SCIENTIFIC ABSTRACT BELOV, N. V. - BELOV, N. V.

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• Collection: Scientific Abstracts
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• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Sequence Number: 6
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

NO*
Crylua 1"ructuilt of ram 111"I m
lirlymev. Pokladly `"I.Xm-%N .14
o94t)l --Ji'lrolrllLirv .01 dilitell".m.. de1j. [own Wriassro,
lWIgdWjr4"k%: a, - 11 :.";; 4 - 8 57, t. - AAVA.; MwT
Imp ris a Pima. with 4 Viols. XAJ69" la the unit
evil; d. 3.3S to 3 4;V ThtTr itre -I" indqwndent jmmmrtrr~.
tit the coonlinmes of the istas (given in of the nxi-I
length,&),. 1)(Sl: x Ill 8: 'v 9 13A, NW:
% - 21 3: v - 1.%:t, Ill; x 15-t% y - 4~6; s -
45; th0l): X - V. - 17~.; g - 19: 011(g): x - 7,*-';
y - 0.8; s - *W; (hu(,14: x m 6.7, y - 1.11: s - 41.
110j,(24): x - 21-3.2; 7 - -117.5; # - 45,. (M41: x - 2:-;
y fl; . - 2. D"tinves Si - 0 - 1.56: 1 --%; I Jrv-,.
1.-M A.., Ti - 0: 1 -At - L'.05 A.; Na - 0 - 2-T.? - IIAI
A. The struttiste is chAracteriles] by IM)s), Chails..
-iooL.r its llus~ tit the Isyto%rucs, mnd in avertsmit wilh
the AckuLtr-priitnmie hibit of the synthetic mineml
Cleavage plasses am (2110) wid (lot)). through the 1a)WO all
the 00" Itarcris The ~mzdlrr kmile radius of TP I and Na'~
in vor" riwm to Mg, I and C.61 , g%puns the hardete" t
Pit .1
TbechAritarrottin
tamavite,
tkireffingence k% Itrit . IKVAUW of the strong= effects of the
I'vt%l chAin* PAM110 to r Man thit of ISithl Ch4ins o~
IsYroxtrim The striseturr is its the Irt 4111114'"ti-MS identir4i
with thAl of blookile. mod d4 is ac"Calf-br - P".4 .1 dun.
side. %Vhilr in ltyrmrii- the t)#- 1,yns m, Lj,f,,ll. I,
ratn~svitc Phst-s t)-rtvhl Wets of (be #Anse kind. Absto in
flit directions 4 And Ort 48`03 211412 ljy"S. but the pdcking
It not cubic as in ityToxent; it hjA a pLne 0( "Mnwtry
Prallel to the Uyer, The o?kdir,,,tism of Xa* to (Y-
m abo"t octahedral (but with I adIdilionA 01- in next
ncth 4tnil4rtothAt%slCAt-jjjdiot,, shi
ide Ch
tost Osut with -1 t),- nrighIsixing)
OVUll"IFAI VhjjjWN Me ArrAngesl with the jr.40.1
i's t1w -MV Mrlwtur4l "Kni'sr 23 CA os-uheslml
Cluim Are in JIvl..Ujjs,I ondin'l wish IMR0.) Owjzql~
Atiltswigit i1,, .1% I.alis. ,,
.4-1) j. o1 TAM-4vile .1plurcully
1:4-.5. in tit, N1111,111tv it 1, Irs~-jlv bs-
,sj_ I , j he
0, ;Ilr 1101 ImAll"I I., ,
's. " I ~J,
IstIMM the .1114,111jr else 1--kille in gl. Os-.
Livors 6 very clutructtTi.lis. in the %ttitirtic, (,jAC,ACjjj.
While In dk4nitle it is (A)ICAIICs W. Filet

pELOys N. v.-

n 441' 50
r iie"
"Determining the Paramete s y the
r o
Method of Partial Projections," It. V. Belovj:
~Orr mem, Acad Sci USSR, R.. G. Metvayieva
-3q2
.*Dok Ak Wauk SM" Vol IJXXIII, No 2, 3pp 299~
Discusses partial projections,'new method for
-structural analysis of crystals. Previousl*'
of atomic arrangement were synthesized
In form of projections of the cell on MM. i-
mate axet;, from which coordinates (parameters)
vere read directly. In partial projections)
175T66
':~V=/Minerals Crystallography 4 Jul, 50
Contd)
only part of the cell e.g.,
1. /3., is pro
.-Jected. Results obtained for bei7l agree for
s s 0 ne y ragg
in 1W6. submitted 20 May 50-
17!s%6
AW

BEMV, 1~. V.
1 NOV
ice, Crysto ograft.
.111nantiomorphic.Critekia," V. Belov, Corr Mem,
-Acad Sci USSR
"DOIL Ak Mask SSSR" Vol.LXXvo No 1, PP 33-35
enantiomorphic ("mirror form") crystals as~
that pair,of crystble, of any chem compn, belongido"to
saw type of symetry, which are characterized by the
,79soct that if one,crystal has property which can be
described by the word "right" (dexter) then the'same
,property in the othe. crystal must surely be dej
~~6rlbed by the word "16ft." (laevus). Describes enanti-
M95

i7
I A . Stialk S.. .. . _. -75. fka- Ilk I *I), file
161jr differences in the prVivinusir given lon4loinn
cipordinates puldialsomil by the authon (G.A. 45. 717.-ij.
by IlAssolourger must Iturorgror (C.A. 43. Wi7c). and J-v
Ilusnur saul Utjcrsrr (C.A. 44. 14100) mor i_shuLit,A
The norlarly cuoriplorte afforreawnt of the rJectsun dru-ily
In0ji'101HO Pylithfitill nkilUmill Anil Ills-
very Nuisilloctory sointiudly its; the intmity of the (Alto
interfatollsvot Is detil. lly the ajorcellivill in the lo"FlInulA
evinortlinates in the 3 putslli~hcd stnicturv v.triatn%. Flip
k-hirt diffirtflim luviolievirt, Is the mitswilit ut )..I-
Ikinii 4a given fly Iturravor, 4 L. in the -Ittwtuir stmi I,v
the authilts. They swre-litind tit the lisnitints, tit At its Ill,
Inatimmotl of Fiattorfmon mu.1 llArkrr. (Al 4. 11) 6 tit t1wir
oftili'llim 101.6fly W-1VII by the IN "14. altmillrd Willi Ilirw
un file Vertivul dinrl, Its .1 fivilad'"I'll 1111S.
volills 1,40.1 in ~hv uplwt anul I(Al. 1t*J.j its she lainvi tavvf.
rhr distioniv %,I - Or - :.Mll A- NA - loss - ~' LN joint
3-It A. as orivs-is its liusnosr's minif J1uv;gvt%
Na - Chv - 3.1110A.. Na - Oy - 2.10 A. IN uuj..i.nn~
al,o 6 the diffemniv W the runroliumiuss Isic Ilse Ali' 4,41
hma,6: jAlo.1 in thr structure given hy olov, aullins,i. JAII6.1
in fluergst-r'lo. too file Lillcr. the ijujimimble, di,mutv,
:31A4 A. (nor At - I) irc 4-AA. Anil are mudi lpigh,r
lhut the thellosittical value LMS A. Of the toctalinfrim
rilgroo. two ve much too %hurt Anil I horm Illuch tin) king. The
i.tuuwphnu4 mplitevinrut sit Miss lur All, it, tuntumlinc
I% hy thu-11tvi. hat tit the mluvlutv~ .4 it.
.oullims three Are it," a. tills it x1ols, k1kitilln.111-1 "ills Ill
in nvt~h~ka. in iihich Sta- rrpL- At-' 1-2 Unt - -
VVTU. The illtltulitlf itiWIS'Sk-Al GW F-t-ItItUtintv tit
cusupArissin with %iff-tunnn2linc toliust give fiv Fe +- 0 .4
.4runforr ;wAk than fer *4 -t- At + (11, first twh A diffs-motv
%14, I"A' al""vrd. Titt, .16mmm% chwily rimin-cin, Its,
lir"-m tit "mtellitv" Iwak intemitit, in Ilse impliviltnu if
he fully vaVil Nor the -4u.N- jonsup t. In Imot tons int
C_' - R-Sm. The rwrvints, istat,tsity d4l~ of she nlllkW~
are Atippivisivinvil 10 IS IlilgIal" Of Ilk' 91t.1
intru,ilor. Int i1slill rilicsr, ininth aic us cN...11cut 4xit".
11"roll. if. I

-;V.
PHASE I TREASURE ISLAND BIBLIOGRAPHICAL REPORT AID 456 - I
BOOK Call No.: AF54o841
Author: BELOT. N.-_X.
Full Title: STRUCTURAL CRYSTALLOGRAPHY
Transliterated Title: Strukturnaya kri stallograftya
Publishing Data
Originating Agency: Academy of Sciences, USSR. Institute of
Crystallography
Publishing House: Academy of Sciences, USSR
Date: 1951 No. pp.: 88 No. of copies: 3,00u
Editorial Staff: None
Text Data
Coverage: This small booklet discusses the principles of geometrical
Crystallography and deducts the main mathematical formulae for indices.
It does not go beyond the scope of geometrical crystallography.
TABLE OF CONTENTS PAGE
Ch. 1 Crystalline state - lattice pattern
Ch. 2 Basic theorems of lattice crystallogra y 2~
Ch 4 transfer lattices (lattices Bravais . 5
Ch: i Elements of an=etry derivative from the lattice 73;'
Purpose: Not given
Facilities: None
No. of Russian and Slavic References: None
Available:. A.I.D., Library of Cong a

BEWVI N. V.

RMT. N. V.
., .Il'i'U'.1it"17-Nport on structural mineralogy. Minoebore no*5:13-36
151. (MU 9-.12) -
1. Institut kristallografii Akadsmii nauk S$Sk.Noskva.
(Kineraixv)

move
--------
The nature of the austenite phase. Trudy Inst.Krist., Akad. Nauk
S.S.S.R. 6. 141-6 151. (MLEA 4:10)
. (CA 47 no.15:7281 153)

d"M Iar 0 In
-T W
JY TZ"to
of the
nmtb. delia" of PdMitive gmap from DITichlet's no
Varona's tbearem. wul Fedarav's waliewbedron theory of
"C 6 ouillued u4 dismaW. on the ip"Ul batis
t launar's Mekww's) reduclion log (cf. t,'jpfk*i
Marmal Ovallk J. 4. 1AIM RV=lvm "-w
tattkv Is rvd&emd to a systgM a prahive kwpcdic
units (elesum ybedra) with nancomplana tranwa-
tiorn; the to Parameters for die "Imots" are dil-
the c0=
to
cussed for $pme opww geometric conditioub of centered
VMPS In the 2J,4 dimasiond apAce (cf, Wtauns
Kriji, 14, IODAP; M. 33.4!033)). W. Rrt;IZ-

~d V. 1.
cr$ludft lom tw
POW 6~ -iftow wbmi*w
"ftwoty Comw
bftvlwal~w vmrwtr us in wxw PoGkimu
on do,, Wkw pkwl~ - Thm Pmknm-t#&Aa
on to a
tho

D*Mbld -0
.god. It
7iZ:-A-,,miAmovA Am IL
=;z jVmj~ $$M $a. 3"
pXmwAowmn dWxW by of sm
md aeg (z xrw- 06
si.0 arA 05-0 ON dWa bY UP,
JL Abor 54a (19M- '
2

,41G40'
saw
an C17M Wave" d 1111wile PISWIK N-V.
MIMOV-AWD~V.; L MouwA., OW. Add. NWA
JSSJ% U14 (No. 4. 1"l) in Rodes. ~
0 , "~ .- '96 AMIN a - I-S& 6 - IS-07.
3-l6A.Zw4xCWF%j,+F***#W,OAM A tAk
o(olowAr pumemen b afvw4 uft a drawims o(lbs
atomic I - Compus T. too. X-V sall-
164 (Toky% IM p~ - ISI) ad Y.
5, 1 (IM So aW Abur. SM
;A. & C. WUQN

AOqL
34&7W6
BXM-AM- iL MOKWA,' AW. Aki*L,.-
TWO
'in lotairitim
Of N"dw *fto-*#Sl am ftmd -to
N. V. D*V aw V. I mak"m
AbW. QM~19M& Tlw &%nw k wm* critkbW
4m acmum tho b%cmtm%WAlftrxa eat&W&

"Peculiartties In Solidification of Natural and Synthetic Aluminosilicate
Melts in the Light of Crystallochemistry,"
SO: Vestnik Akademii Nauk SSSR, No. 4, M?, PP. 109-113

1. MLOV, X.. V.
2. USM (600)
4- Crystallography
Crystallographic procedures in ablving geometric problems. Trudy Inst.krist.,
no. 7, 1952.
9. Monthl List of Russian Accessions, Library of Congress, April -1953, Unel.

lolls

4 MOVP N%' Ve
20 USE (600)
4. Crystallography.. Mathematical
7, Simp3ification of the formula of & structure factor, Trudy Instkrist., no* 7.
1952.
9. Monthl List of Russian Accessions, Library of Congress, Ap ril 1953, Uncl.

BMV) N. V.
"Structuro of Crystals$" Nauk i ZI'dznI, 19, Mo.8, 1952

BEIIOVP N. V.
.I'Secreta of Crystals," Tekh. molod.., 2o., No.6, 1952

it I
1F
4i, AOH-3~hk54Y-The cMitalln-hem fotmulation of
d-
~
Akp~wt an an orihadlio ite nf thr phertakite gmup of the
,
'
type CusioOlth
cmisIderable diffituld".
I'doo 86jut
,
l-
l Si*' i
t,
b
mm Il
b
t
di
O
f
r
j
it
ri
in
t
o a centm
s
two
o
miM
g
'higbir ~mtjmtxafilr; Therence
150(11KI)~ t
Brlt)y (&f. 37
,
,
Me formil pe. Cu4S 40j%)JSHiO'
taof Ititt)
t; tybich th-Atil1cititTA
t4 that In
$
W
"W~1 1840
l i
fi, UrM
&
0g
ii
S
(
fKYY1 and loutinalitic., The U.0 Ino1s. wnuld have "Glitle
f the,
Ouractcr hi positimis betwomn.the silicatc ilrovp o
"
networit; the
dehyrin qW' wvuld be m-'
Atiou- abovil;
symbesLi L trovil
glv~n for the w-mitim, with an electron- d. pro*tion on'
(xy). by using tile impliatim: title of:Bvier &ad . vertical -
Pattmon sy'nlh,~~m for the accuedtL C positions. The

t'-4
codrdim4t" fire.- CIS In
M x/a, Nt2~-k jr1b. Nkitl s/c; Si in 0.1773'xlts. 0.1a,
'
A "Y'
-
'Y
i'1 x1a, O.M yj&' -0.010 I/c;

in 0. 1
;t"b

rip. Thtl- I.M.Ohl ring. wbkh his the symnictry
di
the Sym
v
juctt

t
I - --------- -- -
4
d _1

N V
Some characteristics of the crystallochemistry of sulfides. (in:
Akademiia nauk SSSR. Voprosy peti6grafti i mineralogii. Moskva,
1953. Vol. 2. P-7-13) (MM ?tO
1. Chlon-korrespondent Akadsaii nauk SSSR. (Sulfides)

BELOV. N.V.
Characteristic features in the solidification of aluminosilicate
melts. (In: Soveshchanie po eksperimentallaoi mineralogii i petro-
grafii. 4th, Moscow, 1952. Trudy, Moskva, 1953. No-2. P-133-136.)
(MIRA 7:3)
1. Institut kristallografii Akademli naut SSSR.
(Crystallization) (Aluminum silicates)

cr tAc b,
!a.

BELOT, N.Y., akademik, laureat Stalinskoy premli [reviewer]; BERM, J.D. Cauthorl
In defense of progreselvo dalftae. (0861suas and society. 0 J.D.Berml. Re-
viewed by N,V.Bal0V). llaftk I ihisal 2b no.11:46-48 N 153. (KE" 6:11)
(Bernalo John Dasmundi jqOi4 ) (Soience--Phllosopby)

BELOV., N. V. 1 Jan 53
USSR/Physics - Crystallography
"The So-Called Law of CrystalloGraphic Symmetry," V. V. Belov, Corr Mem Acad
Sci USSR
DAN SSSR, Vol 88, No 1, pp 63-65
Proves that if a structure has an axis of 5th order, or in general oLf (2n 4 1) order,
then all plane networks perpendicular to this axis will possess axes of twice this
order. Besides, a cryst,~ cariuoL possess a syr=etry grel-ter than the geometrical figare
of symetrical element pertaining to the structure (see A. Schoenfliess~ Theorie der
,Kristallstruktur, Berling, 1923). Received 28 Oct 52.
262T79

all
VSS R
vz
Ld --i,-F t, thq
Cdi

259T44
US8R/*16gy':- Francolites 1 May 53
Irc bo'nate Apatites.." 1. A,'Born6man-Starynkevich
aT' N. V. Belov, Corr Mei4cad Sci USSR
DAN SSSR' Vol 90, No 1~.pp 89-92
Authors~state that since 1938 - 1940 they have suc-
ceed6d 3'times (DAN SSSR, Vol 19, No 4 255 (1938);
ibid ."o1 22 No 2, 90 (1939); ibid., Vol 26, No 8,
811 iiq~O)) in'-pointing outobjections to the pos-
sibility.of isom6rphic substitution of calcium by
ca,fbon in C02 apatites (francolites), this possi-
bility vas proposed in 1937 by Americans J. W.
Gruner and D. McConnell.
259T44
Ulak 56. ,j OR r4)

VIT-Iww--v 14-- Ir -,~
Cubically symmetrical space groups. Trudy Inst.1crist. no.9:21-34
154. (MLU 7:11)
. (Crystallograpby)
A

BELOV, N. V.
Nature of Martensite Phase
Tr. Tnst. KriglAllorar. AN No 9, 1954, PP 43-46
The former assumption by the author (Tr. just. Eristallogr.,No 6, 1951p 141)
that the austenite carbon atoms tend to replace iron atoms in gamma-iron
instead of occupying octahedral vacancies in dense Iron atom cubes, as has
been previously assumed, is extended to martensitel The transformation austi-
te-martensite is considered as a transofrmation of i carbide phase into
another. It is also assumed that the carbon ions C3-p C4-) replacing
alpha-iron atoms have an elongated shape and locate themselves parallel to an
axis, which may explain the tetragonal system of martensite. (RZKFis, No 5j
1955
SOs Sum. No. 639,.2 Sep 55

j - - .
USSR / Solid State Physics / Structural Crystallography E-4
Abs Jour :Ref Zhur - Fizika, No. 6, 1967 No. 11654
Author :Belov, N.V. Mokeyeva, V.I.
1n# I I
Title sThe Crystalline Structure of Ilvaite.
Orig Pub :Trudy In-ta kristallografii AN SSSR, 1954, 9, 47 102
Abstract :See Referat Zhur Xhinii, 1955, 31105.
Cards 1.1

&c?.ftdv-_ of a M'a ef mixAraff. ta6 of -flich "I" ~t-r.
ptricid -M A. ca.4cr wcxks h-kv- CIVM aciy ",4
C al the C-6.1 ", the Eruct Cmld IFTIMIIIU~-
T_zdIkfuugu:zj. C.4. 26.6770; C.A. 21,
824; C~mnr_r ind Rcich~l. C.A. 27, 52g9)- A
PINU ~~4W.
OW*4
fl
-

23 -k X-7
a I LSIUI T114 uq
o
t
Tha _-Mft gvl(ii~ 01wahed-.21 cl~-Pz/~. The cooraim-tes
-
mr-
f #l
d
(XIOV)
i
!
i
i
J
-
o
,
t
ma
ttc
xe an. A
g
r (0:
p
-
-
-C
75- &M
u
.
ist
f 33.8; 75.
4.8, Sin
O
63A _254,27.8), Sitsf (18,5; 73; Oj (Z3.3; 0. 4.2),
gig 30.9; 0; 35,S), OilI1 (804, .0; 33.6 , Chy (4.6; 2-5;
1
13.1
. Ov (34; 73; 14-2). Gig (T.0. 75, 41.S1. OVII (51 .5;
-
75; 25- 310) 011t (43,9; 2M.
10.0).
Off M); 25; 414) 'r 16 - It
n ( ;ry%t;gj,jtmctcLm themutt 1-1
it ,,
tf4atm.,O arLd acfaWra, v4 Cm I~olylWra. The
Aj
atoms have ctukifinalikift no. 6. P:PMOle is L CICUIPIeX
sit' 'Its VVIIrk 2 Ey of rjAUcrAI,-t: dimhqAtivitte IVAI ard
l -
St
on
0 "Ad
i
O
O
.
e-
en a
gq
w
i
&MP uc
not mWiltd with a SI molil. Tlxcr~ tile richt formula
of epvotg,k w

V, N. V.
N
NomogI
omographic calculation methods in L-ray structural analysis.
I U T~udy Inst.krist. uo.9:277-286 154. (MI-RA 7:11)
(Radiography) (C27stallograpby)

Wa

15-57-2-1779
Translation from: Referativnyy zhurnal, Geologiya, 1957, Nr 2,
pp 90-91 (USSR)
AUTHOR: Belov N. V.
TITLE: The Atomic Structure of Glass (Ob atomnoy strukture
stekla)
.PERIODICAL: V sb: Stroyeniye stekla, Moscow-Leningrad, AN SSSR,
1955, pp 3144-350
ABSTRACT: The two principal theories on the glassy state--the
crystallite theory and the theory of an unordered
three-dimensional bond of the principal structural
elements (S104 tetrahedra in silicate glasses)--are
based on X-ray data.' Detailed examinationsroif the
possibilities of using X-ray analyses have shown that
the crystallite theory and the other theory indicated
should be set aside.- it would be best, in investi-
gating the atomic structure of glass, to begin with an
..Card 1/4

15-57-2-1779
The Atomic Structure of Glass (Cont.)
idea on the structure of fluids and amorphous bodies, in which ex-
tensive order is absent but immediate order in the distribution of
atoms is preserved. Assuming the basic principle of continuity,
that even in the still fluid glass the structural elements of the
crystalline phase are present (separating from it~ a picture may be
c6nceived of the structure of glass and the tendency toward an -
amorphous state may be explained., In the liquid silicate glass,
!!preparatory to crystallization," the structural elements of the
future solid phase--skeletons, nets, chains--are already rather
abundant. Their disposition, in the absence of any further ordering,
cannot be parallel. The sizes of these structural elements are
variable and the particles are differently oriented in space. This
state explains the high viscosity of molten silicate glass and the
tendency to solidify in amorphous bodies. In relation to the sizes
of the parts of the structural elements, it may be said that their
parallel contraction is possible only within the limits of 15 As
ina,smuch as the regular spacifig in glass, as determined by Ye. A.
Card 2/4

15-57-2-1779
The Atomic Structure of Glass (Cont.)
Poray-Koshits, does not exceed 15 A. The length of parts of the
chains in-metasilicates may,exceed 300 A. These particles,in meta-
silicates, however,-are not detected on & debyeogram because of the
unordered disposition of secondary cations and of the possible '
bending of, the chains. Consequently, the principal mass of silicate
glass is made up of more or less large scraps of endless (in one,
two, three dimensions) anions of SiO4 tetrahedra, which are present
in the crystalline phase, and which separatid during devitrification.
Devitrification is facilitated by the introduction of mineralizers,
which are effective in reducing the severing of the endless chains
and nets. Concerning sodium boro-s-ilicate glasses, the structure
should be considered-a dense,packing of oxygen atoms, in which
cations-of s,4* B3* 'Na"I are arranged according to chemical and
crystal chemicai rules. The concept of the existence of two three-
dimensional nets, in one of which oxygen is bound only to Si4~ and
in the other only to B3', the nets penetrating each other, is basi-
cally incorrect. Experiments on the leaching of boron and sodium
Card 3/4

1 15-5772-1779
The Atomic Structure of Glass 09nt.)
atoms and the determination of pore sizes in "silica glass#', con-
ducted by Ye. A. Poray-Koshits, are not proof of the existence in
borosilicate glasses of two kinds of oxygen atoms, one bound only to
silicon and the other bound only to boron. The explanation.of the
phenomena of leaching in borosilicate glasses must be sought for in
the fact that boron may have the fourth coordination next to oxygen.
The existence of boron in the fourth coordination has been
tablished in many minerals and in boron gl !ses. The structure of
solid B203 is composed of tetrahedra of Bot 0 At high temperatureP
the boron is predominantly found in the third coordination. At
lower temperatures it changes to the fourth coordifiation, a -process
that takes a considerable length of time and does not reach coM6
pletion during the solidification of the glass. The continuous'
process of changing to the fourth coordination destroys the Wholeless
of the skeletal structures. The result is the development of weak
places in the glass where the leaching action of water appears.
Card 4/4 A. A. L.

-5
ysical Chemistry-. Crystals.
Referat Zhur. Mimi X02~ 1957
Abs 3524
Author Belov N.V.
Inst ~in~;ro cal
-Society at the Lvov University
Title V1 sp ' t' of
Con ec us structural.Mineralogy.
Orig Pub Min-iialoj, ob. L".Vovsks geol, o-vo pri un-te, 1955) X0.9)
3 -14
Abstract The publica,tion.consists of two independent parts, Patt
i is, a supplement of previously'published.vtrk (Rzmim)
1~551 3.5-799).. ConsidereA is the problem or- the mechanista-
of-pblarization effects.--in crystalline structures CoAsS)
CuC . AgCl,, CuBr and other - compounds,
MAsS NiS,,MoS2,
Coordi~atibh-ni6b.ers.of.,cathions-polarizers in-the struc-
tures under-donside*ra'tio'n are very closel related, accar-
Y~
*ding.to the author,-with the.tendency of cathions to form
about theri-syr-metrical'configurations of 18 (or 32) elec-
trolls. In inter&etationa of characteristic features of
Card 1/3 14

4;7c 1~ ;-
'. . ~ 1" - , ~: 1MR/ULTHEUTICS/Algebra CARD 1/2 PG 396
A U 1; H! o,., t
Hkax 'Tus HERONOVA N.N., SMIRNOVA T.S.
ji,
1 ?
TITLE 51 ubnikov groups.
PERIODICAL Trudy Inst. Kristallogr. 1.1, 33-67 (1955)
rev-26ewed.11/1956
(1924)) have established the 47 motion
F61ya and Niggli (ZoKristallogr,, 60,,.
groupa of the plans. Assuming.the plane to be roflootingo then one obtains 80
motion groups.(Weber~ ZaKristallogr. 70. (1929)1 Alexander und Hersann, ibid.
). These can be denoted as bi
and 70.. ed as biaoloured groups by giving the points
the two ooloure white and black instead of the reflection at the carrier
plane. Therefore the authors call them the 80 biooloured groups. The authors
solve the following problems Analogously how the 17 onecoloured groups can be
generalized to the 80 bicolourea ones, glo the 230 onrcoloured space groups
(due to Sohdnfliea and Fedorov) oan b generalized to biooloured groups.
The authors find,1651 groups which ar: named Subnikov groups. The authors'
method is geometric: At first the 36 biooloured Bravais-Lattices are established,
thiy are obtained by centering of the edges, tho surfaces and the cells of the
14 Bravais-latticea. Then there follow 10 theorems wbiob describe the mutual
behaviorLof the symmetry elements for the bicoloured groups, they corresponj
to +h rules of combination for the onecoloured symmetry elements* Then the
1651 lubnikov grorps or bicoloured motion groups are obtained by combining
the 36 biool,~,)rea. Bra,,rp-is-lattices with all possible one- and bicoloured

Trudy Inst~ Kristallogr. 11.,. 33-67 (1955) CARD 2/2 PG - 396
symmetry elements. The method is desoribed in detail with the example of
the rhombio hemimorphy 02v and loads to 192 biooloured space groups. The
authors have found the following numbers of bicoloured spaeo groups belonging
to the aeveral crystal syetemst
Trialialo, 7, monoolinios 91, rhombio, 562, t8tragon&l' 5709
trigonal (rhombobodrio)s 108, hexagonali 164~ cubict 149.
The problem of the bicoloured, spaoe grotips has firstly been put by Reesoh
(Z.K-~istallogr. 21L (1930)) and has teen solved for the case of the triolin
and monoclin system. His groups No. 1-19 and 40 -t18 agree with the above
7 + 91. Then Burokhardt; (Comment. Math.Helv. 6, (1934)) has treated the
prOlom vtth Arithmetic method@ And h4v given 4 number of btaoloured, groups
for the hexogpnAl and the rhombo'hadria eyatono But the compartoon with
Aolpvlp ropulta Phown that thic entabItahment woo inoomplotes

SHIRNOVA.R.R.; RUMANCVA,I.M.; BRLOV &Y,
CrYstallic structure of anspidima.%s:p.Vsee.mln.ob-va 84;no.2:
159-169 '55. (MIRA 8:10)
(Ouspidins)

f/ V ~ I ~ , v
USSR/Solid State Physics - Structural Crys pby, 3-3
Abst Journal: Referat Zhur - Fizika, No 12, 1956, 34626
Author: Golovastikov, N. I.,-Delova, Ye. N., Belov, N. V.
Institution: None
Title: Crystalline Structure of Eremeyevite (Ricbwaltite)
Original Periodical: Zap. Wes. Mineralog. o-va, 1955, 84, No 4, 405-414
Abstract: See Referat Zhur Mika, 1956, 28612

Catpgdry : USSR/Sb1id State Fhysics - Structural crystallography 1-3
Abe Jour : Ref Zhur - Fizika, No 1., 1957, No 1130
Author : Fesenko, Ye.G., Rum=om) I.K.., Belov; N.V.
Title Crystal Structur-a of Oyosite.
Orig Pub Dokl. AN SM, 1955., 102) No P-) P-75-P-78
Abstract An x-ray diffraction study v" made of cy*lg Ca2A13S'3012(OH)` a 16-20,
b 5.50) c 10-14.kXj Z sr 4. Fedorov group*Z -- PnW. The structure was
'Rh
determined from thi6 itisvAl and geameralized pr_o~etctions of the electr,)n density
on xi. The'large number of Fhb'land anplitudes detexmi~md in
radiation (407 and'277 respec_t3.V-eIY;)U.'x9 6 it possible t6'apply this statistical
method to the determination"of the-RIkqp. The ib~ an
e plitudei were obtained
from the relativa ones taking into adcount, the`~perature correctiou'at B
0.7 kX2. Thq .re-ferrence 'group of 'eigae, waa -determined using a method ~I~ously
described (Refear-at 22aurnal Fizika, 1956, 34590); this method, made it possible
to determine 21 sips'of'%ol ard 218 F, The projections constructed from
thise data'gaVe the approximate 'coordinafe;'of almst, all the stons; they were
used-to det&u1ne the sips of All'ths e*litudes. The foundation of the
structure is made up of single columas iof Al-octahedra, vhich extend along the
Card 1/7-

~ry : USSR/Solid State, Physics - St:Fuctu:ral crystallography 3-3
Abe Jour : Ref Zhur - Fizika., No 1, 1957, No 13~30
b axis; adjacent to the columns are single octahedra, corresponding to the
Fe-octahedra in Opi6te. Th* colimm of octsA~dra are joined by ortho-groups
(SiO4), diortho-groupi W267) and Ca- seven-c6mered structures. The inter-
atomic distances for Si -- 0 range from 1-53 to 1-70 kX, for 0 -_ 0 (ribs of
the tetrahedrA) from 2-52 to 2.82, for Al --_O (in the'oct4heara. c6Mrising
thG columns) fi-om. 1.93 to'2.02, and for Al. - 0 (in'the single octahedra) from
1.79 to 2.08 M The'SirO-Si valence angle is 1620.
Card 1/1

GOLOVASTINT. H. I.; BUOTA, Te.1F.; RIW. N.Y., akadmik.
. - i
. I
Crystal structure of eriqeyovite. Dokl,AN SSSR 104'no.l.,?8-81
S 155. (nM 9:2)
1.1natitut kristallogrefit Akademil nauk SSER.
(Aluximm borats) (Crystallography)

SUBJECT V301/11ATBUTICS/liet'istioa Cal) 1/2 to - 695
AUTHOR GOLOVASTIKOV N01 13zUMj6_v1
*:0-3-io-nof the statistic equation of Zaahariasone
Geometric tntsrpr
PERIODIML Doklady Akad.ftuk 104, ~40-542 (1955)
reviewed 4/057
The equation of zaaharjason %+X n.3(82 -sIr (Act& Cryst, U 60 (1952)) has
a goomatria interpretation by relating 4th, all possible situations of the
a,toms in the elementary aelle For a twovdimensioual oentro symmetric crystal
coo 2'K(hz Ay~)* The straight lines hx - ky - n
we have PR Fhk fj
integer coincide with the Kniza; of that oos-plans which In the Fourier
series corresponds to the amplitude P al analogously for 7K* The straight
lines which oorrespond-to IPK go through the Intersection points of the
two first families& It two &tons are in the oellp then the structure amplitudes
Fit 710 71+X are equal 2 oos,21ra(p 2, coo 27ro 0 2 coo 2jr (0(+A) rssp.
where o~and #,'or* the ration of the distancob of thq Oon 'up to the next
lines of the f4milles I sad'X to the periods of lattice lines of theme
familioal analogously for a(+#* Itow the rsls,tton of zoohariason in satis-
fied for certain regions (triangles) but not for other onese Zt results that

Doklady AkadeNauk LUL 340-542 (1935) URP 2/2 20 - 693
for values of the structure product ace 21rck a cos 21r(3* cos 21r(Q(+P)>I/8
the equation of Zachariasen to satisfied positively, With Increasing numter
of atoms in-the cell the applicability of the equation diminishes and
symmetry elements enjoin characteristic restrictions on it,

Ci
4 11 ..........
fi:i ',X, th, ,Jg,
2 t"i

~
4 1) ::7
3 f,,r4 lit x 4t,
E-L

N, V.
SUBJECT USSR/JuTumATICS/Statistics CARD 1/1 PG - 687
AUTHOR BELOT N.V., GOLOVASTIKOV N.I.
TITLE OF-91-rong and weak statistical relations between the signs of
structural amplitudes.
PERIODICAL Doklady Akad.Nauk 105, 978-980 (1955)
reviewed 4/1957
The author investigate the question of probability of other relations between
the unitary structural amplitudes than the equation of Zaohar,ia:sn (S H+K -SH-SX
e0ge 31+2K - SH*3K' and they find that the following relations have the
probabilities of satisfaction in the margin for two atomst:
S3H 3211*5H Ot83
34H S3H*3H M7
S5H S4H*S 11 0,80
S6H S5H S 11 0,70
S5H S3R'32H 0,77
S79 S5R*S 2H 0976
3811M S511033H 0,73-

DOLGCPOLOT, N.N.; SHCHIMOAXOT. D.I., akademik. otvatetvenW redaktor-,
13ZLOV,_ji_IV,, akademik, redaktor; YORWIYZT, O.A., redaktor; CEUMMff,
YX.----rq-aator; KO, N.P., redaktor izdatellstva; ASWITZVA. G.A..
a . -
takhuichookly redaktor--
[Proleme in geochemi atry and miaeralogy] Toprosy gaokhinii i
mineralogii. Moskva. 1956. 174 p. (MLEA4:7)
1. Chlon-korrespondent AN SSSR (for Chukhrov). 2. Akademiya nauk
SgSi. Oideleniye goologo-geogran eskikh nauk.
(Gooobexistrjr) (Mineralogy).

Category USSR/Solld State Fhysics - Sclid State Theory. Geometric E-2
Crystallography
Abs Jour Ref Zhur - Fizika, No 2, 1957 No 368o
Author Belov, N.V., Tarkhova, T.N.
inst Institute of Crystallography, Academy of Sciences USSR Gor'kiy
University, USSR
Title Color Symmetry Groups
Otig Pab Kristallografiya, 1956, 1, No 1, 4-13
Abstract Description of a new,method of obtaining 46 infinite flat two-color
groups of sy~netry by selecting from among the 230 Fedorov groups
those vhich produce fr,-a a single initial symetric figure derivatives
that are located only In two levels.. The corresponding symmetry elements
will be 21.0 42466 1 c, n, and the Bravet lattices A, B, J, F. The ne4
derivation of &-color groups is compared with others. The extension
of the new p:inciple of the derivation to groups containing symmetry
elements 31, 32, 61, 65) 6ps 64j, d, and. the Bravet lattice R has made
it possible to establish 15 colored Fedorov groups of symmetry. On the
basis of the theory of the Bravet lattice, and explanation is given for
Card 1/2

Category : USSR/Solid State Fhy,,-"Lcs - S-:1.id State Theory. C- =etric E-2
CrystaUcgraphy
Abs Jour : Ref Zhur - Fiziks, No 2~ .1-957 No 368o
the existence clf r-c-r,-,:!,rystnIlc,graphic colored groups with 5, 7, and
more Colors fL'-r the case of the lcw syngonies.
Card -. 2/2

V) N.V
Category :USSR/Solid State Physics- Structural Crystallography E-3
Abs Jour :Ref Zhur - Fizika) No 2, 19~7 No 3703
Author :Belov,_N.V., Tarkhova, T.N.
Inst :Institute of Crystallograpby, Academy of Sciences USSR
Title :On Stripping Methods of Calculating the Fourier Synthesis in Structural
Analysis of Crystals
Orig Pub :Kristallografiya, 1956, 1, No 1, 132-136
Abstract :The use of the complements to 100 in ordinary strips instead of negative
numbers makes it possible-to replace the addition and substraction oper-
ation with addition alove. New types of strips are described., and a scheme
is given for obtaining any strip with the amis divided into 60 parts,
and also tables for the cosine and sine strips for h from 1 to 30 and for
the amplitude 100, and which tables it is possible to obtain new strips
for any amplitude.
Card 1/1

USSR Solid State Physics / Structural Crystallograp4y E-4
Abs Jour Ref Zhur - Fizika, No. 5, 1957 No. 11655
Author sFesenkp, Ye. G., Rumanova, I. M., Belov, N. V.
Inst 2
Title :Crystalline Structure of Zoisite.
Orig Pub :Kristallografuja, 1956, 1, No.2, 171 - 196.
Abstract :The elementary cell of zoisite Ca2Al3./S_iO47 O(OH), de-
termined from the X-ray patterns of totation and from the f ar
pinacoids of the zero development, is rhombiot &=16.20,
b-5 50, o=10.14kX; Fedoi, The total
0 -ov group D~6 - pnma
.h
determination of the orystallihe structure of zoisite ig
effeoted through a direct determination of the science of
the structural amplitudes by statistical equations. A pro-
Oedure is developed in detail for the separation of the re-
ferenoe &Toup of signs for such a distribution.
Cards 1/1
V N~v
Category : USSR/Solid State Physics - structural CrystallograPhY E-3
Abs Jour : Ref Zhur - Fizika) No 2, 1957 No 3698
Author :.I~~Ov N.V., Torkhova, T.N. al Factors
Title : Nomographic Method of Computing Structur
orig Pub : Kristallografiya, 1956, 1, No 2, 235-238
Abstract : No abstract

USSR/Crystals. B-5
Abs Jour Referat Zhur Khimiya, No 6, 1957, 18220
Author N.V. Belov, T.N. Tarkhova,
Title On the 'Rex;ctahedron Group.
Orig Pub Kristallografiya, 1956, 1, No 3, 360-361.
Abstract A simple way to find the results of operations of axes *f
symetry and rotary-inversion axes on obliquely situated
planes of symmetry is proposed and discussed takin,3 the
hexoctahedral group. as an example. On the attached sche-
matic picture of a hexoctahedron, the indices of all its
faces and the only operations, by means of which any face
is obtainable from the initial face hkl, are shown.
Card 1./i - 44 -

V~ All
Category: USSR Physical Chemistry - Crystals 33-5
Abs Jour: Referat Zhur-Mimiya, No 9, 1957, 29631
Author : Belov N. V.
Inst :"Hogiv~en
Title : On One-Dimensional Infinite Crystallographic Groups
Orig Pub: Kristallografiya, 1956, 1, No 4, 474-476
Abstract: Utilizia-.% the generally accepted "international" symbol system
of denotation of Mstallographic groups the author segregates all
possible groups of one-sided and two-sided infinite one-climn ional
patterns (borders and ribbons), and also groups of those stems hav-
ing a main proportion wds of 3, 4 add 6. It is shown that in the
case of borders (one-sided patterns) there am 7 groups (plu, pmu,
p1ml, olal, p=2, pma2) p112), for ribbons -- 31 and for "crystallo-
graphic stems" -- 53 groups.
Card 1/1

V7

BJWV, N.Y.
Medieval Mauretanian ornamentation designed in ranges of
symetry groups. Kristallograflia, 1 no.5:61o-613 '56. (MLRA 10:2)
1. Institut kristallografii AN SSSR.
(Decoration and ornament. Hobammedan)

BMDT, M.T.; TARKHOTA, T.N.
Correction to the article "Color symetry groups.11 Kristallografiia
1 no.5:615 156. (MLRA 10:2)
1. Institut kristallografti AN SSSR-. Gortkqvekiy GosudarptvenrWy
universitet im. N.1. Lobachevskogo.
(Grystallogmpby)

swv, TARKHOTA, T.N.
Color-group symetry. Kristg~llogrsfiia I no.6:619-620
(HLRA 10:5)
1.1natitut kristallografti AN SSSR i Gorlkovskiv gosudarstvenW
umiyarsitat.

BELOV, 9. V. I
ISIAOV I N. V.
Three-dimensional mosaics with color syumetry. Kristallograflia
1 no.6:621-625 '56. OWA 10:5)
I.Institut kristallogralfii AN SSSR.
(Crystals--Models)

Appliances used, f(kr tqodeling crystal structures and
crystallochomioal patterns* Kristallograffla, 1 no.6:733-734
156. (XLRA 10:5)
I.Institut kristallo affi AN SSSR.
forystals-Models)

r N*V*
Part 7: Studies in structural mineralogy. Kin.e'bor. no. 10:10-32
J56. (MM. 0112)
(Nizeralogy)

)0 0, Pt Ut
USSR Structural Crystallogiaphy. E-3
Abs Jour : Ref Zhur - Fizika, No 4, M7, No 9229
Author :Mamedov, Kh. S., Belov, N.V.
Title :Crystalline Struct-uRe-o-f-Wherals of the Wollastonite Group.
I, Structure of Xonotlite.
Orig Pub :Zap. Vses. mineralog. o-va) 1956) 85) No 1) 13-38
Abstract ;Results of X-ray difieraction investigations are reported
for the crystalline structure of a mineral of the Wollas-
t6nite group) namely Xonollite 6 Casi0j. Epo. Only the
Weissenberg method and rotation were used and the radia-
tion was Ho a K,~, . Owing to the fibrous structure of the
mineral-, X-ray diffraction patterns were obtained only
when rotating about the b axis of the needles. The lat-
tice periods were a 16-50, b 7-32 (with a pseudo-period
b 3.66) and c 7-03 kX, 0900, Z a 4, and Fedorov group
P2/a. The signs of the Fhol amplitudes were determined
with the aid of the Harper and Casper-,-Inequallties and
the Zachariasen statistical equation On the basis of the
projection of the electron density jJxz(, and also with
Card 113

USSR / Structural Crystallography. E-3
Abs Jb~ur : Ref 2hur - Fizika, No 4, 1957, No 9229
Abstract : all.ovance of the analogy between Xonotlite and cuspidine
and telleite, a model of the structure was found and was
subjected to consainutive refinement by the arbitrary pro-
jection method. The base of the structure ofthe Xonotlite
are Ca-octahedra, connectex together by the oppositely-
placed ribs, and extending along the b axis. The octahedra
contain 1/3 of the atoms of calcium, while the remaining
atoms of calcium are located in the trigonal prisms., con-
nected along the ribs into columns placed on both sides of
the columns of the Ca-octahedra along the second-order axis.
Columns-of the octahedra and the-prisms combine to form
layers parallel to the (001) plane. The structure of the
Xonotlite displays a characteristic new type of silicon-
oxide radical, namely a chain (ribbon) of composition[st,q,7-0'
Card 2/3

USSR / Structural Crystallograpby. E-3
Abs Jour :Ref Zhur - Fizika, No 4, 1957, No 9M
Abstract :which are located parallel to the columms of the octahedra
and the prisms. The Si-O distances in the tetrahedra are
1.54 -_ 1.63 kx. The length.of the ribs of the Si-tetrahe-
dra are 2.52 -- 2.60 M The Ca-0 distances in the octa-
bddra and in the prisms fluctuate in the range 2.34 -- 2.60,
M The structural features of Xonotlite explain well the
fibrous nature and both cleavages of the minerals. Me de-
fects and faults in the structure of !Xonotlite and of o-
ther minerals of the Vollastonite group are examined.
Card 3X3

MEN
L 1- L-, 1

Mf

UShR/ physical Chemistry - Crystals B-5
Abs Tbur Referat Zhur Khimiya) No 3) 1957) '(269
Author Pyatenko, Yu.A., Bokiy, G.B., and Belov, W.V.
Inst Academy of Sciences USSR
Title Radiographic Investigation of the Structure of Chkalovite
Orig Pub Dou. AN sssR) 1956, Vol 108, No 6, 1077-1080
Abstract Radiographic methods (X-ray gonioneter and oscillation
method, using Fe-K_,,, , Cu-K,,, and Mo-K. radiation"
have been appLied to the investigation of the structure
of Chkalovite Na (BeSy ). The crystals are rhimbic
(Pseudotetragonai) wi Ettice parameters; a 21.1,
b 21.1, c 6.87A, r (exper.) 2.66, Z ; 24.; the space
group notation is Md. The structure vas deterrdned
.by -the interpretation of the F(uw) and F(vw) projections
and cross-sections KuvO).and F(uvI,) (assuming the struc-
ture to be analogous to :~'-cristobalite and using crys-
tal structure analysis); -the results were refined by the
Card 1/2 38
-- -- -------------------

USSR/ Physical Chemistry - Crystals B-5
Abs Jour Referat Zhur - Khimiya, No 3, 1957, 7269
application of successive approxivAtions in carrying out
a Fourier analysis. The structure of chkalovite appears
to be derived frora that of ~- -cristobalite. The filling
of 2/3.0f the total number of Iavsov polyhedra by Na
atoms and the substitution of 1/3 of the Si atoms by Be
atoms lead to a tripling of the A and b p9riods in chkalo-
vite compared with the edge lengths of ' ".-cristobalite.
This leads to a small displacement of the atomic coordina-
tes fron their ideal positions.
Card 2/2 39

BIILOV,, N.V-- XUROGHM X-L, konstruktor.
Ing turntables for cars used in =loading brick clay from
th6 pro:$L [Suggested b",y N.V.Boloy imd X.I.Kuro*WdnJ.B&t%.1'I%dbr.
predl.v. sjrojw* tio*146s3-6 156. (nU 10: 2)
1. Glavhyy makhAnik Zguberetskogo savoilasilikatnogo kirptcha, (for
Belov).
(Brickmaking)

AS USSR
"The Structure of Silicates" (Section 2.1; "The 1651 sbubnikov
Groups"'(Section, 16-3)- tapera'submitted at the General Assembly and International
Congress of Crystallography, 10-19 Jul 57, Montreal, Canada.
0-3Y800;189

cd

70-3-1/20
AUTHOR: Belovq N.V. Neronova, N.N. and Smi:mova, T.S.
TITLE: Shubnikov groups (Shubnikovmme gruppy)
PERIODICAL: "Kristallografiya" (Crystallography) 1957,
VcL 2, No. 3, pp. 315 - 325 (U.S.S.R.~
ABSTRACT: 1 r551 Shubnikov groups are presented in the new inter-
national notation, prefaced by few fundam ntal theorems,
which govern their derivation.
The derivation of these groups is easily performed if we
start from two-coloured translation groups; 36 such groups
existq of which 22 are two-coloured and 14 are ordinary Bravais
lattices.
An obvious theorem.states that with a two-coloured lattice
every (two)-coloured element of symmetry e4her coincides with
a non-coloured element of the same kind (plane, axis, Centre)
or altemates with it. In the notati6n of such Shubnikov
groups it is sufficient to place behind the symbol of the
Coloured lattice only non-Coloured elements of symmetry, i.e.
one of the Fedorov groups.
With the non-coloured lattice, i.e. when we have the ord-
inary Bravais lattice, we have in the notation Coloured
ftrd 1/3 elements. Introduction of them is governed by two simple
theorems. Accoiding to the first one, odd elements of

Shubnikov groups (Cont.) 701-3-1/20
symmetry (threefold axes) can be only uncoloured or grey, i.e.
Shubnikov groups with these elements of symmetry do not exist.
According to the second, if we have a finite or infinite two-
coloured (black-white) pattern and then restitute the black
half of components for the white ones, we obtain one of the
ordinary(one-coloured) Fedorov groups. This means that when
the lattice is an ordinary Bravais lattice all two-coloured
groups can be derived by systematic substituti-ng of one, two
or three independent symbols in the appropriate Fedorov group
by the twD-coloured symbols..
A complete list is given of the 1 651 Shubnikov groups
(pp. 318 - 325)9 which includes also the 230 Fedorov groups
and an equal number of grey groups. Two-coloured elements
are denoted by an apostrophe. Grey groups are denoted by an
additional 11. This symbol does not appear in cubic groups,
where we consider it appropriate to displace this apostrophe
to the symbol of the (odd) axis 3.
The derivation of Shubnikov groups was first accomplished
in 1953i by A.M. Zamorzaev (2,3,4). In 1954 the authors
derived them by the more crystallographic method, which had
Card 2/3 been used in a short textbook of Fedorov groups by N.V.Belov.
In these two papers one can find all the theorems which are

Shubnikov groups (Cont.) 70-3-1/20
of use in this derivation.
This is an almost complete translation of the text.
There are I table-and 6 references, all of which are Slavic.
ASSOCIATION: Institute of Crystallography, Ac.Sc. U.S.S.R.
(Institut Kristallografii, AN SSSR)
SUBMITTED: March 9, 1957.
AVAIIABLE: Library of Congress
card 3/3

AUTHOR: Belov, N*V* 70-3-T/20
TITLE: Now silicate structures. (Novye si1JkatrWke struktary)
PBRIODICAL: 'MvistallogmMya" (Crystallography) 19579,
. V01029 NO-39 PP- 366 - 370 (U.S.S.R.5
ABSTR&OT: Numerous textbooks on cryotal. chemistry and mineralogy
contain essentially much materialf published by W.L. Bragg
about twenty~_five years ago,and do not reflect advances made
in this field during the last 5 - 7 years. Particularly,
much important work, which has been carried out in the Soviet
Union, has not been included in book literature. In this
paper, a short review is given of about 10 new silicon struc-
tures, all from the authov's laboratory, uhich represent a
substantial addition to the classical system of silicates of
Bragg; particular attention is paid to six types bf chain
structures at piesent known instead of the two classical types
and also the reasons which govera their existence.
.iSome 'of these new silicate structures malm some of the class-
ical structures not so unique as-they appear in textbooks.
Card 116 Dioptase, CaAS'601~ 0 GH201 is, after beryl, another instance
of a silicate with sixfold rings of Si tetrahedra. Katapleite,
Na 27'rlS'3091 02H201 is also, after benitoite, the second

New silicate stnictures. '(Coat,)
70-3-7/20
instance of a silicate with threefold rings Isi 3093-
Gexd 2/6
Another representative of silicates with endless chains
SiO3100 in every respect similar to those in pyrozenes is
raTnsayite, NA2Ti2~'209- D~stead of the metasilicate ratio
Si:O = 1:3, which is characteristic for pyroxenes, we have in
ramsayite Si:O-= 1:4-1/26* Three oxygen atoms out of every
nine do not partici ate in. the Si-O radical, and the correct
fonrala is NA2~i203F-2061'
Important is the discovery of another Si-O radical with
hexagonal,symmetry, which is two-storeyed i 120 30 9 in the
rare Swiss mineral milarite, KCa2(Al2Be) P-120 301 A reser-
vation about the rarity of this -t--.M Oses its 5i 'fican e
after the discovery that similar rings (Bi.Al) 0 juare c
12 30 -
characteristic for uniaxial (high) cordierites as compared to
biaxial (low) cordierites with rings [(Si,Al)60lj of the
Iberyl type.

Card 3/6
Now silicate stru6tures (C=t.) TO-3-T/20
'Pyrosilicatel groups U2'~ have been found in a number of
minerals. In some of them the existence of these radizals is
suggested by the formula itself: cuspidine, Ca4(S'2oY2$ til-
leyite, Ca 5LS'20,,I(CO3)2; but in such minerals as ilvaite,
epidote, zoisite these groups were a surprise as the formulae of
these minerals gave no masons to suspect their ortho-proper-
ties. In ilvaite all Si atms are in these pyrosilicate groups,
but in epidote and zoisite the same structure contains two
kinds of radicals: (SiO land (SiO41. The eighth atom 0 in
il-vaite and the twelfth in epidote-zoisite do not enter the
Si-O radicalt and the corresponding formulae are:
and CaFe*** Fe2..* O(Si20710H (ilvaite)
Ca2AlgeO[SiO4j(S'20?IOH (epidote).
The chains (SiO31.0 in pyroxenes and ramsayite are identi-
cal, but in the p~Toxenold-wollastonite, CaSiO 3, we have

New silicate structures. (Cont;) 10-3-T/20
disc-overed a radical.of the chain type with the same fo=ula
i0 lab but with very different geometry. When doubling the
LS 3
pyroxene chain by a plane of symmetry we obtain a lath of amp-
hi-bole with a formula. 4 SiO ~ 0 =18i4 011100 , but when doubling
the chain of the wollastonite type
type, 6 Si%5 - 0 = 18:1601?3op owhich
xondtlite 8a 6(S'60171(OH)2'
,Instead of two classical types
guish now six of them: three with
we obtain a lath of an other
is characteristic for
of chains (Bragg) we di tin-
the same formula Isio 3100
but with different geometries and three doubled types (laths)
with formalae: [S'20,1,, (sillimanite), (Si401130,(amphiboles),
[Si60171 QO (Xonot"te)
The Si-O radicals are strong but not rigid, and accordingly
morphological peculiaritbs of silicates depend on the config-
urations of catUons such as Mg(Fe), Al., on one sidq.-and Ca(ifa)
on another. In all stretched (columnar, needle-like) minerals
Card 4/6 we find endless colilmns of Mg(Fe) , Al-octahedra or of Ca-oota-
hedra. As a result of very different lengths of edges in these

New silicate structures, (Cont 70-3-7/20
two kinds of octahedra (2.8 and 308 2) differeit Si-O-radicals
arrange themselves along the cathion columns: pyroxene and
amphibole chains along the edges of Mg(Fe) and Al-octahedra,
wollastonite and xonotlite chains (laths) along the edges of
Ca-octahedra. In silicates with groups L43?1 these groups
arrange themselves with their axes at ri6ht angles to the
columns of Al- or Be-octahedra (ilvaite, epidote) but parallel
to the columns of Ca-octahedra (cuspidine, tilleyite).
When cathion-octahedra are arranged in sheets, as in micas
and similar TaInerals, Si-tetrahedra form also sheets; but
these sheets are (psdudo) hexagonal with sixfold rings when over
sheets of Mg(Fe) and Al-octahedia, but tetragonal with altern-
ating tetragonal and octagonal rings over Ca-octahedra (apophy-
llite). The following step in Ca minerals is the association
(enndensation) of these sheets in three-dimensional frameworks
also with tetragonal and octagonal meshes with are character-
istic for felspars.
The great partition of rock silicates in two categories,,
melanocratic with high densities and leucocratic with low
card 516 densities, is entirely determined by the size of cathions and
their octahedra. The small Mg and Al cathions associate with

New --si1ieate,,Stxuctu=s. (Cmt.) TO-3-7/20
close-packed (pseudo) hexagonal Si-O radicals. whereas the
large Ca cathions and their octahedra associate with (pseudo)
tetragonal.Si-O frem s with large meshes. The size of Mg
and Al cathions is dmilar to the sizes of a great many cathions
a large part of which are coloured. The (isomorphic) entrance
of these cathions in (Mg, Al)-minerals results in their melan-
ocratic charader. The large size of Ca cathions restricts the
posaible isomorphic substitutions only to Na and K and hence
leu4eratie characteristics of felspars and a -a 11 number of
similar minerals. (This is an almost complbte translation of
the text.)
There are- 4 figures and 16 references, 12 of which are Slavic.
ASSOCIATION: Institute of Crystallography, Ac.Sc. U.S.S.R.
0,01,
(Institut Kristallografii AN Ss&-JALJ
SUBMITTED: March 11, 1957-
AVAILABLE: Library of Congress
card. 616

- i U r ),
AUTHOR: Belov, N.V. 70-5-19/31
TITLB: On a Course in Geometrical Crystallography for Physicists
(0 trurse geometricheskoy kristallografii dlya fizikov)
FE'RIODICAL; Kristallografiya, 1957, Vol.2, 140.5, pp. 6?8-685 (USSR)
ABOTRACT: Crystallography, lying midway between physics, chemistry
and mineralogy, was formerly closer to mineralogy and is now
closer to physics. Teaching courses have correspondingly moved.
Points are here discussed in which more understanding of the
bases of crystallography should be shown when the subject is
being taught to physicists. The Miller indices are more than
coefficients in the equation of a plane. By introducing a
fourth (dummy) index the three-fold symmetry of expressions
in the appropriate system can be preserved. The symmetry
groups T=23, 0=432, 1=532 can be demonstrated by spherical
triangles on a sphere. The combinations of axes can also be
best seen in this way. The meaning of the term d1hedron needs
c-larification. Group theory, useful elsewhere in physics,
helDs in the combination of symmetry elements. Fedorov's
terminology for certain solids is defended against those who
would prefer purer Greek terms. The use of models is very
important. 'The deduction of the crystal classes 'based on a
1--ardl/2 five-fold axis is of pedag6tic value. The more mathematical

?0-5-19/31
Un. a Course in Geometrical Crystallography for Physicists.
theory of polyhedra is useful and interesting to physicists.
The'demise of the Fedorov notation (L4, P, C; L41 4L2, 5P, 0;
.t the international symbols have great
etc.) is regretted bu
advantages, although they do not describe'symmetry without
introducing a particular aspect. Group theory should be thoroughly
inculcated. The rhombohedral system cannot be entirely absorbed
in the hexagonal as it is pseudo-cubic. The change of co-ordinates
with oblique axes is rarely carried out in geometry but is an
easy and frequent operation in crystallography.
There are 5 figures and 3 Slavic references.
ASSOCIATION-. Institute of Crystallography Ac.Sc. USSR.
(Institut Kristallografii AN SSSR)
BJJI'--ED: April 18, 1957.
"J, 3:
- J A "OIE: Library of congress.
t .-,rd 2/2

14 1.W k ~ -
AUTHOR: ~eio'v', *N*V. ?0-6-2/12
TITLE: On the Groups of Tetartohedry (T=23) and gyrohedr7 (0=432).
(0 gruppakh tetartoedra (T=23) i giroedra (0=432).
PERIODICAL: Kris tallo graf iya , 1957 , Vb1..2,Wo.6 pp. ?22 - ?24 (USSR)
ABSTRACT: The inter-relationship of the elements of symmetry in the
Point groups 23 and 432 is expounded by a treatment like that
in Ktistallograftya, Vol-1, P-3601 (1956). The group 23 can
be represented by a cube, each face of %nich is halved by an
oblique line (the whole system having the symmetry 23). The
first face is marked 1, hkl and the other equivalent faces are
marked with the operation deriving them from the first and with
the equivalent index as follow 2., hrcT ; 3-+, IkFi
1hk 3-1 +, klh 3-1
3+++" ++ -+-I M ; 2z ) HE 2y Ekl
3-1 IRk 3 la ', 3-1 k1-h The
2 k1h ; 9 1
simplest figure is the pentagonal dihexahedron. The group 432
isiimilarly treated (there are 24 faces forming a pentagonal
tetzhexahedron) and the additional elements 4 x 4y, 4. and
their inverses appear. The full multiplication table for the
(;ardl/2group 23 is written out and shows how any two of the above

70-6-2/12
On the Groups of Tetartohedry (T=23) and Gyrohedry (0=432).
mentioned 12 operations when multiplied together give a third
which is also a member of the group. For 432 with 24 elements
in the group the table 24 x 24 would be too big to reproduce
usefully. Specimen combinations from it are given.
There are 3 figures and 2 Slavic references.
ASSOCIATION: Institute of Crystallography Ac.Sc. USSR.-
(Inatitut Kristallografii AN SSSR)
SUBMITTED: October 7, 1957.
AVAILABLE: Library of Congress
Card 2/2

1 ?0-6-3/12
AUTHOR: Belov, N.V.
TITLE: of the Primitiveness (Emptiness) of the
Fundamental Paralldepipbd andsCrystal Lattice (Teorema
primitivnosti (pustot~) asnovnogo parallelepipeds.
kristallicheskoy reshetki)
MRIODICAL: Kristallograftya, 1957, Vol.2, No.6, pp. 725 - ?27
(USSR).
ABSTRACT: The theorem that in a crystal lattice all points with
absolutely identical surroundings must lie at the vertices of
the fundamental parallelepipeds whose sides are the 3 shortest
translations and that no points can occur inside or on the
edges or faces has been proved, although it is an apparently
obvious theorem, only at great length. In 1951, Belov (Dokl.
Ak.Mauk, SSSR, Vol.78, Ao.1, 1951) produced a proof occupying
only 3 pages but this was not as elementary a one as is poss-
ible. This proof satisfactorily excluded all cases but those
of body-centering and face centering. Calculating the lengths
of the face and body diagonals readily shows that the existence
of an extra point contradicts the assumption that the parallel-
epiped was chosen as defined by the three shortest translations.
(;ardl/2 If there are two extra points they can only lie one-third and

70-6-3/12
The Theorem of the Primitiveness (Emptiness) of the Fundamental
.Parallelepi&d of.6 grystal-L6ttice.
two-thirds of the way along a body diagonal. It has been shown
(Structural Crystallography,,,m.V. Belov, 1951) Thai in the
primitive parallelepiped 60 ' ~ a , 0 , y < 120 so tat one-
third of the longest diagonal is less than o.~72e and this case
falls. Three extra points can only lie at the centres of three
faces and are similarly excluded. If there are 4 or more points,
then they must lie on a subsidiary lattice rationally related
to the basic parallelepiped and on this basis the case can be
excluded.
There are 2 figures and 3 Slavic references.
ASSOCIATION: Institute of Crystallography Ac.Sc. USSR.
(Institut Kristallografii AN SSSR)
SUBMITTED: October 7, 1957-
AVAILABIZ: Library of Congress.
card 2/2

LZMAT, Nev.l akadaulk; LIRNW, T-I-t doktor Coologo-mineralogicheskikh muk,
1--mmmumme
&orgy sources of geochouleal processes. Prlroda 46 uojilwo w
'57, N-MOi6t6) -
1, lustitut kristallografti AbLdeuii uaut SSSR (Ka*va) (for Rialov).
2. Leniagradeldy CosudaretvauW urAverattet iu. A.A. Zhdanova (for
Labed6y).
(Gooohomistry) (Thermochemistry)

I;;lQ 1e 9fk-t~Tr,-"
the
zi,
IM

BELOVIP #
Studies on structural mineralogy, Part 8. Min.abor. no.1l.-
3-21 157- (MIRA 13:2)
1. Institut kristallografii AN SSSR, Moskva.
(Crystallography)

LZBEDEV. V.I.; BILOV. N.V.
Goncerning O.P.Mchedlov-Petrosianis critique of the hypothesis
of the accumulation of solar energy by crystalline substance.
Min.sbor. no-11:371-374 1571; (KUM 13:2)
1. Institut kristallogmfli AN 838R, Moskva.
(ogler energy)

SOV/20 1,14-4-5~/63
AUTHORS: Favlov, P. B. and Belov, 11. V. Academician
TITLEi The Crystalline Structure of Herderite, Datolite and Gadolinite
(kristallicheakaya struktura gerderita, datolita i gadolinita)
PERIODICAL: Doklady VT 335R, 1957, Vol. 114, Nr 4, PP. 884 - 887 (USSR)
ABSTRACT: The structure of herder~ite CaBePO F was solved by-ditect methods
G
1y determire d temperature-coef-
(references 1, 2). The simultaneo
fidient 0,50 was used to exclude the temperature-factor from F
ko
15 among the afterwards calculated (absolute) individual ampl
~
>0,5- Yor 56 (36 C
had a value of %) of largest U 0
tudes Uhk
o
sions Viere found according to the method of inequality. Again
checked according to the statistic method by Zakhariasen (references
1, 2) they formed a supporting group. Based on the latter the signs
of the other F were merely statistically determined. Altogether
bk
o
128 from 155 signs were determined with a probability of not less
than 71 %. The electron-density-diagr'am built up on the basis of
the F . provided with signs, in a projection along c - 4,80 1, at
u
o
Ca-peaks and
elded a wel4resolvable image with powerful
once ~i
2 kinds of tetrahedrons, One half of these was identified as P, in
Card 1/4 the other tetrahedrons with a triple axis normal to the projection

SOV/20-114-,41456/63
The Crystalline Structure of Herderite, Datolite and Gadolinite
under the 4- 0-(F)-atom lying on it a Be-atom was assumed. Pigure
I gives the structure of herderite according to the atom-coordi-
nates (table 1). Figure 2 gives the same structure in polyhedrons
of Pauling and this proves the existence of two layers. In the low-
er layer lie (somewhat deformed) twisted cubes, in the upper, layer
a net of bound PO tetrahedrons in one orientation z.,Lnd tho BPO F_
tetrahedrons in ;Aother orientation. After thc deciphering of ihe
herderite-structure was concluded, its great similarit,Y with dato-
lite earlier interpreted by Ito (reference 5) became evident. The
coordinates of Ito are Civen in column 2 of table.l. As far as the
structure was solved by Ito by the method of the (medium-) heavy
atom tho authors again calculated it by means of the same direct
2-stige method, but with the use of a much larEer number of re-
flections (150 P as against 95 of Ito) in the range up to
(gk
sinla 1,1 .2 radiation). The application of the direct meth'od
to the projection xz was especially suamseful. Here the B-atoms
distinctly appeared. The obtained atom-coordim tes are given in
the third column of table 1 The difference as compared with Ito's
results is up to 0,025 (011; � in z-coordinates). The tetrahedeons
of two types became much more reCular. The same direct method (with
Card 2/4 inequalities in the first stage) was employed in the deciphering-