SCIENTIFIC ABSTRACT GIBERMAN, M. - GITIS, E.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000515210015-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 26, 2002
• Sequence Number: 15
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SOV/126- - -71-5-6125
AUTHORS: M.Sh.. and N~P.
TITLE: On fl~- Dept~njen-e f Psz-meters of P_ Semiconducto-" on
Dli",)City of (0 2.av~_5imostl paramet.,cc.'
JL'?
PZRIODICAL-. F1.7i~a metalLo* metal1r)-vedenlye, 19'5), Vr~! ?9
pp (USSR)
ABSTRACTi 3~7, and his -,i-:,.nker.; developed recently a
:%,I thec. Y t.~ s iT-.j_c_)adu--.torF (Refs ~n
WY1(.r_' tile -111reTa;:~'.Ing qle,~tron,~ were rej.,::-esented as a
~.deal quasi-pavticle ga3,
Piupt-,-',~Ies -!.' 'Llb-4s Pas a-,a detG-m1nad by thi_:j propertlas
cf tte assembs~y, arid in the c-aue of an.
semni~-.oriduct,.)-r should ct'~-.peni on the Impuzity
d-jis.j. t Y The prasent' authors iised. Vt:)miovs!ii5,'s the,)'v,
t~, d1scass the energy spe,..-trum oi an n.-type atomi-i: ' "
semic.onductor wit.h impuritles. su,,th as germanium with
(Vonsc.-ikiyis thri!o:ry can be used also to Study
the vnergy spe,~ti-m of a semic-onducto-_-, ~iith ac(ieptcr
Jties)~ Th,- authoz-s rieduced dependence of the
Card ;Mpul i
a.r,ti,.-atlor, ene-;-gy and the effect,ive mas.,~ of cu:trent
1/2
,.a-, i f, ers or; tLe impurity derisity. [The paper Is

3OV/126- - -',7-5-6/25
On the Dependence of Parmeters of a Semiconductor, on the Density
of Impurities
entirely theoretical.]
S.V. Vonsovskiy, Y-a-P.
Card 2/2 for their advice.
There are 8 references,
1 English.
Acknowledgements are made to
Irkhin and I.M. Tsidillkovskiy
5 of which are Soviet and
ASSOCIATIONs Urallskiy gosudarstvennyy universitet
(UralsState University)
SUBMITTED: March 30, 1915,8

sov/1z6_8-2-3/26
AUTHORS: Giterman, N1. Sh. and Moskalenko, S. A.
TITLE: On the Structure of Energy Bands in Ionic Crystals
PERIODICAL: Fizika metallov i metallovedeniye, 1959, Vol 8, Nr 2.
PP 170-175 (USSR)
ABSTRACT: The interaction between electrons in crystals was
taken into account in the Shubin-Vonsovskiy polar model
(Ref 1). On the basis of this model Votisovskiy -and his
collaborators (Ref 2) have considered a large nwiiber of
static and kinetic effects in metals and semiconductors
and have obtained good agreement with experimentaL data.
The method of second quantization turned out to be a
convenient !iathematical apparatus and was developed by
Bogolyubov (Ref 3) for application to crystals, However.
in Ref 3 only the simpler case of s-electrons was
considered and excited states were not taken into account,
Seidov and Galishev (Ref 4) have taken into account one
non-degenerate p-state which gave an overlap of energy
bands in the spectrum of elementary excita-:ions even in
the zero-order approximation. The fact that degeneracy
Cardl./4 with respect to the magnetic quantum number wa.-5 neglected
in all the above papers means that it was not possible to

SOV/126-8-2-3/26
On the Structure of Energy Bands in Ionic Crystals
obtain, for example, the anisotropy of the effecti%,e masses
of current carriers and certain other effects. The
present authors have generalised the polar model to the
case of ionic crystals (NaCl, KCI) in Ref 5. The present
paper is also concerned with the problem and gives special
attention to the degeneracy of the electron states at the
Cl points, and the possibility of the motion of current
carriers of each sign over both cations and anions. The
first of these effects has an important influence on the
energy spectrum of the "holes", and in particLilar, on
the anisotropy of their effective masses. The second
effect leads to a change in the form anti' p~)sition of the
energy bands, i.e., it has an influence on the properties
of the current carriers. The work reportei in Refs 6 and 7
may be considered as the zero-order .1pl)rOgLination of the
solution now given. For simplicity, lattice vibrations are
not taken into account. An ideal cubic la-tice is
considered with two types of points g and h occupied
by positive and negative ions respectively. the ions being
Card2/4 considered as fixed. In the ground state, the electron

SOV/126-8-2-3/26
On the Structure of Energy Bards in Ionic Crystals
density distribution exhibits maximum non-uniformity.
Near the g-points (Na, K) there are no valence
s-electrons, while at the h-points (Cl) there are six
electrons in the p-state having m = 0,+l and
6 = +-1/2 . The excitation of the systait-i is co3mected with
a re-duction in the non-uniformity in the charge distri-
bution and the appearance of elementary excitations of
different signs. These excitations are called electrons
and holes, by analogy with the one-electron theory and,
correspondingly, the authors refer to-electron and three-
hole energy bands. The energy operator for the problem
is of the form given by Eq I (N.N. Bogol3rubov - Ref 3).
The results obtained are substantially in agreement with
those reported by Howland in Ref 9, except that in the
present paper the interaction between the valence bands
and the conduction band is taken into account. It is
shown that the spini orbit interaction is not an essential
factor leading to the anisotropy in the effective masses of
the current carriers. An approximate diagonalization of
Card3/4 the Hamiltonian for the many electron problems is carried

SOV/126-8-2-3/26
On the Structure of Energy Bands in Ionic Crystals
methpd
out and a group theory 3_s used in studying the structure
of the bands in sonte directions in K-space.
There are 1 figure and 9 references, of which 8 are Soviet
and 1 English.
ASSOCIATION: Urallskiy gosudarstvennyy universitat i-meni
A.M. Gorlkiy (Ural State University imerxi A.M. Gor2kiy)
SUBMITTED: July 8, 1958
Card 4/4

S/16IJ60/002/01/28/035
POO8/BO14
AUTHORS: Giterman, M. Sh., Irkhin, Yu. P.
TITLEi Theory of Electrical Conductivit f A tifirromaEnetic
Polar Crystals; I
PERIODICAL: Fizika tverdogo tela, 1960, Vol. 2, No, 1, pp. 144-152
TEXT: The authors calculated the energy spectrum of the carriers of
antiferromagnetic polar crystals with intrinsic and oxtrinsic conducti-
vity, taking account of the electron - background interaction and the
effect of the magnetic order. The latter determines the change in
activation energy and effective mass near the N6el temperature. The
results obtained were compared with experimental data. The theoretical
results contain the quantity of the s-d exchange interaction I and the
quantity IQ 1Wl as parameters, The latter is proportional to the vidth
of the conduction band. As usual, these quantities are parameters of the
theory and are determined from a comparison with the experiment. They
are related to the experimental quantities LNE and /\Ind by equations

Theory of Zie,~;Lrical Conductivity 5/181/60/002/01/28/035
of Antiferromagnetic Polar Crystals B008/BOT4
(22) and (25)- Strictly speaking, it would be necessary for a quantitative
confirmation of the theory to calculate galvanomagnetic, thermoelectric,
and thermomagnetic phenomena accordine to the scheme suggested in this
article. This would lead to additional equations relating the quantities
I and QI(a) to the quantities observed. The "Jump" of activation energy
was found by several research workers in numerous experiments. From
equation (19) it follows that in addition to the "Jump" of activation
energy also a "Jump" of the logarithm of conductivity occurs at the Ne'el
point. In the case of L E > 0, .81n6 consists of two terms with reverse
sign, so that it may have any value and sign. When A E < 0 , ZUnt5 must
be positive and not smaller than 16 El - The latter fact may also be used
kTN
to verify the theory suggested. More detailed experimental data tire
available on the conductivity of NiO. Several research worker3 obtained
both positive (Ref. 10) and negative (Ref. 11) values for t~~E. The
"Jump" 61nd is mentioned only in one publication (Ref. 12).. The
existence of a "Jump" alone is 3triking and necessitatus further V1~2
Card 2/3

Theory of Electrical Conductivity
of Antiferromagnetic Polar Crystals
S/1 8 1 160/00~;/01 /'2S/035
BOOS/B014
experimental studies, The authors thank Professor S. V. Vonsovskiy for
his discussion of the article under review. There are 5 figures and
13 references, 5 of which are Soviet.
ASSOCIATIC'Ni Urallskiy gosudarstvennyy universitet (Ural State University).
Institut fiziki motallov All SSSR, Sverdiovsk (Institute of
Metal Physics, AS..U.SSR, Sverdlovs.k)
SUBMITTED: January 11, 1959
Card 3/3

S/18;/60/0021/008/049/052/XX
4.;*o o B006/BO70
AUTHORS, Vonsovskiy, S, V., Giterman. M, Sh
TITLEt Many-electron Theory of Ion Crystals
PERIODICAL,, Fizika tverdcgo tela, 1960, Vol, 2. No 6, pp, 1795-1805
TEXT4 Ion crystals are characterized by strong inhomogeneities of the
electron density at neighboring lattice points, The binding forces have,
therefore, essentially an electrostatic character The interaction of
electrons with one another and with lattice vibrations must be taken into
account in the theory of ion crystals Such studies were made earlier by
S. I. Pekar (Ref. 1). In the present paper, the authors ds_-scribe the
investigation of ion crystals (phenomenological and model treatment)
within the framework of a many-electron theory by means of the method of
elementary excitations, The approximation %ised here is valid only for
weakly excited states of the many-electron system A consistent handling
of the problem by quantum mechanics is POS.3ible only unde,- 'ch*-s limitation.
When the excitation is weak and an energy gap exists, it is possible to
separate the energy spectrum in good approximation into i.,idiv:.dual branches
Card !13

Many-electron Theory of Icn Crysta15 S11 8 1 /60/00,2/ 008 /0 49/0 ~, 2 /XX
B006/BO70
'representing i,-fferent aspocts of the ;)f the many-~I-t--n
system. The theoretical studies are made cr- the bas:s of the Ham4ltonlan of
the ion crystal -in se~:ond qu anti zat L,--n r-pre5eritat-,n;
F(a,a a!(x a a . a a K (a a: 'VL) aL !I
a at 4 1
a a a . a7ga a 2 ! 2 a. a a a
-4pe 2 2
Iz Aw Here, a and a are Fqrm--.~s arrihilat~--n and p-Auctior.
Yr- n a a 4-
Operators of the electrons in the state a; and are B~ 7iels -rAuction
IIJL ~vt z
and annih- lat4on operat~jrs of the phon3ns with mom-nluw Yx. e,nd enr.-U ~Wt
The furictizns L F, and K may be determined e-,ther- or
in the microssop-,r, model representaticn as giver -r. ~'2) H can be
Ferm-,,Bose- Fermi-B~~sp Fermi
rep-resente!d by: H - E B H The Hamiltonian H
for an alka-1---halido: crystal Is represent-d by (4) and tlh~- FeTT,- bra,,--h
of elemc-ntary excitations are studied for -.he f.Dllowlng ~-,-pecial ;ase5-.
1) a very simpllf 'led model neglecting the electron phcnon in-:-,---ac'lzjn and
the elp~:tr-,P. degei-racy; 2) Re?glect,-ng thc- 'Interactiorl but
taking acc-urst of the dpge-nerary; 'I) weak electron-phon-n 4)
Card 2/3

Many-electron Theory of Ion Crystals S/18 I /'(O/O0,-//OO8/,N40'/Q52/XY
130C,,
/ n 0,7 0
stronE electron-phanon intcract-lon m ,tdiabatic, ap-,1rox-,u;atiL,r,; 5) impur;.*.),
,,Onductivity; 6) ion crystal whose on.:~ F, 1,. tr!i i,~i T ion metal,
In the last secti-n of the paper, Ox? Bost- branch of' '4.1~ '!111-ntary exci tatiow
is briefly discussed.. There are 2,1 refore,icoc~~ '~' G~~v'lot US, and
Bri ti sh
ASSOCIATION: Urallskiy gosudarstvennyy univers,.'..-t i_, (Ural
State University imeni Gor'kiv)
SUBMITTED: Dec,,mber 24,
Card 3/3

s/126/6o/ooq/o'3/0O?/033
E032/E4i4
AUTHORS: Petrov, A.N., Taluts, G,G. and Gite rman, ~1.5
TITLE: On the Theory of the Stark Effec or Excitonslin Ionic
Crystals
PERIODICAL :Fizika metallov i metallovedeniye, 1960, Vol 9, Nr 3,
pp 327-331 (USSR)
ABSTRACT: In a previous paper (Ref 1) the authors considered the
interaction of excitons with lattice vibrations. The
aim of the present note -is to generalize that calculation
to the case when an external electric field is present.
The shift of the energy levels of the exciton in the
external field was considered by Korenblit (Ref 2),
Samoylovich and Korenblit (Ref 3) and Gross et al (Ref 4),
using the single particle approach but they did not
include electron-electron and electron-,ahonon
interactions which, in general, will have an effect on
the dependence of the energy level shift on the external
field. In the present note, the excitons are looked upon
as Bose-type collective excitations of a many-electron
system. Using the Hamiltonian given by Eq (2) it is shown
Card 1/2
L that if the electron-electron and electron-phonon

T-b26
S/056/60/0.39,'C'-, j,/C,,jz',,'048
01 Sho DooOo56
AUTHORS.t Voronell, A~ V., Giterman, Id. Sh.
TITLE. The Hydrostatic EfZtTiear the Critical Point of a Liquid
PERIODICALi Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1960,
Vol, 39, No, 400), PP, !162 - 1163
TEXT: Near the critical point of a pure substance, its ccmpressibility
increases to an unlimited extent; therefore, already a slight change of
preosure. causod by the pressure of the upper layers of tY-e liquid upon
r,he lower ones, may be of essential importanci! For thio caso. tht-
authors theoretically investigated the curves of state p(V) and T(V). The
ohangz in pressure with height is given by dp = (Pg/V)dh, where V is the
1pecific volume at the height h; andit is the molecular weignt.. If D and
V deviatf,- only little from th-) critical values, then, iJ' T - T(11. 1
2 1/3
dh/dV (B/2,ug)V(V-V,) and V - V a(h-h 0) with a - (6~"31'Bvd
where h denotes the integration constant which gives the height at which
Card 1/3

The Hydrostatic -iffect Rear !Aia Critical, S/056/60/039 I/00~/O,~, I /10I.C,
Point cf a Liquid R006/B056
the critical conditions are satisfied; B =(alplavl) The mean spez!ific
T
c
volume in the entire vessel is experimentally measurable ' and tic, is the
pressurc- at a certain level, If p_ predominates at h.0 one obtains
415 _ h4/3 A numerical estimate shows
V V(h)dh - V H-h
mean 4H
c
that for all substances at 0