SOVIET ATOMIC ENERGY VOLUME 21, NUMBER 4
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,
Vol me 21; Number' 4
October, 1966,
SOVIET
ATOMIC
ENERGY
ATOM,HAFI 3HEPiNfl
(ATOMNAYA iNERGIYA)
- _TRANSLATED FROM RUSSIAN
CONSULTANTS BUREAU
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SOVIET
ATOMIC
ENERGY
Soviet Atomic Energy is a cover-to-coVer translation of Atomnaye
,
Energiya, 'a publication of the Academy Of Sciences of the USSR.'
\
An arrangement with Mezhdunarodnaya Kniga, the Soviet book
expOrt agency, ,makes available'both. advance copies, of the Rus-
sian journal and original glossy photographs and artwork. This
serves to decrease thenecessary. time lag between publication
of the original and publication of the translation and helps to im-
prove the quality of the latter. Thp translation began with the first
issue of the Russian journal.
Editorial Board of Atpmnaya Energiya:
Editor: M. D. Millionshchikov.
Deputy Director, Institute of Atomic Energy
imeni1. V. Kurchatov
Academy of Sciences of theUSSR
Moscow, USSR
1
Associate Editors: N. A.Xolokortsov
N. A. VlasoN)
? A. I. Alikhanov
A. A. Bochvar
N. A..Dolilezhar
V. S. Fursbv
? I. N. oolovin
V. F. Kalinin
A. K. Krasin
A. I.:1,eipunakii _
V.V.,Matveev
M. G. Meshcheryakov
P. N. Palei
V.B. Sherchenko:
D. L....,Simonenko
- V. I. Smirriov
Vinogra/doV
A. P. Zefirov"
? Copyright ? 1967 Consultants Bureau, a division -of Plenum Publishing Corpora-
tion, 227 West-17th Street, New York, ,N. Y. 10011. All rights reserved, No article
contained herein may be reproduced for any purpose whatsoever \Without per-
'mission of the publishers,
,
SubscrIption Single Issue: $30
(12 Issues):?15 Single Artidle: $15
9
Order'from:'
CONSULTANTS BUREAU S.
227 Wet 17th Street, New York, New York 10011
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SOVIET ATOMIC ENERGY
A translation of Atomnaya Energiya
Volume 21, Number 4 October, 1966
CONTENTS
Engl./Russ.
In Memoriam: Academician V. I. Veksler 905
Synthesis of Several Isotopes of Fermium and Determination of their Radioactive
Properties ? G. N. Akapiev, A. G. Demin, V. A. DruM, E. G. Imaev, I. V.
Kolesov, Yu. V. Lobanov, and L. P. Pashchenko
908
243
Measurement of the Fast Neutron Albedo Dose for Different Shields ? L. A. Trykov,
I. V. Goryachev, and V. I. Kukhtevich
912
246
Application of Nomograms of Equivalent Points in the Kinematics of Nuclear Reactions ?
G. N. Potetyunko
919
254
Neutron Penetration in Air ? P. A. Yampoltskii, V. F. Kokovikhin, A. I. Golubkov,
N. A. Kondurushkin, and A. V. Bolyatko
926
262
Stability of a Circulating Fuel Reactor Neglecting Delayed Neutrons ? V. D. Goryachenko
931
267
Neutron Diffusion Tensor in a Heterogeneous Periodic System with an Arbitrary
Scattering Law ? V. M. Novikov
936
272
Use of Radioactive Catalysts for Dehydrating Alcohols ? Vikt. I. Spitsyn and N. E.
Mikhailenko
941
277
Radiation-Chemical Stability of TBP in Solutions of Hydrocarbons ? E. P. Barelko, I. P.
Solyanina, and Z. I. Tsvetkova
946
281
Solidification of Radioactive Wastes by Fusion in Basalt ? Yaroslav Saidl and Yarmila
Ralkova
951
285
ABSTRACTS
Increasing the Number of Ions Captured in a Magnetic Trap by Photoionization of
Neutral Atoms ? K. B. Kartashev, and E. A. Filimonova
955
290
Optimum Composition of Homogeneous Shields ? S. M. Rubanov and L. S. Shkorbatova
956
, 291
Efficacy of Boron in Metal-Water Shields ? M. A. Kartovitskaya, S. M. Rubanov, and
L. S. Shkorbatova
957
292
Steady State Diffusion of Thermal Neutrons in Media with Random Inhomogenities ?
A. V. Stepanov
958
292
Shielding Properties of Fireproof Chromite and Magnesite Concretes ? D. L. Broder,
V. B. Dubrovskii, P. A. Lavdanskii, V. P. Pospelov, and V. N. Solovtev
959
293
Approximate Description of React3r Kinetics for Stability Studies ? F. M. Mitenkov and
V. S. Boyarinov
960
293
Calorimetric Dosimeter for a Nuclear Reactor ? V. M. Kolyada and V. S. Karasev
961
294
LETTERS TO THE EDITOR
Microwave Radiation from a Quasisteady State Plasma ? N. A. Gorokhov and G. G.
Dolgov-Saveltev
962
295
Tolerances in Linear Ion Accelerators with Quadrupole Focusing of the Accelerating
Field ? A. P. Malltsev
963
295
Some Laws of the Distribution of the y-Field of a Soft Emitter ? 0. S. Marenkov
966
297
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CONTENTS
(continued)
Engl./Russ.
Some Characteristics of the Field of Back-Scatteredy-Radiation in Working Premises -
N. F. Andryushin, B. P. Bulatov, and G. M. Fradkin
968
298
Neutron Irradiation and the Distribution of Corrosion Products of Constructional
Materials - D. G. Tshvirashvili, L. E. Vasadze, and A. S. Tsukh
971
300
?Effect of Neutron Irradiation on the Electrical Resistances of Titanium'and-Chromiuth
Carbides- M. S. Kovalichenko and V. V. Ogorodnikov
974
302
Determining the Ages of Minerals by Means of the Tracks of Fission Fragments from
Uranium Nuclei - I. G. Berzina and P. G. Demidova
977
304
Energy Characteristics of X Rays with Maximum Voltages of 40-120 kV - R. V. Stavitskii
980
306
Analysis of Integral g -Spectra by the Harley-Hallden Method - L. I. Gedeonov, G. V.
Yakovleva, and I. M. Eliseeva
983
308
East Germany's First Whole Body Counter - K. Poulheim
987
311
NEWS OF SCIENCE AND TECHNOLOGY
Ten Years of the Dubna Joint Institute for Nuclear Research - V. Biryukov
989
313
[The Fourth International Conference on Magnetism "Intermag" - B. N. Samoilov and
V. N. Ozhogin
315]
The Third All-Union Seminar on Refractory Coatings - N. N. Popov
992
316
Seminar on Applications of Radioisotope Techniques and Radioisotope Devices in Process
Control and Monitoring in the Paper, Pulp, and Lumber Industry - V. Sinitsyn
994
318
The RG-1 Geological Research Reactor - Yu. M. Bulkin, A. D. Zhirnov, L. V. Konstantinov,
V. A. Nikolaev, I. A. Stenbok, V. S. Lobanov, and A. M. Benevolenskii
996
319
The SO-1 Neutron Booster - Yu. M. Bulkin, A. D. Zhirnov, L. V. Konstantinov, V. A.
Nikolaev, I. Kh. Ganev, V. S. Lobanov, and B. S. Poppel'
999
321
[Envestigations in the Physics of the Atomic Nucleus in the USA - L. P. Panikov
323]
BRIEF COMMUNICATIONS
Radioactive Isotopes in Machine-Tool Work - V. Sinitsyn
1002
325
11th Session of Team No.1, Permanent Commission of the Council for Mutual Economic
Aid [COMECON] on Peaceful Uses of Atomic Energy - A. Moskvichev
1003
326
Italian Power Reactor and Nuclear Power Plant Specialists Visit the USSR
1004
326
Belgian and Netherlands Specialists on Research Reactors Visit the USSR - E. Karelin
1004
326
BIBLIOGRAPHY
1006
327
NOTE
The Table of Contents lists all material that appeared in the original Russian journal. Items origi-
nally published in English or generally available in the West are not included in the translation and
are shown in brackets. Whenever possible, the English-language source containing the omitted items
is given.
The Russian press date (podpisano k pechati) of this issue was 10/3/1966.
Publication therefore did not occur prior to this date, but must be assumed
to have taken place reasonably soon thereafter.
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IN MEMORIAM: ACADEMICIAN V.I. VEKSLER
Vladimir Iosifovich Veksler, one of the most prominent of contemporary physicists, died on Sep-
tember 22. Soviet nuclear physics lost a brilliant scientist and a remarkable organizer.
V.I. Veksler was born in Zhitomir in 1907. In 1931 he was graduated from the Moscow Power
Institute. While still a student V.I. Veksler began working at the All-Union Electrotechnical Institute.
For many years prior to 1936 he was engaged in x-ray analysis. He developed a new method for making
x-ray measurements by using a modified Geiger counter operating in the proportional region. Much of
his work of this period was devoted to the development of methods for recording ionizing radiation. This
work was later summarized in the monographs "Experimental Methods of Nuclear Physics" in collabora-
tion with N. A. Dobrotin and L. V. Groshev in 1940, and "Ionization Methods in Radiation Research"
written with L. V. Groshev and B.M. Isaev in 1949. In 1935 V.I. Veksler was awarded the academic
degree of Candidate of Physical and Mathematical Sciences.
In 1936 Academician S.I. Vavilov invited V.I. Veksler to work at the Lebedev Physics Institute of
the Academy of Sciences of the USSR. Here Vladimir Iosifovich studied cosmic rays. In the Elbrus ex-
peditions of 1937-1940 V. I. Veksler's group used proportional counters to study the heavy, strongly
ionizing particles in cosmic rays. Even the earliest experimental data argued strongly against the
assumption that the penetrating component of cosmic rays consisted of protons. In 1940 V.I. Veksler
defended his doctor's dissertation on "Heavy Particles in Cosmic Rays."
The war interrupted V.I. Veksler's work on cosmic rays. However, during the war years he was
able to apply radio engineering methods used in cosmic ray physics to the solution of several important
defense problems.
Beginning in 1944 V.I. Veksler led a cosmic-ray research group to Pamir. The most important
results of this stage of the work was the discovery of a new type of shower, later called an electron-nu-
clear shower, in which electrons are formed along with secondary nuclear-active particles. The inves-
tigation of the properties of these showers and their production set the whole trend in cosmic-rayphysics.
While carrying on his cosmic-ray research Vladimir Iosifovich was also for a long time seeking
new methods for accelerating charged particles. After the construction of the cyclotron, a device which
played an important role in nuclear physics, there occurred a lull
in the development of particle accelerators. It seemed that the
relativistic increase in mass of the particles set a limit on the
energy which could be attained in a cyclotron. In 1944 V. I.
Veksler conceived the principle of phase stability. This fruitful
idea revolutionized accelerator technology and established the
basis for all ultrahigh-energy accelerators in operation, under
construction, or being designed. V. I. Veksler noticed that if the
increase in mass is very large it is possible to construct a rela-
tivistic cyclotron. For if the increase in mass changes the
period of revolution by a multiple of the period, resonance is not
destroyed. An accelerator of this type was later called a
microtron.
In developing the theory of the microtron V. I. Veksler dis-
covered a remarkable property of resonance accelerators called
phase stability. It turned out that the relativistic increase in
mass with energy may be used to preserve resonance when
there is a change in accelerator parameters. V.I. Veksler
proposed a whole series of accelerators using the principle of
phase stability. The most important of these were: a synchrotron
Translated from Atomnaya Energiya, Vol. 21, No. 4.
905
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accelerating electrons to ultrahigh energies, a phasotron or synchrocyclotron accelerating protons to
1000 MeV, and a synchrophasotron to accelerate protons to ultrahigh energies.
In 1947 a small 30 MeV synchrotron, under construction since late 1944 at the Physics Institute,
was put into operation. This synchrotron, the first in the Soviet Union, has been used successfully for
research in nuclear physics. In 1949 a 280 MeV synchrotron was started up.
For several years V.I. Veksler worked in the fields Of photonuclear and photomeson physics where,
under his leadership, much first-class research was performed, Among these projects were the proof of
isotopic invariance in photomesonic reactions, the photodisintegration of the deuteron, the photoproduction
of IT- mesons close to threshold, and the creation of 70 mesons in deuterium. In the latter problem part-
icles were selected by their time of flight in a magnetic field. This allows one to separate the effects of
the photoproduction of 1-0 mesons with and without the disintegration of the deuteron, and shows that the
cross sections of the two processes are comparable.
As a result of the initiative of V. I. Veksler, S. I. Vavilov, and D. V. Efremov, the development of a
large proton accelerator ? the 10 GeV Dubna synchrophasotron - was begun in 1949. At the same time
a model of this accelerator was constructed at the Physics Institute. At the present time it is being used
to accelerate electrons to 700 MeV. During this period V. I. Veksler was devoting most of his attention to
the construction of large accelerators, but he steadily continued his search for new accelerator methods.
In 1947 Veksler, Burshtein, and Kolomenski proposed a stochastic acceleration method where even
in the absence of resonance it is possible to arrange conditions so that particles acquire large energies
in a random fashion during a finite time interval.
The so-called coherent method of acceleration, differing in principle from all previously proposed
methods was introduced in 1950. In ordinary accelerators the particles acquire energy from an external
electromagnetic field which is synchronized with the motion of the particles. In the coherent method the
particles themselves produce the accelerating field whose magnitude is proportional to the number of
accelerated particles.
In research performed from 1950 to 1958 various schemes for coherent accelerators were studied:
1) the radiative acceleration of plasmoids; 2) the acceleration of proton clusters by electron clusters; and
3) he collisions of clusters and ring currents. Experimental tests of these methods have recently been
started.
After the startup of the Dubna synchrophasotron in 1957 Veksler switched back to high-energy
physics. After the discovery of the antisigma minus hyperon he focused his attention on the study of the
creation of strange particles by high energy 7r- mesons. Some important rules were established for
these phenomena. The work on the investigation of resonance interactions of elementary particles was
of great importance.
V.1. Veksler spent a good deal of his time working with students, many of whom are now leaders
of large scientific establishments working in the fields of accelerators, cosmic rays, plasma physics,
nuclear physics, and high-energy physics.
In 1947 Veksler was elected a Corresponding Member of the Academy of Sciences of the USSR and
in 1958 he was made a member of the Academy. In 1963 he was elected Academic Secretary of the
department of Nuclear Physics of the Academy of Sciences of the USSR. He was awarded the Lenin prize
and other high scientific awards of the USSR for his work. V.1. Veksler's services in the field of scien-
tific development in the USSR have been rewarded by three Orders of Lenin, an Order of the Red Banner,
and medals.
V. I. Veksler organized many international conferences on high-energy physics and accelerators.
He was active in organizing international cooperation in these fields of physics. For several years he
was a member, and then chairman, of the International Commission on High-Energy Physics.
V.I. Veksler's contributions to science were not confined to his research, books, and inventions.
He examined the work of students and colleagues with exceptional care, generously sharing ideas, dis-
cussing problems, making suggestions, and offering criticism.
By his modesty, his astonishing capacity for work, and his boundless love of science he inspired and
906
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1,4
z
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instructed his co-workers. Students were attracted to him, and he particularly enjoyed working with
them.
The memory of V. I. Veksler, distinguished scholar and physicist, will always remain in the history
of science and in the hearts of all who knew him.
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907
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SYNTHESIS OF SEVERAL ISOTOPES OF FERMIUM AND
DETERMINATION OF THEIR RADIOACTIVE PROPERTIES
G. N. Akaptev, A.G. Demin, V. A. Druin,
E.G. Imaev, I.V. Kolesov,
Yu. V. Lobanov, and L. P. Pashchenko
UDC 539.172.817:546. 799
The article describes the results of experiments in which U238 and U238 were
irradiated with accelerated ions of .016, using an internal beam of the OIYal 310-cin
cyclotron. In the procedure used, the products of the nuclear reactions were collected
by Means of a stream Of gas, and the a-decay was then recorded with (Si +Au)
detectors. The excitation functions of (016, xn)reactions were studied. Four
isotopes of fermium, with mass numbers of 250, 249, 248, and 246, were investigated.
Data on the energies and half-life periods of these isotopes were obtained.
Among the transuranium elements the products of nuclear reactions caused by heavy ions are, for
the most part, relatively short-lived neutron-deficient isotopes. One of the principal modes of decay
of these isotopes is a-decay. The cross section of formation of these isotopes decreases with
increasing Z because of the strong competition from fission. In order to obtain information on new
isotopes in this range, we need a rapid and highly efficient method which can also provide good energy
resolution in the recording of the a-particles. These requirements are satisfied, in the main, by the
method of collecting the reaction-product nuclei by adsorption from a stream of gas [1].
The purpose of the present study is to examine the a-decay of neutron-deficient isotopes of fermium
by this method.
MEASUREMENT PROCEDURE
Figure 1 shows a diagram of the apparatus. A number of technical details of its design are taken
from the work of V. L. Mikheev [2].
A beam of accelerated ions was passed through the aluminum foil of the chamber inlet window,
the target, and the foil of the outlet window, hit the collector, and was recorded by means of a current
integrator. The reaction-product nuclei knocked out of the target were slowed down in a helium-filled
chamber and then carried off by a stream of gas through an approximately 0.5-mm diameter opening into
the sampler. A hermetically sealed VN-1 vacuum pump was used to maintain the pressure drop
between the chamber and the sampler. It continuously pumped the helium out of the sampler and through
a system of traps, cooled with liquid nitrogen, into the chamber. The pressure in the chamber was
selected on the basis of the path lengths of the reaction products.
The recoil nuclei caught by the stream of helium were deposited inside the sampler on special
collectors consisting of discs 10 mm in diameter attached to the ends of a cross-shaped member.
When the member was rotated through 90?, the accumulated activity to be recorded was transferred to a
semiconductor detector. A Maltese cross was used for precise positioning of the member when the
collector was exposed to the detector (during the measurement) and to the stream of helium (to collect
the recoil nuclei) and to shift it rapidly from one position to the next (in about 0.12 sec). It was
mounted on the same shaft with the cross-shaped member and driven by an electric motor and a
transmission system.
The energy and time distributions of the pulses were analyzed as follows. The amplified pulses
from the semiconductor detector passed through a linear network to an analog-digital converter if
their amplitude exceeded the threshold of the discriminator. In the analog-digital converter the pulse
Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 243-246, October, 1966. Original
article submitted May 17, 1966.
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Fig. 1. Diagram of experimental apparatus; 1) ion collector; 2) outlet window
(15 ? Al); 3) target (backing 6 IA Al, uranium layer 1 mg/cm2), 4) inlet window
(6p Al); 5) ion beam; 6) recoil-nucleus collectors; 7) semiconductor detector;
8) to preamplifier; 9) helium; 10) to current integrator; 11) to preamplifier; 12)
semiconductor detector; 13) Maltese cross; 14) pulley; 15) helium; 16) filter;
17) pump; 18) activated charcoal; 19) liquid nitrogen; 20) Dewar flask.
amplitude was converted into a series of standard pulses, which were then recomputed by means of a
binary-decimal computer. The pulses, corresponding to the range of energies measured, were recorded
by a digital printer designed on the principle of a telegraph instrument [3].
The system driving the Maltese cross was adjusted in accordance with the half-life of the activity
measured and was fixed by an automatic circuit consisting of a chain of triggers which converted the
pulses from the shaper and had a tracking frequency of 50 cps. The conversion factor of this chain
determined the duration of one measurement-and-irradiation cycle and could be varied from 26 to 212
(Tcycle
=1-800 sec).
When the system changed from irradiation to measurement, the motor was fed by means of a
starting pulse from one of the triggers of the automatic circuit. After the cross-shaped member had
turned 90?, the manipulator of the HF generator was shut off and the linear transmission network
was opened.
The automatic control system determined the eight time intervals of the measuring process. The
arrival time and amplitude of the reported pulse were marked by the telegraph instrument.
RESULTS OF THE EXPERIMENT
The fermium isotopes were synthesized in nuclear reactions in which targets of natural uranium
and U235, with a thickness of 1.5 mg/cm2, were irradiated with accelerated 016 ions. The energy of the
ions was measured in the 80-105 MeV range by shifting the sampler along a radius. This energy is
enough to evaporate 4-6 neutrons from a compound nucleus.
*.sA When natural-uranium targets were irradiated, we observed activities with a-particle energies of
7.42 d 0.03, 7.53 ? 0.02, and 7.88 ? 0.03 MeV and half-lives of 30 ? 3, 2.6 ? 0.7, and 0.60 ? 0.06 min,
respectively.
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Cf 246 Cf 244,245 FM249 Fm248
6.73 717 753 788
fo-3?
o.510-3?
80
90
100
416, MeV
Fig. 2. Excitation functions of the reactions
U238 (016, 4; 5; 6n) Fm256-248 (curves 1, 2,
and 3, respectively). The absolute values
of the cross section were not measured;
to convert to absolute values, we used
known data on the Um (016, 4n) Fm250
reaction [4]. The statistical errors
are shown.
102
to
20 40 60
Channel number
a
To= 2.6 ? OE min ?
0
100
200
300 t, sec
Fig. 3. a-particle spectrum measured when
U238 targets were irradiated with 016 ions
(a), and decay curve of Fri1216 (b).
The yield of each of these activities as a function of the energy of the bombarding ions is shown
in Fig. 2. Each curve has the characteristic shape for the excitation function of a reaction with neutron
evaporation from a compound nucleus.
The a-particle energies and half-lives of the products of the (016, 4.6n) reactions agree with the
known a-particle energy and half-life values for Fm 25? and Fm248 [4-7].
Figure 3 shows the a-particle spectrum measured when Um targets were irradiated*. The
measuring time, equal to the irradiation time, was 400 sec. The group of a-particles with an energy of
7.53 MeV and a half-life of 2.6 min apparently belongs to Fm249 formed in the U238 (016, 5n) reaction.
In [8] the following values are given for the half-life and a-particle energy of Frn249: T1/2 = 150 sec,
Ea = 7.9? 0.3 MeV. Since the a-particle energy in [8] was found by the photo-emulsion method, our
value for the a-particle energy of Fm246 is more accurate. The a-particle energy of Fm 246 is in good
agreement with the classification given in [9]; its decay curve is shown in Fig. 3.
The half-life measurement results were analyzed by the method of least squares. The resulting
value of T112 is practically identical with the data of [8].
From studies dealing with excitation functions of similar nuclear reactions [10], it is known that
the maximum cross section for a reaction in which five neutrons evaporate is much higher than the cross
section for reactions in which four neutrons and six neutrons evaporate. This rule is a general one and
must also hold for the reactions we used for synthesizing the isotopes of fermium.
* The data of a number of experiments with different 016 ion energies were added together.
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The ratio we found for the maximum yields of Fm25?, Fm248, and Fm248 a decay indicates that Fm249
decays by electron capture in a large percentage of cases.
It is useful to determine the ratio between a decay and electron capture when Fm248disintegrates.
It is a practical impossibility to determine this ratio by recording the a decay of the isotopes Es242 and
Cf248 produced in the electron capture of Fm248, sinbes Es249 undergoes electron capture in 99.9% of the
cases, while the half-life of the Cf242 is 360 years. However, the fraction of a decay may be estimated
on the basis of the ratio we observed for the maximum yields of Fm249 and Fm248; this ratio is approxi-
mately 0.8. If the fractions of a decay in the disintegration of Fm249 and FM.248 are denoted by al and a2
respectively, we obtain the following formula:
al?max (018, 6n)
?max (018' 5n) ?
The ratio of the maximum cross sections of the U238 (018, 6n) Fm248 and U238 (018, 5n) Fm249 reactions
should be close to the value of 0.5 obtained for the ratio of the maximum cross sections of the U238 (018,
6n) Fm250 and U238 (018, 5n) Fm251 in [10]. According to the classification, the value a should be
close to 100%. 2
Thus, the fraction of a decay in the disintegration of Fm248 (the fraction ad is approximately 40%.
On the basis of this figure, we can state that the prohibition factor on the a decay of Fm249 is approxi-
mately unity.
In addition to these tests, we irradiated a target enriched with U238 (U235 content???=--: 90%). For 018
ion energies corresponding to the estimated values of the maxima of the excitation function of the 05
(018, 5n) reaction, we obtained an activity with T112=1.4 0.6 sec and an energy of Ea =8.23 ? 0.02 MeV.
These values are in good agreement with the values given in the classification for Fm246. As the energy
of the bombarding ions is increased, the yield of this activity decreases, in accordance with the behavior
of the excitation function of a complete-fusion reaction with the evaporation of five neutrons. It must be
assumed that this a activity belongs to Fm248.
The authors are grateful to G. N. Flerov, Corresponding Member of the Academy of Sciences of
the USSR, for his constant help and useful advice; to V. M. Plotko, G. Ya. Tsin Sun-yan, V. I.
Krashonkin, and Yu. V. Poluboyarinov of their assistance in conducting the experiments; to the staff of
the Radio Electronics Group for designing the apparatus; and to the staff of the Semiconductor Detector
Group, who furnished us with silicon a-detectors.
LITERATURE CITED
1. R. Macfarlane and R. Griffioen, Nucl, Instrum. and Methods, 24, 461 (1963).
2. V. L. Mikheev, Offal Pre-print 2991 [in Russian]. Dubna (1965).
3. E.G. Imayev and L. P. Chelnokov, Rept. No. 148 at the Sixth Sci. and Tech. Conf. on Nuclear
Electronics [in Russian]. Moscow, Atomizdat (1965).
4. V.V. Volkov et al., ZhETF, 37, 1207 (1959).
5. S. Amiel et al., Phys. Rev., 106, 553 (1957).
6. A. Ghiorso et al., Phys. Rev. Letters, 1, 18 (1958).
7. A. Ghiorso, Atomnaya Energiya, 7, 338 (1959).
8. V. P. Perelygin, E. D. Donets, and G. N. Flerov, ZhETF, 37, 1559 (1959).
9. V. Viola and G. Seaborg, J. Inorg. Nucl. Chem., 28, 697 (1966).
10. E. D. Donets, V. A. Shchegolev, and V. A. Ermakov, Yadernaya fizika, 2 1015 (1965).
911
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Declassified and Approved For Release 2013/03/12 : CIA-RDP10-02196R000700040004-0
MEASUREMENT OF THE FAST NEUTRON ALBEDO
DOSE FOR DIFFERENT SHIELDS
L. A. Trykov, I.V. Goryachev,
and V.1. Kukhtevich
UDC 621.039.58;539.125.52
The energy distribution of neutrons reflected from iron, soil, water, and
polyethylene is measured with a monocrystal scintillation spectrometer for
various angles of incidence of a beam of reactor neutrons at the surface of the medium
being studied. The relationship is developed between the magnitude of the neutron
albedo dose and the layer thickness for iron. The experimental data from this
paper are compared with the results obtained by other authors.
A knowledge of the albedo is necessary in order to solve many applied problems of engineering
physics; e.g., for calculating the passage of radiation through channels and slits in shielding, for calcu-
lating the dose intensity of scattered neutrons in closed shields, etc. Consequently, great attention has
been paid recently to studying the characteristics of a reflected neutron field.
The numerical albedo of monoenergetic neutrons was measured in an experimental report [1] for
paraffin and water in the case of a normally and obliquely incident beam at the surface of the reflector.
The range of neutron energies of the original beam studied varied from thermal to 5 MeV.
A certain amount of work has been devoted to the calculation of the differential characteristics of
the reflected neutron field by the Monte-Carlo method. In [2], on the basis of the calculated data from
[3], empirical relationships are found which describe the angular distribution of the dose intensity of
neutrons reflected from iron, concrete, and soils of different moisture content in the case of oblique
incidence of monoenergetic neutrons, and neutrons with a fission spectrum, at the surface of the
reflector. The numerical and dose albedos are calculated in [4] by the,Monte-Carlo method for iron,
aluminum, concrete, water, and hydrogen.
After completion of the present paper, a report [5] appeared concerning the experimental
investigations of the differential albedo in the case of oblique incidence of reactor neutrons on samples of
concrete, 180 x 180 mm and ? 23 cm thick. A narrow unidirectional beam of neutrons was used for the
measurements together with an isotope detector located at a sufficiently large distance from the illumi-
nated spot on the shield. Fast neutron dosimeters were used as detectors.
In the present paper, we studied the energy distributions of fast neutrons reflected from iron, soil,
water, and polyethylene in the case of normal and oblique incidence of a broad unidirectional beam of
neutrons at the surface of the reflector. In addition, the dependence of the neutron albedo on the thick-
ness of the plane layer of an iron reflector was studied. The measurements were made with an isotope
detector located at the surface of the shield.
A zero-power reactor was used as the neutron source. The beams of neutrons were conducted
through a cylindrical channel in the shielding with a diameter of 25 cm. The angular divergence of the
primary neutron beam was not greater than 40. (To a good approximation, the beam could be assumed
to be parallel.)I The neutron beams were directed onto the barrier being studied, which had cross-
sectional dimensions of 1000 x 750 mm. The nonuniformity of the neutron beam at the surface of the
reflecting medium was not greater than 10% at a diameter of 70 cm.
The experiment showed that for all the media studied and at angles of incidence of the beam at the
barrier of up to 70?, the cross-sectional dimensions of the latter ensured complete collection of the
reflected radiation; in other words, the condition for an infinitely-wide beam was fulfilled. The barriers and
detector were oriented relative to the primary neutron beam by means of a special kinematic device.
Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 246-254, October, 1966. Original
article submitted April 5, 1966.
912
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Nix
C41
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.1
c'7.1
100
10-'
10-2
fo-3
to-4
10" 0
TI!Itie
1 rt,14,54?
IV
A
. .
'
A
.
P 401111P
?
M
r
4ti;
i _
401
#
P
. z .
8.i:it.
'..+.1. t=5cm
1- ALA
+IT
r
11
A
A20 436 )
A ,f8 to
0.
-PI
rte.
b
1.1
eh
2T:44.? ad1111111'
g IIIII?
4110
ily
,
64
t ?2.5c m4.
CA
OA
OA
1 cA
41
1
ft
li 4. .
+ ?
kt+ al-
C
A
.
P 4011 ,,
$0,
10
11r
AtiP-
cA
'Ito&
oto
Act, 60,p AP
--?...
A .., a a 0 A0434. ez),,A0
-4
,
#
OP'
A
40
z .
fa
A
A
, le
I
100'
2
3
En, MeV
Fig. 1. Procedure for measuring the neutron albedo. a).4) By the difference of
effects at the detector; b) (+) with the conical shield; c) (A), d) (0) by the difference
of effects at the detector for limiting position of the crystal relative to the screen.
A.z. = active zone; D = detector.
A monocrystal scintillation neutron spectrometer was used as the neutron detector, with a y-ray
discrimination with respect to the time of luminescence similar to the spectrometer described in [6].
This was mounted on a type FEU-13 photomultiplier with a monocrystal of stilbene, 30 x 20 mm. The
spectroscopic recording threshold for neutrons, as a result of cooling the photomultiplier to -5? C was
0.1 to 0.15 MeV for a y-ray discrimination factor of ? 2 x 10-3.
If required (for measuring the albedo with hydrogeneous media) the degree of y-ray discrimination
was fixed at ? 4 x 10-4 and in this case the spectroscopic threshold was 0.2-0.3 MeV. The amplitude
distributions were transformed into energy spectra by the method of channelled smoothing differenti-
ation [6].
The total mean-square error of the measurements was 15% in the worst case; for water and
polyethylene, and for iron and soil it was not greater than 10%.
913
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V dI:4.
? ? : ?
51./N
w-2
Elk
?
S.
.?????
?
S.
W-5
w-7
...a= 0?
?,??%
????
".?
0.
S.
30?
????
50?
??
70?
"4.
.1.? ?
Si
? .11.0
I.
?
? ???
?
*****
x5'10-2
x5.1P
??????
x.5.10-4
w-eo
x510-5
2 3 4 5 6 7 En,mev
Fig. 2. Spectra of neutrons reflected from iron with a thickness of 19 cm at irarious
angles of incidence of the beam on the shield (here and in Figs. 3-6, the reactor
neutron spectrum is shown by the points m).
The flux of neutrons reflected from the layers of iron was measured by two methods (Fig. 1). In
the first case (see Fig. la), the number of reflected neutrons was recorded on the background of the
primary radiation, i.e., by the difference method. In the second case (Fig. lb), the nonscattered
neutrons were suppressed by the shield cone. Each method has obvious advantages and disadvantages,
but the second is preferable from the point of view of the time of measurement. The completely
satisfactory agreement in the albedo values (not worse than 10%) measured by both these methods
confirms that the shield cone does not introduce any significant discrepancies into the measurement
results.
Figure 2 shows the total energy distributions of neutrons reflected from iron 19 cm thick at
different angles of beam incidence on the screen (the angle of incidence of the a beam on the screen is
measured from the normal to the surface of the screen). In the case of reflection of fast neutrons, this
thickness of iron is almost equivalent to a semiinfinite medium [2]. In Fig.2, the differential albedo is
plotted along the axis of ordinate, determined as the flux of reflected neutrons at the surface of the
scatterer over the energy range from E to E+dE, relative to the neutron flux in the original beam at the
same point over the same energy range. The spectra of the incident neutrons are shown in the
same figure.
914
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4.0.7
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100
to-2
to
10
10
W ?
4411 VI
... "...,,?
:
..
.
..
t ill?ft
Vtab
??_v_
. ...... ..
? I . . . ......
?
? Ito.
..... ...
....4...
a =0*
?e.
0.....
-?? ..
S".?
1.
e.%. .4*
s .....
...
? ???
% e...
..... ..
.
... 30?
....%
.
? .....
,5.10-2
%.????
?
...
.....
????.
. ?... _
"4
.?
.. ??,,
50? ? ? ..
.....
?..
?s.._...
? ..
? %??? .
X510-3
????
..
-...
70?
? ???? '
? ......
' ...... .
?-?..i..
.......
x510
?? .?.
x5.10-5
2
3
4
5
Fig. 3. Energy distribution of neutrons reflected from soil.
6
7 E,, MeV
It can be seen from the plotted data that in the energy region below ^, 2 MeV, a certain relative
buildup of neutrons occurs in the spectrum of the reflected neutrons, which leads to a soft spectrum of
the reflected neutrons in comparison with the incident spectrum.
At a neutron energy of En > 2-3 MeV, the form of the spectrum remains approximately the same
as for the initial energy distribution. This behavior of the spectrum can be explained by the fact that in
the region of :energies greater than ^, 3 MeV, the inelastic neutron scattering cross section is almost
independent of the energy, and for En < 3 MeV, it is reduced sharply with decreasing energy. The energy
losses by elastic interactions with iron nuclei are small. This is due to the relative buildup of the
number of neutrons in the energy region of less than 1 MeV.
Figure 3 shows the total energy distribution of neutrons reflected from a layer of soil 30 cm thick
(equivalent to a semiinfinite medium [2]). The soil density was 1.65 g/cm3. The chemical composition of
the soil used in the experiment is as follows:
Element
Content, wt.%
Hydrogen
1.02
Oxygen
54.68
Silicon
41.0
Aluminum
1.30
Iron
1.13
Calcium
0.87
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915
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0('0/0,(E)
100
10-
10-
10-
10
10
1- 2 3 4
4
ITS '.?
sli el
ci
0
0
?,...
a
E . -
? : n
V it
b
11%N.
U.
ul,
....
ea.
.....
? ..
...... . ? . .
..
.
,
--...0
000
eec
.
..
t tr
%
%
08
%
*0000
oco
"cb%oo
0000.0
? ? ? .
00%.
0 00.,
?o
oce.
%
?
% a=0?
%.c.
"?%00
0
0000
.
0000.
0 0
%
\
900
0000
00 30*
0.0000
000000
00
00000
00
on
0000
0 0 0
x5 10-t
ot
%
000
900 00
0000
0.0000
000.
30?
00%
.000 -
000 .
0.000
x510 t
%'4140
00
00
*00000000
..
000000
00?000
0.
0
.000
? o c 0
?0 0
x510-2
lbo 0
0000
4.0
0 % 0. 0 0,0
50?
0.00
0.4,
'0 %
.
.0000000 .
0
0000
x510 2
000 70?
0000
0000
00
0
0.0 0
x5?10-3
-00
70
??00.00 .0
00o0000000..
x5/03 00000
x510-3
00000
.0-
x510-4
0
0.000
x510-4
Fig. 4. Spectra of neutrons reflected from layers of water (a) and polyethylene (b).
Since the soil is composed of elements from the middle portion of Mendeleev's Periodic Table of the
Elements, the general nature of the neutron interactions with nuclei of these elements is almost the
same as for iron.
Figure 4 shows the total spectra of neutrons reflected from water and polyethylene of identical
thickness (10 cm) for various angles of incidence of the beam at the surface of the medium. They differ
from one another in the irregularities due to the nature of the total neutron cross sections in hydrogen
and carbon. In the spectra of neutrons reflected from water, irregularities are noticed in the region of
energies of "' 1 and 2 MeV, due to peculiarities in the neutron cross sections in oxygen nuclei at these
energies. The considerable increase of the spectrum of neutrons reflected from polyethylene in the
region of 3-5 MeV is due to irregularities in the energy-dependence of the total neutron cross sections
in carbon nuclei.
The energy distributions obtained enabled us to find the relationship between the magnitude of the
neutron albedo dose and the angle of incidence of the beam on the medium. In order to convert the
neutron energy distributions to dose intensity, the conversion factors for flux to dose intensity given
in [7] were used.
Figure 5 shows the dependence of the magnitude of the neutron albedo dose for iron (19 cm thick),
soil (30 cm), and water (10 cm) on the angle of incidence of the beam at the surface of the reflector.
The calculated results of the neutron albedo from iron are plotted in the same figure. These were
obtained specially for this experiment by the Monte-Carlo method. The agreement between the calculated
results and the experimental data is very satisfactory and is within the limits of experimental and compu-
tational accuracy.
916
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0.9 It can be seen from Fig. 5 that the dependence of the
magnitude of the neutron albedo dose on the angle of incidence of
0.7 the beam at the iron shield agrees with the conclusions of [2]
-0 and is accurately described by the expression
r2
0.5
0.3
0.1
3
0 10 20 30 40 50 60 70 80 90
a, deg
Fig. 5. Dependence of the magni-
tude of the neutron albedo dose on
the angle of incidence of the beam
on the medium. 1) Iron, 2) soil,
and 3) water.
Qb(E)Ictb(E)
to
10-1
to-3
to-5
to-5
to-7
A (a) = Ao cos2/3 a,
(1)
where Ao and A (a) are the values of normal and oblique incidence
(at an angle a) on the shield of given thickness.
The neutron albedo for water as a function of the angle a
is entirely different. It can be seen from Fig. 5 that the neutron
albedo dose for water increases slightly with increase of the
angle a (up to 700) and can be described by the relationship
A (a) = Ao cos a ? 0.30 (1 ? cos a).
This dependence of the albedo on the angle of incidence is ex-
plained by the singularity of the scattering of neutrons by
/(2)
4
f ? : .
1?;.; ..14.4..
tn.
...
N.
??
???
? ?
?
?? v
?
? . lk
.4.
??
NS
IiL.?
es...
s....
??
....
ft .
???
es
.....
...
i - i.g CM
es..
.. ... ? . . ? . .
..
??
.?
?
????
?
...
.
?
.
.
? . t = 19 CM
...
e
:
%.
...
...
?......
.
**I.
.?
. ..
...
?
???10-1
? ?
....9.5cm ? x5
?...
?
. -
%es
? .......
?..
? . .
...
?
9.5cm
.....
L.
...
*?.
..
-?-.
? ? ?
.
?
e S..
es.
*.b..
.. 5cm
???
***?...
? .10-
. x5 ...
?Nst
?
s..
es..
?
..s....
....
.?
.
.....
. .. 5-cm
? ' ? ?
....
??, .
2.5cm
..
e.
??...
.
?????.
.11.-4-. -e-
X.5*/0-1
x5 2
.10-
e.
. x5-10-3
?..
??
.......
? .
.......
2.5 CM
..
?%.
??
??
? ?
..
.
.%
%.
.....
..
x5.10-3
...
?...
x510-1
??..
x5.10-4
2
3
4
2
3
Fig. 6. Spectral distribution of neutrons reflected from layers of iron of different thicknesses.
a) a= 0? ; a=50?.
En,MeV
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1.0
-0o
hydrogen nuclei (in comparison with iron). The scattering
of neutrons by hydrogen nuclei is directed predominantly
0.8 "forward." Therefore, by increasing the angle of incidence
of the beam at the surface of the scatterer with decreasing
values of the scattering angles of the neutrons in an elemen-
tary event, removal of neutrons at the surface being illumi-
nated increases the probability for a neutron to proceed in
the direction of the source with small loss of energy. This
fact, together with an increase of the probability of a neutron
being reflected in view of the reduction of the distance from
0 4 12 16 20 24 28 32 t, cm the centers of scattering to the surface ? resulting from an
increase of the angle ? covers the tendency towards reduction
of the magnitude of the albedo because of the reduction of
the neutron flux through the surface being illuminated as a
result of increasing the "grazing" of the beam incidence at
the surface of the scatterer. The data obtained for a =90?
are in good agreement with the results of 12] and [4], al-
though in the latter paper this value was calculated only for
neutrons with an initial energy equal to 3 MeV.
The value of the albedo dosage of neutrons for iron, in the case of normal incidence of the beam on
the shield, was found to be 0.82; this agrees well with the data of [2,4]. The close equivalence of a 19-cm
thick iron plate to a semiinfinite medium is verified by the results obtained in this paper of the study of
the relationship between the albedo and the thickness of the reflector; these results are presented in
Figs. 6 and 7.
It can be seen from Fig. 7 that by increasing the thickness of the reflector, the magnitude of the
albedo dosage can be made to increase, and asymptotically approach a certain limiting value correspond-
ing to the magnitude of the albedo for a semiinfinite medium. It can be seen from this figure that when
a =50?, the increase of the magnitude of the albedo with increase of the normal reflector thickness takes
place somewhat more rapidly than for a =00, which agrees well with the conclusions of [5].
In the general case, the magnitude of the neutron albedo dose as a function of the thickness of the
iron reflector and the angle of incidence a of the neutron beam on its surface can be described by
the expression
0 0.6
-o
rn
0.4
G.)
121
0.2
ir -50?
Fig. 7. Dependence of the magnitude of
the neutron albedo dosage on the iron
thickness. A, ? - data from [2].
0 14
A (1, a) =- Am cos% a (1? e cos a),
(3)
where Am is the magnitude of the neutron albedo from a semiinfinite medium of iron, equal to 0.90.
The magnitude of the total neutron albedo dose for soil, in the case of normal incidence on its
surface of the neutron beam, obtained in this paper is 0.54, which agrees very well (? 5%) with the data
of [4, 5] and somewhat less (? 15%) with that of [2] for very similar chemical compositions of the soil.
Analysis of the results of [2, 4, and 5] and the data from the present paper show the generality of
the values obtained for the albedo dosage for the media studied, since they depend weakly on the form of
the spectrum of the neutrons emerging from the reactor.
LITERATURE CITED
1. A. M. Kogan et al., Atomnaya Energiya, 7, 351 (1959).
2. R. French and M. Wells, Nucl. Sci. and Engng, 19, 441 (1964).
3. F. Allen et al., BRL Rapport No.1189, 1190, 1199, 1204 (1963).
4. M. Leimddrfer, FOA-4, Rapport A 4365-411, Stockholm, (1966).
5. R. Maerker and F. Muckenthaler, Nucl. Sci. and Engng, ?22, 455 (1965),
6. Yu. A. Kazanskii et al., Atomnaya Energiya, 20, 143 (1966).
7. G. Gol'dshtein, Principles of Reactor Shielding. Moscow, Gosatomizdat (1961).
918
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APPLICATION OF NOMOGRAMS OF EQUIVALENT POINTS IN
THE KINEMATICS OF NUCLEAR REACTIONS
G. N. Potetyunko UDC 539.107.1:518.3
The representation of kinematic relations in nuclear reactions at nonrelativistic
energies by nomograms of equivalent points is considered. Working nomograms
enabling all kinematic problems in reactions involving the yield of two particles and
some extremely important problems (transformation of cross sections and continuous
spectra from the laboratory system of coordinates into the center-of-mass system)
for reactions involving the yield of three or more particles to be solved are presented.
The nomograms not only mechanize a great deal of the calculations, but also provide a
picture of the physical aspects of scattering following from kinematical considerations
and show how measuring errors affect the error in determining the remaining kine-
matic parameters.
The nomograms under consideration are extremely convenient for practical use, since they are
quite simple and give high accuracy; a particularly important point is that they also give a clear geomet-
ric representation of all the special features in the functional relationships being studied.
The authors of [1, 2] published a nomogram for the system of equations [3]
ctgO, ?P1+ cc's 15 ?
sin* '
(1)
describing the interrelation between the escape angles of the products of nuclear reaction I + II - 1 + 2*
in the laboratory or L system (1.511 andi.9.2), the escape angle in the center-of-mass or C system (61), and
the beam energy EI. The quantities pi (2) constitute the ratio of the translational velocity to the
velocities of particles 1 and 2 in the C system and are calculated from the formulas [3]
7
Ai.2,E, A
1 nti(2)mi ,
P1(2) = E1442.8 . , 1(2) in2(101/1 '
ml
= B1-- ,
mii mi nz2
(2)
A weak point of the nomogram given in [2] is the fact that values of.1511 (2) close to 0 and 7i do not appear
on the t511 (2) scale. Figure 1 (a and b) presents nomograms obtained from those mentioned by a projective
transformation effected by means of formula (6) (see [1]) with X --- 1/1/24 (Fig. la) and X --- 1/1/1,.25
(Fig. lb). Values of15ti (2) close to 7/2 do not appear on these nomograms. Thus the nomograms of
[2] supplement those derived in the present paper. The advantage of these is not only that they mechanize
the computing process but also that they reflect some of the aspects of the reaction in a clear geometric
form. This aspect is fully treated in [4], and we shall therefore here concentrate mainly on aspects
omitted from the earlier paper.
Let us first consider the critical points of the nomogram, the intersections of its scales. In our
case the scales intersect at p1=1 and p2=1. These values of pi and p2 correspond to the following values
of beam energy, which we shall call critical:
Ef,i) 7712Q .rniQ (3)
'Cr m,?m2 7 1,1 n11?m1
* Subsequently index 1 means the light reaction product and index 2 the heavy reaction product. On this
condition piLs p2.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 254-262, October, 1966. Original
article submitted February 16, 1966.
919
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191 ,
19,
20 Second answer ? 10 Given 0 170
fsi I II .1111H. Ii1)111?111111{1.1i111111,1,,I
160
170 \ 50 10
192\ 20
? \ P,1
Scheme of nuclear reaction ?.\.
int
\ \ 3
mi mil. ff \
2
In2
0
Given
1.0
P-2 2.0
2.5
170 160 150 140
a
2.5-1
10 20 30
First answer
191 4.0 Ulf
P260
60 50 40 .30 20 10 10 170 160 150 140- 730 , 120
t 11dt:41.1,1i1 I? . 14?tl ? .1'1111.W:411 ? I lIjIlIl
12030 40 50 60
. ? 192 160 fir\5 1701160015014200130120
1 ?WO - 192
100
90
80
70
60
50
Scheme of use
Second answer Given of
160
11,1I
20
192
Given
192
P2 First answer
130 140 150
Scheme of nuclear reaction
ir4
55
mil
0.50
0.80
0.90
.90
80
70
60
50
40
1.00??
P2
1.10
1.15
Fig. 1. Nomograms for equation system (1). Example. Given iSli=8?,pi= 0.5; p2= 0.1. We
find 612= 166? 40'; -61=12?.
The values p1= 1 and p2= 1 separate single- and double-valued regions in the relation between angles
1St
and L92. For p1< 1 and p2 1 to one escape angle ,51i of the light reaction product there corres-
ponds one escape angle 612 of the heavy reaction product, but to one angle IS'2 there correspond two
angles J. For p1 > 1 and p2 > 1 the relationship between tSli and t512 is mutually double-valued. The
relations between pi and p2 for various conditions are shown in Tables 1 and 2.
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TABLE 2. Conditions of Various Relations
Between pi and p2 for Q< 0
TABLE 1. Conditions of Various Relations
Between pi and p2 for Q > 0
Relation
between
P1 and P21
mi>ml;
in2>mi
1n2>m1
ml m2Q
ml?m2
Relation
between
p, and P2
P2ini;
m2>ini
mimi
ml I;
P2 > 1
m2Q < EI <
rni? m2
MiQ
< ? nzi
MQ
1. For reactions of the form 1+11=
1 + 2+3 +... +n (n> 2), the ratio of the cross sections is expressed by the same formula (9), but instead
of p1(2) and tSli %) we have to substitute p'i and
Formula (9) may be presented in the form of a nomogram of equivalent points on rectilinear carriers
with a single binary scale. Unfortunately, in this case it is inconvenient to embrace the whole range of
the variables with one or two nomograms, since the accuracy would then be very low, and a series of
nomograms has therefore to be plotted. One of these is shown in Fig. 2. The scale of o-L is plotted over
a range of 1 to 10 arbitrary units and is divided into two sections. The section from 1 to 3.162 is placed
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on the lett and that from 3.162 to 10 on the right of the carrier. Correspondingly the o-c scale is also
divided into two sections (left and right corresponding to the left and right of the o-L system) and is given
in the same units. The scheme for using the nomogram is obvious from Fig. 2,
By using the nomogram we can obtain a fairly exact numerical estimate of the error A o-c, which is
affected by the following factors: the error A o-L in the measurement of o-L, the error AtSti (2) character-
izing the apparatus and that committed in measuring the angles 01 (2) (or 0 0, and the error pE/ in the
beam energy. The error AEI is made up of two quantities: the error committed in measuring the beam
energy and the error introduced by the energy spread of the beam particles. Thus Au c may be expressed
as the sum of three terms
AgC=A04C(110-L)+Ao-"C(6d1(2))+AcrinC(AEI)?
The first term depends on the error Ao- L. The value of this may be found from the nomogram (see
Fig. 2). Here Ao'L is counted along the crL scale and Ao-c along the ab scale. The second term depends
on the value of AL.St1 (2) (or A00. Figure 3 shows Ao-nc/o-c as a function of p for various values of 191(2)
over the range p = 0 to 1. The third term depends on AE/. The quantity Acrmc enters into the nomogram
by way of Ap. The value of Ao-mc must be estimated separately in each specific case. Figure 4 shows
A am /crC as a function of the escape angle in the L system for deuterons from the Li7 (He4, d) Be9
reaction, on the assumption thatEr 13 MeV, EVET =1%, Q = ? 7.152 MeV. Here p= 0.967 ? 0.030.
The quantities pi and p2 enter into all the nomograms considered as one of the scales; these
quantities depend in a fairly complicated manner on the beam energy and the mass of the particles taking
part in the reaction. For calculating pi and p2 there is an extremely simple nomogram, the principle
of which appears in Fig. 5. The basis of this nomogram is a sheet of ordinary millimeter paper. The
method of plotting the nomogram on the mm mesh and the method of applying it are obvious from Fig. 5.
We merely note that the scales marked off along each straight line must be equal (i. e., the scales of
EI and QB along the vertical line and the scales of A and p2 along the horizontal line).
The nomogram for finding the values of pi and p2 may conveniently be used in order to plot double
scales for the P1(2) =f (ED relationship [6, 71. These scales are, first, very convenient in use, and,
secondly, they give a clear indication of the extent to which the error AEI affects the errors in deter-
mining the remaining kinematic characteristics. In addition to this, such scales enable us to establish
the acceptable error AE/, i.e., the value which has no effect on the errors in the remaining kinematic
characteristics. In some cases (e.g., IQ IB 0 and
> 0, the addition of this last vector to a (jco) leads to a dis-
placement of the D-curve shown in Fig. 2* to the left andupward.
It is clear that the magnitude of this displacement is proportion-
al to b and depends on co. As a result of this shift the first
intersection of the D-curve with the axisof abscissas is displaced
* We are considering the branch of the D-curve corresponding
to positive values of co.
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to the left, toward the origin. This means a decrease in the length of the interval over which the alter-
nating regions of stability and instability occur. In addition, for large enough b, a case may arise in
which the displacement of the D-curve in the upper half-plane will be so substantial that the whole D-curve
for co > 0 will lie in the upper half-plane and will not interesect the axis of abscissas. In this case the
system will be stable for any positive values of the parameter a. Since the parameter b, which is pro-
portional to i3eff, characterizes the importance of delayed neutrons, it follows from the above discussion,
first that the presence of delayed neutrons increases reactor stability and second that inequality (19 )is still
a sufficient condition even when delayed neutrons are taken into account, but this condition becomes more
and more stringent as the neutron importance increases.
The Application of the Welton Criterion
We shall show that the Welton criterion, when applied to our reactor model does not determine
whether the reactor is stable. As a matter of fact the transfer function G (p) from power to minus the
reactivity will have the form
f 270(1 ? e-P)11-Pli (p)] 4p
G (P) ? p2 3/2 p (p2 +4;0) [1 ? (p) !
(24)
Substituting p =jco into this expression, and taking the real part of G (jco), we find that, to within positive
factors,
sin o)
(25)
The function G* is shown graphically in Fig. 3.
According to Welton [6] the sufficient condition for reactor stability is G*(co) > 0 for all w> 0.
However, in our case the function G* oscillates in sign, and therefore the Welton criterion does not solve
the stability question. This raises a doubt as to the practical value of that part of [4,5] devoted to the
stability of circulating fuel reactors with distributed parameters.
Thus, as shown in [8], a circulating fuel reactor whose core is a lumped -parameter unit is stable
for any physically realizable system parameters, even in the absence of delayed neutrons. In contrast
to the reactor discussed in [8], a reactor with distributed parameters may be unstable for small impor-
tance of the delayed neutrons. The main reasons for instability are: an extremely large negative value of
the temperature coefficient of reactivity or a temperature drop in the fuel in the core or somewhere else.
A sufficient condition for stability in the small is expressed by the inequality (19) which, it appears,
may be ensured in many practical cases' The presence of delayed neutrons increases the stability of
steady-state reactor operation. We note that this last conclusion is based on a simplified accounting of
delayed neutrons. The exact quantitative characteristics of their effect on stability may be obtained only
after investigating the dynamics of the distributed parameter reactor model with a rigorous description
of delayed neutron emitters in terms of a system of partial differential equations. However, this is an
independent problem and is not discussed here.
The author sincerely thanks N. A. Zheleztsov and E. F. Sabaev for their valuable comments and
their interest in the work.
(7c2-0) (47E2_0)2) ?
LITERATURE CITED
1. L. Fleck, BNL -357, USA (1955).
2. R. de Figueuredo, Paper No. 1815, Presented by Portugal at the Second International Conference
on the Peaceful Uses of Atomic Energy, Geneva (1958).
3. T. A. Welton, Reactor Physics, Materials from the International Conference on the Peaceful Uses
of Atomic Energy, Geneva 1955. Vol.5, Moscow, Izd-vo AN SSSR, p.454 (1958).
4. W. Ergen, Appl. Phys, 25, 702 (1954).
5. W. Ergen and A. Weinberg, Physica, 20 413 (1954).
6. H. Smets, J. Appl. Phys., 30, 1623 (1959).
7. A.D. Galanin, The Theory of Thermal Neutron Reactors, Moscow, Atomizdat, [in Russian] (1957).
8. V. D. Goryachenko, Atomnaya Energiya, 21, 3 (1966).
9. Yu. I. Neimark, The Stability of Linearized Systems, Leningrad, Izd. Leningrad Air Force
Engineering Academy [in Russian], (1949).
* Thus for 1*=10-4 sec, e =10-4/deg C, T 1 sec, nominal reactor operation will surely be stable for
100?C.
Tout 0?Ti n? ?-?'
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NEUTRON DIFFUSION TENSOR IN A HETEROGENEOUS PERIODIC
SYSTEM WITH AN ARBITRARY SCATTERING LAW
V. M. Novikov UDC 621.039.512.4
A general expression for the diffusion coefficient tensor in a heterogeneous periodic
system with an arbitrary scattering law is obtained in terms of quadratures. In contrast
to a homegeneous system where anisotropic scattering affects the diffusion length only .
through the average value of the cosine of the scattering angle, in a heterogeneous medium
the diffusion length is determined also by the higher angular moments of the scattering
index. Using as an example a medium containing voids, it is shown that taking account of'
anisotropic scattering leads to expressions for Li which differ from the familiar Behrens
formulas. The possibility of testing the theory experimentally is discussed.
In solving many problems connected with the diffusion of neutrons in heterogeneous periodic media,
it frequently turns out to be useful to reduce the heterogeneous system to an equivalent homogeneous
medium. In this procedure it is necessary to calculate the effective diffusion characteristics of the
equivalent homogeneous medium. This problem has been solved by many authors for isotropic neutron
scattering in all components of the medium. Ordinarily for an arbitrary scattering law it is assumed
that anisotropic scattering in a heterogeneous medium may be taken into account in the same way as in a
homogeneous medium, by replacing all scattering cross sections by transport cross sections in the
expression for the diffusion coefficient tensor Di [1-4]. However, this analogy is not generally valid. In
this connection there arises the question of the correct evaluation of the effective diffusion parameters of a
heterogeneous periodic system with an arbitrary scattering law. The solution of the problem is presented below.
The General Expression for the Di Tensor for a Medium with an Arbitrary Scattering Law
The diffusion tensor in a heterogeneous ,periodic system may be conveniently calculated by using the
integral form of the transport equation. As is shown in [5], this method is completely equivalent to the
mean-free-path method used in [1, 21. We write the transport equation for the neutron distribution
function f (r,S2) for the diffusion of monoenergetic neutrons in a weakly absorbing medium (bts -rz"b1) far
from the source
f (r, 0) = dR?s (V) e-I-7-R X S dffc (r', 52S2')f (i', a'),
(/*n)
(1)
where Ps (r) and ? (r) are respectively the macroscopic scattering and total cross sections at point r;
r'
Si (r") dr" is the "optical" neutron path between points r and r'; SP and S2 are unit vectors character-
izing the direction of the neutron velocity before and after scattering at point r'; c (r' 12 12') is the scatter-
ing index at point rl as a function of the cosine of the scattering angle. The arrangement of vectors is
shown in Fig. 1.
To separate out the diffusion along the i-th axis of symmetry of an elementary cell of the medium,
we will suppose, as was done in [2], that there is an infinite
plane source of neutrons at right angles to the unit vector i
which is directed along axis i. In such a system the neutron
flux may be written as the sum of two terms. The first term
fo (r) describes the overall decrease in flux along axis i; for
sufficiently weak absorption it will be a linear function of x.
The second term characterizes the "microstructure" of the
flux within each cell and takes into account the effect of the
Fig. 1. Arrangement of the Vectors.
Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 272-276, October, 1966. Original
article submitted May 23, 1966.
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heterogeneous nature of the system on the flux. This term is clearly a periodic function of coordinates
with a period equal to the period of the cell.
f (r, St) = to (r) ? (21-)0F1 (r, 0), (2)
where the factor?(9f0/9x)0is introduced for convenience. Since the quantity fc, (r)is determined to within
a constant, it may be supposed that the volume average of the microflux over any cell is zero, i.e.,
F (r, St) d52> (3)
(4a)
where denotes the average over the volume of an arbitrary cell of the medium.
The homogenization of a heterogeneous periodic system consists in replacing it by an equivalent
homogeneous system for which the neutron flux and current are equal to the averages over the volume of a
cell of the corresponding exact flux and current in the heterogeneous medium. Let us denote the flux in
the equivalent homogeneous medium by IF (r). Then
?Di d52(1t?i)(f(r, 52));
(4`70
KW) = (19 (1 (1', 9)).
(4)
Using Eqs. (2) and (3) we obtain from (4) the expression for the diffusion tensor
D, 4`1Q (f2. i)Fi (r, St). (5)
v'ce e ( )
To calculate the function Fi we substitute (2) into Eq. (1) and use the fact that the flux fo (r) falls
off linearly along the i axis, i.e., fo (r?) =f0 (r)?(90xj)0 R (St ?i). After some simple transformations we
obtain the inhomogeneous integral equation for Fi
cso
Fi (r, Q)=(52.1)1 (r, ?52)? dR4t(r')e-1ilx dcYc(r', St?St')Fi(r', S2'), (6)
(/;,,)
where / (r, ?St) = Re- '7Ra (r') dR is the mean free path of a neutron from point r in a direction oppo-
site to St . Equation" (6) may be solved by the method of successive approximations. It is easy to see
that the series for Fi converges, since in the limiting case of a homogeneous medium this procedure
gives the series expansion of the solution in terms of the average value of the cosine of the scattering
angle a. Thus the diffusion tensor in an arbitrary heterogeneous periodic system may be written as a
series involving integrals of the mean free path I (r, St) and the scattering index c (r, ?11 ,).
Let us discuss the general calculational scheme by using a homogeneous medium as an example.
In a homogeneous medium with spherically symmetric scattering the solution for the function Fi has the
form Fi (r, ft) =(Z. i)/2-1. If this expression is substituted into Eq. (6) it is easy to see that the integral
term vanishes. When the quantity (St?i) -1 is substituted for Fi in the case of an arbitrary scattering
law, the integral term becomes equal to a (2?0?-1 where a = dQc (SI. f2') (S2. f2') is the mean value
(4a)
of the coSine of the scattering angle. Therefore applying the method
of successive approx.imations to Eq. (6) we obtain Fi =(S2 ? i)? -1 x
st?
(1+a+a2+...)=i . Substituting Fi into Eq. (5) we obtain the
familiar result for a homogeneous medium: Di=(1/3)/Atr? Let us now
consider a heterogeneous medium. If the heterogeneous system has
axial symmetry the diffusion tensor has two different components:
DII for diffusion along the axis of symmetry and Di, for diffusion per-
pendicular to the axis. If scattering in all the components of the
medium is spherically symmetric, the exact solution for the function
FII has the form Ell =(iii) 1 (r, ). Actually in this case c =1 and
the integral S dQ (SI?iii) 1 (r, 12) vanishes because of the symmetry
'(47r)
Fig. 2. Diagram for a medium
with cylindrical channels.
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of the problem. The neutron mean free path upward along ill is equal to the corresponding mean free
path downward (Fig. 2). Therefore for spherically symmetric scattering the exact expression for D has
the form
D11 = DI?) = 9 (S2. i)2 (1 (r, 0)). (7)
(4n)
For the function F there is no such symmetry of the mean free paths and therefore even for
spherically symmetric scattering the expression for F does not reduce to a result analogous to (7).
In this case the quantity DI" = 5 \ x (/ (r, )corresponds to the first approximation to the solution of
(4 rt) 43-C
the integral equation (6). For spherically symmetric scattering, taking account of higher approximations
to the function Fl corresponds to taking account of the microstructure of the flux for diffusion in the
transverse direction [2, 4]. For an arbitrary scattering law the quantity S dS2' (5/?i) c (r, 0? 0') 1 (r, 0')
(47)
Is different from zero for any direction. In the linear approximation to the scattering index the function
Fi has the form
F (r, 0) (0 ? i) 1 (r, ?0)? (r') X d52' (SE ? i)c (r, ? 0 ? 0') 1 (r', 0').
(47o
(8)
Substituting this value into Eq. (5) and interchanging the order of integration over r and r', we obtain,
after some simple transformations,
dQ dQ . ?
D (52?i)2 (1(r, 0))? ? (0 .1) ? X (sz ? 1)(4141(r)c (r, ?011)/ (r, 0) /(r, 0')).
43-t 431
(4)rt) n (4n) (4n)
(8)
The second term in Eq. (9) takes into account the contribution to Di of the averages, over the volume of
a cell, of the angular correlations between two successive free paths of a neutron in a heterogeneous
medium with an arbitrary scattering law. Similarly it can be shown that taking into account the next
approximation to the solution of Eq. (6) reduces to calculating averages over a cell of the angular corre-
lations between two free paths separated by one arbitrary intermediate free path etc.
Neutron Diffusion in a Medium Containing Voids
Let us consider an application of the general formula (9) to the description of neutron diffusion in a
homogeneous medium with empty channels of circular cross section. We shall assume that the channels
are far enough apart so that a single free path intersects no more than one of them. The first term in
Eq. (9) leads to the familiar result of Behrens [1] for a system with isotropic scattering
Do? I +2p+?apQ,
3p. 1+p '
(10)
where p is the ratio of the volume of a channel to that of the moderator in a cell; a is the radius of the
channel; the coefficient Qi is equal to two for D11 and to unity for DI. The presence of the factor ? (r)
in the second term of Eq. (9) reduces the averaging over the volume of a cell to an integration over the
volume of the moderator in the cell. It is convenient to separate out of this term the part which corres-
ponds, in the linear approximation in a, to replacing the scattering cross section in the first term by
the transport cross section. To do this we write the quantity 1 (r,C2)in the form 1 (r, CZ ) =12 -1+61 (r,12),
where the term ?l takes into account the fraction of the free path connected with the intersection of the
boundaries of separation of the components of the heterogeneous medium. Then the product of free
paths may be written as a sum
Values of Coefficients 6Qi Ai and Bi for ?
a>> 1
Direction of i axis
6Qi
Ai
Bi
Along axis of channel(PI)
Perpendicular to axis of
channel (1)
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0.23
0.3
0.39
0.28
0.24
1 (r, 0)1(r, 0') = lit (r, 52)+1(r, )]
2
(r, 0) 6/ (r, 0').
It should be noted that each of the first two terms
of Eq. (11) depends on a single angle variable. When
(10) is subsitituted into (9) this fact allows us to inte-
grate over one angle variable in each of the first two
terms. Then by applying the same calculational
procedure as used in obtaining (10) we find
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_43t 4c!..5i_21 (1.1.0 dfr: (2, i) 0.0,) {1(r, 1,2) + i(r, 0,) ___1_27] =3; ?
ii++2pp (12)
Oinod (47) (in)
It is easy to see that in the linear approximation in a the addition of (12) to (10) effectively reduces
to replacing the scattering by transport cross section in (10). Therefore, in the linear approximation in
the scattering index, the diffusion tensor Di for systems with voids may be written in the form
Di 1 ?1+2p+ ?trap()d4S2 (si dt j 4S12; (Q, ?
ri?dc3re4nc ( ? -Si) 6/ (r, f2) 6/ (r, 12'). (13)
31-ttr 1+P
(4n) (471) vmod
In contrast to the first term, the second term in (13) is determined not only by terms proportional
to a, but also by higher moments in the expansion of the scattering index in Legendre polynomials. For
simplicity we henceforth limit ourselves to the first three terms of the expansion
4ac (0 ? Sr) + (S2. ft') 513P2(9 ? SY), (14)
where The quantity 61 may be determined from the geometry of the system (cf. Fig. 2)
6/ (r,
sin 0 a
si n2 cp exp X { sii): 0 L pa cos cp ? V1 ? Ciy sin2y , (15)
where p is the distance from the point under consideration to the axis of the channel; 0, cp are the polar
angles of the vector ft, i?5- sin-1 p /(p+ a).
Let us consider the case where bta. ? 1 which is the most interesting practically. It is easy to show
that in this case the integration over r in Eq. (13) does not depend on 2. Finally we obtain
r
?4x (A2 r (Kr 7 (9'.i) c (?
f' d3r aQ ?
f.2? ft') 6/ (r, 52) 61(r, Sr) = 3 0 +' ) ( 6Q id-aA i ?I3Bi), (16)
47t (n . i) --41 ) 1--e,
(yr* (") (Vmod) 11 P
where the coefficients 6Qi, Ai, and Bi are given by
3 2n n , n/2
60 ? cult +0/37 -- 43tvi civ \ dO dO' chi> cicp'
cos2 cos2 (p' sin 0 sin 0'
(52 ? i) (Sr ? i) [1 ? 3a (f2? SY) 5P/32(f2?12')].
X sin 0 cos (p+ sin 0' cos (p'
Thus for anisotropic scattering the diffusion tensor in a medium with voids has form
Di 1+2p + Rap() i (1 ?6(2i -FaAt
? 1 + p
If we use the expression 40= iil+ap for the average absorption cross section in a medium containing voids
we can then obtain from Eq. (18)the tensor for the square of the diffusion length
L
13= 1 + 2p -1- p,apQ i (1? WI+ aAi ?B).
(17)
(18)
(19)
This expression differs from Behrens, formula [1] and that of Benoist [4] in containing terms propor-
tional to a and P.
The values of the coefficients 6Q1, Ai and Bi listed in the table correspond to the condition pta. ?1. In
general when this condition is not satisfied Eqs. (17) and (18) still hold but the coefficients depend on the
parameter pa. However, even for tia z 2 these coefficients differ only slightly from the values given
in the table.
In the next approximation to Eq. (6), terms proportional to a2 and 132 appear in Eqs. (17) and (18).
These correspond to the angular correlations of two free paths separated by one arbitrary intermediate
path. It can be shown that taking account of higher approximations in the solution of (6) reduces to
replacing 6Qi - aAi + pBi in (17) and (18) by a more general expression which may be written as the
series/ (6Q ? a" A ik ?f3'Bk). It should be noted that for longitudinal diffusion all the 6Qik vanish
=-1
by symmetry.
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Thus taking account of anisotropic scattering in a heterogeneous medium leads to the appearance of
new terms in the expression for the diffusion coefficient tensor which have no analogues in the corres-
ponding expression for a homogeneous medium.
The dependence of the diffusion length in a heterogeneous medium on higher angular moments of the
scattering index allows one in principle to determine the mean square value of the cosine of the scattering
angle by comparing the diffusion length in a continuous medium with that in a medium containing voids.
We note that although Eqs. (9) and (10) were obtained under the assumption of weak absorption, they
may be applied also to neutron multiplying systems. As a matter of factthe assumption of small neutron
absorption was used only to justify the small change in neutron flux over an elementary cell of the medium,
a condition which is clearly satisfied in many reactor systems.
CONCLUSIONS
Let us estimate the contributions to the expression for the Di tensor made by the new terms derived
here. The most interesting part is Di' for which OQii,k = 0, It is clear that for bta>> 1 the last term in
(19) may be much larger than the sum of the first two terms. For hydrogen the quantities a and /3 are
2/3 and 1/4 respectively, and therefore a Ail-- i3B1l P-? 0.11. Taking account of terms quadratic in a can
only increase this result. Therefore on the whole one must expect that for ?a >> 1 these terms will amount
to about 10 to 20% of the terms of the corresponding Behrens formula, For the diffusion of thermal
neutrons in water a r-z1 1/3 and therefore the above estimate is in principle still valid.
For diffusion in the transverse direction the contribution of terms depending on a is appreciably
less. This is due to the fact that, unlike for the case of diffusion in the longitudinal direction, in this case
there appear terms proportional to a due to taking account of higher approximations in the solution of
Eq. (6) and their contribution will have a sign opposite that of a Ai calculated by Eq. (6). The higher
order approximations for LI are particularly important in a slab lattice. In this case it can be shown
that 1 ? (6(7, ? a A1 k 0,,and therefore for a slab lattice Li /Lg =1 + 2p. For a lattice with
cylindrick channels of circular cross section the corresponding quantity, while not zero, makes an
essentially smaller contribution than for diffusion in the longitudinal direction.
Thus taking account of anisotropic scattering leads to still larger anisotropies in neutron diffusion
in heterogeneous media. The experimental data of I, S. Grigor'ff2v [6] on the diffusion of thermalneutrons
in water containing voids reliably indicate a difference between Lu /14 and the value given by the Behrens
formula. This difference is in satisfactory agreement with the above estimate of the contribution of the
new terms in L.
From the point of view of the experimental investigation of the effect it is interesting to measure
the neutron age in water containing voids using a source energy of no more than a few hundred kilovolts.
This condition is desirable since in this region the scattering cross section does not depend on energy.
For comparison it is interesting to measure 11 /L,?, for the same parameter bttr ap in graphite and
water containing voids (ac 0, a H20 1 /3 ) ?
We note that in a two-component slab lattice, when one of the components scatters neutrons weakly,
the contribution of the new terms to L1 may be larger than in a system with cylindrical voids. Later we
propose to calculate similar corrections to the diffusion tensor for arbitrary two-component media.
LITERATURE CITED
1. D. Behrens, Proc. Phys. Soc., A62, 607 (1949).
2. N. I. Laletin, Proceedings of the Second International Conference on the Peaceful Uses of Atomic
Energy, Vol. 2, Moscow, Atomizdat , p. 634, [in Russian] (1959).
3. J. Ferziger et al., Nucl. Sci. and Eng. 10 285 (1961).
4. P. Benoist, React. Sci., A13, 97 (1961).
5. V. M. Novikov, Atomnaya Energiya, 20, 520 (1966).
6. I. S. Grigor'ev and V. M. Novikov, Diffusion of Neutrons in Heterogeneous Media, Moscow,
Atomizdat [in Russian] (1966).
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USE OF RADIOACTIVE CATALYSTS FOR
DEHYDRATING ALCOHOLS
Vikt. I. Spitsyn and N. E. Mikhailenko UDC 541. 128. 3:553. 76
The authors show that catalytic processes can be influenced by radioactive radiation. The
addition of radioactive material to a catalyst greatly changes the velocity and apparent
activation energy of the process, and sometimes changes the direction of a heterogeneous-
catalytic reaction. It is shown that radioactive radiations produce qualitative changes in the
catalyst and have a marked effect on the adsorbed layer of molecules on the catalyst surface
which become polarized, the degree of polarization depending on the structure of the reacting
molecule.
In the USSR the properties of radioactive catalysts have been studied since 1957 [1, 2]. The
principal results of these investigations are given in [3-81. Research in other countries includes work
at Oak Ridge [9-12], University of Illinois, and in France [13].
30
20
10
0
40
30
20
10
0
The present paper is a detailed study of the dehydration of alcohols over different catalysts
(magnesium sulfate containing S35 [14.15], tricalcium
a b phosphate with Ca45 or P32 [16], and aluminum oxide with
30 various additives [17]). The radioactive catalysts were
prepared by introducing the radioactive isotope during
20 the chemical reaction of the initial reagents, or by
irradiating the catalyst in a nuclear reactor.
Figure 1 plots the yield of olefin (the reaction
product of alcohol dehydration) versus temperature on
a magnesium sulfate catalyst containing S35 [E (13 )max =
0.167 MeV]. The catalystts specific activity was
100 mCi/g. The increase in the degree of conversion at
350?C was as follows; for n-amyl alcohol 200%; n-hexyl
alcohol 121%; n-decyl alcohol 42%; n-dodecyl alcohol
26%; total conversion of cyclohexanol begins at a
temperature 40?C lower.
Figure 2 plots the yield of propylene vs. temperature
over tricalcium phosphate catalyst containing Ca45[E (/3 )m
= 0.255 MeV] or P32 [E (13 )max = 1.70 MeV]. The increase
in the degree of conversion for these two isotopes is 400
80 and 700% respectively. It will be seen from Figs. 1 and 2
that the reduction in the optimum process temperature
300 340 380 400 300 340 380 T?C
300 310 380 400
100
40 -
30
20
10
0
300 340 380 T, 'C
60 may reach 100-120?C.
We made a detailed study of the dehydration of
alcohols of different composition on magnesium sulfate
catalyst versus the radioactive isotope content. Magnesium
sulfate was made by the method in [5] and contained
0.95% H2O, so its composition was MgSO4? 0.06 H20. The
specific activity of these catalysts was in the range
15-160 mCi/g. The specific surface, determined by
adsorption of krypton or air at the temperature of liquid
300 310 380 T, 'C
Fig. 1. Degree of conversion of alcohol
K, plotted vs. temperature over radio-
active MgSO4. a) n-Amyl alcohol; b) n-
hexyl alcohol; c) n-decyl alcohol; d) n-
dodecyl alcohol; e) cyclohexanol; 0)non-
radioactive; *) radioactive MgSO4, ac-
tivity 103-105 mCi/g.
Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 277-281, October, 1966. Original
article submitted July 8, 1965; revised May 23, 1966.
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.80
60
40
20
0
280 300 320 340 360 380 T, ?C
Fig. 2. K vs. temperature over
radioactive catalyst Ca3(PO4)2?
1120.0) nonradioactive; V) radio-
active with respect to calcium,
activity 58,1 mCi/g; ?)radio-
active with respect to phosphor-
us, activity 52.2 mCi/g.
K
160
140
120
100
80
60
40
20
0
-20
-40
-60
-80
Fig. 3. Degree of conversion of alcohol K,
plotted versus specific radioactivity of
magnesium sulfate Q at 375?C. 1) n-Amyl
alcohol; 2) n-hexyl alcohol; 3) n-decyl al-
cohol; 4) n-dodecyl alcohol;5)cyclohexanol.
nitrogen, was 4-7 m2/g. To calculate the apparent activation energy at zero order of the reaction, we
selected conditions on a nonradioactive catalyst for which the degree of alcohol dehydration would not
exceed 30%.
Figure "3 plots the degree of conversion of alcohol at 375?C versus the logarithm of the catalyst's
specific radioactivity. The appearance of a minimum on these curves can be attributed to the change
in the limiting stage of the process on the radioactive catalyst's surface. Alcohol dehydration probably
has a carbonium-ionic mechanism:
?H? --H20 ?H+
enli2n+1011 CnI12n+10H-2- Call42-n+1 C,142,
As a result of bombardment by 13 particles, MgSO4 becomes positively charged. This intensifies
the adsorption of alcohol molecules on the catalyst's surface and assist their protonization. The next
stage of the reaction, the removal of a molecule of water, is slower, as was observed in the case of
catalysts with low specific activities. At higher specific activities of magnesium sulfate, polarization
of the adsorbed intermediate products and dehydration of the R011-21- ion are intensified. This explains
why in the specific radioactivity range 80-100 mCi/g the dehydration velocities of all these aliphatic
alcohols displayed a marked increase on radioactive magnesium sulfate. A further increase in
specific radioactivity to 120-160 mCi/g does not produce such a marked increase in catalytic activity,
and in the case of n-dodecanol the activity becomes constant. This was attributable to the attainment of
equilibrium in these two stages of the process. In the case of cyclohexanol dehydration, minimum
catalytic activity of MgSO4 was observed for a catalyst with specific activity 0.7 mCi/g (see curve 5 in
Fig. 3).
In the case of aliphatic alcohols the range of increased catalytic activity of MgSO4 is 80-160 mCi/g,
but is much wider in the case of cyclohexanol (2.5-160 mCi/g). This is evidently due to the different
orientations of the alcohol molecules on the catalyst's surface [18, 19] and to the fact that cyclic
molecules display greater polarization than molecules of aliphatic alcohols.
It will be seen from Fig. 4 that for all these alcohols the activation energy of the catalytic process
at different specific activities of MgSO4 can be calculated from the Arrhenius equation.
Figure 5 plots the apparent activation energy EK vs. the specific radioactivity of MgSO4 for each
alcohol. With increasing number of carbon atoms in the aliphatic alcohol chain the EK of dehydration
over nonradioactive MgSO4 decreases and reaches a minimum in the case of n-dodecanol. In accordance
with its structure, cyclohexanol has an even lower EK.
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logx
16'
8,
6
4,
jogx
5.6 10/
-
6-
4
2
1.5 1.6 1.7 1 ,,k103 10 15 1.6 .43
T'
ioo
Pig, 4: Log of the reaction rate plotted verSUS 1/Y; a) aleohol; b) aleehbi:; e)
aleOlibt; 0) ii-dodecyl alcohol ; CyClOphekanol. Catalyst Mist:fat nonradioactive; activity
15-10 mCi/g; 3) 45-54 mCi/g ; 4) 78.-430 itiCi/g; 5) 1.03105 hidiAt :6') ?1304'60 inCi/g,
30
20
10
4.1
4
3
20 40 60 80 100 120 140 160
Q, mCi/g
Fig. 5. Ex of alcohol dehydration,
plotted vs. specific radioactivity
Q of the catalyst. 1) n-Amyl al-
cohol; 2) n-hexyl alcohol; 3) n-
decyl alcohol; 4) n-dodecyl alcohol;
5) cyclohexanol.
In Most cases EK decreases With increasing content Of
radioactive isotope : A fairly simple relation between Ex and
the isotope Content is observed only in the case Of cyclohexahel,
for which Ex decreases eloWly With inerea.,?ing spetifie
radioactivity and then remains Constant. this agrees With data
obtained for Catalysts with the Compositions 1VIgS64 + Iga.2804 and
Ca3(PO4).2?1120.
A more Complex relation was observed for aliphatid alcoholsi
in the ease of n-ainyl and n-hexyl alcohols an increase in the
specific radioactivity of MgSO4 > 100 mCi/g increases the activa-
tion energy somewhat, but it remains below the value for a
nonradioactive catalyst. For n-decyl and n-dodecyl alcohols, at
high specific radioactivities of MgSO4 the value of Ex increases,
as opposed to its decrease in activity range 85-100 mCi/g. On
catalysts with activity 100-160 mCi/g the EK of all these alcohols
becomes virtually Constant ( - 12-16 kcal/mole). It should be
noted that in the temperature range of the experiments, the yield
of olefin from alcohol dehydration decreases, despite the fall in
Ex above radioactive catalysts.
The complex relation between the EK of the catalytic process and the catalyst's absolute
radioactivity indicates changes due to radiation. The latter must also affect the adsorbed layer of
molecules which participate in the reaction on the cataly?tts surface.
For a more detailed study of the changes in structure and Composition of sulfate catalysts, we
employed infrared spectroscopy [20], nuclear magnetic resonance and thermography [21]; The first
phase in this part of the investigation was a study of the infrared spectra of k2SO4 specimen8 subjected
to different doses due to the different initial specific radibactivitie's with respect to S35. At the time
the measurements were performed, the K2SO4 specimens had Very weak residual radioactivities
(0.01-0.02 mCi/g).
Figure 6 shows the infrared spectra of K2SO4 with initial specific radioactivity 3, 40, 50, and
94 mCi/g. The dose received by the specimens was 64019, 9-1020, 1-1021 and 2.2-1022 eV/g respectively
The absorption spectra of specimens containing radioactive isotopes are characterized by splitting of
the valence vibration absorption band (1100-1200 cm-1) and increased intensity of the bands at 1200
and 1000 cm-1. These changes in the SO4 group may be due to a change in the charge of this group,
namely the loss of a monovalent electron and therefore a change in the electron cloud of the group.
The infrared spectra of highly radioactive magnesium sulfate displayed a slight shift (+10 cm-1)
in the deformation vibration absorption band (687 cm-1). It must be borne in mind that magnesium
sulfate crystals are less symmetrical than K2SO4 crystals. It is more difficult to detect slight changes
in the spectra of less symmetrical radioactive specimens. There are grounds for assuming that ions of
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?
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rr
Cr
1
2
3
4
5
700
600
500
400
300
200
100
01
-10
-20
-30
-40
10 50 100 150
0, mCiig
Fig. 7. Change in the degree of conversion
of cyclohexanol and isopropyl alcohol on
radioactive catalyst; 0) MgSO4; ?)
6a3(PO4)2. 1120; C PO4)2' H20.
anomalous valence (SO4- type) are also formed in
radioactive MgSO4. In fact, the authors of [22], who
used the EPR method, found that radioactive specimens
of sulfate of group 2 elements also contain SO( ion-
radicals, It may be supposed that the increase in
catalytic activity depends on the formation of ions of
anomalous valence or ion-radicals.
00C:ncZe0
Our study of the dehydration of different alcohols
showed that if one portion of catalyst (composition
V, cm-1
MgSO4?0.06 H20) is used at 300-400?C for 2-3 h,
Fig. 6. Infrared absorption spectra reproducible results are obtained and the catalytic
of K2SO4 specimens. 1) Nonradio-
activity is retained. However, after a series of
active with initial specific activity;
experiments had been performed, the catalyst's weight
2) 3 mCi/g; 3) 40.0 mC i/g; 4) 497 increased by 5-6% to MgSO4. 0.3-0.4 1120, It was
mCi/g; 5) 90.3 mCi/g; (V is the therefore of interest to study the composition of the
wave number). MgSO4 hydrates formed and the bonding character of
this water. For this purpose we used thermography
and proton magnetic resonance, Thermographic
analysis showed that crystal hydrates of MgSO4 are
formed during the catalytic reaction. The spectra obtained by nuclear magnetic resonance confirmed
that the.water in spent magnesium sulfate catalyst is water of crystallization, and not merely adsorbed.
Hydroxyl groups were not detected in the spent catalyst. If the prepared catalyst is heated at 800?C, its
catalytic activity is greatly reduced. It is therefore very important to know the content and bond
character of the water in a magnesium sulfate catalyst.
The following conclusions may be drawn from this investigation. Isotopes with low radiation
energies are more effective in the case of catalysts with low absolute activities. However, at high
absorption doses the yield of the reaction products increases markedly on catalysts containing radio-
active isotopes with high radiation energies (Fig, 7),
The reduction in the optimal reaction temperatures indicates that it is essentially possible to make
practical use of radioactive catalysts.
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LITERATURE CITED
1. A.A. Balandin et al., Dokl. AN SSSR, 121, 495 (1958); 137, 628 (1961); 86, 299 (1964).
2. Vikt. I.Spitsyn, Izv. AN SSSR, Otd. khim. nauk., No. 11, 1296 (1958).
3. R. Coekelbergs, A. Crucq, and A. Frenet, Advances in Catalysis, 13, 55 (1962).
. V. G. Baru, Uspekhi khimii, 32, 1340 (1963).
5. V. Spitsyne. Nucleus, 4, 284 (1963).
6. V. Spitsyne. Z. phys. Chem., 226, 360 (1964).
7. D. Wagnerova. Chem, listy, 58, 133 (1964).
8. P. L. Gruzin, Report No, 298, Presented by the USSR Delegation to the 3rd International
Conference on the Peaceful Uses of Atomic Energy (Geneva, 1964).
9. Nucl. Sci. Abstr., 24A, 3296 (1960).
10. N. Krohn, H. Smith. J. Phys. Chem., 65, 1919 (1961).
11. N. Krohn, R. Wymer. Paper CN-14/17 Presented on IAEA Conference on the Application of
Harge Radiation Sources in Industry, Salzburg, Austria, (1963).
12. N. Krohn, H. Smith. J. Phys. Chem., 67, 1497 (1963).
13. P. Traynard and L. Orsini, Compt. rend., 252, 873 (1961).
14. Vikt. I. Spitsyn, I.E. Mikhailenko, and O. M. Petrova, Zh. fiz. khim., 39, 478 (1965).
15. Vikt. I. Spitsyn, I.E. Mikhailenko, and 0. M. Petrova, Kinetika I kataliz, 6, 735 (1965).
16. Vikt. I. Spitsyn et al., Dokl. AN SSSR, 146, 1128 (1962).
17. V. Spitzin et al. J. prakt. Chem., 25, 160 (1964).
18. M. P. Maksimova, V. E. Vasserberg, and A.A. Balandin, Izv. AN SSSR, Otd. khim. nauk,
17, No.1, 17 (1963).
19. V. E. Vasserberg, A.A. Balandin, and M.P. Maksimova, Zh. fiz. khim., 35 858 (1961).
20. M. V. Akhmanova and I.E. Mikhailenko, Zh. fiz. khim, 39, 2273 (1965).
21. Vikt. I. Spitsyn, I.E. Maikhailenko, and V. F. Chubaev, Dokl. AN SSSR. 162, 1346 (1965).
22. Vikt. I. Spitsyn, V.V. Gromov, and L.G. Karaseva, Dokl. AN SSSR, 159, 178 (1964).
All abbreviations of periodicals in the above bibliography are letter-by-letter translitera-
tions IA the abbreviations as given in the original Russian journal. Some or all Of this peri-
odical literature may well be available in English translation. A complete list of the cover-to-
cover English translations appears at the back of the first issue of this year.
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RADIATION-CHEMICAL STABILITY OF TBP IN
SOLUTIONS OF HYDROCARBONS
E. P. Barelko, I. P. Solyanina, UDC 541.15:547.27
and Z.I. Tsvetkova
The radiolysis of binary mixtures containing tributyl phosphate (TBP) and ali-phatic or
aromatic hydrocarbons is discussed. The radiation-chemical stability of the irradiated
systems was measured according to the yields of the acid esters (di- and monobutyl phos-
phate) and gaseous products, as well as according to the change in the distribution coef
ficients of plutonium and zirconium between the irradiated organic phase and an aqueous
solution containing 2M nitric acid and the nitrates of these metals.
The concentration dependence of the radiation chemical yields of gaseous and acid
radiolysis products gives evidence of a deviation from the additivity rule and of a transfer
of energy from the aliphatic hydrocarbon to TBP. As a result of replacement of the aliphatic
hydrocarbon by an aromatic hydrocarbon, the yields of the radiolysis products are sharply
reduced. The influence of aromatic hydrocarbons upon the radiation-chemical stability of
TBP is confirmed by data on the distribution coefficients of plutonium and zirconium, the
values of which are determined to a considerable degree by the content of dibutyl phos-
phate?the basic product of the radiolysis of TBP.
It is known that tri-n-butyl phosphate (TBP) is chemically rather stable. However, under de-
finite conditions, for example, under the action of concentrated solutions of acids or radioactive radia-
tions, it is subjected to decomposition ? dealkylation; as a result of these processes, acid phosphates
arise, chiefly dibutyl phosphate (DBP), which form stronger complexes with certain metal ions than
does TBP, which promotes their extraction from aqueous solutions into the organic phase.
The investigation of the effects of radiation on the decomposition of pure TBP was the subject of
[1-7], in which the nature and radiation chemical yields of the basic radiolysis products of TBP are
considered. Until recently, however, the question of the radiation-chemical stability of TBP in solu-
tions of hydrocarbons, in particular, aliphatic hydrocarbons, had not been sufficiently clarified. And yet,
it is well known that precisely such systems are widely used in the technological utilization of extrac-
tion processes [8].. According to the data of Burger and MacClanahan [1], the radiation chemical yield
of the decomposition of TBP does not depend upon the degree of its dilution by octane. Wagner et al.
[2] have shown that aliphatic hydrocarbons appreciably influence the radiation stability of this ester,
lowering the stability of TBP.
Data on the influence of an aliphatic diluent upon the stability of TBP, recently published [5,7],
show that at a low TBP concentration in the mixture, the radiation chemical yield of acid esters exceeds
the value which follows from the additivity rule.
At the same time, a substantial increase in the stability of TBP in solutions of aromatic hydrocar-
bons is noted in comparison with aliphatic hydrocarbons [7]. Analogous results were obtained several
years ago by the authors of this work.
This work was devoted to an investigation of the quantitative principles of the process of radiation
chemical decomposition of TBP in solutions of aliphatic and aromatic hydrocarbons and to the change
in the extraction properties of such solutions.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp.281-285, 1966. Original article submit-
ted April 16, 1966.
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EXPERIMENTAL PROCEDURE
The samples were irradiated in glass ampoules under vacuum and in the presence of air. The
radiation source wasP Co60. The dose rate was varied within the range 71-590 R/sec. The maximum ra-
diation dose was 6.74020 eV/m1.,
TBP was thoroughly freed of traces of acid esters by shaking with a dilute solution of potash, fol-
lowed by redistillation under vacuum. The middle fraction, with boiling point 125?C at the pressure
1 mm Hg, was collected for the work. Dodecane and the investigated aromatic hydrocarbons were
purified by treatment with sulfuric acid and redistillation on a highly efficient column under vacuum. The
concentration of the acid esters was measured by conductometric titration with a 0.01N solution of sod-
ium hydroxide. The sample was mixed with 20 volumes of water before titration; the equivalence point
was calculated according to the titration curves.
A volumetric method was used to measure the total amount of gas liberated during radiolysis. The
yield of the polymer formed from TBP was determined by vacuum distillation of the irradiated sample
(at the temperature 130-140?C). The still residue, nonvolatile under these conditions, was a mixture
of the polymer and acid esters. The amount of the latter, found preliminarily by conductometric titra-
tion, was deducted from the weight of the nonredistilled residue. The difference obtained was taken as
the weight of the polymer.
The distribution coefficients Kp between the organic and nitric acid (2 M) aqueous phases of Pu239
and Zr95 nitrates were used as the characteristics of the extraction properties of the investigated systems.
The Pu239 concentration was determined according to the a-activity, Zr95 according to the 'y-activity.
DISCUSSION OF RESULTS
The results of the radiolysis of pure TBP under vacuum, obtained by the authors of this work
during irradiation of TBP within the dose range 1.39-1020? 1.39-1021 eV/ml, are presented in Table 1
in the form of the summary radiation chemical yields of the gaseous, acid, and polymer products and
butanol. The table simultaneously, presents the literature data for comparison.
From Table 1 it can be concluded that the decomposition of TBP occurs according to a nonchain
mechanism. The differences in the values of the yields are most likely due to errors of dosimetry and
analysis by individual authors and they should not be explained by the different effects of f3- and y-radia-
tion. From the data of an investigation of trialkyl phosphates by the method of electron impact [9], it
follows that the alkylation of compounds of this kind, forming an acid ester, may occur practically in
the primary process.
Figure 1 presents the curves of the dependence of the yield of acid esters and gaseous products
(considering the energy absorbed by the mixture) on the TBP concentration in dodecane solution. It can
be seen that the two curves show evidence of a deviation from additivity. With increasing fraction of
dodecane in the mixture, the yield of acid esters, characterizing the rate of decomposition of TBP,
TABLE 1. Radiation Chemical Stability of TBP
Yield, molecules/100 eV
Type of radiation
gaseous
Literature
products
DBP
polymer
butanol
Co60, y
2.7
2.1
0.91
0.70
[1]
Co60, y
2.54
2.64
-
-
[2]
Electrons, 1.66 MeV
3.1
2.58
[3]
Electrons, 1 MeV. .
1.1
1.67
-
[4]
The same
1.85
1.76 + 0.08
-
[5]
Co60, y
-
2.35
[6]
Co", y ?
-
2.4
--
[7]
Co", y
1.5
1.86
1.0
0.78
Data of
this work
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Influence of Nature of Diluent Upon the Radia-
tion Chemical Stability of TBP
o
x
c
K,
50
TBP concentration, vol. ?Jo
100
Fig. 1. Dependence of the radiation-
chemical yields on the TBP concentra-
tion in dodecane. 1) Acid esters (.?data
of this work; x?data of [7]); 2) gaseous
products (o).
K of K of
P P
plutonium zirconium
60 1,5
50
40
30
1,8
/
10 7
or? .?-?-?.
0 0
4
4
Dose, 1020 eV/m1
Hydrocarbon
Yield, molecules/100 eV
gaseous
product
acid
product
Dodecane
2.8
1.3
Benzene
0.26
0.31
Toluene
0.34
0.44
Cumene
0.44
0.65
Mesitylene
0.52
0.46
Cymene
0.53
0.50
Monoisopropyldiphenyl . . .
0.19
0.22
increases. On the other hand, the yield of gaseous radio-
lysis products, characteristic to a greater degree of do-
decane, decreases with increasing fraction of TBP.
Figure 1 also presents the data obtained in [7]. The vir-
tual coincidence of the results indicates that the indirect
effect of radiation upon TBP, expressed in an increase in
the yield of DBP in dilute solutions of TBP, actually oc-
curs. The energy absorbed by the aliphatic hydrocarbon
is partially transferred to TBP by one method or another,
which leads to additional decomposition of it.
As can be seen from Table 2, replacement of the
aliphatic hydrocarbon in the mixtures by an aromatic
hydrocarbon (volume ratio of TBP to hydrocarbon= 1:1)
leads to a substantial increase in the stability of TBP,
which is expressed in an extremely sharp decrease in
the yields of the acid esters and gaseous products, the
absolute values of which depend upon the nature of the
aromatic substance. The observed increase in the radia-
tion chemical stability can be explained by the transfer of
6 energy from TBP to the aromatic hydrocarbon.
The data obtained are in good agreement with the
results of measurements of the distribution coefficients
of systems of 20 vol.% TBP+dodecane at 20 vol.%
TBP+thymine, irradiated by various doses in the pre-
sence of air. From Fig.2 it can be seen that for the
system TBP+dodecane (curves 1 and 2), the change in
the distribution coefficients is a nonlinear, increasing
function of the dose. The replacement of dodecane by
cymene (curves 3 and 4) leads to a sharp increase in
distribution coefficient of plutonium remains practically constant, while that
little within a broad range of irradiation doses.
Fig. 2. Influence of nature of diluent
on the change in the distribution coef-
ficients_during radiolysis of extrac-
tion systems. Plutonium: 2) dodecane,
4) cymene. Zirconium: 1) dodecane,
3) cymene.
the radiation stability: the
of zirconium varies
In order to evaluate the degree of influence of irradiation of individual components of the extrac-
tion mixture upon its extraction properties, the authors of this work subjected TBP, dodecane, as well
as solutions containing 20 vol.% TBP+dodecane, to irradiation by identical doses (5.7.1020 eV/m1).
From the irradiated TBP and doecane, solutions corresponding to the nonirradiated components, con-
taining 20 vol.% TBP+dodecane, were prepared by dilution. The extraction properties of the systems
obtained are shown in Table 3.
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TABLE 3. Influence of Irradiation of Components of the Extrac-
tion System Upon the Distribution Coefficients
Extractible element
Dose, 10"
eV/ml
Distribution coeffic ient
irradiated syste 111
dodecane
T BP
20 VOL% TBP
+ dodecane
Plu torn=
Zirconium
J.0
15.7
./ 0
5.7
2.03
0.032
21.0
1.62
2.0
32.8
0.032
1.56
0
-4
a
- /log C
-3 -2
- /log C
Fig. 3. Dependence of the distribution coefficients on the concen-
tration c Of DBP, formed in the radiolyzed system: a) zirconium:
(x) TBP+ dodecane, (0) TBP+ cymene; b) plutonium:(x) TBP+
dodecane, (s) data of model experiments [12]; (0) TBP+cymene
(Km is the distribution coefficient of nonirradiated system).
From the data cited, it follows that extraction is mainly influenced by the irradiation of TBP.
This is expressed in a sharp increase in the distribution coefficients of plutonium and zirconium in com-
parison with the nonirradiated systems. Irradiation of dodecane has practically no effect upon the extrac-
tion of plutonium and zirconium. Thus, the change in the extraction properties that occurs when TBP is
irradiated in solutions of aliphatic and aromatic hydrocarbons in the cases investigated can be attributed
to decomposition of TBP, which, as is shown below, proceeds at different rates in solutions of hydrocar-
bons of different structures on account of the indirect action,
If we use the formation of DBP as the criterion of the irradiation decomposition of TBP and con-
sider the change in the distribution coefficient of the element as a function of its concentration, thon as
can be seen from Fig.3 a, this dependence is rather complex in the case of extraction of zirconium; it
is described as an S-shaped curve in bilogarithmic coordinates. However, if we attempt to describe
this dependence approximately as a simple power function, then the exponent obtained will be equal to
one (dotted straight 'line in Fig.3 a). Precisely such a dependence of the distribution coefficient of zir-
conium on the DBP concentration was observed in model experiments [10], in which DBP was specially
introduced into the solution. As it follows from the experiments of the author of this article, as well
as from [11], the nature of the diluent has no influence upon the distribution coefficient in this region
of TBP concentrations. It can be seen that the change in the distribution coefficient of zirconium in the
radiolysis of a TBP solution in hydrocarbon is determined by the decomposition products of TBP and can
be approximately explained by the influence of DBP. In a certain sense, the opposite situation is observed
in the case of the action of radiation upon the distribution coefficient of plutonium in the radiation accumu-
lation of acid esters (see Fig. 3b). A comparison of the data on the dependence of the distribution coeffi-
cient of plutonium on the radiation chemical accumulation of DBP with the data of model experiments with
specially introduced DBP [12] in solutions of aliphatic hydrocarbons gives sufficiently good coincidence of
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the results not only on the nature of the change, but also in absolute values of the distribution coefficients
of plutonium.
In the case of an aromatic diluent, the distribution coefficients of plutonium measured in systems
containing aliphatic and aromatic hydrocarbons do not coincide in the presence of the same concentration
of radiolytically formed acid esters. And yet, the change to an aromatic diluent in the model experiments
of [11] does not decrease, but rather increases the distribution coefficient of plutonium.
LITERATURE CITED
1. L. Burger and E. Mac-Clanahan, Industr. and Engng Chem. , 50, 153 (1958).
2. R. Wagner, E. Kunderman, and L. Taule, Industr. and Engng Chem., 51, 45 (1959).
3. J. Burr, Rad. Res., 8, 214 (1958).
4. F. Williams and K. Wilkinson, Nature, 179, 540 (1957).
5. K. Wilkinson and F. Williams, J. Chem. Soc. , 4098 (1961).
6. V. P. Shvedov and S. P. Rosyanov, Zh. Fiz. Khim., 35, 561 (1961).
7. J. Ca.nva and M. Pages, Bull. Soc. chim. France, 5, 909 (1964).
8. V. Cooper and M. Walling, Jr., in the book: Transactions of the Second International Conference
on the Peaceful Uses of Atomic Energy (Geneva, 1958). Selected Reports of Foreign Scientists
[Russian translation]. Moscow, Atomizdat, 5, p.103 (1959).
9. Mac Lafferty, Analyt. Chem., 28, 306 (1956).
10. V. B. Shevchenko and V. S. Sm-e-lov, Extraction. Collection [in Russian]. Moscow, Gosatomizdat,
No.2, p.257 (1962).
11. V. B. Shevchenko et al., Radiokhimiya, 3, 281 (1960).
12. V. B. Shevchenko and V. S. Smelov, Atomnaya nergiya, 5, 542 (1958).
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SOLIDIFICATION OF RADIOACTIVE WASTES BY FUSION IN BASALT
Yaroslav Saidl and Yarmila Ralkova UDC 621. 039.7
It is shown that fused bas'alt is suitable for immobilizing radioactive wastes having high _
specific activity. It has been found that recrystallization of the vitreous fused basalt phase
improves the properties of the material, principally the mechanical strength and the chemi-
cal stability. The calculated diffusion coefficients vary from 10-15 to 10-17 cm2 /sec at
temperatures of 30-70?C.
In the removal of radioactive wastes, a special position is occupied by the problem of disposing of
? the high specific activity wastes resulting from processing irradiated nuclear fuel.
What we are talking about is manipulation involving large quantities of radioactive materials which
are very seldom encountered in the form of "exposed radiators." In even a short time, the radiation from
these materials destroys all highly developed organisms as well as most of the lower types, and is even
capable of producing irreversible changes in inorganic materials. Accordingly, in every case, high-
specific-activity wastes have to be strictly isolated from the biosphere. In principle, this can be done in
two different ways: by burying the wastes in geological formations which do not come in contact with the
biosphere, or by converting them into chemically stable forms and then burying them in some guarded
area. The first method is simple as far as the chemical operations are concerned, but it is only suitable
for countries containing much desert or unusable territory, and is apt to involve high transportation costs.
The second method is very efficient and can be applied to all countries but is quite expensive.
During the last few decades, some experimental work has been done on immobilizing the mixture
of fission products in various types of materials using silicon as base [1-4]. These studies were first
brought up to the engineering scale in [5].
Under the conditions which exist in Czechoslovakia ? a country with a high population density --it
is impossible to dispose of high-activity wastes in the soil without first treating them. Accordingly, we
made a study of the second method in order to find a suitable material based on the many years of
tradition and experience accumulated by the Czechoslovakian glass and ceramic industry. After care-
fully sampling and classifying the siliceous material available, it was decided to make a study of the
types used to produce chemically highly resistant materials.
First of all, a study was made of several kinds of ceramic materials. The materials resulting
from fusion had satisfactory properties, but the heat treatment was so complicated that we had to give up
the idea of using them. Better results were obtained by the simple method used to make various types of
commercial glass [6]. However, their inherently high chemical resistance was impaired after they had
been irradiated for a considerable length of time, and their temperature increased as a result of decay
of the isotopes that they contained.
Finally, we concentrated our attention on fused minerals of basaltic type, which are noted for their
chemical resistance and mechanical strength. Information on commercial fusion of basalt is given
[7,
8].
The criteria that we used in choosing the material to be used in our studies were the resistance
to hydrolysis and the melting point [9]. Accessibility of the material is no problem, since the supplies
of basalt in Czechoslovakia are practically inexhaustible. Out of 14 trials, the most suitable materials
Institute of Nuclear Studies, Czechoslovakian Academy of Sciences, Rzhezh near Prague,
Czechoslovakia. Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 285-289, October, 1966.
Original article submitted April 25, 1966. The scientific research work on this subject is being done
under an agreement with the International Atomic Energy Agency.
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turned out to be three types of basalt from the deposits in Gelberg, Teshetitsa, and Ogarzhitsa, and olivine
basalt from Slapanz,,* all of which were studied in detail. What was investigated first was whether or not
samples of the materials would keep the radioactive isotope in the solid state once it had been introduced.
To get some idea of the chemical resistance, systematic observations were made of leaching out an im-
mobilized radioactive isotope (of relatively low specific activity) with water, and the diffusion coefficient
of the isotope in the solid was measured as a function of temperature [10-14]. It was found that recrystal-
lizing the vitreous fused basalt phase tends to make it stronger mechanically. The resistance of the ma-
terial to hydrolysis increases in the process, and the motion of the ions is slowed down many times. The
apparent diffusion coefficients calculated from the leaching experiments are in good agreement with the
measured values of the diffusion coefficients in the solid. The values for cesium and strontium are low
enough (less than 10-16 cm2/sec at 30?C)to meet the safety requirements for long-time storage.
Effect of Ballasting Materials
In mocking up the ballasting compounds, we were guided by the most widely used method of process-
ing irradiated fuel, which is that of dissolving it in concentrated nitric acid. First of all, it is necessary to
take into consideration the cations (Na) in the neutralizing agent, the cladding material (A13+), and the
corrosion products (Fe3+, Ni, Cr3+). Further it was assumed that a large amount of free nitric acid
would be present along with an excess of N0-3 anion.
1
Several types of solutions were made up containing either the ions separately or mixtures of them
in various proportions. The following table gives the chemical composition of the prototype solutions in
moles! liter:
1. NaNO3 . 4.0
2. A1(NO3)3 . . 2.0
3. Fe(NO3)3 . ? ? 2.0
4. 11NO3 . . . 5.0
5. NaNO3 . . ? 2.0
Fe(NO3)3 . ? 0.85
Al(NO3)3 . . 0.25
K2Cr207 . 0.03
Ni(NO3)2 ? 0.03
6. NaNO3 . 3.0
Al(NO3)3 . 0.25
Fe(NO3)3 ? 0.25
7. Aluminum cladding 9. Purex process 10. Purex process
solution: (concentrated (neutral
NaA102 . . . 1.2 wastes): wastes):
NaOH . . . . 1.0 Na + 05 Na + 5 1
NaNO3 . . . . 0.6 . A13+ 0 1 Al3+ 0 08
NaNO2; . . . 0.9 Fe3+ 0 3 Fe3+ 0 2
Na2SiO3 ... . 0.02 I-I+ 5 6 H+ -
8. Stainless steel clad- OH- - OH- 0 1
ding solution: NO 5.8 NO 5.7
SOI- 0 75 ? SIM- 0 56
Na + 53 Si 02 Si 015
Fe, Cr, Al . . 0.72
SO4- 3.4
OH- 05
The solution was mixed with crushed and remelted basalt from the deposits in Ogarzhitsa (grain size >
0.1 mm). After adding a known amount of Cs137 together with a carrier, the samples were homogenized,
dried (110-220?C) and melted in a Superkantal SM-10 electric furnace at 1250?C. After they were com-
pletely melted, the samples were left in the furnace for 24 h with the current turned off. It follows from
a comparison of the data on leaching Ce137 out with water for a considerable period of time with the re-
sults of the experiments that had already been made without any ballasting materials that there was no
single case in which the rate at which the cesium leached out of the solid phase into the liquid increased
appreciably. This goes to show at the same time that the basic properties of the basaltic material did
not get any worse. X-ray structural analysis also showed that the ballasting materials did not, in prin-
ciple, exert any effect on the crystal structure of the basalt.
Volatilization of Radioactive Isotopes
In even the first experiments on fusing Cs137 into basalt, it was observed that the cesium volatilized
appreciably, and in some cases it attained more than 30% of the amount originally present. Accordingly,
in the rest of the experiments, a study was made of how much various cesium compounds, volatilized from
different types of surfaces. The maximum amount of volatilization was found at 600?C, after which the
amount of cesium carried off became less. When the cesium was put into a melt, further volatilization
stopped, as was also the case when the sample was covered with a layer of inactive crushed basalt.
So far, only preliminary experiments have been made with radioactive ruthenium in solutions con-
taining a carrier. The amount of ruthenium that volatilized when the crushed basalt was melted varied
over a wide range, depending on the conditions under which the melting took place.
* The olivine basalt from Slapana is used to produce commercial articles. A large amount of waste is
produced, consisting of basalt that has been remelted once.
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Slapana
0
0 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0 0
0 0
N
,
0
N.
0
0
0
N
Fig. 1. Thermogram of basalt (the
vertical axis gives the magnitude of
the exothermic or endothermic ef-
fect in relative units).
? Radiation Resistance
It is well known that if glass and ionic crystals are ir-
radiated, they become colored, and the Schottky and Frenkel
effects show up. If the doses absorbed are large, there may
also be a change in the structure of crystalline materials, while
in amorphous materials crystallization nuclei may be formed
and recrystallization occurs. Macroscopic devitrification of
some types of glasses occurs [15].
In order to find what effect irradiation has on the structure
of the basalt, the vitreous and recrystallized samples were
placed for 300-1500 h in afield with an exposure dose power of
2.105 R/h at elevated temperatures. The vitreous samples
showed no appreciable changes in physical properties in the
range 450-650?C (see Fig. 1). At temperatures of about 700?C,
where the vitreous phase starts to recrystallize, a reversible
change in the properties of the samples occurs, and they fall
apart into irregularly shaped pieces. However, if the sample
was recrystallized from the melt by gradual cooling, and was
subjected to irradiation at elevated temperatures after recry-
stallization, it still had the same volume and the same mechani-
cal strength. X-ray measurements showed that irradiation has
no effect on the structure of the recrystallized basalt.
At
to find
the same time, experiments are being made
what effect absorbing large doses has on the diffusion of radio-
active isotopes in basalt. It follows from the data obtained up
to the present time that at temperatures of 450-850? C, irradia-
tion has little effect on the ionic diffusion of vitreous and cry-
stalline basalt.
Discussion
The results obtained show that fused basalt is a good ma-
terial for immobilizing highly active wastes. The high resistance to hydrolysis that it exhibits is not
changed even when relatively large amounts of ballasting materials are added to the initial material.
This completely supports Scharlest theory as to what effect water has on the structure of silicates [16].
Of the two reactions:
I I
?Si?OM -17HOH---- Si ? OH-l- M-'? ? OW;
I I
?Si-- 0?Si? -1-110H--2? Si ? OH,
which might occur during the process, the first reaction is the predominant one, since it is the general
scheme for exchange of an alkali ion with hydrogen at a glass-water boundary. Since the alkali ions are
only weakly bound to the surface, this reaction is taking place even at the very start of the leaching pro-
cess. A large amount of leaching out at the start of the process is favored by the fact that the surface is
more densely covered with alkali than the inner layers of the solid phase, since, even during melting, the
alkali ions penetrate into the surface, in an effort to reduce the surface tension of the melt, The second
reaction goes very slowly, as is shown by the fact that silicon is only slightly soluble in water [7]. It is
thus probable that of the ballasting cations mentioned, it is only sodium that makes any contribution to the
leaching. The rest of the cations, particularly those having a higher charge, take part, in the majority
of cases, in building up the silicate lattice, and are thus much more tightly bound. The leaching process,
which can only occur at the boundary between the solid and the water phase, will, accordingly, after the
first rapid reaction, be regulated by the rate of motion of the moveable ions in the direction of the phase
boundary, i.e., by the diffusion in the solid phase.
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The amount of leaching cannot increase unless there is a large increase in the surface in contact
with the water. This occurs in some glasses when they are subjected to irradiation. As a result of
devitrification, the material falls apartinto microscopic particles, which are easily cooled off, and, since
the surface has been increased many times, they may undergo corrosion from the moisture in the atmos-
phere. The volume does not change in the case of recrystallized basalt. Since a compact block will heat
itself up spontaneously, no moisture can get at it until a substantial part of the radioactive material inside
has decomposed.
Another bad feature of glasses is that they soften over a broad temperature range, and have a low
melting point, As a result, the block may get out of shape at high temperatures, while recrystallized ba-
salt does not show any changes even up to temperatures of the order of 1000?C.
The volatilization of some of the radioactive isotopes from the fission product mixture that occurs
during melting does not seem to be anything insurmountable, nor would it complicate the process very
much. If the melting is interrupted, it is only necessary to cover the melt with some inactive crushed ma-
terial. If the process is continuous, there is no way in which direct volatilization into the surrounding
space can occur, since the components that are apt to volatilize out of the heated material will be mainly
concentrated in the colder layers on top of the zone that is being heated.
Fused basalt meets all the requirements placed on the materials which are to be used for safe and
economically feasible immobilization of high specific activity wastes.
LITERATURE CITED
1. M. Goldman et al. Paper No. 388, presented by the USA at the Second International Conference on
the Peaceful Uses of Atomic Energy [Russian translation] (Geneva, 1958).
2. R. Bonniaud, In the book: Treatment and Storage of High Level Radioactive Wastes, IAEA, Vienna,
p. 355 (1963).
3. N. I. 13ogdanov et al., Paper No. 587, presented by the USSR at the Third International Conference
on the Peaceful Uses of Atomic Energy [in Russian] (Geneva 1964).
4. K. Johnson et al. Paper No. 188, presented by Great Britain at the Third International Conference
on the Peaceful Uses of Atomic Energy [Russian translation (Geneva 1964).
5. Watson et al., In the book: "Transaction of the Second International Conference on the Peaceful
Uses of Atomic Energy." Selected papers by foreign scientists, Vol. 9 [Russian translation],
Moscow, Atomizdat, p.187 (1959).
6. J. Said, Jaderna energie, 7, 181 (1961); 8, 341 (1962).
7. A. Pelikan, Tavene horniny, Prague, "Prace." (1955).
8. L. Kopeck 3i and J. Voldan, Krystalisace tavemich hornin. -SAV, Prague (1959).
9. Z. Skranek. Fixace radioaktivnich odpadfl do skel. Report St. v3izkum. Ustavu sklak. Hradec
Kralove (1963).
10. J. Ralkova and J. Saidl. In the book: "Treatment and Storage of High Level Radioactive Wastes."
IAEA, Vienna, p. 314 (1963).
11. J. Said. Kandidat. dissertace. V?CHT, Prague (1965).
12. J. Saidl and J. Ralkova. Technical Digest, 7, 483 (1963).
13. J. Ralkova. Kandidat. dissertace. UJVOSAV, Prague (1963).
14. J. Ralkova. Glass Technology, 6 40(1965).
15. J. Kircher and R. Bowmann, Effect of Radiation on Materials and Compounds. Reinhold Publ. ,
N.Y. (1964).
16. J. Burke. Progress in Ceramic Science. Vol. 1. Pergamon Press. p.1 (1961).
17. J. Van Lier. Thesis Univ. Utrecht (1959).
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ABSTRACTS
INCREASING THE NUMBER OF IONS CAPTURED
IN A MAGNETIC TRAP BY. PHOTOIONIZATION
OF NEUTRAL ATOMS
K.B. Kartashev and E.A. Filimonova UDC 533.9
This paper discusses the possibility of using the photo-effect to increase the number of ions cap-
tured when fast hydrogen atoms are injected into a magnetic trap. The relation is found between the
efficiency of the process and the power of two different types of radiators.
It is shown that if a hydrogen atom in a state with principal quantum number n is in a radiation
field that follows the Rayleigh-Jeans law, the photoionization probability ri is related to the radiation
temperature T by the expression
nh
T ? 8nkan (km.?
where h is Planck's constant, k is the Boltzmann constant, Al is the lower limit of the radiation spec-
trum, Amax is the smaller of the two wavelengths representing either the upper limit of the spectrum or
the photoionization threshold of the state in question. In deriving this equation, the photoionization cross
section as a function of the wavelength of the radiation was taken to be of the form an (A) = an A3, where
an is a coefficient depending on n [1,2]. For n=10, the value =107 sect occurs at T=19.3 eV, which
corresponds to a radiation poWer p= 1.44010 W/cm2.
In the case of monochromatic radiation in a definite direction (e.g., laser radiation), the relation
between the radiation power and the photoionization probability is expressed in the form p=nlicS/0-nA.
where S is the cross-sectional area of the light beam.
N't 4
?y10
20
12
44
12
20
28 KT, eV
Fig, Proton capture efficiency
when fast hydrogen atoms are in-
jected into a magnetic trap as a
function of the temperature of a
black body radiator (t = 10-7 sec,
rn is the mean statistical value).
The dotted line is the limiting
case where kT
N* n-6 n-7 n-8 n-9 n-f n-ff
101
t0-4
,
P1106
le
1
2
--
' ./.'
.e'
,
e
Pio
5w
10 12 ,L14
Fig. 2. Proton capture ef-
ficiency when fast hydrogen
atoms are injected into a
magnetic trap as a function
of the monochromatic radia-
tion wavelength (Tn is the
mean statistical value):
1,2,4-0=1.25.10-6sec;
3-0=5.1O sec.
10-1
104
1,0-3 8 10 12 11 16 1;t06APeles
Fig. 3. Photoionization effici-
ency W of unexcited lithium
atoms as a function of the tem-
perature of a black body radi-
ator (spectral range used 2 000
A.--s 2 300 A; t = 3.8.10-7sec).
Translated from Atomnaya Energiya, Vol.21, No.4, pp.2 90-291, October, 1966. Original
article submitted March 12, 1966.
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Assuming that the occupancy of the excited levels of the hydrogen atoms produced by charge ex-
change obeys the law an-3, we shall define the capture efficiency as:
?No = ?n3 e-0/x n (1?ent ),
where Tn is the lifetime of the excited atom with respect to spontaneous radiation, 0 is the time of flight
of the excited atom from the point where the charge exchange occurs to the trap, and t is the time of flight
of the irradiation zone. Figure 1 shows the results of calculating the capture efficiency for black body
radiation with a=1, 0=1.25-10-6sec, velocity of the atoms v=4.108 cm/sec, and an irradiation zone of
length 1=40 cm. Photoionization from the ground state was not considered.
Figure 2 is for a monochromatic radiator with a light beam of width b=4 cm and a wavelength of
for the same values of a, 0, and v as in Fig. 1.
Clearly, for these values of 0 and t, the efficiency increases by a maximum factor of 20-25 over
the usual case of Lorentz ionization (N4-/N8 '-=',10-4). However, to produce even a 5- 10 fold effect re-
quires a black body radiator at a temperature of T=10 eV and a total power of P=1011-1012 or a laser
with a power of 105-108, and the radiator has to act for a time of the order of 1 sec. Radiators of this
type are not presently available.*
Figure 3 shows the photoionization probability of lithium atoms as a function of the temperature of
a black body radiator. The low ionization potential of lithium (5.39 eV) makes it possible to have ioniza-
tion directly from the ground state at comparatively low temperatures.
LITERATURE CITED
1. Atomic and Molecular processes, Collected papers. [In Russian], Edited by D. Beits. Moscow,
"Mir" (1964).
2. D. P. Grechukhin, E. I. Karpushkina, and Yu. L. Sokolov, Atornnaya Energiya, 20, 407 (1966).
OPTIMUM COMPOSITION OF HOMOGENEOUS SHIELDS
S.M. Rubanov and L.S. Shkorbatova UDC 621. 039. 538.7
This article is devoted to the investigation of the dependence of the thickness and weight of a two-
component shield for a nuclear power reactor on the composition of the shielding material.
The calculations are performed by a numerical method which permits taking into account all the
components of the total dose outside the shield, including the effect of slow neutron build-up and the
production of capture gamma rays.
The contributions made by intermediate neutrons and by capture gamma sources are computed by
a seven group age-diffusion calculation [1] of the space and energy dependence of the neutron distribution
in the reactor and shield. The method presumes that the spatial distribution of neutrons with energies
above 1.5 MeV is known experimentally. The spatial distribution of the total dose is obtained for shields of
various compositions.
* These figures are for photoionization of atoms with n >1. The possibility of nonlinear effects occurring
during ionization in the electric field of the coherent light beam from a laser has not been discussed.
Translated from Atomnaya Energiya, Vol. 21, No. 4, P. 291, October, 1966. Original article
submitted April 14, 1966.
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Weight-Size Characteristics and Op-
timum Composition of Homogeneous
Shields
Composition
%'
.c
,
.a ,,z
.,
.c
V
-
'7
c,
,-,
x
.',?
LD I?
Fe-H20
68
1.26
20
6.06
Pb-H20
38
1.69
13
4.65
U-H20
38
1.24
8
4.37
Fe-polyethylene . . . .
72
1.20
25
5.46
Ph-polyethylene . . . .
38
1.53
14
4.50
U- polyethylene . . . .
38
1.15
10
4.25
Fe-C
25
2.28
20
6.54
Fe-B4C
64
1.49
25
6.29
Pb-B4C
40
1.70
16
6.19
U - LiH. . .. .
35
1.15
11
4.21
LiH (y=780 kg/m3 . .
-
8.0
-
6.25
CaH2 (y=1700 kg/m3
-
4.0
-
6.80
MgH2 (y=1400 kg/m3
-
4.5
-
6.30
ZrH2 (y=5900 kg/ma
-
1.06
-
6.26
Serpentine concrete
(y=2200 kg/ma . .
-
3.3
-
7.26
UH3 (y=10 900 kg/m3
-
0.92
-
10.00
TiH2 (y=3900 kg/m3
-
1.48
-
5.77
In the table are listed minimum values of the
thickness xmin and the weight Om = yxD (where y
is the density of the shielding material) of a slab shield
necessary to reduce the dose rate to the maximum
permissible level of 0.6 p rem/sec, and, in the case
of homogeneous two-component shields, the volume
fraction of the heavy component insuring minimum
thickness w11 and and minimum weight come. The radia-
tion source is a hypothetical water-cooled water-
moderated 50 MW (thermal) reactor.
On the basis of the calculations performed and
by comparison with other data [2,3], it may be stated
that for certain optimum weight-size ,characteristics
it is not permissible to neglect the build-up factors
for low-energy neutrons and capture gamma radiation
from the shield. Discrepancies are observed in the
majority of the shielding compositions considered.
LITERATURE CITED
1. D. L. Broder, K.K. Popkov, and S. M. Rubanov,
Biological Shields for Naval Reactors, Leningrad,
Shipbuilding [in Russian] (1964).
2. G. Thuro, Atomkernenergie, Vol.7/8, 263(1964).
3. G.A. Lisochkin and F.A. Predovskii, Atomnaya
Energiya, 18, 408 (1965).
EFFICACY OF BORON IN METAL-WATER SHIELDS
M.A. Kartovitskaya, S.M. Rubanov, UDC 621. 039. 58
and L.S. Shkorbatova
The dependence of weight and size of iron-water and lead-water shields on the boron content and
the place where it is introduced into the shield is investigated.
Boration leads to a redistribution of the components of the total dose. This is illustrated in Fig.1
which shows the dependence of the total dose and its components outside the shield on the weight per
cent of boron, at.. Boration gives the largest effect in iron-water shields and in lead-water shields
having a high concentration of lead.
Boration of lead-water shields is effective only up to ce B = 0.5 wt% of boron; for wpb equal to
0.2 to 0.3, where co is the volume fraction of the heavy component in a homogeneous metal-water shield,
the decrease in shield thickness amounts to 1%, and for wpb = 0.7 the decrease is 3%. The saving in
shield weight in the case of an axially symmetric arrangement amounts to 1.5 to 2% for wpb = 0.2 to 0.3%.
Translated from Atomnaya Energiya, Vol.21, No.4, p.292, October 1966. Original article
submitted May 12, 1966.
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Boration is more effective in iron-water shields since the yield of capture gamma radiation from
iron is greater than that from lead. For shields with coFe = 0.5 the relative decrease in weight is from
5 to 8% and with co Fe = 0.9 it is 9%. For a lower iron concentration (co Fe = 0.2) the introduction of
5 wt% boron into the shield leads to a decrease in shield weight of 6%.
The effectiveness of boron as a function of the place it is introduced is determined by a perturba-
tion calculation [1]. The results for the effectiveness of boron in homogeneous shields lead to the con-
clusion that for a small concentration of the heavy element, the greatest effect is obtained by borating
the inner layers of the shield;for Fe
= 0.7 the boron should be introduced into the outer layer of
c'')
the shield.
The boration of lead in heterogeneous lead-Water shields with copb --15 to 20% does not lead to an
appreciable saving in Shield weight or thickness. Boration of iron in a heterogeneous iron-water shield
With co Fe =20% leads to a 5% decrease in shield weight. The boration of water leads to a similar result.
Covering iron or lead slabs in a heterogeneous metal-water shield With layers of boron carbide
leads to the same result as berating the metal. Cladding a, reactor vessel with boron carbide leads to a
decrease of 9% in the weight of an iron-water shield with co Fe = 0.2 and to a 5.5% weight reduction in a
lead-water shield with co Pb = 05.
LITERATURE CITED
1. A.A. Abag-yan, V.V. Oglov, and G.I. Rodionov, The Physics of Reactor Shielding, Moscow
Gosatomizdat [in Russian] p.7 (19(3).
STEADY STATE DIFFUSION OP THERMAL NEUTRONS
IN MEDIA WITH RANDOM INHOMOGENITIES
A. V.Stepanov UDC 539. 125. 52
In studying the propagation of neutrons in inhomogeneous media with parameters which vary rap-
idly in space, the average neutron density is. of practical interest. The averaging performed over an
ensemble of diffusing media leads to the mathematical expectation. Examples of inhomogeneous media
are a boiling liquid, rocks, etc. An important special case of an inhomogeneous medium to which the
statistical description of neutron propagation IS applicable is a periodic reactor lattice. In this case
the representatives of the statistical ensemble of inho/nogeneous media differ from one another in being
displaced in space by a "phase shift." In solving such a problem the first step is to replace the real
Medium with its fluctuating parameters by a moderator with average properties. This correctly takes
into account the first moment of the distribution law of the rapidly varying functions Es (r) and
the macroscopic neutron scattering and absorption cross sections respectively; the zero moment is
determined by the normalization. The next step is to calculate the second moments of the distribution
law of Es and Ea; to do this there are introduced the correlation functions (5(r) Es (rt)) and (Ea(r)Ea(e)).
This approximation turns out to be satisfactory for small scale fluctuations; a characteristic dimension
of an inhomogeneity, 1, inust.be small in comparison with L, the neutron diffusion length in the homo-
geneous medium. The general form of the equations describing, on the average the propagation of
neutrena through media with small scale inhomogeneitiog Was found in previous articles by the author [1].
Translated from Atomnaya Energiya, Vol. 21, No. 4, p; 292, October, 1966. Original article sub-
mitted May 12, 1966; abstract June 13, 1966.
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Staying within the framework of the approximations that have been indicated, the present article
considers the diffusion of thermal neutrons from a steady source in a medium in which the neutron
absorption varies from point to point in a random fashion; the diffusion coefficient Do is assumed con-
stant. A medium which is isotropic on the average, and one which is highly anisotropic are considered.
An expression is obtained for the relaxation constant of the neutron density in a medium in which the
inhomogeneities are in the nature of localized impurities.
LITERATURE CITED
1. A.V. Stepanov, Pulsed Neutron Research, Vol.1, Vienna, IAEA, 1965, p.339; Atomnaya
Energiya, 20, 265 (1966).
SHIELDING PROPERTIES OF FIREPROOF CHROMITE
AND MAGNESITE CONCRETES
D.L. Broder, V.B. Dubrovskii,
P.A. Lavdanskii, V.P. Pospelov,
and V.N. Solov'ev
UDC 621. 039. 538. 7
An experimental study has been made of the shielding properties of fireproof chromite and mag-
nesite concretes, which can be used as thermal shielding in reactors [1, 2]. Fireproof concretes
become dehydrated at high temperatures, which changes their shielding properties. In order to make
the experimental conditions as close as possible to the conditions under which fireproof concretes oper-
ate in actual shield designs, slabs of the materials were given a heat treatment.
The shielding properties of the fireproof concretes were investigated in the 100 mm diameter
horizontal hole of the VVR- Ts Reactor at the Lyakarpov Physico-chemical Institute. The neutrons were
detected with red phosphorus, indium, and an SNM-3 boron counter. The gamma-dose power was mea-
sured with an SBM-10 gamma-dosimeter. To make a comparison under similar conditions, the shielding
Relaxation Lengths in Concrete (numerator) and Thicknesses at which they were Deter-
mined (denominator), in cm
Type of concrete
Detector
Indium with-1 Indium in
out cadmium cadmium
BF3
P31
Extraction
Length for
the fission
spectrum
Relaxation length of the y-
dose at a reactor power of:
1 kW
Ordinary
concrete ?.
Chromite . . . ? . .
Magnesite. . .
10.4
20-120
13.5
50-120
10.2
20-120
13.5
50-120
12.0
50--100
14.5
50-100
19.5
50-100
12.5
20-80
10.4
40-80
11.0
20-80
12.7
11.15
11.15
9.7
20-80
8-0
20-80
8.8
20-80
13.75
60-120
12.45
60.-120
Translated from Atomnaya Energiya, Vol. 21, No. 4, p.293, October, 1966. Original article sub-
mitted February 1, 1966.
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properties of ordinary concrete were determined, but the slabs were not given any heat treatment. The
experimental values of the relaxation length and the calculated extraction lengths for the fission spectrum
are given in the table.
The conclusion is drawn from the data obtained that even in the dehydrated state, fireproof chro-
mite and magnesite concretes make good shielding materials, and are to be recommended for use in
building shields to operate under high temperature conditions (up to 800-1700?C).
LITERATURE CITED
1. V. B. Dubrovskii et al., Atomnaya Energiya, 19, 524 (1965).
2. A. N. Vorob'ev et al., Betonzhelezobeton, No, 11 (1966).
APPROXIMATE DESCRIPTION OF REACTOR
KINETICS FOR STABILITY STUDIES
F.M. Mitenkov and V.S. Boyarinov UDC 621. 039. 512
In investigating the stability of systems containing a nuclear reactor, a considerable amount of
simplification is achieved by replacing the six groups of delayed neutrons in the kinetic equations by
one or two equivalent groups.
It is well known that in investigating transient processes it is possible,to choose the parameters
AQ' /39 of the two equivalent delayed neutron groups in such a way that the change in neutron density is
J J
quite accurately described over the time interval in question.
For this purpose, use may be made of the relations:
6 2 6 2 on
i=??;P
i=1 j=1 i=1 3=1
6 2
NI. Pi ? PI
?1
1=1 3=1
2,
obtained from the condition for the minimum value of the integral:
00 6 2
[1 pi (1 131 (1?e 3 )1 dl.
o i=i i=1
However, in system-stability studies, the effective delayed neutron parameters found from
Eqs. (1) may result in errors that are too large to tolerate.
It is shown in this paper that if the m parameters of the equivalent delayed neutron groups are
determined from the condition for minimum deviation of the corresponding points in the amplitude-phase
characteristics, the limits of the ranges of stability calculated using even a single equivalent group are
very nearly the same as those calculated using six delayed neutron groups.
(1)
(2)
Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 293-294, October, 1966. Original
article submitted January 29, 1966.
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The equations for finding the equivalent group parameters, found from the conditions for the mini-
mum value of the integral:
are of the form
oo 6
= [ Po,2i+ 1 E 112,0+1
o 3
6
m 13rico
PiTico 2
( .712(02 + 1 ? 716)2 + 1 ) da)
5= 1=1
6 in
(r )2 ?
11 ? (19 Q +11)2 9
:7-1
k?i, 2, ni,
(3)
where Ti is the mean lifetime of the neutron sources for the i- th group:, and Pi is the delayed neutron
fraction in the i- th group.
The paper gives a comparison of the range's ci stability as found for different numbers of equiva-
lent delayed neutron groups, using different parameters for the groups. The caldulations Were made
for the Simplest Models of a reactor with automatic control, and of a self-adjusting reactor:
CALORIMETRIC DOSIMETER FOR A NUCLEAR REAdTOR
Koiyada and V.S. KaraseV
UDC 614.8539.12.68:621.03.9;5
The importance of doSiinetric measurement's in making radiation Material, radiation chemical,
biological, and other studies is a Matter of general knowledge: However, the use of ionization, chemical,
scintillation, and the other common methods for dosimetry of high radiation fluxes in highly Podded read-
tors has serious fundamental limitations.
In recent years (particularly in foreign countries); wide use has been made of calorimetric dbsi-
metry methods which have the advantages of high accuracy, and reliability, and there is practically
upper limit to the range of measurement.
The review gives a brief description of the methods and apparatus used in calorimetric dosimetry,
divided, according to the Method of determining the amount of energy absorbed, into three groups,
? adiabatic, kinetic, and isothermal. An attempt is made to compare the calorimetric methods and am
paratus in question, give their advantages and disadvantages, and determine their range of applicability.
The material presented in the paper will be of aid to scientific and engineering workers engaged
in reactor studies, as well as in evaluating the capabilities of calorimetric equipment from the stand-
point of use or further improvement.
Translated from Atomnaya Energiya, Vol. 21, No. 4,p. 294 October, 1966. Original article sub-
mitted April 15, 1966.
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LETTERS TO THE EDITOR
MICROWAVE RADIATION FROM A QUASISTEADY STATE PLASMA
N. A. Gorokhov and G. G. Dolgov-Saveltev UDC 533.9
There are a large number of papers [1-3] dealing with epithermal microwave plasma radiation.
However, since there is no suitable apparatus in existence, no careful spectral studies of the signal
observed lave yet been made, although measurements of this sort are required to find out what the true
mechanism is that is exciting the intense electromagnetic oscillations in the plasma medium.
This paper uses a specially constructed piece of apparatus [4] to make a study of the microwave
radiation of the high-temperature plasma from equipment of "Tokamak" type [5]. As a result, it was
found that a plasma of this type serves as a source of intense electromagnetic radiation lying in the
millimeter wavelength range.
A characteristic feature of the radiation is that it is pronouncedly sporadic in nature, and consists
of isolated bursts of an intensity corresponding to a surface brightness of the thread of the order of
10-3 W/steradian? cm2. This is more than five orders of magnitude higher than the Bremsstrahlung of
a plasma having parameters typical of "Tokamak" equipment (temperature 40 eV, density 1013 cm-3,
string diameter 30 cm).
The spectrum of the radiation generated (Fig. 1. ) was taken with a Fabry-Perot interferometer.
It was found that the intensity maximum in the radiation lies in the vicinity of the electronic plasma
frequency, and, on the high-frequency side, the spectrum has a comparatively well defined boundary
in the upper hybrid frequency region.
A study of how the microwave signal behaves as a function of the discharge parameters showed
that radiation does not exist except in those stages of the discharge where the plasma formation is
macroscopically stable.
20
15
30 35 40 45 f,GHz
Fig. 1. Spectrum of the
radiation.
The fact that electromagnetic radiation of an anomalous intensity
exists in "Tokamak" equipment is somewhat unexpected, since, in this
case, the electric field in the plasma is obviously less than the critical
value required to produce run-away electrons, so that one would not expect
intense plasma oscillations to be built up by a fast electron beam. However,
a study of the hard x rays with a quantum energy of more than 100 keV
produced when the walls of the chamber are bombarded with fast particles
has shown that a correlation exists between the instants at which both the
microwave radiation and the x rays start and stop.
LITERATURE CITED
1. V.A. Suprunenko, et al., Atomnaya Energiya, 14, 349 (1963).
2. LYti. Adamov et al., Atomnaya Energiya, 16, 99 (1964).
3. R. Waniek et al., Appl. Phys. Lett., 5, 89 (1964).
4. N. A. Gorokhov and G. G. Dolgov-Saveltev, Pribory i tekhnika
Eksperimenta, No. 1, 126 (1966).
5. V. S. Vasiltevskii et al., ZhTF, 30, 1135 (1960).
Translated from Atomnaya Energiya, Vol. 21, No. 4, p. 295, October, 1966. Original article
submitted April 12, 1966.
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TOLERANCES IN LINEAR ION ACCELERATORS WITH QUADRUPOLE
FOCUSING OF THE ACCELERATING FIELD
A. P. Malttsev UDC 621. 384. 62
Quadrupole focusing of the accelerating field (QFAF) [1-3] is one of the varieties of alternating
focusing, and, as is the case with any kind of alternating focusing, requires that special attention be
given to the accuracy with which the drift tubes are built and suspended. There are a number of
special features connected with the problem of tolerances in an accelerator with QFAF.
The high-frequency QFAF lenses are formed between the ends or horns of two neighboring drift
tubes. If there are inaccuracies in the way the tubes are arranged or built, the lenses become
distorted. For this reason, QFAF differs from focusing with external quadrupole fields, where the
tube suspensions have no effect on the lenses.
The most interesting type of QFAF is focusing in a system where there are two gaps in the
accelerating period [4]. In this case, the error in any particular lens has less effect on the motion of
the particles than with a single gap, but on the other hand there are more lenses.
We shall give more detailed consideration to the problems in question. We shall show that if
the displacements of the tubes are small, the deformations in the accelerating and focusing field may
be traced back to corresponding displacements of the high-frequency lenses. We shall consider drift
tubes with horns [4].
We shall now write the solution of Laplace's equation for an infinitely long lens:
00
11)(r, 0)- E rn (an cos nO-Fbn sin ne), (1)
where 4.(r,t9) is the electric field pOtential in polar coordinates.
In the plane 0= (0:71- ) let the horn be shifted from the axis by the amount s as a result of
displacement of one of the tubes. From the boundary conditions
3rt
(:D 0)=0 (R?s, n)= ?c11(R, ?)-= (R, ?2 )
\ 2
and from (1) it follows that:
ao=b0--=0; a1=2a2s; ?2 =;
a
(rt 0-0=2a2(r+s)' )
(2)
where U is the voltage at the gap, and R is the radius of the aperture. This means that small
displacements of the horns on one of the tubes may be represented as a displacement of the lens as a
whole.
We shall assume that the plane of the horns on one of the tubes has been rotated about the axis
of the accelerator by the small angle 2. From (1), and the boundary conditions:
(D (R, 2X) =--eD (R, g-E-2X)-= ?(rD (R, ?4:13 (R, 31) =-U
it follows that:
a1==b1z---0; ; 2=.2a2X.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 295-297, October, 1966. Original
article submitted January 21, 1966.
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In the deformed field, the particle at the point (r, 0) is acted upon by a force with the
components:
a
Fy= ?e yr- (r , 0)
a
0)
= ?2era2;
0=0
0=0
= ?2erb2-=2FyX.
(3)
Exactly the same components show up in an ordinary quadrupole, if it is rotated as a whole through
the small angle x, i.e? , rotation of one pair of horns around the axis by the angle 2x may be represented
as rotation of the whole lens by the angle X.
Any slope of the axis of one of the tubes with respect to the axis of the accelerator may be
expressed in terms of the slope of the axis of the lens. This follows directly from Eq. (2), since, if
the tubes are only slightly misaligned, the geometric locus of the equilibrium points of the transverse
forces will be a straight line having the same slope.
Longitudinal displacements of the tubes produce very little change in the shape of the field.
Longitudinal errors include errors in phase, as well as in the lengths of the horns and of the gaps.
Thus, deformations of the accelerating field may be represented in terms of displacements of
the high frequency lenses, and the usual methods may be used in calculating the tolerances. We shall
estimate the effect of random errors on the output characteristics of the beam from the mean square
growth in amplitude of the oscillations:
1 k
(A1312 out= -2- [ (Axn)2 -I- n2 (AX7.)2 ?
min min
(4)
Here, k is the number of focusing periods,Umin is the minimum frequency of the transverse
oscillations, and Axn and ,AXn are the deviations of the coordinates and the angle of the particle from
the center of the focusing region.
We shall now consider FD and FFDD structures. In the first case the focusing and defocusing
gaps simply follow one another, while in the latter case, two focusing periods in the acceleration
alternate by two defocusing periods.
The two gaps in the accelerating period may be reduced to a single equivalent gap. The error
at the equivalent gap is equal to the sum of the errors at the actual gaps,since the time of flight between
the gaps is small:
4.r0,-=4x1+ Ax2; A;oe= 6,;2,
where the subscripts oe, 1, and 2 correspond to the equivalent gap and the first and second gaps in the
double gap.
By the use of KFUP transformation matrices, the errors in the equivalent gaps in the focusing
period may be converted to the center of the focusing region, which, in the case of an FD structure is
at the center of the focusing gap, while in the case of an FFDD structure it is halfway between the
focusing gaps. Then, we add up the errors in the individual gaps and average over all the phases and
independent sources of error. As a result, we obtain:
013)2out 2S22[Q* O -E
WQ(1)(4)2+ Qxx7+ + QM, (5)
min
where (50 is the error in length of the horn, 15 is the error in phase, x is the angle by which the tube is
rotated around the longitudinal axis, s is the displacement of the tube with respect to the axis of the
accelerator, and t is the displacement of the ends of the tubes with respect to the axis, produced by
the slope of the tube.
The coefficients Qi may be expressed in terms of the focusing parameters in the following way.
(We shall take the best type of focusing: in the double gap, the first gap has a horn, but there is no
horn on the second gap. A system resonant on the H-mode is being used. )
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For the FD system:
Qv_ T
(2B) 2 2 [ (tg11) tty aTscri"nc2ovs cp )2i
Here
rtg 11) arc" cos q)21
2 !Ix
sin-I)
CI`P =1; [C412i? M)21+
1
Qs +go+ (at sin cp)11 (1 +g)1;
Q. =L?
B2
4 va
(a" cos cp)i (1+g);
T2
Rix at sin cp atcr" cos cp;
ly)
(6)
g [1+ (aT sir. cp?aTa)05 (6a)
ci' sin cp + a" rasp;
nNvti
2V '
T is the period of the accelerator, N is the drift multiplicity (the ratio between T and the period of the
HF oscillations), v is the efficiency (flight-time factor), and eV is the kinetic energy of the particle.
The expressions for the quadrupolarities cry and o-^ and the efficiency v of the horned gap are of the form:
10 (kiR)
212
sin act
v
3ta/5 (kiR) e?s1P'
(6b)
where To (kiR) and 12 (kiR) are Besselfs functions of an imaginary argument, k1 = 271-MA ,a is the gap
factor (the ratio of the gap length to p ; and 0 is the length of the horn in ki units [4].
In the case of an FFDD, the expressions for Qi are similar to (6), except that each value of Qi
is multiplied by two, and instead of g we have:
h=[1+ (at sin cp?a-ro.)05]2.
Calculations show that in an accelerator where the focusing is accomplished by the accelerating field,
the tolerances under ordinary conditions of acceleration and focusing are of the same order of
magnitude as in an accelerator with magnetic quadrupole focusing. But building tubes with accelerating
field focusing is considerably simpler than building tubes with magnetic quadrupoles, since no coils
have to be mounted in them, the gradients do not have to be adjusted, and the magnetic axis does not
have to be aligned with the optical axis.
LITERATURE CITED
1. V.V. Vladimirskii, Pribory i tekhnika eksperimenta, No.3, 35 (1956).
2. Cr. M. Anisimov and V. A. Teplyakov, 1bid, No, 1, 21 (1963).
3. F. Fer et al., in the Book Transactions of the International Conference on Accelerators (Dubna,
1963), [in Russian], Moscow, Atomizdat, p. 513 (1964).
4. V. A. Teplyakov, Pribory i tekhnika eksperimenta, No.8 (1964).
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SOME LAWS OF THE DISTRIBUTION OF THE
'y-FIELD OF A SOFT EMITTER
O.. 5.? Marenkov UDC 539.122:539.121.72
Bulatov and Hyodo 2] have carried out experiments on the 'albedo of )'-quanta from isotropic
?Co60 and Cs 137 sources situated .at the surface of an infinite .scatterer. The detector was placed some
way from the surface. It was found that the integral intensity of back-scattered y,-rays falls ?off ex-
ponentially with distance from the source.
Applied and engineering physics (e.g.,. in the y- y-method of nuclear geophysics) make extensive
use of low-energy y-sources with c< m0c2. The present author has made a theoretical study of the
relation between the integral intensity (number of quanta) of backtscattered radiation And the source-
detector distance. The Monte-Carlo method was used, And the y-.sources were lig203 and Ce141.
It is supposed that the half-space 0 is filled with the scatterer, while the half-space z < 0 is
4 vacuum or is regarded as .an absolute absorber. The isotropic point source is placed at ?the origin
and the .detector at the point (x,.0, 0). We study the integral y-ray intensity vs. x in :the region z
From the generally-Accepted Monte-Carlo method? we select the following features:
1. In a statistical simulation of the processes of '-transfer, ? we consider Compton scattering and
photoelectric absorption; the latter is treated by analytical averaging (the method of conditional proba-
bilities). In limited energy ranges the linear photoelectric attenuation coefficients can be approximated
by the formula
T (X) + +-t2X2 4-T3A3,
where X is the wavelength in .Compton units.
2. The wavelength after the n-th collision, An , is known to be determined from the normalized
Klein-Nishini,Tamin distribution:
k (a,
h
+ 2
where is a random number, ci=iVA' ; and
1(a, 2)=0,5 (1 ?a2)+X (X + 2) (I ?a) + X2 (1 ?a) x a-1 1-(2)2+2X-1) In a.
(1)
(2)
Solving the transcendental equation (2) to get An from the data on An-1 and is a very uneconomical
operation, even with a fast computer. We calculated An by means of an approximate formula due to
Carlzon [3]:
xn=xn...1+ (Xn-i+19.P5)
1+0,5p5
(3)
* These geometrical conditions are realized, for example, in selective y- y-logging: in this case, the
rigidly assembled source-detector system is moved along the surface of the medium under investigation.
Translated from Atomnaya Energiya, Vol.21, No.4, pp. 297-298, October, 1966. Original
article submitted March 12, 1966.
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2
102
5
2
10-3
5
2
10-4
5
2
2
3
Leimdorfer [4] has verified (3) and a modifica-
2 tion of it in the 'y-quantum energy range from 1 to
10-2 10 MeV. We have made a similar check in the range
from 0.03 to 1 MeV. Equation (2) was converted to
5
an explicit equation for ce and was solved by the itera-
tion method. The results of calculations by (2) and
(3) were compared for systematic randon numbers
equal to 0, 1/32, 2/32, ..., 32/32. The maximum
error in determining Xn by the Carlson formula oc-
2
10-3
5
2
10.-4
5
curred in the range20/324-30/32 and was less than
7%.
2 3. Since the problem does not possess symmetry
in the spatial variable, the following modification of the
Monte-Carlo method is very effective. The state of a
photon is recorded after each collision, and the proba-
bility that, owing to the collision, the quantum will
reach the detector without further interaction is cal-
culated analytically (by the method of local fluxes).
The integral flux of y-quanta was determined at the
same time for five values of x (correlated selection).
The above method of calculation was tested by comparing the results of calculations of the inte-
gral albedo (i.e., of the total number of quanta emerging into the half-space z < 0) for the Cs137y-source
with the experimental data in [2]:
3
2
0 5 10 15 20 x,cm 0 5 10 15 20x cm
a
Integral y-radiation intensity (in relative
units) as a function of the source-detector
distance; a) He" y-source; b) Ce141y-source.
1) Water; 2) sand; 3) aluminum; 4) iron.
Scatterer
Theoretical value
Experimental value
Aluminum . .
0.54
0.59?0.02
Iron
0.38
0.42?0.02
Tin
0.23
0.220.02
Satisfactory agreement was found between the theoretical and experimental values.
Calculations were performed for initial source energies of 0.279 MeV (Hg203) and 0.145 MeV (Ce').
The scatterers used were water, quartz sand, aluminum, and iron. The minimum source-detector
distance was 3 cm, the maximum 25 cm. The maximum number of quantum "histories" followed was
of order 16,000, giving a statistical error of less than 2-3% in the integral flux. Analysis of the
theoretical results given in the figure shows that the integral y-radiation intensity is given as a function
of the source-detector distance by the formula
N (x)=Noe?rx.
This simple law can be used in applied methodological investigations with soft emitters.
The author would like to thank 0. M. Kuznetsov for help with programming the "Minsk-2" computer.
LITERATURE CITED
1. B. P. Bulatov, Atomnaya Energiya, 7, 359 (1959).
2. T. Hyodo, Nucl. Sci. and Engng, 12, -178 (1962).
3. E. Cashwell and C. E. Everett, A Practical Manual on the Monte-Carlo Method for Random Walk
Problems, Pergamon Press (1959).
4. M. Leimdorfer, Nukleonik, 6, 14 (1964).
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SOME CHARACTERISTICS OF THE FIELD OF BACK-
SCATTERED y RADIATION IN WORKING PREMISES
N. F. Andryushin, B. P. Bulatov, UDC 539. 122: 539. 121. 72:621.039. 58
and G.M. Fradkin
As a rule, work with radibactive preparations is performed in small rooms. The intensity of radia-
tion at various points in the space is thus determined not only by the primary radiation, but also by the
radiation scattered from the walls of the room. In some cases, scattered radiation may appreciably ef-
fect the results of measurements. However, until recently there was practically no work in -the literature
on the quantitative characteristics of radiation inside a closed cavity.
Some information on the dose fields of scattered y radiation is given in theoretical papers by
Leimdtirfer [1,2] and an experimental paper by Andryushin and 33ulatov [3].
Work with models has shown, in the first place, that the energy build-up factors for reflection (the
ratios of the y -ray energy flux density measured in the presence of the scatterer to the density measured
without the scatterer, B?= -1-1-4) increase with the size of the cavity, and reach limiting values
equal to the build-up factors for reflection from plane barriers with linear dimensions greater than 4-6
times the free path length of the primary quanta in the material of the walls. It was shown that the
spatial distribution of scattered radiation inside the cavity is practically isotropic (to within 20-30%).
In this article the authors verify results from model cavities (with sizes less than 50 x 50 x 50 cm)
by experiments with an actual room designed for work with powerful y emitters (the room was 440 x
320 x 260 cm, with concrete walls 100-cm thick).
The scheme of the experiments is shown in Fig. 1. The y sburces (Co60 with activity of 1.9 n 0.1
mCi, and Cs137 with activity of 14 ? 0.7 mCi) were enclosed in a cylindrical aluminum ampoule 4 x 6 mm
in size, which was suspended at the center of the room. The detector was a gas-discharge counter tube
(type STS-5) with special jackets [4] which ensure practically constant detector sensitivity to 7-radiation
flux densities in the energy range from 0.08 to 2.5 MeV. The detector was placed on a light stand at the
same height as the source and was moved about between the source and the walls of the room.
To determine the intensity of scattered y radiation against the background of the primary radiation,
we filtered the radiation through lead foils [5,6]. For this purpose, lead filters 0.18-4.0 mm thick were
slipped on to the counter casing, and the energy flux density of the 7-rays was measured at fixed points
in the cavity. The scattered radiation is softer than the primary and is easily filtered off. The attenua-
tion increases exponentially with increasing lead thickness; the exponent corresonds to the absorption of
primary radiation. A straight line is plotted in semilogarithmic coordinates, and is extrapolated to
zero filter thickness, and hence the intensities of the primary and scattered radiation are found. As a
by-product of these measurements, we can estimate the spectral composition
of the scattered radiation.
Figures 2-4 are semilogarithmic plots of the measured 7-ray intensi-
ties versus the thicknesses of the lead filters, for various source-detector
distances. The intensity of the scattered radiation was measured to within ?
15%. From the graphs it will be seen that the y radiation consists of
primary and scattered quanta, which can be characterized by their effective
energies. The energy of the primary rays was 0.66 ? 0.09 MeV for the Cs137
source and 1.25 ? 0.12 MeV for the Co60 source, i. e., the primary rays
were attenuated in conditions of "good geometry." The effective energy
/ < Ro--?--/
/
/
Source /
// Detector /
/
//A r/m//////
Fig.1. Scheme for
experiment.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 298-300, October, 1966. Original
article submitted April 11, 1966.
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In(Je.71)
8.1
8.0
79
78
77
760
2 3 4
Filter thickness, mm
Fig. 2. Intensity of y radiation
versus thickness of filter (Cs137
source, R=143 cm).
In (70#.7p)
6.8
6.7
6.6
6.5
0 1 2 3
Filter thickness, mm
Fig. 4. Intensity of y radia-
tion versus filter thickness
(Co6? source, R=218 cm).
found near the walls, were 1.16 ? 0.01
117(.764)
73
72
71
70
6.9
6.80 1 2 3 4
Filter thickness, mm
Fig. 3. Intensity of y radiation
versus filter thickness (Cs137
source, R=215 cm).
Energy Build-up Factors
Scattering
substance
Energy of gamma rays, MeV
0.41 0.66 1.25
Water
Concrete
Aluminum
Iron
Lead
1.26
1.24
1.20
1.18
1.16
1.16
1.12
1.026
1.088
1.07
1.085
1.075
1.012
of the scattered quanta was 0.18 ? 0.02 for the Cs137 source
and 0.20 ? 0.02 MeV for the Co60 source, i. e., the scattered
rays consist mainly of quanta which have been scattered once
through an angle of nearly 180?. These results agree with
those of earlier experiments with narrow beams ofy -rays [5].
As in the experiments on models with small cavities,
the energy flux density of the scattered y-rays was distri-
buted isotropically (to within 20%) through the space in the
room, and the energy build-up factors Bre = 1 + Jp/J0,
for y-rays from Csm and 1.07 ? 0.005 for y-rays from Co60, in
agreement with the results given in [2, 3].
The relative contribution from scattered radiation in the total dose decreases rapidly as we move
away from the walls towards the source, since the intensity of scattered radiation is practically constant,
whereas that of the primary radiation increases inversely as the square of the distance.
According to the results of tl_is present work and of [1,31, inside a closed cavity with effective lin-
ear dimensions 2R0, more that 4 to 6 times the free path of the y quanta in the material of the walls, the
energy flux density can be calculated by a fairly simple formula:
j _Q?3.7.107
aRg p3?i -1] MeV/cm2?sec,
P
I
where Q is the activity of the preparation in millicuries, Ey i is the energy of y quanta from the i-th line,
is the number of such quanta per disintegration, and Ro is the effective distance from the source to the
walls of the room.
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For 7-rays from Co60, Cs137, and Aulm , this formula takes the simple form
J ?.= a ?Q [B" ?1] ? 20%,
RS
where the constant a is equal to 7.4.106 for Co60, 1.9 ? 106 for Cs137, and 1.2 ? 106 for ALP.
Table 1 gives the energy build-up factors for normally incident 7-rays from various substances
[7,8]. The values given refer to "infinitely" thick scatterers.
? If the wall thickness d Of the cavity is less tgan 15 & 20 times the free path X' of the primary
quanta in the material of the walls, the build-up factor can be calculated [8] from the formula
[B, e ? 1] -=-IB r e 1]. (1? e-2") ?
where [Bre -140 is the build-up factor for reflection (minus one) for infinite thickness, and ? is the linear
attenuation coefficient of the primary quanta in the material of the scatterer.
LITERATURE CITED?
1. M. LeimdOrfer, Nucl. Sci. and Engng, 17, 357(1963).
2. M. LeimdZirfer, Ibid, p.352.
3. N. F. Andryushin and B. P. Bulatov, Atornnaya Energiya, 19, 392(1965).
4. B. P. Bulatov, Atomnaya Energiya, 6, 332(1959).
5. B. P. Bulatov and E. A. Garusov, At?omnaya Energiya, 5, 631(1958).
6. B. P. Bulatov, Dissertation, Moscow (1959).
7. M. Berger and J. Doggett, J. Res. of the Nat. Bur. Standards, 56, 2(1956).
8. B/P. Bulatov and 0.1. Leipunskii, Atornnaya Energiya, 7, 551(1959).
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NEUTRON IRRADIATION AND THE DISTRIBUTION OF
CORROSION PR-ODUCTS OF CONSTRUCTIONAL MATERIALS
D. G. Tskhvirashvili, L. E. Vasadze, UDC 621.039.534.4
and A. S. Tsukh
In the planning and operation of nuclear power stations with boiling-water reactors, it is necessary
to know the laws by which corrosion products from the constructional materials, which become dissolved
in the water, pass into the steam. Up to the present, the only laws studied have been those governing the
partition of cobalt oxide [1] or iron oxides [2,3] between water and steam in the absence of irradiation.
However, the results obtained for iron are contradictory.
The present authors have performed experiments to determine the partition coefficients of the
corrosion products of aluminum and carbon steel in experimental apparatus made of 1Kh18N9T stainless
steel under neutron irradiation and under a pressure of 78-176 bar. The apparatus was mounted in the
process tube of an IRT reactor. Each apparatus (Fig. 1) consisted of a container 1 which was connected
to the bubbling unit 8 by means of ascending and descending circulation tubes 10. The apparatus was
mounted in the tube opposite the reactor core with shavings of the test material in the container. The
bubbling unit had a steam jacket 6 and a sampling tube terminating in a filter 3. The water samples
were taken and the make-up water fed in via this tube and T-junction 5. Tube 4 was for taking steam
samples. Tube 7 was connected to a manometer. The apparatus was wound with heater and compen-
sation coils. Experiments, performed before mounting the apparatus in the reactor, showed that ac-
curate results could be obtained.
A known amount of bidistillate was placed in the apparatus, which was installed in the reactor
tube and subjected to the required conditions, without taking samples. Steam and water samples were
then taken. If the activity of the steam sample was greater than the background activity, the experi-
ment was considered to be complete. If not, the apparatus was left in the same conditions. A fairly long
time was therefore required to determine the partition coefficient. (N.b.: the partition coefficient is equal
to the ratio of the steam sample activity to the water sample activity.)
Fig.l.Diagram of apparatus. 1)
Container; 2) thermal insula-
tion; 3) filter; 4) steam sampler;
5) T-junction; 6) steam jacket;
7) tube to manometer; 8) frame;
9) electric heater; 10) circula-
tion tubes.
Fig. 2. Decay curve of activity of
water.
Translated from Atomnaya nergiya,Vol. 21, pp.300-302, 1966. Original article submitted
March 12, 1966.
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510 Key
211850
Key
1100 KeN,
1284 KeV
1
/380KeV
2750
KeV
20 40 60
Channel number
80
100
Fig.3. Energy of y-radiation from water
samples. 1) Aluminum; 2) carbon steel.
cp
10-1
10-2
fo-3
200
150
100
50 P,b.ar
p-0.84
10
Pv/Pp
In the case of aluminum, the water activity was de-
termined mainly by sodium [reaction A127 (n, a) Na24].
This was discovered by measuring the half-life (Fig. 2)
and y-ray energy (Fig.3) of the water samples. Figure 2
shows that, in addition to Na24, the water contained a long-
lived element which may have reached the water from the
material of the test apparatus itself. This conclusion was
supported by experience in operating the BORAX, MRT ,
and EBWR reactors [4]. Consequently, it was impossible
to determine the partition coefficients of the aluminum
oxides by irradiating aluminum. The partition coefficients
of Na24 agreed with those of NaOH in the absence of neu-
tron irradiation (Fig. 4).
In the case of carbon steel (see Fig. 3), the water
activity by Fe
y was determined by Co58 and, to a lesser extent,
n. The partition coefficients found in these experi-
ments were governed more by cobalt than by iron. These
values also agree with the results found for pure solutions
in the absence of irradiation (cf. Fig.4). Thus the parti-
tion coefficients of compounds in the natural corrosion
produ
compcts agree with those of pure solutions of the same
ounds. In boiling-water reactors the main contribution to
the activity of corrosion products is known [5] to be made by co-
balt, iron and chromium. However, the corrosion products of
stainl
only d
ess and carbon steel consist mainly of iron oxides. The
ifference is that the products of low-alloy steel are more
easily
of the
transferred to the water. Thus the partition coefficients
corrosion products of stainless austenitic steels must be
the same as those of the corrosion products of pearlite steels.
To confirm this result, Fig. 4 also gives results by the present
authors on pure solutions of copper oxide and iron oxides in the
absence of neutron irradiation.
100 The experiments on iron were performed in the bub-
bling column, inside which was placed a copper structure
which prevented corrosion products from the frame of
the apparatus itself (stainless steel) from reaching the
steam or water phases. On comparing the results (see
Fig. 4) it will be seen that the partition coefficients of the
corrosion products of the heavy metals are practically
all the same, which is due to the similar physico -chemical
properties of Fe, Co, Ni, Cu, Mn, and Cr. The crucial
characteristics are apparently the molecular and ionic
radii, because they are proportional to the coordination
number [6] or exponent n. With electrolytes (for which
it is mainly ions which cross to the vapor), n depends on
the product of the ionic radii [7]. On the other hand, in
the case of the largely undissociated molecules of the
hydrated oxides of heavy metals, the determining factors
will be the molecular radii. The atomic radii of these
elements, and hence also the molecular radii of their hy-
drates, are all practically the same. The coordination numbers must also be the same. Thus the parti-
tion coefficients of Fe, Co, and Cu hydroxides are characterized by a single relation with n=0.84. Con-
sequently, there is an appreciable amount of corrosion products reaching the steam, in comparison
with other substances present in the reactor's water, at medium as well as super-high pressures (see
Fig. 4). The neutron flux has no effect on these phenomena, and therefore data obtained without irradiation
can be applied to boiling-water reactors.
Fig. 4. Partition coefficient versus
density ratio of solvent phases. 0)
Na24 ( for irradiation of aluminum);
Co58 and partially Fe58 (for ir-
radiation of carbon steel); x) Fe,
data from [2] (pure solution with-
out irradiation); Fe, data by pre-
sent authors (pure solution without
irradiation); p) Cu, data by pre-
sent authors (pure solution without
irradiation); 0) Co, data from [1]
(pure solution without irradiation).
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LITERATURE CITED
1. M. A. Styrikovich and O. I. Martynova, Atomnaya Energiya, 15, 214 (1963).
2. A. M. Gryazev et al., In symposium: Water Preparation and Processes inside Boilers, ed. by
T. Kh. Margulova, No.3, Moscow-Leningrad, Gosenergoizdat, p.33 (1963).
3. I. Kh. KhaibulIin, Energomashinostroenie, No.5 (1964).
4. V. I. Polikarpov et al., Control of Leaks in Fuel Elements, Moscow, Gosatomizdat (1962).
5. E. U. Kramer, Boiling-Water Nuclear Reactors, Moscow, Izd-vo inostr. lit., [Russian trans-
lation] (1960).
6. 0. Ya. Samoilov, Structures of Aqueous Solutions of Electrolytes and Hydration of Ions, Moscow,
Izd-vo AN SSSR (1957).
7. D. G. Tskhvirashvili and V. D. Gotsindze, Trudy Institute E. nergetiki AN Gruz SSR, XVIII, 239 (1963).
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EFFECT OF NEUTRON IRRADIATICN ON THE ELECTRICAL
RESISTANCES OF TITANIUM AND CHROMIUM CARBIDES
M.S. Koval' chenko and V.V. Ogorodnikov
UDC 621.039.553
Much material has been accumulated on the effects of neutron irradiation on metals [1]. Interesting
mechanisms have been discovered for the formation of various defects [2- 4], and for radiation and post-
radiation annealing of metals [5- 9]. However, less attention has been paid to the action of radiation
on compounds.
We give below the results of a study of the action of neutron irradiation on the electrical resistances
of titanium and chromium carbides. These compounds exhibit metallic conductivity, and their conductiv-
ities have linear temperature dependences with positive coefficients [10, 11].
Cylindrical samples of TiC and Cr7C3 (diameter 8mm, length 10- 15 mm) were prepared by hot
pressing for 5 min in graphite molds at 120 kg/cm2, at temperatures of about 0.85 Tm [12].
The residual porosity was 5- 15%. The samples were irradiated at 100?C in the isotope tunnel of
the VVR-M reactor of the Ukrainian Academy of Sciences; the radiation doses were 1018 or 1020 neutrons/
cm2 (for titanium carbide) and 1018 or 1020 neutrons/cm2 (for chromium carbide). The proportion of fast
neutrons was about one order of magnitude lower.
The electrical resistances were measured at room and elevated temperatures by means of a
special apparatus with the usual potentiometric circuit. The influence of porosity was eliminated by the
method of [13]. The irradiated specimens were annealed for 1 h in a tube furnace in argon at 400- 1200?C
(the temperature was varied by 200? steps).
The furnace and resistance meter were placed in a 2KZ shielding chamber, and therefore all the
manipulations and measurements were made by remote control.
We found that neutron irradiation markedly increases the electrical resistance of the carbides.
For Cr7C3, the increase was 35% for 1018 neutrons/cm2 and 60% for 1020 neutrons/cm2. The resistance
of titanium carbide showed smaller alterations ? 19% and 23% for the above doses, and 14% for 1018neu-
tronWcm2. The resistance was measured for five to ten samples at room temperature, before and after
irradiation. For each sample, the change in resistance was measured to within ?3%. The scatter for
the various specimens was ? 15%. The averaged results are given in Table 1 below.
220
200
a. 180
OL
160
140
200 400 600 10 20 30 40
T, H<
a
(80
160
a 140
120
..
.
?
.
? ?
.
200 400 600 8
0 10 20 30 4'
----.-i
-?? 7;*C ----r,min
Fig. 1. Temperature dependence of resistance p of chromium carbide, irradiated
with 1018 neutrons/cm2 and heated to a) 600?C, b) 800?C.
Translated from Atomnaya tnergiya, Vol.21, No. 4, pp. 302- 304, October, 1966. Original article
submitted May 12, 1966.
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200 TABLE 1. Effect of Neutron Irradiation on Electrical
Resistances of Chromium and Titanium Carbides
150
?
-???LJ
0 200 400 600 800 1000 T, ?C
Fig.2. Influence of temperature of iso-
chronous annealing on electrical resis-
tance of irradiated carbides. (A) TiC,
dose 1018 neutrons/cm2;(D) TiC, 1020
neutrons/cm2. (0) Cr7C3, 1018 neu-
trons/cm2;(V)Cr7C3, 1020 neutrons/
cm2.
Resistance
Resistance
before ir-
Integral flux,
after ir-
Increase of
Material
radiation
neutrons/cm
radiation
resistance, ?7o
I.LQ?cm
110 ?cm
Cr7C3
110
1018
148
35
10"
175
60
TiC
52
1016
60
14
10"
64
23
The electrical resistance was measured during
heating at approximately 1000 intervals, and then at
constant temperature at 5min intervals. As seen from
the graphs in Fig.1, annealing at 600 and 800?C causes
no appreciable change in resistance. The temperature
dependence of the resistance of Cr7C3 after irradiation
is linear at low temperatures.
The temperature coefficients of the resistances of the two compounds were 1.05.10_I and 0.82.10-3
deg-1 respectively.
Recovery of resistance by chromium carbide irradiated with 1018 neutrons/cm2 begins at 1000?C,
and of chromium carbide irradiated with 1020 neutrons/cm2 at 600?C: a slight reduction in resistance is
observed even at 400?C (Fig.2).
For titanium carbide, recovery of resistance begins at 1000?C. Despite the relatively high anneal-
ing temperature, recovery of resistance is incomplete for both carbides, as is shown by Fig.2.
These results show that titanium carbide, which has a cubic structure of the NaC1 type, is more
stable to neutron irradiation than chromium carbide, for which the hexagonal lattice has repeat period
a more than three times greater than c. These data serve as additional confirmation of an established
fact: the more symmetrical and densely packed a structure is, the greater is its stability to irradiation.
On comparing the temperature coefficients of the resistances of irradiated chromium carbide
(1018 neutrons/cm2) with values [14] for nonirradiated material, we find that they are either unchanged or
slightly reduced by irradiation. In every case, the results obtained differ from the data given in [14] for
titanium carbide, where the temperature resistance coefficient of TiC was found to increase after irra-
diation by 1018 neutrons/cm2. It is possible that this discrepancy is due to different crystal structures
of the compounds.
When chromium carbide is irradiated by 1018 neutrons/cm2 and kept at 600 or 800?C, its resistance
is not restored, in agreement with the data on isochronous annealing.
Investigations of healing of radiation defects by isochronous annealing showed that radiation defects
in titanium carbide are thermally more stable than those of chromium carbide. This is connected with
the fact that the melting point of TiC (3147?C) is higher than that of Cr7C3 (1660?C). Appreciable restora-
tion of the resistance of Cr7C3 irradiated by 1020 neutrons/cm2 begins at 600?C, while at 400?C there is
only a tendency towards decrease of resistance.
Basing our argument on the healing of radiation defects in metals [15] and graphite [16], we can
suppose that the point defects (especially vacancies) which arise in TiC and Cr7C3 during irradiation are
fairly stable. The interstitial atoms are partly annealed during irradiation, owing to the recombination
of weakly dissociated Frenkel vapor and capture by traps. In metals, healing of vacancies is observed
at T 1-," 0.3 Tm (?K) In the carbides studied above, healing of defects takes place at higher temperatures
(see Fig.2). The vacancies and interstitial atoms formed by irradiation are removed by self-diffusion
at temperatures above 0.4 Tm(?K).
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LITERATURE CITED
1. A. Seeger, Phys. Verhandl. DPG. 4, 401 (1964).
2. R. Jan, Phys. Stat. Sol., 6, 925 (1564); 7, 299 (1964); 8, 331 (1965).
3. G. Leibfried, J. Appl. Phys. 30, 1388 (1-959).
4. M. Thompson, Rend. Sc. internaz. fis. ?Enriko Fermi>> 1960, vol. 18, N.Y.- Lond., p.169 (1962).
5. K. Sizman, Res. Group U.K. Atomic Energy Author., NAERE-R4694, 41 (1964).
6. G. Liick and K. Sizman, Phys. Stat. Sol., 6, 263 (1964).
7. K. Dettmann and G. Leibfried, Res, Group U.K. Atomic Energy Author., NAERE-R4694, 39 (1964).
8. W. Frank et al., Phys. Stat. Sol. 8, 345 (1965).
9. A. Damask, Rend. Sc. internaz. fIs. ?Enriko Fermi>> 1960, vol.18, N.Y.- Lond., p.555 (1962).
10. G. V. Samsonov and Ya. S. Umanskii, Solid Compounds of Refractory Metals, Moscow,
Metallurgizdat (1957).
11. S.N. L'vov et al., Fiz. metallov i metallovedenie, 11, 143(1961).
12. G. V. Samsonov and M.S. Koval' chenko, Hot Pressing, Kiev, Gostekhizdat UkrSSR (1962).
13. V.V. Ogorodnikov, IM. Fedorchenko, and A.I. Raichenko, Dokl. AN UkrSSR, No.12, 1603 (1960).
14. ID. Konozenko and V. S. Neshpor, Poroshkovaya Metallurgiya, No.1, 60 (1965).
15. H. G. Van Bueren, Imperfections in Crystals, 2nd ed., Wiley (1961).
16. J. Williamson, Graphite in Nuclear Reactors, Papers read at Symposium at the Institute of Metals,
London. Khaekov, Izd. FTI AN UkrSSR [Russian translation] (1962).
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DETERMINING THE AGES OF MINERALS
BY MEANS OF THE TRACKS OF FISSION
FRAGMENTS FROM URANIUM NUCLEI
I.G. Berzina and P.G. Demidova UDC 539. 173. 7 : 539. 173. 4
A method has recently been developed for determining the ages of minerals by means of the tracks
left by fragments from the spontaneous or induced fission of uranium nuclei [1-3]. The crystal lattice
defects caused by the fragments are found and measured.
The presence of the Clarke content of the fissile elements in a mineral means that, in principle,
we can detect spontaneous fission of these elements from the fission fragment tracks which are observed
on the surface of slips of test specimens. Since U238 decays by spontaneous fission 23 times faster than
U235, while the proportion of U235 in natural uranium is only 0.7%, we can assume that most of the fissions
are contributed by U238. Fission of U238 usually forms two fragments which move in the surrounding sub-
stance, losing energy and disturbing the crystal lattice. This disturbance can be detected by etching the
mineral with specially chosen reagents, which cause the initial lattice defects to appear as channels of
which the cross-section increases with the etching time. If the etching is continued until the channels
grow to about 1000 A, they will become resolvable under the microscope.
The number of tracks from spontaneous fission fragments is a function of the age of the specimen.
The main difficulty in calculating the mineral's age lies in determining the uranium content in the same
volume of substance as that used to count the tracks. This prblem is solved by a method given in [2]
for determining the uranium concentration from the tracks due to induced fission. The age T of the
mineral is given [3] by the formula
T? 01,101235
poa2ss
(1)
where pi and p2 are the densities of tracks due to spontaneous and induced uranium fission, respectively,
is the spontaneous decay constant of U238, n is the dose of thermal neutrons, cr is the fission cross
section of U235 for thermal neutrons, and J235 and J238 are the isotopic quantities of U235 and U238 in the
mineral. Equation (1) is valid for T S 109 yr.
Fig. 1. Tracks from fragments due to sponta-
neous and induced fission of uranium nuclei in
muscovite (double etching).
TABLE 1. Ages of Minerals, Measured by Means
of Uranium Fission-Fragment Tracks and by the
Potassium-Argon Method
Specimen
No.
Taken from:
Age, in mil ons of years
From uranium
fission -fr ag-
ment tracks
From potas-
sium -argon
method*
1
Quartz -wolframite vein
122?19
132?5 ?
2
Quartz -wolframite vein
117?15
131?5
3
Pegmatite vein
122 ? 18
138?7
? The potassium-argon analysis of the mica was performed in the
Absolute Age Laboratory of the Institute for Geology of Ore De-
posits, Petrography, Mineralogy and Geochemistry of the Acad-
emy of Sciences of the USSR, under the direction of L.L.Shanin.
Translated from Atomnaya Energiya, Vol.21, No.4, pp. 304- 306, October, 1966. Original article
submitted May 12, 1966.
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Fig.2. Rupture of fis-
sion-fragnient track
when mica is split
along its cleavage.
a
Fig. 3. Various possible appearances of tracks
due to fission fragment? on oppeSite eleavage
faces of intea. a) Paired extended tra.elc% b) ex-
tended and flat traeks; e)paired flat tracks.
The above method was used to determine the ages Of minerals from rate-Metal depOsitS ih Eastern
TranSbailtalt, which, according to general geological data, have not been Subjected to high temperatures
since the time Of their formation. In particular, specimens 1 and 2 (see Table 1) were taken from the
central parts of quartz-Wolfrannte veins, after which the only later formations were veins and Veinlets
of low-temperature chalcedony-like quartz.
In the experiments, plates of the mica were immersed in 48% hydrofluoric acid for 20h at 20?C.
The density of spontaneous-fission tracks on the etched surfaces was measured, and the specimens were
then coated with polyethylene film to prevent contamination and irradiated with thermal netittonS in a
reactor. They were then again etched in the same conditions as before, and the density of tracks due to
induced fission was measured.
Figure 1 shows typical tracks due to fission fragments in the mineral, revealed by double etching
with hydrofluoric acid before and after irradiation with thermal neutrons. The cross sections of the
tracks are rhombic in shape,
On etched opposite cleavage faces of mica we found three types of fission-fragment tracks ? paired ex-
tended, extended andflat, andpairedflattracks [5]. Figure 2 shows the rupture of a track due to splitting of
the mica along a cleavage plane. If the cleavage plane intersects the track far from its ends, then two
extended tracks will be observed on opposite etched cleavage faces (see Figs. 2 and 3a). It the cleavage
plane intersects the track near one end, the opposite cleavage faces will display one extended and one
corresponding flat track (see Figs. 2 and 3b). Tracks of the third type (see Fig. 3c), as shown in [5],
represent tracks which have been 'healed up' by high temperature annealing. In our case, the contri-
bution of flat defects represents less than 7% of the total number of fission-fragment tracks used in
determining the age of the mineral. The very small number of "healed" tracks can be regarded as evi-
dence for the absence of periods of thermometamorphism at any time during the geological history of the
test specimens. Fleisher et al. [4] have shown that the action of moderate temperatures (of order 150?C)
on mica does not lead to "healing" of tracks, even if continued for a very long time.
The Table gives results of determinations of the ages of minerals from fission-fragment tracks
and by -the potassium-argon method. There appears to be a systematic error in the results of the first
method, which tend to be too low; this may be mainly due to errors in determining the neutron fluxes,
because the statistical errors were reduced to a minimum (3%) by multiple measurements.
These experiments confirm the feasibility of using the above method to determine the absolute age
of mica which has not been subjected to thermal metamorphism. This method might be applied to Mine-
rals which have undergone prolonged heating at above 100- 150?C in order to find out how long ago the
metamorphosis has occurred; this cannot be estimated by existing methods, but is of much interest for
the solution of several geological problems.
The above method has the advantage over other geochronological methods that it can be used to find
the age of any mineral from small pure samples (e. g., thin mica plates with areas of 1 mm2).
In conclusion, the authors would like to thank G.N. Flerov for suggesting the research topic, and
also Yu. S. Shimelevich for helpful discussions on the results.
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LITERATURE CITED
1. M. Maurette, P. PeIlas, and R. Walker, Bull. Soc. franc, mineral. et cristallogr., 87, 6 (1964).
2. P. Price and R. Walker, Appl. Phys. Letters, 2, 23 (1963).
3. P. Price and R. Walker, J. Geophys. Res., 68,-4847 (1963).
4. R. Fleisher et al., Science, 143, 349 (1964).
5. Ya. E. Geguzin, I. G. Berzina, and I.V. Vorob'eva, Izv. AN SSSR, ser. geol., No. 6, 21 (1966).
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ENERGY CHARACTERISTICS OF X-RAYS WITH
'MAXIMUM VOLTAGES OF 40-120 kV
R. V. Stavitskii UDC 621. 386. 7:621, 386, 86
In designing and testing shielding against direct and scattered x-radiation with maximum tube
voltages of 40-120 kV, account must be taken of the energy characteristics of both forms of radiation.
We have used an indirect method of determining these characteristics, based on single and double
measurements of half-attenuation layers A, followed by determinations of the effective energy by means
of tables given in [1]. This method cannot be regarded as absolute, as the spectral composition of the
radiation changes in the half-attenuation layer itself. However, for purposes of practical dosimetry, a
knowledge of the effective energies of the radiation is considered quite sufficient [2, 3].
The half-attenuation layer was measured for three media ? (1) water, which is a tissue-equivalent
material; (2) brick (density 1,6 g/cm3); (3) concrete (2.3 g/cm3). The radiation fields were 4 x 4 and
20 X 20 cm It was assumed that the first case corresponded to narrow-beam geometry and the second
case to wide-beam geometry. To allow for the different effective energies of the radiation in irradiated
objects of different thicknesses, the measurements were made twice ? once in a tissue-equivalent
medium of thickness 5cm, and once in 20 cm We used a capacitor-type dosimeter with a thin-walled
ionization chamber of sensitivity 9-250mR, accuracy not worse than ?5%, and energy range 30-200keV.
We first measured the relation between the half-value attenuation layer and the tube voltage, in
free air (Fig. 1). There was a significant difference between Ai and A2, the first and second half-attenu-
ation layers, over practically the entire range of tube voltages: this indicates that the radiation was very
inhomogeneous (with 40 kV max., A2/A1= 1.21; with 80 kV max., 1.33; with 120 kV max., 1.38).
Consequently, to reduce the absorption of radiation in the surface layers of the irradiated substance,
the additional filtering must be augmented, beginning from tube voltages of 60-80 kV max. or over.
Figure 2 shows the energy characteristics of the primary x rays after passage through 5 or 20 cm
of water. The natures of the curves for a narrow beam show that the effective energy increases
uniformly, and the homogeneity of the radiation is approximately constant. The effective energies are
practically independent of the thickness of the water layer, i.e., with 5-cm water layers there is fairly
good filtration of the radiation. Further increase in the thickness of the absorbing medium has practically
no effect on the energy characteristics of the radiation. Comparison
of the characteristics of the wide and narrow beams for both
thicknesses of the absorbing media reveals a certain difference, even
for tube voltages of 40-80 kV max. At higher voltages the difference
is even more marked. The closeness of the results for a wide beam
32 for both absorbing-layer thicknesses is explained by the fact that
23 low-energy quanta, entering the absorbing medium or formed in its
first 15 cm, are totally absorbed by the remaining water layer. We
can reckon that the spectral composition of the radiation remains
practically constant, in this range of effective primary-radiation
energies, for absorbing media 5cm or more in thickness.
For tube voltages lower than 80 kV max. the effective energy
of a wide beam of x rays falls off sharply, reaching a value less than
that of the narrow beam by a factor of 1.5-2.0. The coefficient of
homogeneity is equal to 1.2 for 100 kV max., and 1.3 for 120 kV max,
This phenomenon is clearly due to Compton scattering.
The energy characteristics of scattered radiation were measured
and analyzed as follows: the tube voltage was 40-120 kV max., the
Feff
13 5
40 60
80 100 1J. kV max
Fig. 1. Half-attenuation layer
A and effective energy Eeff of
x-radiation, versus tube
voltage Ua, measured in air
(additional filter ? aluminum,
thickness 2 cm). Ai and /12
are the first and second half-
attenuation layers, respec-
tively.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 306-308, October, 1966. Original
article submitted April 12, 1966.
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Eeff
100 15
65
43
-10
5
12
4A2
A2
-?Af
40 60
80 100 Ila, kV max
a
Eeff A
WO 15
65
43
10
2 21
2/
22
40
60 80 100 Ua, kV max
Fig. 2. Comparison of half-attenuation layers A and effective
energies Eeff of wide and narrow beams of x rays for water
layers with thicknesses of 5 cm (a) and 20 cm (b), versus
tube voltage Ua. (1), (2) Radiation field 4 x 4 cm (narrow
beam); (3), (4) 20 x 20cm (wide beam).
Eeff A
43 5
32
23
40 60 80 100 U, kV max
a
Eeff A
43 5
32
23
40 60 80 100 Ua, kV max
Fig. 3. half-attenuation layers A and effective energy Eeff of
scattered radiation in water, versus tube voltage Ua, for
various distances between radiation field and side surface;
(a) 1 cm; (b) 10 cm.
thickness of the scattering water layer 20cm, the cross section of the primary beam at the surface of
the irradiated medium 20 x 20cm, and the angle of scattering 90?. The half-value attenuation layers
were measured twice-with the edge of the radiation field 1cm and 10cm from the side surface of the
vessel containing the water. This arrangement made it possible to assess how the thickness of the
absorbing layer influenced the energy characteristics of the scattered radiation. The results are plotted
in Fig. 3.
With a radiation field located near the edge, for tube voltages more than 80-90 kV max., we
observed a fairly sharp reduction in the yield of radiation with low energies. This is most probably
due to an increase in the yield of quanta which have undergone Compton scattering, The contribution
made by characteristic x radiation cannot be large, because for low tube voltages (below 80 kV max. )
the degree of homogeneity of the scattered radiation is relatively large (A2/A1 = 1.1 at 40 kV max. and
1,22 at 60 kV max.), despite the fact that these voltages are higher than those which excite characteristic
radiation for water and oxygen.
Removal of the beam away from the edge leads to increased homogeneity in the scattered radiation.
It must be remarked that in this case there is relatively little increase in the effective energies of
scattered radiation throughout the range of tube voltages.
Our investigation of the energy characteristics of primary and scattered radiation passing through
water has thus shown that for tube energies of 40-120 kV max. (additional filter ? aluminum, 2mm
thick), (1) the effective energy of a wide beam of x rays is 40-60 keV, that of a narrow beam 40-95keV;
(2) the effective energy of radiation scattered through 90? is close to that of the primary beam in free
air (23-34 keV), though the homogeneity is somewhat less.
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Eeffid
65
43
10
5
60 80 100 Ua, kV max
a
Eeff 4
65
43
10
5
60 80 100 Ua, kV max
Fig. 4. Attenuation half-value layer A and effective energy
Eeff of wide beam of x-rays passing through a 12.5-cm
lager of brick (a) or a 12-cm layer of concrete (b), versus
tube voltage Ua.
The energy characteristics of x rays passing through layers of concrete and brick were studied
only for wide x ray beams. The results are shown in Fig. 4. The curve for the first half-attenuation
layer versus tube voltage practically coincides with that for the second layer. For voltages lower than
80-90 kV max. the degree of homogeneity is very high, but falls somewhat on increase of voltage,
without exceeding the limit 1.1. This means that the long-wave part of the spectrum of radiation passing
through the shielding has a low intensity, because low-energy quanta formed in the first few layers of
shielding are wholly absorbed in the deeper layers. The radiation scattered in the last layers of concrete
or brick shielding is of low intensity, since this radiation has practically no effect on the qualitative
characteristic. It must be pointed out that 12 (12.5) cm thicknesses of concrete (brick) have inadequate
shielding properties at tube voltages of 80-120 kV max., if we regard them as permanent shields for
offices or laboratories where x rays are used. Nevertheless, analysis of the energy characteristics of
radiation which has passed through these thicknesses of concrete or brick shows that, for high enough
homogeneity of the radiation, the effective energy is about 3/4 of the absolute tube voltage. In particular,
this enables us to solve the problem of choosing an energy range in which to operate dosimetric devices
for monitoring the efficiency of shielding.
LITERATURE CITED
1. A. N. Krongauz, In book: Soine Aspects of X-ray and Nuclear Radiology, Moscow, Medgiz, p. 119
(1961).
2. A.V. Frolova., Ibid., p. 93.
3. A. V. Frolova et al., Vestnik rentgenologii i radiologii, No. 1, 49 (1961).
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ANALYSIS OF INTEGRAL P- SPECTRA BY THE
HARLEY-HALLDEN METHOD
L. I. Gedeonov, G. V. Yakovleva, UDC 543.52
and I. M. Eliseev4
In laboratory practice it is often necessary to determine or check the radiochemical purity of a
/3-emitter. To identify a radioactive isotope, and as a criterion of its radiochemical purity, the
present authors have used the shape of the integral fl-spectrum, measured by means of a scintillation
spectrometer. Registration of the integral spectrum increases the sensitivity of the method and makes
it possible to determine the energy of the 13-rays from weakly-active preparations. The method was
used both for infinitely thin preparations and for sources with thicknesses up to 100 mg/cm2.
Present methods [1-6] of analysing the spectra of 13-emitters by means of scintillation spectro-
meters are based on the use of a crystal with a well, or double crystals between which is placed a
source of negligible weight deposited on a thin backing. The recorded differential simple spectrum of
the /3-emitter has, to a first approximation, a shape which can be represented by a Curie straight-line
graph. However, with scintillation detectors we get an instrumental spectrum which is badly distorted
at low and high energies, owing to the poor resolving power of scintillation [3-spectrometers, the
finite thickness of the preparations, and reverse scattering of )3-particles by the substrate and the
crystal itself. The effects of the inadequate resolving power of the spectrometer can be partly avoided
by introducing complicated corrections [7-9], calculated from the shape of the lines of the given
spectrometer. With the best scintillation /3-spectrometers, it is possible to get rectilinear Curie
graphs up to 50 keV. Unfortunately, this method, besides being complicated, is quite inapplicable to
the measurement of substances with low specific activity. In this case, the shape of the spectrum is
distorted owing to self-absorption of [3-particles in the source, and the Curie graph becomes nonlinear
throughout the spectrum.
The scintillation 13 -spectrometer which we used consisted of a crystal (stilbene, diameter 30 mm,
height 15mm), a photomultiplier, a cathode follower, a discriminator amplifier and a counting circuit.
The measured integral spectra of thin preparations (on colloid films) were analyzed by the
Harley-Hallden method [10]. The integral /3-spectrum of Y91 with Em ax = 1.5 MeV was used as
reference standard, and the )3-spectra under investigation were compared with it. For the test and
reference specimens we determined the ratio of the integral number of pulses, N, for a given
0.6
0.4
0.2
8 0.1
(7.3' 0.06
0.04
0
z '0.02
0.01
0.01 0.02 0.04 0.06 0.08 01
Rhi?6;tga-4.2
empums..7-,--r-
113211111.171
-6-- - - - -?- -
?
--
?
Pr , tga -3.3
?
- -
204
re , tgcr-
0.26 ie
'
,. .
'
'e,
-
--2
Y , tg a -2.2
?
'
(f+)0
CS73,7 tg
a -0.21
.
Srg tg cr-
-
0.15
02 0.4 0.6 0.8 1
N/No for Y91
Fig. 1. Integral 13-spectra of various radioactive isotopes (thin sources), relative to
the integral /3-spectrum of Y91.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 308-311, October, 1966, Original
article submitted March 2, 1966.
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displacement Of the discrinfiriater, to that, -1\10, without
.displacement. 'The values found 'were plcitted
legarithrnic ,coordinates.. Figure 1 shows that in this
? fornithe integral Spectrum of Simple 0.-;ta.diatiOn is 'a
straight line with a !gape 'Which depends On the limiting
energy of the p -spe'ctrum difference Was fcibserVed
in the slopes Of the :integral ft-speetta for the two .
positions of the source ,(1 ,and 2'5 min Trott the ,eryatal);
Figure 2 plots the energy dependence of the
gradient of the straight-line graph. It Can expteased
analytically as
oo
pf:144
Rfit?6
y90 .
,st-90
Srgi)
0 1 2 - 3 4 tga
Fig. 2. Slope of straight line ver-
!SUS limiting energy of ft -spec-
trum.
05
0.2
0.5
02 '
0.5
0.2
3
-6 1
+ 0.5
u?) 0.2
0.5
0.2
0.5
0.2
Ce141
Fe3T4=0,013!
0.60
0.90
2.5
????
E 0 i85 tg +.0.70-0.'05 td2
This empirical relation enables us to determine the
limiting energy of the /3-spectrum of an tilikrIOWil iSotopb,
to within'-10%. The time required to identify a
,ft-emitter with 'an activity of 10-9 CI is about 10 Mill,
and is inversely proportional to the 'activity of the
preparation; The lowest activity necessary ter the use
of the above method 18 about 10-9 Ci.
The method was SAS? 'applied to preparations of
Sr99, Cel", and Sr90 +'Y90 with thicknesses up to
100 mg/cm2 (tablets of 5mm diameter, pressed on a
lead substrate). From measurSmentS withEp > 150keli
it was shown that the slopes of graphs of the -integral
spectra of Sr99 do not depend on the weight of the
preparation up to 70 mg/cm2 (Or for Cel" or Y90 up to
100 mg/cm2), owing to the high limiting energies of
these spectra. In the Soft range, the integral spectrum
of Sr90 + Y90 depends on the weight of the preparation;
owing to the low energy of )3-radiation from SO? (500 key).
Therefore, to test the radiochemical purity of Sr90 Y9?
we have to compare their spectra with that of a
reference Sr" + Y9? source of similar density.
The method described above was also applied to
two-component mixtures of ft-emitters.
Figure 3 shows the 13-spectra of thin preparations
0.5 of Ce141 + Cel" for various relative isotope contents.
02 In this case the reference standard was CO". It will be
seen that the spectrum of the cerium isotope mixture
consists of two parts. The hard part of the spectrum
corresponds to Ce144; the gradient is equal to unity. The
low-energy part (below 0.5 MeV) corresponds to Ce141
and has a steeper slope. The ratio of the points of
intersection of the dashed and solid lines with the
vertical axis gives the ratio between the activities of
C141 and Ce144 in the mixture. The activity of Ce141 found
from the curves in Fig. 3 is somewhat less than the true figure, because part of the soft 13-radiation from
the Ce141 is cut off by the displacement of the discriminator required to cut off the noise from the photo-
multiplier. This fraction is determined by using the spectrometer to make direct measurements of the
count rate of fl-rays from Ce141 of known absolute activity.
Figure 3 also shows that a 1% admixture of Cel" in Cel" is undetectable. A 3% admixture of Cel"
can just be detected, and quantitative determination of the activity of each component can begin at
7% Cel". This method not only enables us to determine the quantitative composition of a mixture of
5
0.06 0.08 01 02 0.4 0.6 0.8 1
N/ No for Ce144
Fig. 3. Spectrum of Cel" + Ce144 (thin
films), relative to spectrum of Cel".
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1
05
0.2
1
0.5
0.2
0.5
0.2
z1
0.5
0.2
1
0.5
0.2
,
-
Sr"-
85'?
--
Sr89*Sr90
tg a=1.38
71Y.,tgcr--1
707?tga=1.77
62X,tg-1.80
-
55%tga-18
48%,tga-19
..
3a,tga-2.13
20Z?tga=2.3
167?tga-2
10X,tga=2.4
0, tga =24
0.01
002
0.04 0.06 0.08 0 1
N/No for Y9'
0.2 04 0.6 0.81
Fig, 4. Spectra of Sr89 + Sr" (thin sources) relative to spectrum
of Y.
Ce141 + 144, but also makes it possible to establish the radiochemical purity of cerium. Exact similarity
between the shapes of the integral spectra was also obserVed for-preparations of Ce141 + Cell" With
weights up to 100 mg/cm2. In this case the count rate determined by each cerium isotope is also found
from the ratio of the initial ordinates of the solid and dashed curves.
Figure 4 gives the /3-spectra of thin specimens of Sr89 + Sr99 of various compositions. It was
established that any preparation of Sr89 always contains a little Sr", For this reason, the reference
standard used for strontium isotope mixtures was of Y91, for which the ,3-spectrum is similar to that
of Sr89. From Fig. 4 it will be seen that the hard section of the ,3-spectrum of Sr89 + Sr99 is rectilinear,
and that its gradient depends on the percentage content of Sr89 in the mixture. Since the energy of /3-rays
from Y99 is close to that of Sr89, no bend is observed in the hard section of the spectrum, in contrast to
the case of Ce141 + Ce144, Analysis of the experimental relation between the slope of the integral spectra
of Sr89 + Sr99 and the proportion of Sr89 showed that the minimum detectable proportion of Sr89 is 10%.
The mean error in determining Sr89 by this method is about 10% when its activity constitutes > 20% of
the total. If the Sr89 content is lower, the accuracy is somewhat worse.
The time required to analyse a two-component radioactive mixture with total activity of 10-9 Ci
is about 2h.
This method can be used for activities about ten times lower than those required for analysing
the absorption curves for /3-radiation. It also requires much less time than that required to analyse
the decay curves of long-lived isotopes, being about a thousand times more rapid,
LITERATURE CITED
1. B. Ketell, Phys. Rev., 80, 758 (1950).
2. J. Hopkins, Phys. Rev., 77, 406 (1950).
3. R. Davis and P. Bell, Phys. Rev., 83, 483 (1951).
4. D. Gardner and W. Heinke, Internat. J. Appl, Radiat, and Isotop., 3, 232 (1958).
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5. R. Ricci, Physica, 23, 693 (1957).
6. R. Johnson, 0. Johnson, and L. Langer, Phys. Rev., 102, 1142 (1956).
7. G. Owen and H. Primakoff, Phys. Rev., 74, 1406 (1948).
8,? G. Owen and H. Primakoff, Rev. Scient. Instrum., 21, 447 (1950).
9. M. Freedman, T. Novey, and F. Porter, Rev Scient. Instrum. , 27, 716 (1956).
10, J. Harley and N. Hallden, Nucleonics, 13, No. 1, 32 (1955). ?
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EAST GERMANY'S FIRST WHOLE BODY COUNTER
K. Poulheim UDC 539. 107. 43
Construction of the SZS whole body counter, East Germany's first such facility, began in 1963. The
recording system presently in use was completed by late 1964, calibration and regular measurements
began in January, 1965.
The whole body counter built at the State Center for Ionizing Radiation Shielding is designed to
measure the content of radioactive materials present in the human organism in the wake of accidents and
exposures, to rate neutron dosage by the activity of Na24 formed in the human organism after exposure
to neutron radiation, and for experimental research. It also provides dosimetric monitoring of exposure
of personnel working with radium light-sensitive compounds of fixed composition ? the first facility of
this kind. After a second whole body counter, which is now the planning boards, has been build, this
counter facility will be relegated to use on experimental animals.
All of the materials and instruments used in the fabrication of the counter were produced by East
German industry (with the sole exception of the scintillation measuring probe). The shielding includes 50
tons of gypsum, and the measurements chamber is built from a section of iron ductwork (diameter 145 cm,
length 200 cm, wall thickness 1.5 cm) fabricated in 1925. The measurement chamber is lined with lead
plates 6 mm thick and 150 cm long, thinning out the background in the low-energy portion of the spectrum
(down to 500 key). The lead, a product about half a century old, was studied for its own content of radio-
active materials before being set in place in the measurement chamber. The lead plates were coated
with electrolytic copper sheet of 3 mm thickness to absorb the characteristic K-radiation.
The earlier Tl-activated NaI crystal (diameter 100 mm, height 70 mm) scintillation measurement
probe [11 was later replaced with a new Nuclear Enterprises measuring probe. The latter featured
2
10
05 1 1.5 2 E,mev
Fig. 1. Spectral scan of background in SZS experimental whole body
counter. 1)Unshielded, crystal 0 100 x70 mm; 2)gypsum shield in
place, same crystal; 3) gypsum shield in place, crystal 0 125 x100 mm.
State Center for Ionizing Radiation Shielding, Berlin-Feidrichshagen, Deutsche Demokratische
Republik, Translated from Atomnaya Energiya, Vol. 21, No. 4, pp. 311-312, October, 1966. Original
article submitted April 12, 1966.
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Gypsum Shield; y -Ray Attenuation
Factors
Fig.2. Patient in position in SZS measuring chamber.
Crystal
size, mm
Background
in 0.09-3
MeV range,
normalized
to 1230 cmg
volume, in
pulses /min
Attenuation factor for
0.1 MeV
1. MeV
1.5M eV
.0.100 X 70
0125 X 100
2595
860
30
83
11
34
5
28
a NaI (Ti) crystal 0 125 x100 mm optically
coupled to an EMI-9530 QA photomultiplier tube
of 127-mm cathode diameter; these components
had an exceptionally low background. The mea-
suring probe had a low potassium content (10-4%
to 2 ? 10-4% in the crystal; quartz-window photo-
multiplier tube) and excellent energy resolution. An aluminum window 50 ? thick allowed y radiation
through, so as to detect low-energy y radiation and bremsstrahlung. An energy resolution of 9.1% was
obtained, with the aid of a point source, for the Cs137 photopeak (661 keV). Voltage pulses taken from the
photomultiplier output were passed through a transistor preamplifier and impressed across the input of
a wideband amplifier, whose output pulses were presented in turn to a 100-channel pulse height analyzer
fabricated by the Central Nuclear Research Institute (Rossendorf). The information so obtained was
stored in a ferrite memory coupled to an automatic recorder.
The counter background spectra appear in Fig. 1. Spectra taken with crystals of different sizes
were normalized with respect to data for the measuring probe with the 0 100 x70 mm NaI (Ti) crystal.
The count rates in different channels were converted to equal crystal volume (550 cm3).
Attenuation factors for y radiation in different energy regions are tabulated for both measuring
probes. The integrated background is 0.71 pulses/min. cm3 in the 0.090 to 3 MeV energy range. In con-
trast to the results of the first studies, peaks ascribable to y emitted by RaC, a Ra226 daughter, were re-
corded in the background scans after the gypsum shield was set in place. The discrepancy in the data
clearly imply an exceptionally low Ra226 content in the water used initially. Distilled water is therefore
recommended for an additional gypsum shield. The restricted volume of the measuring chamber and the
use of only one detector are determining factors in the measurement geometry. In general, either multi-
position geometry [2] or inclined-chair geometry [3] can be resorted to. In most cases the inclined-
chair geometry will be used in research studies. The distance from the crystal center to the back of the
chair is 42 cm, or 41 cm to the seat of the chair. The chair was made of wood, to avoid the use of
recently fabricated steel tubes. The placement of the chair in the measuring chamber produces no back-
ground enhancement, A view of the measuring chamber appears in Fig. 2.
The whole body counter described was fabricated to measure potassium and Cs137 after K42 calibra-
tion, on ten volunteers [4], and was then tried out on an anthropomorphic phantom filled with C s13.7 solution.
Potassium content and Cs137 content in the human organism was measured on over a hundred subjects.
LITERATURE CITED
1. K. Poulheim and H. Hoesselbarth, Health Physics, 11, 52, (1965); Atomnaya Energiya, 19, 488 (1965).
2. C. Miller, Health Physics, 10, 1065 (1964).
3. C. Miller, Proc. of Second United Nation Intern. Conf. on the Peaceful Uses of Atomic Energy, Gene-
va, Unit. Nat., Vol. 23, p. 113 (1958).
4. K. Poulheim, H. Hoesselbarth, and V. Lossner, Determination of Natural Potassium Content in the
Human Organism with the Aid of the SZS Experimental Whole Body Counter. Report delivered to the
X Congress of the Medical Science Society of the German Democratic Republic (Leipzig, October
20-23 1965).
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NEWS OF SCIENCE AND TECHNOLOGY
TEN YEARS OF THE DUBNA JOINT INSTITUTE
FOR NUCLEAR RESEARCH
V. Biryukov
The Tenth Aniversary Session of the Learned Council of the Joint Institute for Nuclear Research
was held May 31 through June 4, 1966; this was the XX session of the Learned Council. A full ten
years have elapsed since the signing of the agreement in Moscow to set up this international scientific
research center serving the socialist countries. Leading scientists of member-nations of the Joint
Institute for Nuclear Research and diplomatic representatives of a number of countries were on hand
for the XX session at Dubna.
Academician N. N. Bogolyubov, director of the JINR, surveyed the work of the Institute in the
ten years of its existence in a report to the solemn anniversary session. At the time of its organization
in 1956, the Institute comprised two laboratories of the Academy of Sciences of the USSR: the Nuclear-
Problems Laboratory with its existing proton accelerator, the 680 MeV synchrocyclotron, and the
High-Energy Laboratory, which at that time was working on adjustment of a new accelerator, the 10-
GeV proton synchrotron (the "synchrophasotron"). A decision was soon made to set up three new labo-
ratories: the Theoretical-Physics Laboratory, the Nuclear-Reactions Laboratory, and the Neutron-
Physics Laboratory. The first half-decade saw the solution of the basic problems confronting the in-
stallation of large experimental facilities. The proton synchrotron beganoperating in 1957, and a
powerful cyclotron accelerating multiply charged ions was commissioned in 1960. A pulsed fast reactor
went into operation in the same year. The second half-decade of the Institute saw the successful imple-
mentation of and further improvements in experimental techniques and the development of experimental
information processing systems incorporating electronic computers.
In ten years; the Joint Institute has become a major scientific center of worldwide renown, with
many discoveries to its credit, and a program of diversified front-line research in experimental phy-
sics and advanced theoretical physics.
Scientists on the staff of the Nuclear-Problems Laboratory have made important contributions to
the knowledge of nuclear forces through their many years of research on elastic and inelastic nucleon-
nucleon scattering. The study of interactions involving 7-mesons and nucleons has yielded highly reliable
proofs of charge symmetry and charge invariance of nuclear forces. Synchrocyclotron experiments
have confirmed the validity of the causality principle, of major importance for modern theory, down to
distances on the scale of 10-13cm. A proof of muon-electron symmetry was obtained and the validity of
the principal tenets of the modern theory of universal weak interaction have been confirmed. Scientists
working in this laboratory have establised the possibility of the existence of an electron neutrino and a
muon neutrino, and have suggested an experiment to detect the latter. Some interesting effects were
noted in the study of 7-mesoatomic and ?-mesoatomic phenomena. Over 40 new nuclides have been dis-
covered by research in nuclear spectroscopy and radiochemistry. The advances achieved by the labo-
ratory in the theory and practive of high-current accelerators are widely acknowledged. It was in this
laboratory that the first cyclotron with spatially varied magnetic field was built. The laboratory, which
is the oldest one in the Institute, is directed by V. P. Dzhelepov, corresponding member of the USSR
Academy of Sciences.
The second largest scientific body at Dubna is the High-Energy Laboratory, formerly headed by
the late Academician V. I. Veksler. The production of particles of "cosmic" energies under laboratory
conditions has placed in the hands of physicists a tool capable of greatly expanding and deepening re-
search on the properties of elementary particles at high energies. A research program of wide scope
on the production of mesons, nucleons, and hyperons, has led to some intriguing inferences on the
Translated from Atomnaya Energiya, Vol.21,No.4,pp.313-315, October, 1966. Tenth Anniversary
Session of the JINR Learned Council at Dubna.
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nature of those reactions, and on the properties of particle interactions. The regularities established
in the experiments have since been accounted for within the framework of several theoretical models.
A new particle, the antisigma-minus-hyperon, has been discovered in proton synchrotron experiments,
and its discovery has validated general theoretical predictions on the properties of particles. Many
research projects have centered on the study of new particles, or resonances, some of which were
first discovered by scientists attached to the High-Energy Laboratory. Subtle experimental techniques
for studying nucleon structure have been elaborated here. Interest focuses particularly in a series of
experiments on scattering of nucleons and r-mesons by nucleons at limiting small angles, and on back-
scattering of 7-mesons by nucleons, at angles close to 1800. The results provide experimental con-
firmation of fundamental points in modern theory.
Later on, N. N. Bogolyubov presented an account of the foundation and subsequent activities of
three new laboratories in the Institute complex. As a result of efforts of member-nations of the JINR,
in sending their scientists to Dubna for concentrated work, one of the largest centers in theoretical
thoughthas materialized ? the Theoretical Physics Laboratory. This laboratory is exerting a substan-
tial influence on the development of this sector of world science. Scientists on the staff of this labora-
tory are working in the front line of contemporary theoretical physics. The staff is currently headed by
D. I. Blokhintsev, corresponding member of the USSR Academy of Sciences.
A rigorous derivation of dispersion relations was arrived atDubna, followed by concrete applica-
tions of dispersion relations, and experimental verification of the findings provided an answer to the
basic question on the correctness of the fundamental concepts of current field theory. Research on
particle interactions at high energies, one of the laboratory's activities, relies heavily on the general
tenets of field theory. Experimental work connected with the development of a phenomenological theory
have played an important role in the planning and interpretation of accelerator experiments. Many in-
vestigations by theoretical physicists have been related to the study of space-time geometry in the mi-
crocosmos, and to field-theory models and particle models. Attempts to make headway in the compli-
cated problem of the enormous number of presently discovered particles have been undertaken
in particle systematics research. Application of the theory of symmetries to particle structure have been
notably successful in recent work. Great advances in nuclear theory have been achieved by laboratory
scientists in these years. This research, based on the application of physical and mathematical techniques
developed earlier in the theory of superfluidity and superconductivity to the study of complex nuclei, shed
new light on many experimentally observed properties of nuclei.
Some important lines of research, such as the study of nuclear transformations induced by heavy
ions, are being conducted at the Nuclear-Reactions Laboratory, which is headed by G. N. Flerov, cor -
responding member of the USSR Academy of Sciences. A major facility of this laboratory, the three-
meter cyclotron, generates beams of different multiply charged ions (from boron to argon). In a short
time span the staff scientists have completed some significant research, and have uncovered new phy-
sical phenomena. A significant advance was registered in the area of fusion and in the study of the
physical and chemical properties of the far transuranium elements. New isotopes of elements 102 and
103 were synthesized in this laboratory. The new element 104 was discovered, and both physical and
chemical identifications were achieved. Heavy ions were employed in the discovery of a new mode of
radioactivity: proton decay of nuclei. The laboratory scientists have provided a theoretical basis for
the concept of nuclei overrich in protons which emit a proton on decaying, and have since synthesized
such nuclei. A new and intriguing phenomenon has been discovered: and abrupt increase (over 1020_
fold)in the probability of spontaneous fission of nuclei in an isomeric state. Many investigations in-
volve studies of coulomb excitation of nuclei bombarded by heavy ions, as well as evaporation reactions
and nucleon group transfer, fission reactions, and other topics.
The Neutron-Physics Laboratory is headed by I. M. Frank, corresponding member of the USSR
Academy of Sciences. The pulsed reactor has proved a valuable research tool in the discovery of new
experimental data on atomic and magnetic structure, in the study of the dynamics of liquids, crystals,
and molecules with the aid of slow neutrons. This new tool has aided physicists in studying many in-
teresting phenomena in liquids and crystals. Pulsed fast flux from the IBR reactor combined with long
path lengths now set up conditions favoring the solution of various problems in the neutron spectrometry
of nuclei. Research of broad scope and versatility has yielded unique information on the properties of
levels of excited nuclei, and has smoothed the way for experiments with fissionable elements, for ex-
ample. Physicists on the laboratory staff have had great success in attempts to develop an effective
method for producing a polarized neutron beam by transmission of neutrons through a polarized proton
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target. An electron accelerator (a microtron) has been built at the Neutron-Physics Laboratory in a
collaborative undertaking with the Institute of Physics Problems of the USSR Academy of Sciences. It
is now being employed as an injector adjunct to the reactor, increasing the accuracy of neutron spectro-
metric measurements ten-fold. Complex experimentation is being facilitated by a measurements center
set up as adjunct to the laboratory, and capable of processing a huge volume of experimental information.
New experimental and theoretical research techniques in modern nuclear physics call for automa-
tion of experiments and the use of electronic computers to handle mathematical calculations of the ut-
most complexity. Direct coupling between physical analyzing facilities and computers has been success-
fully achieved in many cases. The measurements centers now in existence or being set up as laboratory
adjuncts are now backed up by a Computing Center equipped with electronic computers. E. P. Zhidkov is
in charge of the Computing Center. A lot of attention has been given to the development of automated ex-
perimental information processing methods and facilities at the Joint Instute.
In his concluding remarks, N. N. Bogolyubov gave an account of the international collaboration of
the Joint Institute with nuclear research centers in many countries. Over the decade the Institute has
published over 2500 brochures on the results of various scientific research projects and has sent them
out to a mailing list of over 1000. Papers by scientists attached to the Institute have been dispatched
to 36 countries throughout the world and have been published in many periodicals. The Joint Institute
for Nuclear Research has entered into collaboration with scientific bodies in the member-nations of the
Institute in carrying out about a hundred experimental and theoretical research projects. Each year,
200-odd specialists from member-nations of the Institute travel to Dubna to carry on joint work and to
exchange experience. Physicists and engineers on the JINR staff travel to member-nations of
the Institute to deliver lectures and conduct discussions on joint work projects. Each year, the Institute
organizes over ten workshops on current topics in nuclear physics. JINR scientists participate in many
international and national conferences. The scientific liaisons of the JINR with such leading scientific
centers as CERN (Geneva), the Niels Bohr Institute (Copenhagen), the research centers Saclay and
Orsay in France, are being continually expanded. A heavy value is placed on the developing collaboration
between the Joint Institute at Dubna and the Institute of High Energy Physics at Serpukhov.
"The great international experiment begun at Dubna ten years ago has," in the words of N. N.
Bogolyubov, "fully confirmed the correctness of the idea of combining the forces of scientists in the
socialist countries."
A report by a group of scientist on the staff of the Nuclear Reactions Laboratory, presented a
report to the XX session of the learned Council: I. Zvara, "Chemical properties of element 104 and
confirmation of the discovery of element 104 by chemical methods" (I. Zvara et al. , Atomnaya Energiya,
21, 83 (1966)). The fact has been publicized that a team of physicists headed by G. N. Flerov first
synthesized element 104 in this laboratory in 1964. Some delicate chemical research on the properties
of the new element were completed here in 1966, employing an original high-speed procedure for con-
tinuous separation of the nuclear interaction products in high-temperature rapidly flowing gas streams.
This method made possible a study of the chemical properties of the element using a small number of
available 104 atoms, in a fraction of a second. The Learned Council awarded the JINR special first
prize to the authors of this paper. Following the proposal of the Nuclear-Reactions Laboratory, the-
Learned Council passed a resolution assigning the name of I. V. Kurchatov to element 104 in memory
of the outstanding services of Academician I. V. Kurchatov to the development of Soviet and world nuclear
physics.
The Learned Council of the JINR confirmed the decision of the contest panel on the competition for
JINR prizes on the most outstanding work on research and techniques in 1965. Ten research projects at
the Institute were nominated for -prizes. First prize was awarded for a cycle of papers on "The theory
of polarized target reactions and the complete experiment," and two other prizes were awarded for "Syn-
thesis and investigation of the properties of isotopes 102254 and 102256, fl and "Experimental and theore-
tical research on the properties of K2? -mesons." In addition, first and second prizes were awarded
jointly for the study on technique entitled "Cycle of research on enhanced intensity and longer duration
of the internal beam in the JINR synchrocyclotron," and the paper "The IBR [fast reactor] ?microtron
system."
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THE THIRD ALL-UNION SEMINAR ON REFRACTORY COATINGS
N. N. Popov
The Third All-Union Seminar on Refractory Coatings, organized under the sponsorship of the
I. V. Grebenshchikov Institute of Silicate Chemistry of the USSR Academy of Sciences, was held May
27-31, 1966 in Leningrad. 400-odd representatives from over 130 organizations took part in the proceed-
ings, and 50 papers were heard and discussed.
New theorectical developments on physicochemical processes in the fabrication of protective coat-
Angs from melts and gaseous media were announced in papers by V. P. Elyutin, N. N. Rykalin, A. A. Appen,
M. A. Mauraldi, M. Kh Shorshorov, and others.
A report by A. I. Avgustinik and G. I Zhuravlev on the thermal stability of ceramic coatings was
interesting from both theoretical and practical standpoints. There is a need for preliminary evaluation
of the thermal stability of ceramic coatings because this property is one of the decisive factors in the
choice of coating, and since many components and articles have to function under nonstationary heat con-
ditions. The most correct approach, in the view of these authors, is to calculate the temperature fields
in the coatings, and then to find the thermoelastic stresses and stress relaxation brought about by those
fields through creep deformation of the materials. Solution of these basic problems opened the way for
obtaining formulas with which to calculate temperature fields, stresses, and the allowable heating rate
for refractory-coated articles.
Most of the papers submitted dealt with protective coatings applied to cast iron, steels, and chro-
mium-nickel base alloys by a variety of methods (hardfacing, diffusion saturation of the metal surface,
vapor deposition), determination of the corrosion resistance of coatings, and studies of the effect of
coatings on the mechanical properties of steels and alloys.
G. V. Karpenko et al. described a pilot facility and procedure for diffusion-bonding coatings on
steels by a vapor-phase technique in a hydrogen and HC1 medium, determined the thermal stability of
diffusion-bonded layers at various temperatures, demonstrated the effect of diffusion chrome-plating,
vanadizing, calorizing, on the fatigue strength of 45 steel at room temperature and at elevated tempera-
tures, and studied the change in the thermal conductivity of steel coated in any of the ways mentioned.
L. D. Svirskii and N. P. Sobol' performed some interesting studies on refractory coatings on un-
alloyed steels. They were able to produce a coating which offers decisive protection against oxidation
on a long-term basis at 800?C temperature and which forms at a relatively low temperature; this coating
was produced by exploiting the polyalkaline effect and a similar effect occurring when alkali earths are
simultaneously introduced into enamel (ZnO: Ba0= 1:2.8).
E. A. Antonova showed that the strength of cermet coatings on Kh18N9T applied by enameling
techniques is far higher for protection against scoring under dry friction conditions at 20? and 300?C than
the strength of stellite G or stellite Ts. For example, scoring did not appear on the cermet coatings
after 300 cycles had been completed, at 25 kgf0rce/cm2 specific pressure and 300?C, whereas scoring
appears on stellite Ts after, only 100 cycles.
The effect of cermet coatings on the mechanical properties of steels (such as E1415 and EI572L
steels) was discussed in a paper presented by V. N. Fedorov. The tensile strength of EI572L steel was
pushed from 32.2 to 42.4 kg/mm2 at 650?C by applying a cermet coating, i.e., a 25% increase. Tests for
long-term strength at 650?C and u =25 kg/mm2 showed that time to failure in unprotected steel and pro-
tected steel is 124 h and 5090 h respectively. The ceramic coating improved the fatigue strength of the
steel 25% for 107 cycles) and improved the thermal stability four-fold, i,e., it improved the performance
of the steels at elevated temperatures.
A. A. Appen and S. S. Kayalova, by introducing nichrome powder into glass, were able to form a pro-
tective coating on steel which is superior to ordinary enamel coating in impact strength.
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 316-317, October, 1966.
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M.V. Sazonova showed that coatings consisting of MoSi2, SiC, and silicate adhesive, designed for
protection of nonmetallic materials, exhibit excellent thermal stability of 1500?C in air. At the same time
they are quite stable in certain aggressive media, such as boiling solutions of HC1, HNO3, 112SO4, in an
aluminum melt at 800?C, in H2, N2, and in superheated sulfur vapour at 1100?C. Glass-silicide coatings
are stable in an NH3 atmosphere at 1380?C. The external form of the coatings and their microstructure
after protracted tests in these media undergo virtually no change.
Corrosion protection of piping was discussed by N.S. Gorbunov, T.M. Koval'chuk, et al. A coating
which resists corrosion better than coatings applied by vapor-phase techniques was obtained by heat
treating diffusion-bonded wet-process zinc coatings. Piping with exceptionally high corrosion strength
was obtained by diffusion vacuum thermal chromizing.
Reports by N.S. Gorbunov, S.A. Klevtsur, Yu.V. Hrdina, et al. dealt with protective coatings
applied to the surfaces of refractory metals and graphite. Protection of graphite and high-melting metals
is achieved by coating the surface with a scale-resistant refractory compound (MoSi2, SiC, Cr3C, etc.)
Organosilicate materials are widely used in stress measurements for stress coatings, thanks to
recent work by N.P. Kharitonov and colleagues, in protection of structural elements for current sources
operated at high temperatures, for insulating thermoelectrode leads in microthermocouples measuring
temperatures to 1000-1200?C. Thermography, thermogravimetry, mass spectroscopy, gas chromato-
graphy, and other research techniques have enabled N.A. Toropov, N.P. Kharitonov, V.A. Krotikov, et
al. to establish the temperature range of basic transformations occurring in organosilicate materials at
different temperatures (anywhere from 20? to 1600?C). It was shown that polyorganosiloxane molecules
become grafted onto the surface of silicate particles in the fabrication of organosilicate materials, as a
result of mechanical and chemical effects on the system. Organosilicate material acquires a spatial
structure in which the inorganic components are bonded to the polymer base not by Van der Waals forces
but by the formation of chemical linkages (this occurs in the 150-300?C range). Degradation of the frame-
work of the polyorganosiloxane binder occurs at higher temperatures, as do some other processes, which
nevertheless do not bring about mechanical destruction of the material. G. S. Pisarenko, V.E. Gorbatenko,
and L.I. Gotlib provided information on various methods of testing coatings.
A decision was taken at the concluding session to publish the proceedings and to hold an anniversary
All-Union semiiiar on refractory coatings-which will be dedicated to the Fifty-Year Anniversary of Soviet
power, in Leningrad May 1967.
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SEMINAR ON APPLICATIONS OF RADIOISOTOPE TECHNIQUES
AND RADIOISOTOPE DEVICES' IN PROCESS CONTROL AND
MONITORING IN THE PAPER, PULP, AND LUMBER INDUSTRY
V. Sinitsyn
The All-Union Combine Izotop, in collaboration with the Ministry of the Lumber, Paper and Pulp,
and Wood Processing Industries of the USSR, and other organizations, sponsored a seminar in Riga, in
May, 1966, on applications of radioisotope techniques and devices in monitoring and automatic control
of technological processes in the paper and pulp and wood processing industries. The seminar attracted
270 representatives of industrial plants, research institutes, and production and design organizations.
22 reports were delivered, discussing various trends in the use of radioisotope techniques and instru-
ments, certain aspects of radiation chemistry, and experience in the use of radioisotope techniques at
individual plants.
A report on applications of radioisotope techniques and instrumentation in process control and
monitoring in industry was given by V. I. Sinitsyn, engineer-in-chief of the All-Union Combine Izotop.
E. P. Fesenko, representative of the Ministry of the Lumber, Paper and Pulp, and Wood Processing
Industries of the USSR, reported on the positive experience gained in the use of radioisotope devices
at various plants such as the Krasnogorod experimental paper combine, the Yuglavsk paper mill, the
Lignums plywood plant in Riga, the "Riga,' furniture works, and others.
Seminar participants manifested interest in a report by B. Ya. Varshava on shielding techniques
in handling radioactive materials and radioisotope devices, on rules for the proper operation of radio-
isotope facilities, and on storage requirements for radioactive items.
Radioisotope neutralizers for eliminating charges of static electricity in the paper and wood
processing industries were reported on by K. D. Pismannik, F. G. Portnoy, B. M. Kashlinskii, and
E. K. Ventskuz. Some papers discussed engineering data on the RRV radioisotope device designed
for monitoring and control of a square meter of paper and cardboard sheet, and production-line experience
with this device in the paper industry of the Latvian SSR.
V. I. Pankratov told of the outlook for applications of radioactive isotopes and radioisotope tech-
niques in the paper and wood processing industries in the coming half-decade, and cited technical data and
design details of instruments for measuring a square meter of paper and carboard sheet (the RBV-2
instrument).
Representatives of several paper plants shared experiences in using radioisotope weight control
devices (RRV type for one square meter of paper sheet) and other radioisotope devices at their plants.
All of them rated the RRV device very highly, stressing its simple design, ease of operation, reliable
performance, and low cost. Tentative data supplied by the Krasnogorod experimental paper combine
indicate that regular use of the RRV-63 isotope device on a single papermaking machine will save
58, 000 rubles annually.
V. A. Yanushkovskii, director of the Riga branch of the All-Union radiation techniques research
institute, delivered a report on a modularized system of radioisotope relay type gages (the AUS RRP
line). The reporter cited examples of the use of the AUS RRP system in automatic process control and
monitoring in the paper and pulp and wood processing industries.
E. P. Shpalte reported on a device with the combined function of measuring the weight of 1 m2
of paper and cardboard sheet and measuring its moisture, for application in a wide variety of high-
speed paper and cardboard manufacturing machines. A device capable of handling a maximum sheet
widthof 8.5m scans the width of the sheet to sense and measure moisture and weight per square meter.
The device has a built-in computer for calculating the dry weight of the paper and cardboard sheet. The
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,&?
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components of the, instrument . are mounted on the control. panel: of the papermaking. machine they ? service.
Large-size square -meter weight and, moisture - gages can:be mounted ? outboard:
Several reports.. dealt. radiation-chemical processes- in ? the, production. of wood and. plastic
materials V... L. Karpov. mentioned .spme wood-plastic composites made, from inexpensive, grades of
lumber, and. monomers ? which-lshow enhanc.ed ;c ompre s sive strength -and.,hardness., take. up ..water . at. a,
markedly- slow:, rate:, and as ? a . result . are recalcitrant to.. change-. induced by: arnbie tit conditions? The:
rep,orter,:- c comparatiye, characteristics of ordinary:OA mpolifiecilurnber,,
Operating,experience in the- use . of radipisptope- instrumenta..tion: paper. and' pulp, plants;, and, in,
wood; proc.essing. plantq. was nuk.,.
The participants of:the:- seminar: aclopteda. resolution stressing; the, ? important: place, of radipiso-OPP,
tec..hniques,. and. ins tr.unients,. in: the,, solution of automatic: process : control, and rnonitoringproblems,
en-
countered in the ,pape:r anct;pulpapot rimiber7indOstrie?.,.?.
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THE RG-1 GEOLOGICAL RESEARCH REACTOR
Yu. M Bulkin, A. D. Zhirnov, L. V. Konstantinov,
V. A. Nikolaev, I. A. Stenbok, V. S. Lobanov,
and A. M. Benevolenskii
The RG-1 pool type reactor, 5 kW(th), was built as a radioisotope production reactor (producing
isotopes with different half-lives), and is also designed for activation analysis on technological samples
and geological specimens, and for evaluation of the absorbing properties of solids, liquids, and alloys.
New engineering research techniques employing radioactive isotopes can be developed on the basis
of a complex of laboratories housed in a typical RG-1 reactor building (facilities included in the complex
are; a radiochemical laboratory, a laboratory for precision radiometric measurements, the reactor
hall, and miscellaneous specialized rooms).
The RG-1 reactor lends itself to research purposes. There is a choice of several core and
reflector arrangements differing in composition, geometry, or both.
Figures 1 and 2 show longitudinal and transverse cross sections through the RG-1 reactor.
The reactor core, 450mm in diameter and 500mm high, can accommodate as many as 72
graphite-reflected fuel assemblies. The assemblies consists of seven standard rod type fuel elements,
aluminum-clad and lOmm in diameter. The fuel meat is UO2 (10% enrichment), and the critical charge
is 2.6 kg U235
The graphite reflector is assembled from separate aluminum-jacketed graphite blocks. The core
-reflector complex rests on the bottom of the water-filled aluminum vessel. The vessel diameter is
1500 mm and the height is 3500 mm. The vessel is covered on top by a cast iron shield plug 460mm
thick.
The reactor control rod elements are four hollow cylindrical boron steel rods (two scram rods,
one automatic control rod, one manual control rod).
The following accessories are available for experiments; 1) pneumatic rabbit shuttle; two channels
(one for thermal neutron work, the other for fast neutronwork); 2) a centrally placed experimental
channel 39mm in diameter with thermal flux of 1011 neutrons/cm2 sec; 3) an experimental channel on the
core periphery, 39 mm in diameter with thermal flux 6.1010 neutrons/cm2 sec; 4) two channels 72mm in
diameter and four channels 52mm in diameter embedded in the graphite reflector, with thermal flux
2-1010 neutrons/cm2 sec; 5) one experimental channel 72mm in diameter situated in the second row of
graphite reflector blocks.
At 5 kW, the Na24 capacity of the RG-1 reactor with the two core experimental channels charged
with standard capsules (diameter 28mm, height 125mm) filled with saturated NaC1 solution is 120 mCi
(two capsules) in six-hour runs; the Na24 capacity can be stepped up to 290 mCi (six capsules) by using
Na2CO3 solution. The M1156 capacity is 2600 mCi (eight capsules) when saturated KMn04 solution is
employed; the activity of a single capsule can run to 400 mCi.
A special transfer system connecting the headroom above the reactor to the laboratory is
provided for safe and rapid delivery of isotopes or specimens from the experimental channels to the
laboratory; the specimens or isotopes are discharged in specially designed glove boxes where the
specimens can undergo further processing.
A remote-controlled handling grip, transport container, and rotating plug are used to open the
experimental channels and for transfer of irradiated specimens to the reloading and discharge unit;
these operations are carried out underneath the shield slab. A special lead glass viewing window is
mounted on the rotating plug for visual monitoring of the specimen transfer process; the core can be
996
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Fig. 1. Longitudinal section through the RG-1 reactor. 1) Core; 2) graphite
reflector; 3) experimental channel; 4) ionization chamber channel; 5) con-
trol rod channel; 6) reloading and discharge unit; 7) fuel transport contain-
er; 8) shield slab; 9) pneumatic rabbit shuttle; 10) reactor pressure vessel;
11) biological shield; 12) hydraulic seal.
kept under observation while the reactor is in operation, if necessary, and two luminaires are positioned
in the reactor tank beneath the shield slab, for underwater illumination.
The experimental channels with automatic pneumatic devices allow transfer of specimens to the
highest neutron flux zone and back to a receiving vessel.
Planned reactor shutdowns are carried out manually by an operator at the control panel, by
inserting poison rods into the core. The rods can be inserted automatically in a scram situation.
997
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Fig. 2. Transverse cross section (view from above) through the RG-1 reactor facility.
The negative temperature coefficient of reactivity is responsible for ease of reactor self
regulation and intrinsic reactor safety, while the control rod system assures safe and reliable operation.
998
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THE SO-1 NEUTRON BOOSTER
Yu. M. Bulkin, A. D. Zhirnov, L. V. Konstantinov,
V. A. Nikolaev, I. Kh. Ganev, V. S. Lobanov
and B. S. Poppelr
There are many reasons for the recent intensification of interest in neutron boosters, which are
subcritical nuclear facilities. The neutron booster makes its possible to organize activation analysis
studies of isotopes in different materials, liquids, solutions, and other substances. Activation analysis
can be used, as one example, to determine trace impurities of certain elements in semiconducting
materials.
The neutron booster is particularly suited to geological work in prospecting and exploration of
ore deposits, in prospecting and exploration of oil fields and natural gas fields, and in some other
branches of the national economy where neutron fluxes on the order of 107 to 108 neutrons/cm2 sec are
useful in research.
Subcritical nuclear facilities of this type are also capable of meeting various needs in industry
and agriculture, in medical institutions, geological field crews, cases where short-lived radioisotopes
needed in the work are currently expensive or altogether unavailable, as is most often the case.
The diagram shows a longitudinal section through a neutron booster built by the present authors.
A team headed by N. V. Zvonov and T. A. Lopovok has done similar design work on neutron boosters.
The basic physical and engineering parameters of a movable homogeneous solid subcritical SO-1
booster using thermal neutrons are:
Power 0.5W
Effective neutron multiplication factor
Core center peak flux:
thermal flux?
. fast flux:
Thermal flux at experimental devices ? ?
Fuel
Charge (U235)
Uranium enrichment
Neutron moderator
Neutron reflector
Biological shield
Experimental devices
Control
0.996
2.5.107 neutrons/cm2 sec
7.107 neutrons/cm2 sec
107 neutrons/cm2 sec
Uranium dioxide dispersed
in polyethylene matrix
900g
36%
Polyethylene
Graphite-polyethylene
composite
Lead, paraffin with 5%
boron carbide and
water
Three vertical channels
52mm in diameter, one
51 mm diameter hori-
zontal channel equip-
ped with pneumatic
shuttle
65 mCi Po-Be neutron
source; one boron
steel rod
Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 321-322, October, 1966.
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Dimensions;
diameter 2025 mm
weight 4650mm (with reloading
mechanism rod in
extreme position;
rod travel
1360mm)
Weight
in stationary position
in transport position (minus
water)
maximum weight of any one
component assembly
11 tons
8 tons
not more than 2 tons
The core of the SO-1 neutron booster consists of fuel elements shaped as cylindrical disks 270 mm
in diameter. The center of a disk 240mm across is occupied by a uranium-polyethylene mixture, and
the periphery is made of pure polyethylene. Each fuel element is jacketed in a leaktight polyethlyene
film to keep the uranium-polyethylene fuel composition isolated from the surroundings.
The neutron booster core formed of these fuel elements is placed in a specially fabricated aluminum
vessel.
A vertical channel 24mm in diameter is located at the geometric center of the core vessel, and
its function is to hold in place isotope neutron sources
and an absorbing rod rigidly coupled to it.
The multiplying section of the core is surrounded on
all sides by a neutron reflector. The SO-1 reflector is
made of graphite-polyethylene composite to raise the
thermal neutron emission level at points where
experimental devices are positioned. The total reflector
thickness is 150 mm. The first reflector layer, 15mm
thick, is the peripheral polyethelene annulus around the fuel
element. The second reflector layer is graphite 115 mm
thick, and the third layer is polyethylene in aluminum
5 cladding for ease in assembly and dismantling.
All of the experimental devices belonging to the
neutron multiplier are situated in the graphite reflector
zone. This arrangement is due to the presence of a
weakly varying thermal neutron field in this zone. A
special sample loading and unloading device servicing the
vertical experimental channels is mounted above the
-1- 2 biological shield so that samples can be transferred while
the neutron booster is in operation.
A horizontal channel outfitted with a pneumatic
rabbit shuttle is available in the reflector zone for
production of short-lived isotopes. By changing the
direction of flow of compressed gas through actuating a
pneumatic distributor valve, a sample placed in a special
shuttle can be passed automatically along the transfer
channel to the reflector, and, after being irradiated, can
be shuttled back to the receiver. The extreme shuttle
position in the pneumatic tube is fixed by a microswitch.
This sends an electric signal to the control panel, where
a signal lamp is flashed on.
Samples can be irradiated by either thermal or fast
Longitudinal cross section through SO-1
neutron booster. 1) Core; 2) lead shield;
3) paraffin shield; 4) water shield; 5)re-
loading mechanism.
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neutrons in the pneumatic shuttle channel. This is accomplished by using some shuttles clad with
aluminum and the remaining ones clad with cadmium on the inside.
The SO-1 neutron booster is controlled by an operator stationed at the control panel where he has
convenient access to all the necessary monitoring and control apparatus.
The neutron radiation level in the SO-1 critical facility can be varied by remote control from the
control desk by moving the neutron source in the core and with it the absorbing rod rigidly coupled to it
(this operation is done manually with the aid Of a small capstan).
Neutron radiation in the SO-1 facility is meaSured by two ionization chambers placed in the reflector
region in two special sealed suspension Mounts. Two micrOammeters measure the ionizatiOn chamber
currents.
The modular design of the SO-1 neutron booster and its compact size recommend it for use in
practically any heated enclosure suitable for work with radioactive radiations. The air temperature in
the room or enclosure can be from 50 to 40?C at up to 80% air humidity. When required, the SO-1
neutron booster facility can be transported in its entirety on a truck of not less than 10 tons carrying
capacity, or on several trucks of lesser capacity.
Its simple control features, the elimination of any possibility of runaway during operation,
mobility, and , no less important, the ease with which it can be fabricated, give it great promise as a
workhouse tool in many areas of the national economy.
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BRIEF COMMUNICATIONS -
RADIOACTIVE ISOTOPES IN MACHINE-TOOL WORK
V. Sinitsyn
The USSR Ministry of construction, highway, and civil engineering machinery, in collaboration
with the All-Union "Izotop" Organization, sponsored a seminar in Moscow in June, 1966 on applications
of radioisotope techniques and devices in automatic process control and monitoring in the fabrication
and operation of construction machinery, highway machinery, and public works machinery. The seminar
attracted over a hundred representatives of industrial plants, research institutes, and design organiza-
tions. The seminar audience heard 13 reports.
A report by V. A. Nikiforov, representing the Ministry of construction, highway, and civil engin-
eering machinery of the USSR, took note of the use of radioactive isotopes by research organizations
and industrial plants in this branch of industry, a practice which already has a ten-year history. Over
40 plants under the Ministry's jurisdiction are already making successful use of radiation techniques
in their work. A considerable expansion of research work in this area is scheduled for 1966, and plant
operations will be followed up to pinpoint those sectors where installation of radioisotope equipment
could yield impressive engineering and cost benefits.
A report on the status and future outlook of the use of radioisotope techniques and instruments in
scientific research, and in automatic process control and monitoring in machinery design and fabrica-
tion was delivered by V. I. Sinitsyn (All-Union "Izotop").
A. G. SuMin (All-Union Radiation Techniques Research Institute) informed the seminar audience
of new developments in y-ray equipment for nondestructive testing, and experience in y-ray flaw moni-
toring and detection in machine manufacture.
A radioactive tracer study of wear on parts, with measures to lengthen the service life of internal
combustion engine parts, was reported by D. G. TochiPnikov (Leningrad waterworks institute).
G. I. Giltman ("Ekonomaizer" boilerworks, Leningrad) shared his plant's experience in the utili-
zation of radioactive level gases in a foundry pneumatic conveying system which is automated. A. E.
Artes, a representative of the Moscow machine-tool institute , discussed applications for radioisotope
devices in press and die metalworking production.
V. A. Rikhter (All-Union research institute for construction and highway machinery) shed light
on some promising applications of quantity-manufactured radioisotope instruments, in his report en-
titled "Applications of radioisotope techniques and instruments in highway and construction machinery
systems." The reporter mentioned y-ray electronic relay gages of all types, designed to record the
presence or absence of material in the space monitored, and also as tools in automating loading and
discharge of free-flowing materials and fluids. y-ray gages can be used successfully in automated
monitoring of charge level in stone crushing equipment, in automation of movement of materials on
belt conveyor lines, level gaging of material in hoppers and closed vessels of different geometrical di-
mensions and configuration. y-ray electronic conveyor scales can be used in continuous contactless
weighing of non-ore materials on belt conveyors.
V. V. Misozhnikov reported on experience in the use of radioisotope techniques and devices at
the Moscow carburator plant. M. I. Tolokonnikov cited some data on production-line use of radioiso-
tope equipment at the Likhachev automative plant in Moscow.
In their discussion, the participants noted that radioisotope devices are effective tools for raising
labor productivity, cutting down on the number of servicing personnel, and curtailing the amounts of
raw materials going into production.
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Translated from Atomnaya Energiya, Vol. 21, No.4, pp. 325-326, October, 1966.
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Plants were also encouraged to make use of radioisotope devices and techniques in automation and
monitoring of such industrial processes as loading charge in cupola furnaces, distributing molding sands
and molding mixes to appropriate points in foundries, maintaining electrolyte level constant in electro-
plating baths, stocktaking and inventorying, contactless thickness monitoring of nonmetallic materials
in coating processes (coating applies to nonmetallic base), in metal plating and application of paints and
surface coating finishes, continuous weighing and automatic batching of free-flowing bulk materials, and
other applications. Radioisotope techniques and devices have a special role cut out for them in improv-
ing the reliability and lengthening the operating life of earthdigging machinery, in studies of the nature
and degree of wear on cutting edges of tools biting into soils of different classes, and in improving the
design of excavating machinery.
11TH SESSION OF TEAM NO.1, PERMANENT COMMISSION
OF THE COUNCIL FOR MUTUAL ECONOMIC AID
[COME CON] ON PEACEFUL USES OF ATOMIC ENERGY
A. Moskvichev
The 11th session of team No.1 (on nucleonic instrumentation) of the COMECON Permanent
Commission of Peaceful Uses of Atomic Energy was held in Warsaw, April 12-18, 1966.
In accordance fvith the agenda adopted, the Commission discussed specialization in the production
of radioisotope instruments, standardization of methods for testing radioisotope relay-type devices, and
standardization of components in gas-discharge counters.
The following materials were prepared for the regularly scheduled session of the COME CON
Permanent Commission: 1) a list of technical parameters for suggestions on specialization in the fabri-
cation of radioisotope devices, 2) recommendations on standardization of methods for testing radioiso-
tope relay type gages, 3) recommendations on standardization of gas-discharge counter components
(flexible leads, lead caps, coaxial base and socket for connecting up counters), 4) recommendations on
standardization of outer diameters of cylindrical detector units for work with ionizing radiations.
The session also discussed the outline and format of a consolidated catalog of nucleonic instruments
manufactured in COME CON countries. Specialists in the German Democratic Republic will work on
publication of this catalog, in collaboration with the COME CON secretariat.
Translated from Atomnaya Energiya, Vol. 21, No. 4, p. 326, October, 1966.
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ITALIAN POWER REACTOR AND NUCLEAR POWER PLANT
SPECIALISTS VISIT THE USSR*
A delegation of Italian specialists in the field of power reactors and nuclear-fueled power generating
stations visited the USSR May 23 throughMay 29, 1966. The delegation included Professors M. Silvestri,
A. Pedretti, F. Pierantoni, D. Foganogliolo, S. Villani, I. Casagrande, and D. Naschi.
The delegation visited the Obninsk Power Physics Institute, the Atomic Reactor Research Institute
in Melekess, and the I. V. Kurchatov Beloyarsk nuclear power station in the Sverdlovsk district.
The guests were familiarized with the BR-5 fast experimental reactor, the physical critical assem-
bly for investigating the neutron physics characteristics of the BFS line of fast reactors with the BR-1
reactor, and the sodium laboratory at the Power Physics Institute.
At Melekess, the Italian specialists visited the experimental power facility with its VK-50 boiling
water reactor and critical test loop, where many reactor physics studies are in progress.
At the Beloyarsk power station, they visited the central hall, the machine hall, and inspected the
control panel and the health physics monitoring panel.
The Italian scientists had a chance to converse with Soviet scientists and specialists in their fields,
and contributed some interesting information in general discussions on the work they are now conducting
in Italy in power reactor design. The Soviet colleagues also showed interest in the experience accumula-
ted in Italy in the operation of the Italian nuclear power stations Garigliano (river), Trino-Vercellese,
and Latina.
The Italian guests were very much interested in the current fast reactor research in the Soviet
Union, and in future plans along those lines.
BELGIAN AND NETHERLANDS SPECIALISTS ON
RESEARCH REACTORS VISIT THE USSR*
E. Karelin
A delegation of Belgian and Dutch scientists working in the field of nuclear research reactors
visited the Soviet Union in June 1966, under the terms of an agreement arrived at between the USSR
State Committee on Peaceful Uses of Atomic Energy and reactor research centers in Belgium and the
Netherlands. The delegation was headed up by G. Snepvangers.
In the course of their visit, the members of the delegation stopped at the I. V. Kurchatov Institute
of Atomic Energy and the Institute of Theoretical and Experimental Physics in Moscow, the Atomic Reac-
tor Research Institute in Melkess, the Power Physics Institute in Obninsk, the Leningrad Physics and
Engineering Institute, and the Joint Institute for Nuclear Research. The guests inspected the SM-2,
MR, IBR reactors, the "Romashkan facility, and the construction site of the MIR reactor.
The members of the delegation paid close attention to the question of utilization of research reactors
in the USSR, with particular interest in test-loop investigations of fuel elements, and in power reactor
materials. The Belgian and Dutch scientists displayed keen interest in research on fast reactor fuels
and structural materials.
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*Translated from Atomnaya Energiya, Volume 21, No. 4, p. 326, October, 1966.
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Fruitful discussions on various aspects of reactor design, utilization of research reactors, neutron
physics research, and related topics, were held in the course of visits to various reactor centers in the
USSR.
Members of the delegation were deeply impressed by the volume of research in progress at the
SM-2 and MR reactor facilities. They took special note of the rapid progress in construction of ex-
perimental test loops at the MR reactor facility, and the swift pace of construction and rigging work at
the MIR site.
They expressed high Opinions of the redesigned IRT reactor at the Institute of Atomic Energy, and
showed a favorable response to the work going on in the heat transfer laboratory of the Power Physics
Institute.
The advantage in doing away with reactor containthent shells, as is the USSR practice, was stressed
in the discussions. Note was made of the stringent radiation safety requirements, their observance in
all facilities and research centers. The delegation expressed approval of further development in colla-
boration in the field of research reactors arid their utilization.
Iri his remarks at a talk at the end of their stay in the USSR, G. Sriepvarigers, speaking in the
name of all members of the delegation in a reception at the State 'Committe on Peaeeful Uses of Atomic
Energy, expressed great satisfaction with the visit, and took special note of the hospitality of their
SoViet colleagues and of the benefit they gained froth the disctssioris.
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BIBLIOGRAPHY
G.E. Brown. Unified Theory of Nuclear Models. Amsterdam, North-Holland, 178 p, 1964. *
G. E. Brown, a renowned specialist on the theory of the nucleus, now working at the Niels Bohr
Institute in Copenhagen, has written a book based on a lecture course which he has been giving in recent
years in various nuclear physics schools and universities, discussing the various nuclear models from
a unified point of view. The shell model, the collective model with nucleon pairing effects taken into
account, and the optical model are discussed. An extension of the Hartree-Fok method to the theory of
the nucleus lies at the basis of his treatment. Many topics are discussed in this book, and in our view
the author has been successful in getting across the ideas underlying the models of the nucleus enumerated.
The author has shown the way to a systematic application of the concepts of the self-consistent field
expressed in terms of the Hartree-Fok method. Single-particle excitations of the nucleus are discussed,
vibrational degrees of freedom of the nucleus are described, and another topic covered is the ground states
of nonspherical nuclei as constructed by the Hartree-Fok method. Moments of inertia are calculated.
A special chapter takes up pair correlations in nuclei. Finally, the author discusses the optical model of
the nucleus and attempts to sketch out its range of applicability.
The bibliography supplied by the author must be supplemented with references to the innumerable
contributions by Soviet authors on the theory of the nucleus.
On the whole, the book will be a useful reference stating a definite viewpoint on the theory of the
nucleus.
E. N. da C. Andrade. Rutherford and the Nature of the Atom. N. Y., Anchor Books, Doubleday,
218 p, 1964. *
This book, written by one of Rutherford's disciples, is a scientific biography of the founder of the
modern model of the atom. The chronological treatment is combined with a fairly thorough lucid des-
cription of the essence of Rutherford's scientific contributions in different periods of his life. The book
ends with a subject and author index.
The Discovery of Radioactivity and Transmutation. Edited and Commented on by A. Romer.
N. Y., Dover, (Classics of Science, Vol. 2), 234 p, 1965. *
This book is a collection of original papers of Becquerel, Pierre and Marie Curie, Rutherford,
Soddey, and others, published in the 1896-1905 decade. The range of material in this second volume in
1006
* Translated from Atomnaya Energiya, Vol. 21, No. 4, p.327, October, 1966.
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the recently initiated "Classics of Science" series covers the discovery of radioactivity and of families of
naturally radioactive substances. , All the papers are published in English, whatever the original language.
The collection is prefaced by a brief introduction more in the nature of a historical reference. Articles
are accompanied by the necessary scientific commentary. The book ends with a subject and author index.
J. M. Daniels. Oriented Nuclei. Polarized Targets and Beams. N. Y., Academic, XII + 278 p.
1965. *
The seven chapters of this book present a detailed treatment of the present state of the problem of
production of nuclei oriented preferentially in one position (in terms of spin direction). A brief introduc-
tion (Chapter 1) is followed by Chapter 2 on methods of orienting nuclei through thermal equilibrium.
Chapter 3 discusses nonthermal equilibrium methods, and Chapter 4 deals with the requisite experimental
technique (emphasis placed on cryogenic techniques). Methods of producing beams of polarized neutrons,
protons, deuterons, tritons, and y-rays are dealt with in Chapter 5. Chapter 6 describes sources of pola-
rized ions for use in modern charged particle accelerators. The book ends with apparticularly extensive
sectior (Chapter 7) on experiments with oriented nuclei.
Appendices offer a detailed list of literature (covering 16 pages of text), plus a subject index and
authors index.
K. G. Steffen. High Energy Beam Optics. Monographs and Texts in Physics and Astronomy.
Vol. XVII. N.Y., Interscience, 212 p, 1965. *
This review book consists of four parts of approximately equal volume devoted respectively to cal-
culations of the trajectories of individual high-energy charged particles in quadrupole systems (Chapter 1,
42 references), deflecting magnets (Chapter 2, 21 references), multilayered systems and spectrometers
(Chapter 3, 32 references), and the behavior of multiparticle beams in focusing devices (Chapter 4, 34
references). A concise subject index is appended to the monograph.
* Translated from Atomnaya Energiya, Vol.21, No.4, p.327, October, 1966.
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Industrial Atomic Energy Uses, Hazards and Controls Vols. 1-3. N. Y., Rider Publ., Vol. 1, 1965.
Development and Basic Concepts. 142p, Vol. 2. Instrumentation, Biological Effects and Radiation Pro-
tection. 166 p, Vol. 3. Impact on the Community. 116 p.
This-three-volume set is intended for engineers who have no special training in nuclear physics.
The first volume provides information on the development of nuclear power and applications of nuclear
energy in industry and in science. Reactors and accelerators are described in popular style. The second
volume is a manual on radiation shielding. Basic rules for safety, critical exposure levels for personnel,
and radiation control measures are included and explained. The third volume offers the reader data on the
possible effects of a large-scale nuclear facility on the surounding region and proper measures for radia-
tion monitoring and protection. This volume gives special attention to disposal of radioactive wastes from
nuclear reactors. Each volume ends with glossary and subject index. The third volume offers an exten-
sive list of recommended literature.
D. O. Woodbury. Atoms for Peace.t N Y., Dodd, Mead, 276 p, 1965.
This is a book on nuclear power and on various aspects of the utilization of radioactive isotopes,
written by a well-known-American popular science writer.
S. J. Pearson. Spravochnik po interpretatsii dannykh karotazha. Russian translation [of: Manual
for Interpreting Well Logging Data]. Moscow, Nedra press, 414 p. 1966. t
A brief systematic description of modern techniques for oil field and geophysical studies of pro-
files in oil wells and gas wells is given in this book. Chapter 15 gives the reader information on 7-ray
well logging (measurements of natural radioactivity of rock over the well profile), Chapter 16 gives in-
formatio- n on y-y well logging (measurements of scattered radiaition from a Co60 source lowered down
a well with a detector shielded from direct radiation).
Several types of neutron logging methods are outlined in the quite detailed Chapter 17. Chapter 18
cites data on nuclear magnetic logging.
1008
* Translated from Atomnaya Energiya, Vol.21, No.4, pp.327-328, October, 1966.
t Translated from Atomnaya Energiya, Vol.21, No.4,p. 328, October, 1966.
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R. W. Bassard and R. D. Delaner. Fundamentals of Nuclear Flight. N. Y., McGraw-Hill, 454 p. 1965.*
This book is based on a lecture course given by the authors at the University of California, and con-
sists of seven chapters. A short introduction (Chapter 1) describing various principles underlying the
utilization of atomic energy in rocket propulsion is followed by Chapter 2 on the principles underlying cal-
culation of the motion of bodies of variable mass. Heat transfer and mass flow are the subject matter of
Chapter 3. Chapter 4 on physical processes in reactor cores follows. Chapter 5 treats penetrating
radiations and shielding. Chapter 6 gives information on spacecraft materials. Chapter 7 discusses the
design principles of reactors and spacecraft nuclear power plants. Appendices list useful physical con-
stants, tables of Bessel functions, and multigroup constants, for reactor calculations. The book ends
with a subject index.
R. P. Haviland and C. M. House. Handbook of Satellites and Space Vehicles. Princeton, New Jersey,
Van Nostrand, XVI +457 p, 1965.*
The handbook deals with various aspects of the design, building, and shielding of artificial satellites.
Section 8, "The space surrounding the earth," contains information on primary cosmic radiation and the
radiation belts encircling the earth. Section 11, "Spacecraft materials," give data on the radiation stabil-
ity of materials used and on principles for shielding against ionizing radiations. Section 17, "Man in
space," lists values of doses of ionizing radiation responsible for specified biological effects, and critical
tolerance exposure doses based on USAEC rules.
J. J. Scavullo and F. J. Paul. Aerospace Ranges Instrumentation. Princeton, New Jersey, Van
Nostrand, XVI+458 p, 1965. *
This book, one of a series entitled "Design principles of guided missiles," gives a detailed descrip-
tion of the instrumentation on artificial satellites and spacecraft. A brief introduction leads into the
seven basic chapters of the monograph. Chapter 1 contains information on design principles and applica-
tions of the various instruments. Chapter 2 concentrates data on optical systems and photographic tech-
niques. Instruments for telemetering analysis and monitoring of flight performance are described in
Chapter3. Chapter 4 offers the reader exhaustive data on electronic equipment used in measuring the
elements of a trajectory. Methods for processing information are covered by Chapter 5. Chapter 6 dis-
cusses information on telecommunication systems. The concluding Chapter 7 deals with precision in
measurements, when using instruments remote from the observer. A detailed subject index is appended.
* Translated from Atomnaya Energiya, Vol.21, No.4, p.328, October, 1966.
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Space Exploration and the Solar System! Proceedings of the Enrico Fermi International School of
Physics. Course XXIV. Edited by B. Rossi. N. Y., Academic, 312 p, 1964.
This book constitutes the complete text of a lecture course on space physics given and published at
the famous Enrico Fermi International School of Physics in Italy. In addition to a brief preface by
B. Rossi, organizer of the course, the book publishes nine papers by front-rank investigators. The first
two papers give an introduction to plasma physics and a mathematical description of the motion of charged
particles in a magnetic field. The next three papers provide information on the structure of the inner
planets in the solar system, on phenomena occurring in the photosphere, chromosphere, the solar corona,
and in the interplanetary medium. A paper by J. Van Allen, written in collaboration with V. Lean, on
results of observations of solar cosmic radiation from October 1959 through February 1961, with the aid
of the Explorer VII satellite, takes up a lot of space. The two last sections of the book contain lectures
on the atmospheres and high-energy emissions of the moon and of the other planets in the solar system.
Space Exploration.t Edited by D. P. Le Galley and J. W. McKee. N. Y., McGraw-Hill, 468 p, 1964.
This is a consistent treatment of physics and engineering problems to be resolved in conquering
outer space. It consists of 15 chapters written by a panel of specialists. The monograph opens with a
chapter on the scientific and engineering results of artificial satellite launchings and space rocket
launchings in the USA and the USSR. The second section surveys cosmology and relativity briefly and
lucidly. Data on the earth's nearest planetrary neighbors, Mars and Venus, appear in Chapter 3. Chapter
4 on the effects of solar flares on the radiation environment of the earth and on radiation in interplanetary
space is of special interest. Astrodynamics, including orbit calculations and navigation problems, are
covered in Chapter 5. Spacecraft control and maneuvering are covered later on (Chapter 6), followed by
a survey of the conditions confronting humans inhabiting a restricted closed space (Chapter 7). Orbit
maneuvers (including rendezvous and docking maneuvers) are described in Chapter 8. The reader will
find a description of how meteorite hazards are analyzed in Chapter 9. Materials selection problems in
designing a heat-stable casing for space vehicles and for re-entry, a problem of unusual complexity, is
given close attention in the extended Chapter 10. Concise information on radiation shielding of space
vehicles to handle ionizing radiations is foundin Chapter 11, and information on propulsion nuclear re-
actors is found in Chapter 12. Scientific problems resolved with the aid of artificial satellites and space
rockets are considered in detail in Chapters 13-15. The book ends with a list of symbols and notation,
plus a copious index of subjects and authors.
1010
Translated from Atomnaya Energiya, Vol.21, No.4, p.328, October, 1966.
Translated from Atomnaya Energiya, Vol.21, No.4, pp. 328-329, October, 1966.
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Space Research, V. Proceedings of the Fifth International Space Science Symposium. Edited by
D. G. King-Hele et al. Amsterdam, North-Holland, 1248 p, 1965. *
The book contains the proceedings of the V international conference on space research convened by
COSPAR (international committee on space research) in Florence, in May 1964. A review lecture by
B. Rossi (USA) on x-ray astronomy and 7-ray astronomy is followed by the texts of the 154 papers, dis-
tributed over 12 sections. All the papers appear in English, no matter what the original language, but
some of them have abstracts in Russian. The first section, "Interaction of high-energy particles with
the atmosphere," contains 17 papers; the second section, "Ionospheric processes and anomalies," contains
13 papers; the third section, "Effect of high-energy particles on polar aurorae,7 contains 10 papers; the
fourth section, "Radiation belts," contains 16 papers; the fifth section, "Solar radiation and the inter-
planetary medium," contains 15 papers; the sixth section, "The ionosphere," contains 13 papers; the
seventh section, "Structure and composition of the atmosphere," contains 15 papers. Three reports on
galactic x-ray astronomy appear in section 8. The next sections on observation and dynamics of satellites
offer ten and eight papers respectively. Section 11 gathers together miscellaneous papers (21 in all) not
particularly related in subject material, and touching on some phase of IGY research. In this case atten-
tion is centered on the results of ionosphere observations and on studies of the earth's environment.
Section 12 on studies of upper-lying layers of the atmosphere with rocket-borne and satellite-borne equip-
ment contains 13 papers. A HSI of authors is appended.
Scientific Research in Space. (Eight lectures delivered at the University of London). London,
Elek Books, 194 p. 1964. *
Here we have a lecture course given by leading British specialists at the University of London.
The first lecture formulates the basic problems to be resolved through launching artificial earth satel-
lites and space vehicles, and a brief description of appropriate techniques and means is included. Instru-
ments mounted on board satellites are discussed in the second lecture. Then follows a lecture on orbits
of artificial bodies near the earth and the moon, and between planets of the solar system.
A good deal of factual material is provided in the fourth lecture, on the earth's atmosphere (above
and below 120 km above sea level). The fifth lecture analyzes the effect of solar electromagnetic radia-
tion on the earth's ionosphere. Corpuscular space radiation and the interplanetary medium are discussed
in the rather detailed sixth lecture. The moon and the planets are tented in the seventh lecture, which is
as detailed as the sixth. The list of literature for these lectures (articles in the periodical literature for
the most part) lists 25-27 titles. The book ends in a lecture on astronomical observations carried out
on artificial satellites.
*Translated from Atomnaya Energiya, Vol.21, No.4, p.329, October, 1966.
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Space ... The New Frontier.* Washington, National Aeronautics and Space Administration, '74p, 1964.
This NASA brochure, a popular science approach, is richly illustrated with both black/white and
color photographs. There are 10 sections in the album; 1) space research and society; 2) history of space
flight; 3) the solar system; 4) artificial satellites; 5) unmanned artificial satellites; 6) unmanned space
vehicles for lunar exploration, and interplanetary probes; 7) manned space vehicles; 8) rocket vehicles;
9) biological space research; 10) space research techniques.
The book ends with an extended glossary of terms used in astronautics and aeronautics.
Space Radiation Effects.* (Presented at the 66th Annual Meeting of the Amer. Soc. for Testing and
materials). Phila., ASTM Special Technicial Publication No. 363, 158 p, 1964.
The book contains the texts of papers and stenographic records of discussions at a symposium on
the effects of space radiation on various materials; the symposium was held in June 1963; in Atlantic City.
Twelve papers are grouped in two sections: a) space radiation and methods of simulating space radiation
under experimental conditions; b) effects of space radiation on components and systems. The second
section centers attention on radiation damage to semiconductor detectors and transistor circuitry.
The Science of Ionizing RadiationJ Edited by L. E. Etter. Springfield, Illinois, C. C. Thomas, 788 p,
1965.
The book consists of articles by leading specialists in different lines of work, and is published in
the form of an encyclopedia designed to offer a general impression of advances in practically all fields of
utilization of ionizing radiations. The volume contains 14 sections, each of which offers up to three articles
of somehow related subject material: 1) historical reviews; 2) equipment; 3) radiation physics; 4) photo-
graphic recording techniques; 5) chemistry; 6) radiobiology; 7) application of ionizing radiations to the
human organism; 8) applications in industry; 9) crystallography; 10) paleontology and archaeology; 11) an-
thropology; 12) radiography and graphic images; 13) applications in agriculture; 14) radiation shielding,
The book is liberally illustrated with drawings, graphs, and photographs. Appendices offer a generous
subject and name index.
1012
* Translated from Atomnaya Energiya, Vol.21, No.4, p.329, October, 1966.
1* Translated from Atomnaya Energiya, Vol.21, No.4, pp.329-330, October, 1966.
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Chemical Oceanography. Vol. 1. Edited by J. P. Riley and G. S. Harrow, New York, Academic,
712 p, 1966. *
The first and fifth parts of this book contain data on the concentration of naturally radioactive ele-
ments in ocean water, and chapter 7 ("Dissolved gases') contains some information on radiocarbon in-
cluded in CO2 dissolved in water.
J. H. Lawrence, B. Manowitz, and R. S. Loeb. Radioisotopes and Radiation. (Recent advances in
medicine, agriculture, and industry). N.Y., McGraw-Hill, kII+134 p. 1964. *
This book, written by prominent American specialists in nuclear energy and applications, consists
of a brief foreword and eight chapters. Chapter 1 describes research on medical \diagnostic8 involving
radioisotope techniques, in detail. Chapters 2 and 3 take up results of the application of ionizing radia-
tions in medical therapy and veterinary science. Chapter 4 acquaints the reader with applications of
radioactive isotopes and radioactive radiations in agriculture. Chapter 5 is devoted to radiation-indueed
sterilization of foodstuffs and medical instruments. The synthesis of chemical compounds is the subject
of Chapter 6. Results of investigations on ionizing radiations and their applications in radiography, thick-
ness measurements, analysis of wear, and other areas are concentrated in Chapter 7. The book ends
with Chapter 8, on the utilization of radioactive isotopes in hydrology and in criminology. The monograph,
along popular science lines, is splendidly illustrated with photographs.
Obmen radioizotopov v zhivotnom organizme. [Radioisotope turnover in animals]. Proceedings of
the Institute of Biology of the Ural branch of the USSR Academy of Sciences, No. 46. Sverdlovsk, 160 p.
1966. *
This collection of 13 papers discusses various aspects of the metabolism in ingestion of radioactive
materials by animals Various pathways for the introduction of isotopes (intravenous, subcutaneous,
intraperitoneal, orally, through the lungs) are considered, as well as the effect of a variety of physiologi-
cal (age, sex, species, diet, hormonal activity, etc.), chemical, and physico-chemical factors (complexons
[sequestrating agents], diuretics, sorbing colloids, cation exchange resins, etc), on metabolism *here
radioactive materials are ingested, are studied. Experiments performed on an unseparated mixture of
fission fragments of uranium, cesium, strontium, yttrium, cerium, zirconium, niobium, ruthenium, the
whole range of rare earths, and plutonium, are described. Mice and rats were the experimental animals
in this study.
* Translated from Atomnaya tnergiya, Vol.21, No.4,p.330, October, 1966.
1013
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ivi.u. Eamen. A Tracer Experiment. N.Y., Holt, Rinehart, & Winston, 128 p, 1964.
This book is written in popular science style by a leading American specialist in radiometry, the
author of the fundamental monograph "Radioactive isotopes in biology."
Nuclear Safety Research and Development Program (Summary Report). Washington, USAEC, 170 p,
1964. *
This report comes in five parts. A brief introduction leads into a detailed description of findings
in a series of experiments studying reactor kinetics at SPERT type facilities, chemical reactions between
metal and water, fission product yield from molten fuel, and testing of containment shells in simulated
accidents involving total coolant loss. The third part gives the reader information on testing of reactors
of the KIWI series and on the SNAPTRAN experiments simulating re-entry of radioisotope generators
into the earth's atmosphere from outer space.
The fourth section contains brief reports summing up work in reprocessing, disposal, and burial
of radioactive wastes in a variety of physico-chemical states. The last part analyzes the reasons and
consequences of pressure vessel failure in simulated nuclear reactor safety experiments. The report
is liberally illustrated.
Operational Accidents and Radiation Exposure Experience. Washington, USAEC, V+155 p, 1965. *
This report contains five chapters. The first chapter briefly runs through USAEC principles for
organizing safety research, the second lists definitions of terms in use in the subsequent text. Chapter 3
offers ample statistical data on the causes of accidents which have occurred anywhere in the country and
in USAEC plants. Chapter 4 systematizes this material from the standpoint of damage to materials
and plant. This chapter also presents detailed tabular data on major accidents occurring in the USA in
the 1963-1964 period, and information on supercriticality accidents in USAEC facilities. The short
Chapter 5 contains information on USAEC plants distinguished by long-term accident-free operation.
Appendices give information on all mortalities and overexposures (>15 r) suffered in the USA in radiation
work.
1014
* Translated from Atomnaya Energiya, Vol.21, No.4, p.330, October, 1966.
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Biological Effects of Magnetic Fields. Edited by Madeleine F. Barnothy, N.Y., Plenum Press,
324 p., 1964.
Reviewed by Yu. V. Sivintsev
Written by a large panel of specialists (31 authors in all), this book offers a consistent presentation
of topics pertaining to biological effects of magnetic fields. The first part of the book analyzes these
phenomena theoretically. A voluminous introduction is followed by a description of simple theoretical
models of the interaction between a magnetic field and biological structures (Chapter 2), and the basic
concepts applying to magnetic fields and magnetic susceptibility (Chapter 3). The short Chapter 4,
presents data on the vectorial nature of the magnetic field and magnetic field gradient, and the possible
application of these concepts to biomagnetic experimentation in space flight. Relationships between the
magnetic field and rates of chemical reactions, and the role played by this effect in biomagnetism, are
taken up in Chapter 5. The short Chapter 6 considers variation in chemical bond angle in response to
applied magnetic fields. The possible effect of magnetic fields on the genetic code is analyzed in
Chapter 7.
The second part of the book collects, and discusses critically, experimental data on the effect of
high magnetic fields on experimental animals in vivo. In Chapter 1 of part two, the reader finds informa-
tion of young mice, and in Chapter 2 information on the inhibition by a magnetic field of malignant tumors
transplanted in mice; in Chapter 3, information on magnetogenic hematological changes in mice.
Chapter 4 briefly presents some particularly interesting information on reduced mortality in animals
exposed to ionizing radiations when they are exposed first to the effects of magnetic fields. Chapter 5
considers this effect in connection with the prolonged lifespan of animals suffering from malignant
tumors and so treated, and Chapter 6 deals with tissue regeneration and wound healing in magnetically
treated animals. Chapter 7 goes into particular detail on magnetic-field effects on drosophila flies and
on sarcoma tumor cells, and the possible mechanisms at work in these reactions. Detailed material
on magnetotropism can be found in Chapter 8. The next section (Chapter 9) analyzes experimental data
on the relationship between plant growth rate and magnetic field strength. Chapter 10 offers a brief
resume of data on magnetic field effects on the central nervous system. Part II concludes with Chapter 11,
which describes experiments on survival of various animal species in magnetic fields of 140,000 Oe
intensity.
Part III presents material on the effects of strong magnetic fields on biological objects in vitro.
Respiration of tissues (Chapter 1), agglutination of human blood stream erythrocytes (Chapter 2), inhibi-
tion of bacterial growth in paramagnetic fields (Chapter 3) and in homogeneous fields (Chapter 4), stepped-
up chemical activity of intact trypsin (Chapter 5) and of partially inhibited trypsin (Chapter 6), are dis-
cussed.
The fourth part of the book publishes information on the biological effects of very weak magnetic
fields: Chapter 1 on the orientation of animals with respect to magnetic lines of force, Chapter 2 on a
possible relationship between the "magic wand" (the Dowser) of underground water diviners and weak
magnetic field gradients, and Chapter 3 on proposed mechanisms operative in the navigation of
migrating birds.
The bibliographical section (part five of the book) occupies 15 pages of text in great detail. The
literature cited is grouped by topics in several sections. The monograph ends in notes of information
on the authors and a detailed subject index.
Translated from Atomnaya Energiya, Vol.21, No.4, pp.330-331, October, 1966.
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Physical Processes in Radiation Biology. Edited by L. Angenstein et al. New York, Academic
378 p. 1964. *
Reviewed by Yu. V. Sivintsev
The book publishes reports given at the May 1963 international symposium on the subject at the
University of Michigan. Most of the volume is taken up by 20 review papers prepared by leading specia-
lists in biophysics and radiobiology. The thematic content of these papers is quite broad: from primary
processes of absorption, excitation, and transfer of energy in solids to scintillation properties of liquids
and the photodynamic effects in biological systems. The last part of the book consists of a stenogram of
a general discussion at the symposium. The book ends with subject index and authors index.
Radiation Accidents and Emergencies in Medicine,Research, and Industry. Edited by L. H. Lanzl,
J. H. Pingel, and J. H. Rust. Springfield, Illinois, C. C. Thomas, 328 +XIV p, 1965. *
Reviewed by Yu. V. Sivintsev
This volume contains the proceedings of a symposium on radiation accidents in medicine, science,
and industry held under the auspices of the North American Society for RadiationiSafety, in Chicago,
December 1963.
A brief introduction leads into the texts of 28 papers grouped in eight sections: accidents involving
ionizing radiations or radioactive materials (2 papers); initial operations in accidents (4 papers); first
aid to accident victims (4 papers); deactivation of buildings and equipment (4 papers); special problems:
radiation monitoring, dosimetry, allowable radiation levels (4 papers); administrative problems in radia-
tion accidents (4 papers); governmental services and regulations (4 papers), and ethical problems (2
papers). The book ends with detailed subject index and an authors index.
Radioactivity in Man. Proceedings of second symposium sponsored by Northwestern University
Medical School and American Medical Association. Edited by GR. Meneely and J. M. Linde. Springfield,
Illinois, C. C. Thomas, 616 p+48 p. *
Reviewed by Yu. V. Sivintsev
This book contains the proceedings of the II interamerican (actually international) symposium on
methods for measuring activity in the human body and the effect of y-ray emitters deposited in the human
body on the health of the organism. The book comprises eight sections, the first of which includes a list
of participants and introductory remarks by the chairmen of the 17 symposium sessions (48 pages). The
basic content of the book consists of 44 papers distributed over seven sections: instruments, techniques
for measurement and calibration (13 papers); composition of body tissues and potassium content (7 papers);
1016
*1Translated from Atomnaya Energiya, Vol.21, No.4, p.331, October, 1966.
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cobalt metabolism (5 papers); iron metabolism (4 papers); miscellaneous topics (3 papers); fission frag-
ment metabolism (9 papers); social and industrial aspects of deposition of radioactive isotopes in the
human body (3 papers). Illustrated with a large number of graphs and photographs, the book ends with
a list of authors (10 pages) and a systematic subject index (21 pages).
Proceedings of Conference on Mechanisms of the Dose Rate Effect of Radiation at the Genetic and
Cellular Levels.* Oiso, November 4-7 1964. Osaka, the Genetics Society of Japan, 280 p, 1965.
The book presents 19 papers by Japanese and American radiobiologists delivered and discussed at
?
the November 1964 conference at Oiso (Japan). Results of investigations on plants, drosophila, sperma-
togonia of mice and mammalian cells, with x-rays, y-rays, and neutrons, are reported. The quantitative
criteria studied are such factors as inactivation of bacteria, chromosomal aberrations, survival rate of
spermatogonia populations, recovery of the entire organism from radiation injury, etc. A list of partici-
pants, the conference agenda, and a resolution adopted are appended to the text. The most timely scien-
tific research on the mechanism at work in the effect of the dose rate of ionizing radiations at the gene-
tic and molecular levels is pointed out in the resolution adopted.
Handbuch der medizinischen Radiologie.t Band 1, Teil 2. Physikalische Grundlagen und Technik.
[Handbook of Medical Radiology. Volume 1, part 2. Physical Fundamentals and Techniques]. Berlin,
Springer Verlag, 346 p, 1965.
This is a basic handbook forming part of a multivolume edition handbook series on medical radio-
logy, prepared and compiled by a group of prominent German specialists in x-ray techniques and radio-
logy. The monograph comprises three large sections: 1) methods for generating x-radiation (84 pages);
2)methods for generating ultrahard x-radiation (40 pages); 3) techniques for medical utilization of x-radia-
tion (200 pages). Each of these sections is generously illustrated with photographs and appended with a
list of recommended literature. Detailed indexes of authors and subjects are accompanied by a German-
English glossary of terms employed in the text.
* Translated from Atomnaya Energiya, Vol.21, No.4,pp.331-332, October, 1966.
f Translated from Atomnaya Energiya, Vol.21, No.4,p.332, October, 1966.
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G. J. Plaatz. Medical X-Ray Technique. Eindhoven, Philips Technical Library, X11+484 p, 1965.*
The third edition of this handbook is extensively revised and expanded. In this new edition corn--
presing 24 chapters, a slight appendix, and a detailed subject index, the first two chapters deal with the
design and varieties of x-ray tubes, and the third chapter covers the properties of x-radiation. Methods
of forming projections and laws governing them are discussed in Chapter 4. The fifth chapter presents
information on the perception of detail in an x-ray plate or image. Methods for improving acutance and
contrast are analyzed in Chapters 6 and 7. Qualitative characteristics of fluoroscopic screens and x-ray
photographic emulsions are coveredin Chapter 8.
The next chapter presents recommendations on photographic laboratory and plate development tech-
neques and equipment. Irradiation is discussed in detail in Chapters 10-12, and general and special
radiographic techniques in Chapters 13 and 14. Equipment for diagnostic plates is described in Chapters
15 and 16. Information on biological effects of irradiation can be found in Chapter 17. The next sections
deal with general problems of dosimetry (Chapter 18) and concretely x-ray dosimetry (Chapter 19).
Different methods in the therapeutic use of x-radiation take up 3 chapters, covering exposure of super-
ficial layers of the body (Chapter 20), depth exposures (Chapter 21), and contact exposure (Chapter 22).
Chapter 23 furnishes information on therapy by means of radioactive substances, and Chapter 24 deals
with radiation hazards and measures of protection taken when using x-radiation for diagnosis and therapy.
The appendix lists data on image brightness enhancement and on applications for television in x-ray work.
1018
Radioactive Fallout, Soils, Plants, Foods, Man. Edited by Eric B. Fowler. Amsterdam, Elsevier,
Publ. Co., 318 p, 1965.
The 11 chapters of this book trace the path of intake of radioactive materials originating in nuclear
weapons tests into the human organism. The first chapter characterizes contamination of the biosphere
of uranium fission fragments (predominantly Sr90 and Cs137). The next two chapters deal with these same
emitters in soils: Chapter 2 considers the ion exchange properties of soils with respect to Sr90 taken up
by plants, and Chapter 3 deals with general interrelations of soils, flora, and radioactive isotopes.
Chapters 4 and 5 discuss pathways of intake of radioactive materials through the roots or foliage of
different plants. These chapters contain a wealth of factual material and supply extenisve bibliographies
(78 and 72 titles, respectively).
The book focuses particular attention on the results of investigations of foodstuffs. Four chapters
are reserved for this point. Chapter 6 presents a broad survey of work on the content of naturally radio-
active substances in food products (212 references). Chapter 7 offers data on radioactive contamination
in milk, and Chapter 8 deals with the influence of various transfer mechanisms on radioactive contamina-
tion. Chapter 9 contains a review of information available on the ingestion of radioactive materials into
the human organism from consumed foodstuffs (141 references). Chapter 10 on radioactive substances
present in the human body is quite detailed and informative. The book ends with Chapter 11 on methods
for measuring trace quantities of fission fragments in different samples. A glossary and subject index
are appended to the text.
* Translated from Atomnaya Energiya, Vol.21, No.4, p.332, October, 1966.
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? '' I
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5
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1,, 5
RUSSIAN TO ENGLISH
,cloolist-transiator
, , ., ,.
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Immediate openings are available in the following.
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STUDIES OF
NUCLEAR REACTIONS
),
"trudy" Volume 33 of the
Lebedev Physics Institute Series
Edited by Academician D. V. Skobellsyn_
Director, Lebedev Physics Institute
Academy of Sciences of the USSR.
Translated from Russian'
Contains nine ai-ticles prepared by leading
research workers, at the Lebedev Physict
Institute, one of the largest research centers
of the Soviet Union, on such topics as the
elastic scattering of charged particles on
some light nuclei, interactions of protons
and- tritium, and inelastic scattering of neu-
trons on light and medium_ nuclei. Other
, articles del with quantum mechanics, and
? the theory of particle interactions, scatter-
ing, and nuclear reaciions
CONTENTS: Investigation of the interaction Of protons
with tritium at energies below the threshold of the
(p,n)-reaction, A. B. Kurepin ? Investigation of elastic
scattering of charged particles on several li6ht nuclei
- ? _
at low energies; Yu. G? Balashko ? Analysis of the p?T
interaction above the threshold of the T (p,n) He3 reac-
. tiOn, Yu. G. Balashko and I. Ya. Bent Investigation of
inelastic scattering of 14 Mev neutrons on light and
? medium -nuclei, a A. Benetskii ? Theory of nuclear
reactions and the many-body problems, G. M. Vagra=
doV,? Quantum-mechanical fundamentals of the theory
of nuclear reactions, V. I. Serdobaskii ? On the phases
of _the elastic n=d-scattering process, V. N. Efimov
and S. A. MyachkOve ? Method of time correlation func-
tions in the description of the interaction of various
particles with a complex system, and Its aPpliciations,
M. V. Kezarnovskil ? Some possible ways of Increasing
- the yield of nuclear reactions, L, N. Katsauiciv.
222 pages 1966 $22.50.
87
87 ill., 28 tables
Previously Published in the Lebedev Physics Institute series:
,
Volume 25: Optical Methods of Investigating
-Solid Bodies -
188 pages 1965
$22.50
Volume 26: Cosmic Rays
254 pages 1965 $27.50 '
Volume 27: Research in Molecular Spectroscopy
205,pages ? ? 1965 ?' $22.50.
iri preparation: .
Volume 28: Radio Telescopes
173 pages ? 1966
$22.50
? ,
Volume 29: Quantum Field Theory and Hydrodynamics -
Approx. 240 pages 1967 " $0.50
Volume 30:-Physical Optics
Approx. 250 pages 1966 , $27.50
Volume 31: Quantum RedlophYsics
Volume,32: Plasma Physics
Volume 34: Photomesiinic and Photonuclear Processes
Volume 38: Photodisintegration of Nuclei in the
) Giant Resonance Region
Volume 37: Electrical and Optical Properties '
of Semiconductors -
OF INTEREST TO: nuclear physicists and theoretical
and mathematical physicists investigating nuclear in-
,
, teractions:
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