SCIENTIFIC ABSTRACT FISHER, I.Z. - FISHER, I.Z.

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• Collection: Scientific Abstracts
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• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT


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the 114M(MM Plu
StAffily of
toty of the. cryibillization eurre. -F_~,svjtit.
7h. ikiper, tear. Fir., 28, No. 4, 4147-51 (19,'6) 1 n
Russian.
The empirical tile of Shn-n ISimoll, RuhLnialin and
Edwards, Z. &-x, Oem. B 6, 331 (1930)] r, ti, (T) -
-A + YM for deterinining the pvcssurz u(mig (ho
line of fWAOrt of simple substances ii develop"I from
the theory of tne limit of stability (&cc rrc:cdinq
abstract). The comparison betAven txpcriment and
theory shows th;it the model accepb-d can ixi used in
the fint approximallon to describe the proportjt:3 ot
the fusion turvt of.-c;l liquids. V. IA"IMON
-lip
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USSR/Atomic and Molecular Physics - Statistical Physics, Thermodynamics, D-3
Abst Journal: Referat Zhur - Fizika, No 12, 1956, 34346
Author: Fisher, 1. Z.
Institution: None
Title: On the Ratio Between the Stability Criteria of S. V. Tablikov's Homogeneous
Phase and Ours
Original Periodical: Zh. eksperim. i teor. fiziki, 1955, 29, No 6, 884
Abstract: It is indicated that the crystallization criterion given in an article by
the author (Referat Zhur - Fizika, 1955, 21504) agrees with the criterion previously
obtained by S. V. 'jablikov (Zb. eksperim. i tekhn. fiziki, 1947, 17, 386). The
author admits that his statement concerning the inconsistency of S. V. Tablikov's
criterion of liquid stability was in error.

I S4 e_q, 1-7-
SUBJECT USSR / PHYSICS CARD 1 / 2 PA - le66
AUTHOR KARPMAN9T.I., VISER,I.Z.
TITLE On the AnnihilatAn of Fo-sitrons in Metals.
PERIODICAL Dokl.Akad Naukj 111, fasc.6j 1212-1214 (1956)
Issued: 195T
The present work shows that the correct computation of the life of a positron
annihilated immediately on free electrons leads to a fully satisfactory agree-
ment with experimental data. However, the production of a positron in a metal
is very improbables The presence of numerous free electrons must cause strong
screening of the COULOMB field of any positive charge i~8roduced into the
metal. For a positron that lives in the metal for-v lo- seo, screening may
be considered to be equilibrium-like. In a metal the production of a positron
such as it exists in the vacuum in impossible. Besides, the bound states of an
electron in a COULOMB field, that is so strongly screened, are probably en-
tirely impossible. Therefore the annihilation of the positron without produc-
tion of a positronium probably takes place immediately on one of the free elec-
trons. The possibilities for the annihilation of the positron on the electrons
of atomio rests can be neglected. As the slow electrons play the most important
part on the occasion of the annihilation, interaction between the electron and
the positron must by all means be taken into account and this interaction can
approximatively be considered to be purely COULOMB-like. By taking this inter-
action into account we obtain the following annihilation cross section:
cr - (2x2 r2a2a/v2) I - exp(-(2xmc/v))] -1 1 a - 1/127. However, the exponent in
0 1

Dokl.Akad.Nauk.111, fase.6, 1212-1214 (1956) CARD 2 / 2 PA - 1866
this formula is infinitely small even if v is equal to velocity of the elec-
tron on the PERVI surface. Therefore it holds that
6 - 2a(lxr0c/v)2 - 243(X t/mv)2. Here m denotes the true mass of the electron.
The probability of the annihilation of the positron within the time limit on
electrons which, in infinite, have velocities of from v to v + dv, amounts to
3 -~'
dw - (a4).2(e-12s~ )3 d Vp whorl' ; denotes the effective mass of the elec-
tron. In the case of the spherical FRMI surface, and if xL depends only
slightly on velocity, w a (Q3 3/t m2)v2 is obtained for the total probabil-
0
ity. Here v 0 denotes the velocity of the electron on the FERMI surface. If, for
the concentration of the free electrons N 22 is put, one obtains for the
life of the positron in the metal T - 5,0(m 5/3 y. -2/3. 10-10 see. Withe, m
and Ir - 5 we obtain -r - (1-2).10-10 see, which agrees with experimental data.
For the numerical illustration of this result data for N and r found by
GINSBURG are given.
INSTITUTION: Pedagogio Institute, Minsk
White Russian State University "V.I.LLTIN"

46-2.?2/23
AUTHOR: Fisher, I.Z.
TITLE: On the molecular theory of sound velocity in liquids.
(K molekalyarnoy teorii skorosti zvuka v zhidkostyakh)
PERIODICAL: "AkustjohesIdZ Zhurnal" Journal of Acoustics), 1957,
Vol-3, No.2, pp. 206-207 ~U.S.S.R.)
ABSTRACT: The author-presents the mathematical analysis of deter-
mination of the sound Velocity from the molecular character-
istics of the liquid for one particular case, which he thinks
may be of interest. He considers a one-dimensional model of
the liquid. pq T, I are the dimensional pressure, the
absolute temperature and the mean inter-molecular distance,
respectively. 4(x) is the field of forces acting between two
adjacent particies. Then, as shown in (1) the problem of
statistical the=odynamics can be solved exactly and the
expression for the sound velocity derived as eq.(4). Even for
~ one-dimensional space this expression is very complex. For
~ real three-dimensional case, the expression for the velocity
of sound becomes much more complex, but is reduced to very
simple ones for the limiting cases: T --:P 0 or T -p ()o
Card 1/2 For T---')W the equation (following (1)) (8) is derived,
which corresponds to results obtained by many authors for a
3-dimensional model. Unfortunately, as may be seen, the

hr'.2-22/23
On the M0100ular theory of sound velocity in liquids.
(Cont.)
eq. (8) can be applied only to a crystal at zero absolute
temperature and camot--be applied to a liquid. There are
2 references, 1 of which is Slavic.
ASSOCIATION: The Byelo-Rassian State University.
(Beloxusskiy Gosudartsvennyy Universitet)
SUBMITTED: January 18, 1957.
AVAIIABLE: Librwy of Cougmes
Card 2/2

AUTHOR: Fisher, I.Z.
-------------
TITLE: Oix sound propagation in the
anenii zvuka v kriticheskoy
46-2-23/23
critical point. (0 rasprostr.-
tochke)
FEBIODICAL: '1AkusticjLeskiv Zhurn 111 (Journal of Acoustics), 1957,
Vol-3,,No.21 p,20B (U.S.S.R.)
ABSTRACT: The author seeks the practical explanation of the
behaviour of ultra-sound near and at the critical point which
is nat as yet fully explained as far as the velocity and
absorption are concerned.
He considers the critical point K and the criticaladiabate
AKB on the p - (7 plane (Fig.1). The curve CIKDI will
define the absolutely unstable region, the curve CKD is the
equilibrium liquid-gas line. Assuming plane compression viavesq
propagating in the state corresponding to point K I the state
of the substance will vary along a section of the adiabate KA.
If the wavie approaches from the A direction, the derivative
is finite and no singularity occurs. If a depression
Csr,j 1/3 wave propagates, it would do so into the region below t1je two
curves, which formally, because of the construction method of

46-2-23/23
on sound propagation in the critical point. (Cont.)
the adiabatic curve, does not correspond to any real state of
the substance. The system within the depression wave will
undergo transitions from the gaseous to liquid phase alone;
lines KC and ED and the behaviour of the decompression wave
will depend on its amplitude. For very small amplitudes, the
state of the system will change along the tangent at point K
and Z and velocity will be zero. The depreSSIOn wave
_V9.
cannot propagate at the critical point-and when a harmonic wave
is generated into the system the critical point acts as an
"acoustical diode".
For very small but finite amplitudes, the depression'wave
propagation would be possible but-its velocity would be veW
small and nearly equal to that of the pressure wave, so that
harmonic wave will propagate along very short complex paths,
exhibiting, from the start, discontinuities. In the critical
point the sound wave has the character of a shock-wave for any
amplitude. The period of discontinuities is very small, of the,
order of a few periods and the effect of absorption is no 4- ice-
Card 2/3 able and is due to the irreversibiljiy of processes in shock-
waves (2). The above is thought to i,xplain the fact of the

46-2-23/23
on sound propagation in the critical point. (Cont.)
anomalous by large absorption of ultra-sound in the critical
point, as found experimentally by many workers (3). The above
explanation applies not only to the critical point itself but
also to any point displaced with respect to itt provided the
Card 3/3 p - Q plane contains such a point.
1 graph of CED and of C1KD1 curves is given.
There are 4 Slavic references.
ASSOCIATION: Byelo-Russian State University.
(Belorusskiy Gosudarstvennyy Universitet)
SUBMITTED: January 18, 195?.
AVAITA-nT : Library of Caigmea

AUZ90R M~, Az - 11 PA - 2788
TITLE Screening of Coulomb Field by Free Charges in Metals and demiconductors.
(Effekty skranirovaniya kulonovskogo polya, svobodnymi zaryadazi v metal-
lakh i poluprovodniakakh - Russian)
MIODICAL Zhurnal, Tekhn, Fiz.,1957t Vol 271 Nr 4. pp 638-65o, (U.S.S.R.)
Received 511957 Reviewed 7/1957
ABSTRACT The first chapter deals with screening constant. In the present paper
the Coulomb potential,, used in Zhurnal Tekhn. Fiz, Vol 27j,,Nr 6. pp, ?#.
19P,and the corresponding condition.imposed on the relation between
.the screening.constants and the number of free charges of the type a in
volume unit na and the chemical potentialeA. of the charges are employed.
In,the second chapter the bound states of the electron (hole) are irAre-
stigated.'With reference to an earlier paper by the same author it-was
found that assuming the compqqAion-ensrgy6Nj(X) and the relitioha for
Iftarameter) developed here,,. to be known . the problem of the dependen-'
ce of the energy of the bound states on the density of the areening char-'
gea n and on the parameters TqD (dicelectric transmissivity of the cMtsi)
,u(effective mass or the syqtem of the two bodies under consideration)
and m *(affective mass of,the screening charge) can be fully solved. 14
the third chapter I*s shown that the fluctuationsof the potential we
either small and adiabatic or great and non-adiabatic. In the formad cua*-
this leads to the occurrence of statically determimpa energy-level-widtbo,"
in the latter ewe self-excited stea4 levels art %'Apossibie &W the bowid
Card 1/2 states are unstable . The application of this general theory evolvedhere

PA 2788
Sceening of Coulomb Field by Free Charges in Metals and deMiCOndUCtOrge
explains why in metals local atates of the donor-type of admixtures
cannot exist, and the second conclusion drawn from tbis.theory relates
to the annihilation of positrons in metals. This theory also applies to
semiconductors, with the difference that here the number of screening
free charges'is a function of temperature. If this theory is applied to
excitations in non-concuctors'ind semiconductors,, it appears that.the
leVel3 of the excitons are considerably shifted in relation to the ineriews
of the number of free charges and to changes of temperature, which-effect.
is augmented by a statistical widening of the levels of relatively,e4wa
intenatty. (Vith 4 ill. and 9 citations 'from ulav publications).
USOCIATION Byolorussian state University, Minsk,(Boloruaskiy Gosuniversitet, Minsk)
IWZENTLM BI
SUBM M ED 23.5-1956.
AVAIWIR Library of Congress.
Card 2/2

~ C-. -; 1, E~ TvII - ~' "-- - ---
AUTHOR: FISM,I.Z., XR)WVICH,V.I. 57-6-21/36
TITLE: --%M-rogen-Like System with a Partially Screened COMM
Potential. (Yodorodopodobnaya nistems. a ohastiohno
zaskravirovamiym kulonovskim potentsialom, Russian)
FMODIOAL: Zhurnal Tokbn.Fiz. 1957, Vol 27, Nr 6, pp 1289-1293 (U.S.S.R.)
ABSTRAOT-. When applying the method of an effective was on the occasion
of the motion of the electrons or holes in the crystal, often
the problem of the motion of the electron or the hole in the
ODULOW field of a certain different charge arises.
In these moon hydrogen-like systems are concerned with the
only difference that here the motion does not take place in
an mpty space but in a arptal lattice.
Though mazy works concerning this theme are known, this
problem has nowhere been solved quantitatively and systemat-
ically.
Here the basic equation by SCHROEDINGER for the entire problem
of the motion of the electron (or the hole) in a partly
screened OOULM field is solved.
The application of the theory to concrete processes in
Card 1/2

57-6-21/36
Hydrogen-Like Systems with a Partially Screened COULCO
Potential.
metals and semiconductors is given separately. (With 2 Illu-
strations and 2 Slavic References).
ASSOCIATICNi Belormssian State Univermityp Minsk. (Bolorumakiy gosunivez-
mitet, Minsk
PRESENTID BY.-
SMWTTXD: 23-5-1956
AVAILABIM Library of Congress
Card 2/2

T
jouinA I of Pm;zi, a '- ~ - '- '
i0i 111, 1, .11: ~ . - ! old-
; I! .- ( ': , .I .--. .
i . . I . - -,
f

117 ~ ~- / 'r - - - I-
- - - - - --7 ~ --I / i
PROKHORENKO, V.K.; FISEIRR, I.Z.
Fluctuation orlge-,Ico=r~~ on number in simple liquids.
Zhur.fiz.khim. 31 no.9:2145-2146 s '57. (MIRA 11:1)
l.Belorusaki.r gosudaretyenny7 universitet, Kinsk.
(Liquids)

AUTMR-. YMMO I.z. 56-7-39166
T ITW: On the Polax-Model of Metals. (K polyarney modeli met&Ua,
Russian)
PERIODICAL- Zhurnal Eks ~r1m. i Teoret.Fizikip 19579 Vol 33, Nr 7,
pp 262-263 N.S.S.R.)
ABSTRACT: In the polar model, according to VONSOVSKU a new characteristic
or metals is introduoodt the degree or its polarity a.
a in the ratio between the average number or the "holes" and
the entire number of valenoe electrons. An attempt is made to
evaluate a by setting up a orass connection with the fluctuations
of electron density in metal. (With 3 Slavic References).
ASSOCIATIONt Belorussian State University. (BeUrtissMy gosudarstvennyy
universitet)
PMRM BY1
StIVITMI 27-1l.i956
AVAILOM Library of Camgreas
card 1/i

7- _7"
/s
AUTHOR# Fisher# lo Ze 20-3-1R/52
,TITLEs On the Mobility of Electrons and Holes in a Liquid Semiconductor
(0 podvizhnosti elektronov i dyrok v zhidkom poluprovodnike)
PERIODICAL# Doklady AN SSSR9 1957, Vol- 117, Nr 3, PP- 399 - 402 (USSR)
ABSTUCTs The author here investigates the problem of an "excess electron"
or a hole in an atomic semiconductor from the point of view of
strong coupling. Here the diffusion of electrODs and holes in a
liquid semiconductor is investigated. In this case there exists
no free length of path. When deter-mining the diffusion coefficient
D the autho asaa&qs that a distribution of the type dW(*f;t).-.
-,(41rDt)-372e -zr-/4DtdV can be determined also in a certain auxi-
liary problem of the vagrant behavior (BluzhdaDiye) of a classical
particle within the given t
_%tality of points Rk with given a pri-
ori transition probability k it. The transition process can
also be developed in certain va;ioug details, as e.g. into a pro-
cess that leads exactly to the value D, This value of D is identi-
oal wJth the diffusion coefficient in the quaitum-mechanical prob-
lem of the behavior of an electron or hole in a real liquid semi-
conductor. This Irocess is here described as an equivalent proba-
Card 1/2 bility process. The probability process can be considered with suf-

,On the Mobility of Electrons and Holes in a Liquid Semiconductor
ficient accuracy as a Markov process in real liquids. In a real
liquid the probabilities of the successive quantum transitions
are practically independent of each other, which means
tfeiMarkov-k or quasi-Markcm character of the aforementioned equi-
valent probability process. The expressions for the diffusion co-
ef:fbient correspondin;r to this case, for the coefficient of mobili-
ty, for the total number of transitions per time unit, as well as
for the mobility of an electron or hole are given here, In order
to obtain the actual values of mobility and of the diffusion co-
efficiento the heat motion of the atoms of the liquid and the pro-
bdility of their reciprocal positions must be taken into account.
The respective formulae are given. There are 5 Slavic. references.
ASSOCIATIONt Belorussian State University imeni V. I. Lenin (Belorueskiy gosu-
darstven.nyy universitet im. V. I. Lenina)
PRESENTEDs June 129 1957l by M. A. Leontoviah, Academician
SUBMITTEDt June 10, 1957
AVAILABLEs Library of Congress
Card 2/2

_rq-SHER-1 1-.
"Molecular Theory of Sound XK Velocity."
paper presented at the 4th All-Union Conf. on Acoustics, Moscow, 26 May - I Jut, 58.

th Sci ll~itudies d? the t~,.aorlr of li-
I.Z., Doc Phy---IT~ I
quid.s." Idl-Iski 1953. 27 TIT IrB o1c,russ-inn State Univ im V.I.Lenin),
200 copier, (KL,49-58tl1q)

AUTHORS: Prokhorenko, V.K., and Fisher, I,Z. 46-4-2-18/20
TITLE On the Molecular Theory of Bound Velocity in Liquids
(K molabilyarnoy toorii skorosti %vuks6 v zhidicostyakh)
PERIODICALs Ahusticheskiy Zhurnal, 1958, Vol IV, Wr 2. pp. 204-205 (USSR)
ABSTRICT; In an earlier note (Ref 1) 1.%. Fisher dealt with an exact
calculation of velocity of souild in a. unidimensional model of
a liquid expressed in terms of molecular characteristics of this
liquid - The present note deals with a 3-dimensional liquid consisting
of hard non-interacting spherets, with an arbitrary value of density
(Refs 2, 3). Such a model represents really a strongly compressed
gas, rather than a liquid. Nevertheless, it is one of the few
problem which can be solved exactly and completely. The authors
find that the velocity of sound In the liquid considered increases -with
Increase of density. At the highest possible values of the relative
density v,,/Vl -where v. = volume of one sphere (molecule) and
v = mean volume per single sphere, the sound velocity is about
5 times the value of velocity in an ideal gas. There 46r9 1 figure and
Card 1/1 5 references, 4 of which are Soviet and 1 American.
ASSOCUTIONs Beloru kiy gosudarstvannyy universitet, Minsk (belorussian State
Univer:1,1ty, Kinsk)
SUMTTEDi January 31, 1958
1. Sawd-Telecity-Theory 2. Liquids-4pplications

AUTIfORS: Kuzlmich, V. I., Fisher, 1. Z. 76-1-14/32
TITLE: Limits of the Thermodynamic Stability of Multicomponent
Systems(Granitay termodinamicheskoy ustoychivosti
mnogokomponentnykh sistem).
PERIODICAL: Zhurnal Fizicheskoy Khimii, 1958, Vol. 32, Nr 1, pp. 93-98
(USSR)
ABSTRACT: The problem solved here can be shortly formulated as follows.
A homogenous multicomponent system is given. Within wide ranges
the temperature, pressure and composition of the system are
changed. Can this system stay homogenous with all possible
values of these parameters? If not, what are then the limits
for the stability of their homogenous state? - Therefore this
problem is connected with the problem of the solubility of
liquids and Cases. The authors try to find the solution only
on the basis of the law of intermolecular forces as well as
of the General laws of physics. Ho formal dynamic investiVation
methodB and no modal theories v:c the liquid state are used.
The authors start from the basic equation of the theory of
N. N. Bogolyubov (ref. 3). The analysis of the course of the
radial functions of the distributions in a homoCenous multi-
Card I/P- component system with long distances between the particles

Limits of the Thermodynamic Stability of Multicomponent 76-1-14/32
Systems
is exposed. The total result is expressed by the equation (22).
In the terms of the course of radial functions at the
distribution of system particles in long distances the range
of thermodynamic stability is determined for the system states.
The limits of this range determine the limits of absolute
thermodynamic stability of a horaoCenous multicomponent system
(with regard to evaporation, freezing, splitting etc). An
analytical criterion for the stability limit of the system in
the terms of intermolecular forces as well as of the radial
functions of distribution are Given. The final result is
expressed by the equations (30). By their means the position
of the surface at the stability limit of the system in the
space: density-temperature-composition (or pressure-temperature-
composition) may be determined. The important case of a two-
component system was dealt with more exactly.
There are 4 references, all --P which are Slavic. Byelorussian State
University, Minsk (Byeloruoskly gosudarstvennyy Universited, Minsk)
SURKNM: October 8, 1956
AVAnA=:, Library of Congress
Card 2/2

76-32-2~-io/38
AUTHORS: Kuzlmich, V. I. , Fisher, I. Z.
TITLE: On the Theory of the Separation of a Gaseous Mixture Sub-
jected to High Pressures (K teorii rassloyeniya gazovoy
smesi pri vysokikh davleniyakh)
PERIODICAL: Zhurnal Fizicheskoy Khimii, 1958,Vol. 32, Nr 2. pp. 291-297
(USSR)
ABSTRACT: The general theory on the limit of stability in multi-compo-
nent systems, which was developed in Reference 1, is a two-
-component system of solid balls. The difficulties connected
with the ignorance of the analytical form of radial func-
tions of the particle distribution in real systems forced
the authors to solve this problem somehow schematically. A
two-component system with particles in form of solid balla
and of the diameters D,,,JD 22 and the "common diameter" D12
(which is not equal to D 1 + D22 )/2) is investigated. The
forces of attraction of the particles are neglected. Such
Card 1/3 a schematic arrangement can serve as a certain approximation

76-32-2-10/38
On the Theory of the Separation of a Gaseous Mixture Subjected to High
Pressures
for gaseous systems subjected to high pressure where the
essential part is played by the repulsive forces between the
compressed moleculeaq while th, forces of attraction play
a secondary part. Thus a logical statistical interpretation
of the separation phenomena in binary gaseous systems at
high and superhigh pressures (Reference 2) is obtained with
a model of solid balls. But even with such a simplification
of the problem its solution showed complications. For reasons
of briefness only one special case of two types of particles
of the same diameter, i. e. D 11 , D22 ' D, is investigated,
where D 12 -A / D. Thus a certain "regular" solution is in-
vestiga ed. The denominations and the basic equations of
Reference 1 are used. The curve of the limit of stability
in the space of density composition is determined. The equa-
tion (30) is deduced. It is the equation of the stability
limit for this investigated system - with small 6 values
( 6 being a 6-function) - in the diagram of the compo.-
aition of density. With given 6 the position of the limit
does not depend on the temperature which is a specific cha-
Card 2/3 racteristic feature of the system of solid balls. The numeri-

76-32-;-2-10/~8
On the Theory of the Separation of a Gaseous Mixture Subjected to High
Pressures
cal solution of the equation in its diagram gives separation
curves of the system. These curves qualitatively agree with
the results known on gaseous mixture separations with high
pressures (Reference 2). This qualitative coincidence is
also given in relation to the temperature dependence of the
position of the separation curve. There are 2 figures, and
6 referencess 5 of which are Soviet.
ASSOCIATION: Belorusskiy gosudarstvenny universitet.Minsk
(Belorussian State University, Uinsk)
SUBMITTEDs October 89 1956
1. ;Gasgrs-*-~Separation 2. Gases--Pressure 3. Gases--Model test
results
Card 3/3

214(7) , 3OV/46-22-11-11/53
AUTHOR: Fit;her, 1. Z.
TITLE: -bonditions for the Existence and the Spectroscopic Manifestation
of Excitons in a Semiconductor (lialoviya sushchestvovaniya i
spektroskopicheskogo proyavleniya eksitona v poluprovodnike)
PERIODICAL: Izvestiya Axademii nank ".98R, Zieriya iizicneskaya, ig-ib, Vol 22,
Nr ii, pp IJ29-,j331 (limij)
AB~ARACT: The existenoe of exoitons and their considerable role played in
the processes taking place in non-conductitig crystals is evident.
Just as evident in, from physical point ot' view, tile fact that
no exciton excitation is possible in conducting media (as, for
example, in metals). As, however, bet-.~een those two extreme
cases tile wide field of semiconductors is found there rises the
problem whether excitona are capabit! of' existing and persisting
in sem:Lconductors, according to their conductivity. In this
paper the author proceedsirom a hydrogen-type model of a non-
polarizing exciton, taking into account tne crystal lattice
field by the effective mass method. In this case the exciton
levels in tne insulator, it' ro.1'ereiicPd to tile dissociation
Card 1/ `5 limit, are

SOV148-22-11-11133
Conditions for the Existence and the Spectroscopic Manifestation of Excitons
in a .--"emiconductor
E -m*e4 (N 2, 3,
N 2D2%2 N2
M* denoting the reduced effective mass of the electron and of
the hole, respectively, D the dielectric constant in the region
of optical frequencies. The stable existence of the exciton is
limited to thermal oscillations of the crystal lattice, which
may cause its thermal dissociation. If the temperature Vis
given, only levels, for which 1E.19rkT will be stable. In semi-
conductors the existence and the stability of the exciton levels
is not only restricted by the oscillations of the crystal lattice,
but also by the background of free charges, which guarantee the
conductivity of the semiconductor. The analysis carried out in
this paper shows that the existence of excitons is equally re-
stricted by high temperatures and by a good conductivity of the
crystal. The exciton is capable of existing in its ground state
in a relatively wide range of the n- and T values, n denoting
the free charge density. Hence the phenomena of passive electric
Card 2/3 light absorption, of energy exchange and migration, in which

Cond t tono he ~x!,i tence and the !.:'pectroscopic Mani fe.~, tat ion of' Excitona
it emiconuiictor
alone Lhe existence of tne ~,xciton is ot' decisive Influence,
can be t'dund under normal conditions in almosT all semicon-
ductors, only semiconductors with a pood conoact-ivity are an
exception to -rhis rule. Very small values of T ind n are re-
quirpd in order to obtain an exciton absorption spectrum which
is complete at least to some extent. Under dark conditions in an
n ~ n(T) type sem-icond-actor the value of* n in automatically re-
duced with a temperature drop. Tnis is favorable f:)r estabiish-
ing conditions which make possible an existence of excited iev-
els of* the exciton. Tnere are 2 figures and 6 references, 11 of
which are Sovip,;.
Be tet (BelorusFim '~'Late University)
iorusskiy gos. Uniyersi
Card

AUTHOR:
TITLE:
Fij!a~he SOV/76-32-7-44/45
On the Structural Diffusion of Liquids (0 "strukturnoy diffuzii"
zhidkostey)
PERIODICAL: Zhurnal fizicheskoy khimii, 1958, Vol 32, Nr 7,
pp. 1692 - 1693 (USSR)
ABSTRACT: The concept of the structural diffusion was introduced to
molecular physics by Prins (Refs 1,2). According to him the
radial function of the distribution g(r) of any mono-atomic
liquid may be obtained from an anlogous function of corresponding
crystal by an extension of the points according to the diffusion
law. In the present paper the author points out that this theory
loses its validity by a certain fact. After the corresponding
explanations using the equation of Fokker-Planck he finally states
that the diffusion law by Prins may not be used already for the
first points g(r), and that the others cannot be observed; hence
the theory of the structural diffusion is ruled out, as are
all calculations made on its basis. The author adds that also
for the possibility of the separation of the points from the
plane background g(r) = 1 the above mentioned theory cannot be
Card 1/2 used as the microstructure and the thermodynamics of the liquids

On the Structural Diffusion of Liquids SOB/76-32-7-44/45
are determined just in the near range g(r) where the theory
0
is not applicable. There are 9 references, 7 of which are Soviet.
ASSOCIATION: Beloruaskiy gosud--rstvennyy universitet,,Minsk (Minsk,,Belo-
Russian State University)
SUBMITTED: January 23, 1958
1. Liquids--Diffusion 2. Diffusion--Theory 3. Liquids-Micro-
structure 4. Lijuida-Thermodynamic properties
Card 2/2

AUTHORS: '?Yabusbko, 1.. 7., ?isher, 1. '7j SOV/ 56-34-
5-19161
1
T IT LF C:i the of Rctatin,- J'.~,ncqez: in the 'V,7r,,,rnl Theory of
iclativilcy (0 dvizhnnii mass v obshchey
tcorii Qtno._At,~I Ir..c7ti)
PERIODICAL: Zhurnal to,_)retlche,_,ko
,- fizikit 11)58
,
,
Vol - 34, IT I 180-1194 (U';-:,::
)
1
ABI.iTRACT: Tn an earlier racer R~-wm.,;hko (-icf I (ucing Eim-tein's
I
e,-avitat.'on e:!!.,a.,~-,;ns.dexivedeqmticr--I~I or 4ja tr_--ailation ard ro-
4. a-ion of -:ater inves-
tirates t~e solutIons of these of tile well-
-known diff,'itult-le~- of the gener,-.1, or cc.-2.0!?tiaI me-
to ~qe of the t7.o-
-br)d,y prubi~m. 'ehe.ic .wo bodie3 care regaz-d-~ri is equally impor-
nt, the,- may ha7e maczes o~'* the order o,6' !ragnitu4e and
both of +!-..cm ma,,,r heve a -)ro: er rotatLln. -,L first
ro-tat"J, on of tne bodier t
n -: pproximation
_
cno deprpa hisrhor th--n
In this co:~o -.nt(!,,rrnbIe equations are ob-Ine-J. T),(! abso)ute
valuel of he ol* ~he conotant
.

Sov- -1"1-5-19;1
6,
,n th-:i llo*-ion cf Rotating in, the %G:oner-l Theur:. of' e'-O
The moment 0 or one body carrie ', out v. rure rrece--61on. A
for.r.ula abho t~v! rarlod i...:: givei~. Th,.~ con~~---deration
o'.' the bilinevr of the above couations
would lead to a dieturbation cf U-J!l rL;r~:, rr--.,ceselon.
The next tiection of this paper inveetiratei fnL 4n."'uence
ot' the projlj~-r rctatior, of' bord ien on tne orf.--` t:l-- xcm,--ntun.
if tile bodieo havc a procer ro L:)Ai or,
obtalwi iecti;ar from ito I.evtc;p. v~ilut-.
Thl--,- ~:eciilar nerturba'-'on of th,~ ,:-Czentum IieF
within tae T-1pne of the Ediwtozi (!:,.-vtt-n) or'bit. Thi- pertur-
bat-; ,on, theref ore:, may re reduoed to a secoLiur rct!,.t4on. of
file orbital mon~qit vector zi'co tu a dev"ation of
tne orb J t from i 1,n Xe-~vtor. ./Lit on.) rollition. A a 1 S
Fiven for the of thli (--%'~ViUtion. Then
cttse m M rind m donote the visee!-- 41-he two bodies)
b