SCIENTIFIC ABSTRACT MELIKHOV, A. D. - MELIKHOV, S. A.
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December 31, 1967
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SCIENTIFIC ABSTRACT
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1 7 1. - -1 ~t-,-.(h
1.111KHOV, A.D., Cnnd Yet Sci--(,llis.~;')'
ir,
1 c, ra. tD d
Noo Vo- Acnd -,dn of 4'~Fr USSR.
96-50,114)
92
KOLYAKOV RSFSR, prof.; M~4IKHOVl A.~6,-
Y Ya.Ye., zasluzhennyy deyatell nauk 11 - "Y
kand.veter. nauk
Rapid diagnosis of the anthrax 4crobe in water. Veterinariia 37
no.3:91-84 Mr 160. j (MM 16:6)
1. Moskovakaya voterinarnaya akademlya.
(Anthr*x)
IMMMIMP A. D., (Candidate of Veterinary Sciences, All-Union of
Experimental Veterinary Medicine)
The role of trichonaaads in infectious atrophic rhinitis In swine.
Veterinarlya vol- 38, no. 9, September 1961, PP. 36-
MILIKHOV. A.D.. kand. voterinarnykh nauk
Role of trichomonads in infectious atropl4e rblaitiscif
swine. Vetarinariia 38 no.9s36-37 3 961. .- ... WRA 426)
1. Voesoyuznyy institut eksperimentallitay vot4rinarii.
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AP5019455 SOURCE CODE: UR/0378/65/000/003/0044/0052
AUTHOR: Melikhov. A. N. RYq_r3r_e_ntqe_V, Yu. A.
ORG: none
TITLE: Expansion of graphs and finite automata with respect to the operation or mul-
tiplication
SOURCE: Kibernetika, no. 3, 196S, 44-52
TOPIC TAGS: graph theory, multigraph, isomorphism
ABSTRACT: The multiplication of two graphs together is considered. It is demonstrat-,
ed that this operation can be extended to finite automata.* It Is associative and -
rphism. Two s:,
tisfies the rule of commutativity with a precision approaching isomo th -
rems are formulated setting forth necessary and sufficient conditions for expansion of
a graph into the product of two graphs. The application of these results to the ex-
pansion of finite automata into the product of two automata are discussed hnd a theoremi
governing this expansion is presented. Orig. art. has: a figuresl 19 formulas.
SUB CODE: 12/ SUBM DATE: 2UDec64/ ORIG REFS 003/ Mi REFS 001
UDC: SIMS-S19414
C(.,d 1/1 ZC-
KALYAYEVO A.V. (Ta anrog); DVORYANTSEVp Yu.A. (Taganrog); MIKHOV, A.N.
(Tagaarogi
Use of graph theory methods in the synthesis of potential networks.
Izv. AN SSSR. Tekh. kib. no,4:65-69 Jl-Ag 065. (KIRA 18:11)
MSLIKHOV. B.T., inzhener.
Drying a transformer of medium capacity with a zero-sequence current with-
out vacuum. Nnergatik I no.2il8-19 Jl '53. (HLU 6:8)
(Electric transformers)
WALIKHOT, B.T., inhener.
Shortcomings of PS-10 and 92PS-10 drives.
(Ijectria driving)
Awrgetlk 2 no.5:20-ZI Ky '54.
(WaA 7:6)
SOV-91-58-10-23/35
AUTHORS: Melikhov, B.T., Engineer, Illnitskiy, N.G., Technician
TITLE: Defects in Type SAZU-143 Electric Mqters ( 0 nedosta;tkalch elektri-
chesk1kh schetchikov tipa SAZU-143)
PERIODICAL: Energetik, 1958, Nr 10, pp 22 - 23 (USSR)
ABSTRACT: The author complains that out of a large consignment of type
SAZU-143 electric meters received by his thermo-electric
power station, produced in 1957 by the Leningradskiy elektro-
mekhanicheskiy zavod (Leningrad Electro-Mechanical Plant),
50% on inspection proved to have the spindles of the moving
parts bent. The cause of this defeat was that the attach-
ment of the magnetic circuits to the housing by means of
2 M-4 screws was not reliable. During transportation, the
magnetic circuits became displaced, were forced against the
spindle or disc, causing the latter to become bent. The
author asks the Leningrad Electro-Mechanical Plant to use
a more reliable method of attaching the magnetic circuits.
1. Electric meters--Production
Card 1/1
MZLMO 9 nsb *
Sluplification of relay-protection circuits and electric autozatIc do-
vices and Improvement of their reliability. Mak.sts. 30 no-lz74-76
ja 159. (NM 12:3)
(Automatic control) (Blectric relays)
MMKOOTO B'TOO insh,
.
- -
Standard designs of electric power distribution devices and substa-
tions. Blek, sta, 30 no.2:60-61 7 159. (KM 12:3)
(Blectric pover distribution-Standards)
-HELIKHOVp B.T., inzh,
DVrovement in the sche=atic of automatic field quene-hila generators.
Blek. sta* 31 no.22:77 D 11609 (KIRA 14: 5)
(Electric generators)
s/196/62/000/001/010/013
E 194/E 15 5
AUTHORt Me I ikham-El-T.
TITLE.- A frequency controller with photo-resistance based
on frequency meter A -340 (D-340)
PERIODICAL: Referativnyy zhurnal, Elektrotekhnika i energetika,
-7 no.lj 1962, 28, abstract 1E 187. (Elektr. stantsii,
3-2,_no-7, 1961, 81)
TEM The main component of the controller is a pointer-
type frequency meter type 0-340 which uses as pick-ups semi-
conductor resistances type IJCX-1 (FSK-1). The controller
circuit is shown in the figure. The controlling element receives
a signal from the photo-resistance fitted on the frequency meter
scale. Holes are made on the scale at points corresponding to
frequencies of 50-15 and 49.85 c/s and light passes through these
from a lamp. The light ray can be interrupted by the instrument's
pointer, so providing a signal. The command signals are
obtained by means of a relay circuit.
(Abstractov,s note: Complete translation.]
Card IIAZ
A frequency controller with ... s/196/62/000/001/010/013
E-194/EI.55
Figure caption. Schematic circuit diagram of automatic frequency
controller. 4bl and io 2 - photo-resistors type (OCK-1 (FSK-1) I
Pn I and On 3 - intermediate relaysi JI - signal lamp in fitting
AC-DC-38; Pr - current relay type 3T-521/02 (ET-521/02);
P11 4 and P11 5 - intermediate time-de lay rig lay type P 3 513/12
(RE-513/12) with additional contacts; P4 - frequency meter type
D-340, 1WP4 and 2WP4 - busbars of frequency controller;
UJ4 a andLUlic - busbars of voltage transformeral 111Y -
changeover switch type 1(4)(KF) for switching the controller on
and off (on the control board of each generator)i 2 ny - manual
remote-control key type !in (UP) operating an electric motor to
control the governed turbines A and 08 - electric motor
controlling the turbine and its field winding; Rl and RZ - the
additional resistances.
Card 2/ ~2
MELIKKOV, F.. glavny7 Inzhener.
I---
If you gromised, you must keep your word. Sov.profoolusy 4 nc.8:
24-26 Ag 156. (KMA 9: 10)
1.Predsedatell koulssil po proisvodstvanno--maosovoy rabote Panfi-
lovskoy maohino-traktornev stantati.
(Panfilovo (Stalingrad Province)-Rachine-tractor stations)
MIKHOV, uchitell
-------
Affaratus for the preparation of amonfum chloride* Khlsu 'w
shkole 15 no.4:72-73 JI-Ag 160. (KIRA 13:9)
1. SredrMa shkols, Io*5j go Upetake
(Axmtnqn- chloride)
MELIKKOV, F.F., uchitell
Ways io activiato extracurriculair work. Kbim. v sbkole 16
no.6:7341.0 N-D 161. (MIRA 24:11)
1. Srednyay shkola No-5., Lipetsk.
(Chemistry-Study and teaching)
110=1MY, GsAe
-;~
? -.--
Ailldesor attachment for breaking up frozen ground. Rats.
lzobr. predl. v strei. no..112:20-24 135. (HIMA 9:61
(BuUAozorn) (Froze& gretud)
CHZHAH SWAN' [Chanc Hsfian); S.N. . red.;
YMUSKATA* I.N., takhn.red,
Elavigation In ancient China] Kbrokhodstva v drevasm Kitae.
Koskwa. Gos.izd-vo geogr.lit-ry, 196G. 69 p. (KERA 13:5)
(China-Mavigation)
14MKHOV, I.D.p ved. red.
[Equipment used in the removal of dust in mines; an album]
Oborudovanie, prizeniasmoe pri kompleksnom obespylivanil
rudnikov i shakht,-, allbom. Moskva.. Nedra# 1964. 309 p.
(MIRA 18:6)
DAVYDOV, Stepan Aleknandrovich; RUBTSOV, Vladimir Konstantinovich;
DRAIDYUK, G.P., doktor tekhn. nauJp retsenzent; FELIKHOV,
I...D., ved. red.
[Vultiple-row blasting) Mnogoriadnoe vzi-yvanie. Moskva,
Nedra, 1965. 9.. p. (MIRA 19-6)
KOZLOVI K.K.; KONDRATIYEV,
Internediate traneformation of austenite. Mletallaved. i term.
obr. met. no.4:8-10 Ap 165. (14W 18:6)
1. Volgogradskly zavod "Krasnyy Oktyabrl" i Volgogradskiy
sellskokhozyaystvennyy Institut.
ILI
No Ili
jail
& 6.4 9 1:01 0', v
its
Ali
V.41 r,
12
8
10 191 1
W ill IS
MERKULOVk, m. s. and , I. V. (Mbscow State University im M. V. Lononosov)
I,TJ,IKEDV - U
"Coprecipitation of lead and Strontium Isotopes 'with Sodium Chloride Cx-istals"
ancs Radiation in GbMistr-jr, colle-aticM of Pap;=z 0:0 2nd
AU-Lkiian Sci.Tcn:C-%. amf. M LISS CIA' Radioactive and Subla Xzoto-,Oz a--d
-SGR
Radlatica In WaUcaal Fcm=y and Science, v4scotr, lz,4-vo- All 6 2.953, Nft
-11a volu= ;ubllshet3 t:-.a re-po~'n of Vj=jS1-X-Y c': t1l-~
azid I""" Sc-1 '7QC.'l Ccg,'-r C.:L Use v;~- F,~,Giz-=U-we anZ 6),able sa,.1 Altz~djat-lm
'in ScIaL--e etd th-c Hatimal Zc-=Y~;y, cr'pow%orcd by A;~zd. GA. [z earl
Admin f" Utilizatim of At---!:Ic Bnvr~rj u-arlar Ca-mcil cf Minint.~r-q
4-1,2 P-P.-Il 1557.
HELI MMXUWVA, M.S.
Some regularities of the coprecipitation of radioactive ele-
ments with crystalline carriers. HadiokhImila, I no.6:626-632
159. NBA 13:4)
(Crystallization) (Radioactive substinces)
MELIKHDV,*I.V.; HEMLOVA, M.S.
Neebanism goterning the migration of micraquantities of cer-
tain elements into the crystals of a nonisomorphic carrier.
Hadiokhimila I no.6:633-636 159. (mm 13:4)
(Crystallization) (Lead--Isotopes) (Oadmium-Isotopes)
t
2t(G) 5(0),
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kUTHORS3 Nelikhov I V Kerkulova, K. S., SOV/20-125-4-44/74
Alf J'
v G ~
.
TITLE: The General 1&Us- of the Co-precipitation of Micro-impurities
During the Growth of Crystals (Obahchiye zakonomernosti
aocsazhdeniya mikroprimesey pri rests kristalloy)
FERIODICALs Doklady Akademii nauk SSSR, 1959, Vol 125, Nr 4, PP 845-847
(USSR)
ABSTRkCTs At present such crystals are widely being used in industry and
practice as contain small quantities of a non-isomorphoun
impurity. Such impurities In most cases form solid solutions
(with limited mixing possibility) with the crystal. The authors
endeavored to determine the rules of the distribution of
impurities in the crystals of the microcomponents with which
the impurities form a solid solution with limited mixing pos-
sibility and in the oversaturated solution (undercooled melt).
The authors in this connection investigated the mechanism of
the co-precipitation of the impurities with crystals growing
in an oversaturated solution in the case of an intense mixing
of the liquid phase. The first stage of this co-precipitation
Card 1/3 is interaction between the impurity and the separating surface
The General !Akaj of the Co-precipitation of SOT/20-125-4-44/74
Micro-impurities Diwing the Growth of Crystals
of the phases. An expression is derived atop by step for the
concentration of the iapurity in the surface mono-layer. For
the purpose of experimental confirmation of the derived rela-
tions the co-precipituation of small quantities of PbOl 2 and
CdCl2 with NaCl-crystals is investigated. In these investiga-
tions the oversaturation of the solution was isothermally
eliminated. The authors investigated the distribution of
Pb- and Cd-isotopes in the crystals and the oversaturated
solution of NaCl as a function of the concentration of the
microcomponent in the liquid phase. The quantity of micro-
components in the solid and in the liquid phase was determined
by the method of radioactive indicators. The results obtained'
by these experiments quantitatively confirm the theoretically
derived relations and pernit the followin# conclusions to be
drawns 1) The rate of the exchange between the surface and
the solution on the front of 'crystallization is considerably
higher than that of the diffusion of the components by the
surface-diffusion layer. 2) The quantity ofthe impurity
Card 2/3 going over into the solid phase during the growth of the
The General laws of the Co-precipitation of SOT/20-125-4-44/74
Micro-impurities During the Growth of Crystals
crystals and also the distribution of the impurity in the
volume of the crystals of the precipitation may be determined
from the formulas derived in the present investigation. There
are 2 figures and 5 references, I of which is Soviet.
ASSOCIATIONs Mookovskiy gosudarstvonnyy universitet Im. X. T. Lomonosova
(Moscow State University imeni M. V. Lomonosov)
PRESENTEDt December 29, 1958 , by V. I. Spitsyn, Academician
SUBMITTED: December 24, 1958
Card 3/3
- 1 24369
5'b S/186/60/002/002/003/022
0 T i 10,-,6 - Mzlikhov, I.V., Chlic Hgiao-Hst and Merkul~-va, M.S.
Cy-i thc problem of Lhe copr-~-_ipitataors -)i a n,,- -.o-
at )ii c I a iri,-A
,s,tuii durinz the cry.-:italliz
w~ _q T am ti _j;~ upe " s A t ur a t e d i z. n
0 1) 1 A' ..
I.: I'T - Pii~ i r,)biem of ncpra._~_pitati~.ri of an oamixture during
r~,voval of a supersitufrtinn of a solut~..-ii :.117 1
",,teen di!4_~ussed in the literatuz-
'L,~: detin'_*c ars the fa!~?ora f
i rin x t be :xckm i x -t ux e b s twe -3 rs r. h a -3 t! S
'Ic'ns of 1,, n 11, As.
f 4 ii S
i!tz csn Oit. :~ryNfalliza~.icn .2 -he -ase
f a M i dm A, x 1 11 1 ysts%i
:p;tatra_c. formed :~n -,;;,,,thermal n c w.
inc.. a t f a a up _- r a Ot e d s cs I u t n h
h~- d-L-Kribui~~,un of an aumtx-ure ~an t,-, ~ir. s_j L11bZZ,;M ~tnt
I un oxia ~ &pendi ng -_ n the ~,~n A- y L
U b :Surf a c e ener gy .i aA Je-nat c, f t r~ -. .! , _-15
v,3 -
and the tcirmat,,,~n j~ r,'A
sli ~,ucy ~/c 2 2
On the pcci~ I%;.Fn Of' the E071/E433
t e ct,,p e y ft t I ~.r e e !. cBy varying the f ac lors , x r~_ : rj-~, :,I L ;.Zct AOR
c~f -the a-.)I-*d phat~r? diaz'Lng the pf-riod of fin ~xverlment .'ar.
tainad~ Ork tne other h-ind, 'the expe! imerit_-11
thc pr~~,.
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-ith gi ow ing ~ z ys-.a I s ~f -a ata , rcl: .,mpcnsrtt -,In be i t u-J
~iuthr,ra ,,-.vc-a t iga ted ~ he 1PI-Cc 1P 11 3-.1 tA, lri ~~ , " - quer''. t 1
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41_tvttz~ tqkt~s pla ~v we X 1) c XT. t r, , a A
z,~:,:hni.que was dessribed ttar i 4 ;T RTd,ckh ini~va 1 . 1, 3 ( 1959)
- t -- -,, ' ,, 9 j 91r wat. found that
.xd Raf.17x Radiokhimiya, 1, 6, 611~
.1 11 r Ing _- r y4~ t al I I za 11 1 on of -,i a~A i ~Arii -A-L 1(41 e'Lul Ion, With All
5%aperaixturatio:i of 5 to Z15, Lil a screvr mixer
k2OO rpm) a precipitate i!i foyir,,2~d practl:ally does not
,-~t.rvstalli.ze Over a period s:. 6 houra A,~ The tninim.m
Sizo of thp cry-_;.talo ~t,llout 2,5 X 10' cm) wa5 consideratly
!~-trger 1-han tha il.?e (1.8 X 10-3 sm at 20'C)
v Iu -n 1 6 fu I Tj ~- J_;~absequ~E:n*ly. the cii-stribation cps' micr..)-
b--.~~vrt~k,n the tolid and liquii
z 14
89
rq, 6 60/002/002/001/022
S/18
On, t he
p*roblem of. the ... 9071/&433
'MAS 'S Md. The initial concentration of thallium ura a
t
J., t.~Lned..,cp4oric;o~,ricaXly i4nd tikw final content of. tha 1.1-Mid in
tne juid.phases 1,ras deter;,,in;d radio,iietr-~cally with an
+ 3%,~UqinS T120
On th!.~ basis of the experimental
data' the coefficieixt of heterogeneous diFtributfc,-. accordirq to
Doernei~ and Hoskins' fornmla (Ref.18: J.Am.Chem.,Soc., 117, 662 52))
4rid. the practical coefficient of dietribution D according 1;
pr
Malopin Is forthula.(Ref.l: lzbr. tr.,I, Izd.AN SSSe?, m. - 1,
calculated. It was found that neither of the above vio
nu la o'
-f -describe, the covirecipitation of thalliwi chloride wil
s od' iui.-) chloride. The'fact that thallium chlorido is not 5 art.,
nci.))itated by adsorption wam r-h2c1ced by coi:rccil it t; n
1`.experimkints in' the presence of Al-~' io-i- It is 'Colicli-vied -that
the distribution of tb(., "ck.ijzcture in t1te soli(I itate is
v
hetarop~cneous. At the tt. inni-xx of crystallization t1iti
concentration of tbe iC-j.x,:ijr(e A.n the 5,040 -~-tlte is high, orith
,.:idecrsasing degree of ~rBatL!:.,tiort it d-~crca ---.a -.%ml then rownint5
c-onstant.. There are f a-,~urn T , 2 tab. i~ x-enc e z
13 Soviblt-bloc and U) non-`oviet-bloc. lOvxr Citi references t r.~
English language publications rtad' as to I I jiv
Cdtd 3/4
S 1 3% 0 0 2 0 0 2 0 Cj G
On 't.he yrDbIpm. of tl~'-- F,('-7A'./ F. 14 3 3
A.M.Voibuoh, K,kowley, Anal.Chcm. , 3G, 1605 (1950)
Anal.CLom., :~7, 1770 (1957~1
Spars,
1068 (1953).
C.U13, -r
A,.
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I 1:T0 A0517AI30
AUTHOR= Malikhov, I. V.
TITLE-- Co-cryatallization of a micro-admixture with growing crystals
PERIODICAL: Radiokhimiya, v. 2, no. 5, 1960, 509 - 520
TEXT: The author and co-workers have conducted experiments for in-
vestigating the effect of mass-transfer on co-precipitation, and also, the
interaction of the admixture with the interface surface of the various
phases. A theoretical evaluation is given of the effect of surface pro-
ceases and mass-transfer in solution form on the co-precipitation of the
micro-admixture with crystals of the macrocomponent, growing in an over-
saturated solution, and the causes are traced of the homogeneous and hetero-
geneous distribution. The significance of the study of co-crystallization
of the micro-adnixture with the growing crystals of the macro-component is
pointed out for developing separation methodsand the concentration of
radio-elements. Referring to Ref. 11 (W. P. Slichter, R. C. Prim end I.A.
Burton. J. Chem. Phyq. 21, 11v 1987, 1953)v the author states that in this
work the interaction of the admixture with the surface of the solid phase
Card 1/15
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Co-crystallization of a micro-admixture....o A051/A13O
was described by the relationship C admT ",\C admL(1), where C admT and C admL
are the concentrationsof the admixture on the surface layer of the crystal
and in the solution, adhering to this surface, respectively, A is a con-
stant. The author of this article has investigated the co-precipitation
with crystals growing comparatively slowly, so that at any given time there
is an equilibrial distribution of the admixture between a layer A and the
solutiont adhering to this layer, and between a step and area of layer A, ad-
hering to this atepl when C admA ' AC admL (2), where CadmA is the concentra-
tion of the admixture in ayer A, away from the step, A - a constant at the
given composition of the solution and temperature, (Ref. 12: I.V. Melikhov,
M.S. Merkulova, Radiokhimiya, 1, 6, 627, 1959) and C = GC' (3)
adm S admL
where C admS is the concentration of the admixture, captured between the
mono-layer, C' admA - the concentration of the admixture in the area of layer
A, adhering to the step, G - a constant at a constant temperature and com-
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Co-crystallization of a micro-admixture .... A051/A130
Pq
position of layer A. The said concentration values are found by solving
the diffusion equation of the admixture from the voll:me of the solution,
to the surface of the crystal (through layer 3) and by the surface diffu-
sion of the admixture from layer A to the step. The first period of the
macro-component crystal growth is not gone into, and in the second period
nf this growth it is assumed approximately that the diffusion of the ma-
cm-3omponent and admixture during the elementary growing process is sta-
tionary and the concentrations CadmT and CladmA may be determined from the
relationships given in Ref. 11. The given equation for surface diffusion
is presented as follows: CI ad - CadmA (5),
mA e-A(1-G)+ G
where A - qadmA f, f - the linear rate of crystal growth, 'X - the width
of the crystal surface, where a concentration gradient is noted, qadmA -
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Co-crystallization of a micro-admixture .... A051/A13O
surface diffusion coefficient of the admixture. The theoretical derivation
of the diffusion differential equation-is derived as follownt From equation
(3) and (5) being equal: C GCadmA (6)
adm S - e-a(1-G)+G
The admixture concentration in layer S may change during the ion-exchange
process of the deposited mono-layer with the solution according to the
equation: T IV
Cadms m Caduk, Wsdt + WAdt (7)
0
where Cadm is the concentration of the admixture in the surface layer of
the crystal after ion-exchange of this layer with the solution during the
timeT . WS = kACadm is the rate of admixture transfer from layer A to
A
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Co-crystallization of 11aImicro-admixture S/18 YA 60/002/005/001/017
A051 130
layer S, W A ' ki3C aft, is the transfer rate of the admixture from layer S
to layer A; k Aand k. - the constants for the given composition of the so-
lution and temperature. Equation (2) and (7) lead to:
C A (1 - e-Tk S) + Ge-ksT C AIC (8)
adm [Lk -6 ) + _A] Aadm, admj,
T s G(l - e e
If the value ofT is equal to the time interval between the deposit of the
mono-layer on the crystal surface and the coating of this layer by the next
mono-layer, then formula (8) will determine the concentration of the admix-
ture transferred to the volume of the growing crystalt
d
Cadm,, (9)
Y
where dx and d y are the quantities of admixture and macro-component, trans-
ferred to the mono-layer solid phase. Using formula (9) and that suggested
Card 5/15
Co-crystallization of a micro-admixture ....
by Ref. 11,
Cadm 7?
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A051YA130
(11)
where xO and x are the initial amount of admixture in the solution and that
transferred to the solid phase, respectively, 17 - the solution mass; for-
mula 6 is described as:
~k
0
(12)
dy + ?
It is pointed out that the results of Phe integration of the equation would
depend on the crystallization conditibns: 1) C M (concentration of the macro
component in solution) = const, Cadm. i' const,.fs= const; 2~ Cm = const,
s s
f = const, Cadm const. at YJ A6coult, or 77 / const; 3) both
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Co-crystallization of a micro-admixture .... A051/AI30
CM and Cadm, are vari abl e, c aus ing the value s o f G, A, q ,6 x and
8 s
y also to change. Using formula (12) and formula (Ref. 20: W. Nernst,
Z. phys. Ch. 47, 1, 52, 1904)9
f yo - y - qb (17),
the following equation is derived:
dx F(y) (xo-x)A (18)
dy [exp pi (YO-y-lb) ~ I-AF (y)j + AF(y
where k1l. p
G exp a
F(y) = LA exp p + (YO-y- byj
k S [_(YO_y-4b)a [exp (yo-y-lb) (1-G)+ G]
~_P2
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Co-crystallization of a micro-admixture .... A051/A130
ab a - -x
P1 ~ qadme P2 = qadm,
The author points out that a general solution for formula (16) was difficult
to find and therefore, only certain cases were taken to simplify the equa-
tion. If the rate of growth of the crystal is such that the exchange of
each surface layer with the solution does not have time enough to take place
to any noticable degree during time then:
dx AG (x O_x) (24)
dy k_a'1(1-AG)+ AG]
Thus,it is shown that an investigation of the effect of the surface pro-
cesses and mass-transfer in solution, on the co-precipitation, makes it
possible to explain the fact of formation of the homogeneous and hetero-
geneous mixed crystals during their growth in a solution of moderate over-
saturation. The author further points out that the rate of exchange of the
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Co-crystallization of a micro-admixture ... A051 A130
8 layer with the solution has still not been clarified. It is assumed how-
evert in the light of facts given in Ref. 23 (L. Imre, Kollid, Z., 13, 1,
21, 1953), that there are three stages of co-precipitation in isothermal re-
moval of moderate oversaturation of the solution, containing the micro-ad-
mixture. The dependence of the quantity of the co-precipitated admixture,
on the mass of the macro-component making up the residue Cx - 9 (yA , may be
complex. a-perimental investigations of the crystallization of NaGl from
that containing PbC12 of an oversaturated solution were carried out which
showed that certain conditions during crystallization take place expressed
through the formulat
X kAAx OY (22)
k + A LA
S (7 ks 1yo - bq)j
Condition one: the only process determining the nature of distribution of the
admixture between the solid and liquid phases, is the growth of the residue
crystals; recrystallization of the solid phase is absent. A qualitative
evaluation of the part played by the small cystals during the removal process
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Co-!~crystallization of a micro-admixture ... A051/AI30
of the oversaturation was performed by comparing the rate fr of the change
of the minimal size of the crystals and that of the average linear rate f of
the crystal growth of the residue. f was found to be:
f = 1 4Z
dQ dx
(27)
where d is the density of the crystals, their geometrical surface,
k - the rate of oversaturation removal. was determined by difforenti-
dx dx
ating the emphirical ratio:
y = (yo - bq) -)( [I - exp (t - to)] (28)
v,here Y and ~ are the emphirical onstants, t - the period of induction,
(Ref. 29: S.V. Gorbachev, A. V. Shlykov, ZhFiR, 29, 1, 13, 1955). fte valuEs
of f and f were found to vary symbathically. The author further investi-
gated the ability of the NaCl crystals separated out of the over-
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Co-crystallization of a micro-admixture A051/A130
saturated solution, to recrystallization, leading to an improvement of the
crystal structure (structural recrystallization). These experiments showed
that within the margins of error of the experiment the structural recrystal-
lization of the solid phase is absent. Condition twos The period of dif-
fusion stream formation t I is insignificantly small. The period t 1 is eva-
luated by using the rate of growth of the crystals at the starting point
of crystallization f., the latter being only approximately calculated. WhEn
the value of f 0 is assumed to be determined only by the diffusion of the
Macro-component to the crystal surface, then
3qM (yo-bV)
f0 = Q
IS d
(31)
accor6ing to Ref. 19 (A. V. Gorodynskiy, Yu. K. Delinarskiy, DAIT SSSR, 114,
6, 1261t 1957). The latter formula is also used to calculate 8. t 1 is cal-
culated from formula
Card 11P5
ti
Mp
(4)
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Co-crystallization of a micro-admixture A051/A13O
suggested-Ref. 19, where qM is the diffusion coefficient of the mscm-c3m-
p
ponent in the solution. The calculations showed that the macro-oomponent
crystals, almost from the moment of their formationg grow in the oversatur-
ated solution under conditions of streams of diffusion of solution parti-
cles, to the surface of the solid phase. Condition-three: The change in
conditions of mass-transfer of the crystals to the surface during the re-
moval of the oversaturation process, does not affect the co-precipitation
of the m4cio-admixture (Pi - const, P2 - const). The author was able to show
that a change in the valike of;5 does not affect the coprecipitation of the
microadmixture with NaCl (Figure 2). The experimental results obtained
are explained in the following manner: during the first period of co-pre-
cipitation (0-