SCIENTIFIC ABSTRACT KOVNER, M. A. - KOVNER, M. S.

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SCIENTIFIC ABSTRACT
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,f hydics.. bonds in dirn.ric organic acids. X. UIT awl V. A. Churukuv (SAralov I'lliv 4 Ar Irml. Ak4d. Noook S.S.S R,, Nier. Fis. 14,435 4](19f$)) Theoretical. A'-)mia. scheme of potcsitial eurve% is intra. lured to explain the appm=cc of doublet fiftt~ in RamAn 4pectra, discovered by Hatucv. The distance Immeril the fines dcpcndq on the height of the polewhil bArrier betwero themin. Thisrctationshiph plotted Im formic, arctic, and isovalerk acids. S. Pak%wur 3 O I slolsiso - O 9 o 7 Ti :e 7 Till 7 77 Z 1 U 11 i 0 t li U V !0.0112l"110 a a LJ A 4WD a I. V*M%# Aus PVC04"'tS eel GA A 53 -00 ot -00 539.133 1 M5.74-1 7WO Vibration spectrum and force constants of diacetylens. A. ~00 Xavnw and V. T. Salosin. Dokl. A)md. 1~6idc, SM. 75 (No. 5) Olv4 .94 (1050) In Rumfilan. .00 00 FroTtancles are calculated froin a valence force field which includes "s 'S IntarectIons of nei0bourlag borAs and of adjacent anRl6s. A commrison =*6 with kom freauenclea yields the corresponding force oonstalts. L -Thcobs. ISIS' too woo LA SCIALON11CAL LITINATM CtAIMP11CATIP ~T, 1114101 "mini woo S&SOMO .1p cow cat ##41111 OW Ov All i U AT so As U All A I I IM 0 4 9 1 V 99 6 A W 1; 4 on, 3: 2 e 0 0 o si o 0 0 l is . ' 00 0 6 0 e n- of twzT:lA=! Inethme and sim"r 1404"", M. R, Twinivills Whtlltv- bbmkil Stlito Zhuf. Pit. Kbio. 23. 434 -, (1951 The secalm apation for n3ethAne 6 obtaluvil and 4--oorind by the vwmm bond metbW (Eyring. el W., C-4. is. Ski), Prm g=p4hromtkal comidentAXIS. the ftud;m rdft for wicumie-vibradonal tranoitions our found; it b concluded dot tha abscom of vibrational 41ruc- turc found In 0* OMMAC 4wtmm of methint (Cf. Dull. can and Howlt, C.A. 29. OW) ealmot be attributed to thme wiection rulm Howeva, mince the electronic Imb for alkneed transitkm an d*pDmte the exdtod CHA mol. inim I* unplabiv In tbt R;i~ confirmilon (theomi of )*bvi and TWkr) and thus dWsocn, listo radicals N tv Zftl ItAloliliq light abkwptkin (Unith, V.A. 32. Will 1. " thI2 vitwout, the ADWOM of 1111lictum ill the VICT. tn"lic Spreirum a C114 beemes c1mr. Mkhrl lkxj4i&rt Cot vactum modiLitics of the degenerate witirations of th nitin A" 14 ,, ndiSh ki ge tLI, tilA 438-43(1951).-A comparimut between the quantuln- mech. expression for the energy ll'ol C116. takinx into.1" count the refinements of Linnat and Wheatley on the one ham] (C-4.43, WA20and thersIrressiou ufStrmnuv(C,A.. 36, 34(P, 64131) giving Was a function of the normal co- ordinates anal the dynamic coeffs. k., a. and I an the other hand, can be made conveniently only for the degenerate vihFaLionsofthemol. Frornthiscomparisonandthevalues giveri by Stepainiv (k. - 0.7165 X 10-0 per sq. cm., I - , 0.039 X 10-4 per sq. cm.), it is possible to calc. the value of the exchange integrals; in at. units N~ - -0.49 and New - Nit m -3M. However, the value of a can Aso ix: caled. directly froto the quantum-nurch, elprM11111S., Ilas value Is 10 times that given by Stelianov. *nle dhCTtj)A11CV can be part4fly explained by noting that a 6 very wusitive to a small error In the ciptl. data which m:rvtd as the hasis for Slepanoy's calca . The main source of error lies never- theless in the assumption made in th resent work that the exchange iltegrals are ladeMdect Wthe C-H distance. It is known that, in the cast of water. an assumption of this kind is not permissible. Michel Boudart KOVIE'R, M.. A. M. Al. Kovner an,'. V. A. Chuenkov. Theory of the hydrogen bond in diiners of carbonic acids. P. 662 The N. G. Chernyshevskii State University Chair of Theoretic Physics, Saratov March 31, 1950 SO: Journal of Physical Chemistry, Vol. UV, No. 6. June 1951 6-0,0 0 V ; ; ; ~ x a -TOO0990009696 ; ; ; wwwwrITI: 0100000000000000000 u a W .. smu "Is 00 it ow ~i" 00 all, W*mw "W ,law MIA ~SSX. 72 Ta"ll?*j. 1. .44 2)5-7 (1951 we Ilk the lj~t absc 0 t " c 't vibm. lion "WtFurn inc wit a CoW It , tkyn lfwall I" twwSins into In Ictfs. timalm d p M%I$ 00 P4 5.; 6--f 00 00 10 00 . amt 31 6 1 w IM 9 A, Q *go : ; 0 0 0 : :- 0 0 a a *see 0_4 P w use zoo r. 0 0 Ice* es 'Oe U99 the- Ag~a . ~ ~a6-14MM)Wqh~.C*- Me a- SSSA 70. Z& a T=ww b-A Pw Awc 32 (A;,, wm A. nwW &G. 195-1) A, WA ,.*a - bor4 hft* 0. C_11 fi W2, onho. avow4k -M~ whk6 ftj ;p lb- ftot~ am Of lb* A!~w .3 Iftb Of we ft"dmvy-.Xw --kvft 15 Imm A93ke'i ~-Qftq=m and OY 2 C41 or CO -m% bdft Ord* n" bg -Id , =Z;~~ LJA"w Mistdcal Abstriots The theory of S~Utdnj the hrAf4nn frm"Pntv 4-IM caused tunnel effecl. 0 er an IL 25 P 1954 Iq4iiatropic , Pnenomena JzMjJ. AM. lVauk.Y.S..Y.R .561 Theoretical. . SeIgnettoclec. properties am now attributed MA Spectra' to the presence of a H bond. The pmence of 2 ban& ijll~ Me Rainan spectrum of ICH&POA is attributed w a tu!mel effect. A sotu. of the wave equation in Which the patentkl-~ en U corresponding to am OH bond Ims been Latro- duCcteldyg in 9Md OgreeIntnt With the "pt. as far as the pmition~of the doublet is coucerned, but gives. too-bigh- values for the stpn. of the 2 lint%. 31 FAMM - 1~7/4 Akio Jqi-,.r Rsw!tf ZLoz, Fizika, No 2, 1.95'T, No 5038 K-0 Au'.boiz Koin~- M A. Irkhin, Yu.P. State Univeraity, LT53R Title Lhe Theory of Ultraviolet Spectra of Absorption of Methane Rub a.. flapt-irim. I te.-or. flzlki, 19.54, 26, No 3, 317-3 A i.,s t i, ac-, tIJ_.& electron ex6rgy leveda of tie CH-JI CHLJ, and CI molecults are csLI.- from the solution using the Aethod 6f the Zent palWof the ed6kf -.s_Isctrcn problem of qa~~,.tvm mv--chanics. For molecules with a sym- metry C , the classification of the electron levels with respect to th'*7' is of the form 4A +-M +-4B. These representations cor- _r=Epq;2d to 3.4 linerly indrz;p~zdent spin function. However, a total of .~A n4f spin functions occur v&m the operations of symmetry of the C 'itze R group applied to +.L~i gemaral _'tunctions of the eigbt-elect-ron p z ~ o V11' em. These include tm. Iine~r rol9tionships. To determine the 14 Iine.~--ly indzpeadent baei.,: spin functigza one employs the analogy be- tv,~~n the bebsvior of the spin functions and the oscillatory coordinat0i C.6.~'d jI..J 7~ USEMI/Optice - Spectroscopy Ri'f Mw - Fizi", No S) 1957j No 5036 11%.. K-6 in tbe~ ey=aetry opemtione. This makes it possible to employ the pro- ctdur6 vhere the supplem!bntary relationships between the oscillatory coordinates are taken into decouxit,la'$rocedure used to calculate the cecillations of the molftules. Me 'mtiix pertur~htion elements are *&Iculate-l using th4j graphic metbod iemployed earl*er by Sklar (Sklar, A., Joumal.apf MemicaV jjj - The resultant secular de- 0, 193 t) 2) 669) - tszmimans contain'Sk energy in each term. In order for the un- knawn 4be containiM orly in the diagonal elements, a transformation vr.a ~Uea analogous to the introduction of the kinematic-coefficient matrJa instead of the kinet-ic-energy matrix in the oscillatory~t~oblems. The matrix elemients 6f the'6ecular equations contain the exchan86 inte- gr6l's -of -the pairq and unpaired electrons of the C, H, and C-ahalide atoms, samely K, A and dN ~ " S' I as well as the .excban~e integrals of the eilfttrons of the'R, H and H, Hal atoms ( P' andf~ ' and the intra- atomi exchinge integml of the C atom together with the exchange inte- gr&I ~"' of the Hal'and gal electrions.''Based on the data by Parti and'Samael (PartiI.Y.F.,' Smauea, R.1- Proceedings of'the'Phyiical Society~ London, 1937, ~~ 568) for the dissociation energy of OR I, CHI 3 3Y d KOYMM, M.A. Computation and interpretation of the vibration spectra of some monoalkyl- and polymethylbensenes. Izv.AW SS~R.Ser.Fiz.19 no.2: 218-219 Mr-Ap 155. (MLRA 9:1) 1.Saratovskiy gosudarstvanVy universitet imeni H.G.Chernychav- skogo. (Tartu--Spectrum analysis--Congresses) USM/ r-hysical Leaistry - Molecule. Chemical Bond. BA Abs Jour Referat Zhur Khimiya, No 3, 1957, 7200 Author Kovner M A Title ii~ ~ectra of Aromatic Compounds. III. Calcula- tion and Interpretation of the Vibrational Spectra of Mesitylene and Durene , Orig Pub : Optika i spektroskopiya, 1956, Vol 1, No 3., 348-363 Abstract : Geometrical models vith C3h and C symmetry are used for mesitylene and durene, respec&ely. The force cons- tants of benzene and ethane are used in the calculation of the A-equencies. The calculated frequencies are com- pared with 1"requencies observed in Baman spectra, fluores- cence spectra, and IR spectra. The full interpretation of the spectra is proposed on the basis of the calcula- tions and selection rules. A classificatL on of the fun- damental and component frequencies is given, based on the symmetry of the point groups C3h and C2,6 Card 1/2 - 25 - re, V IV Jz oo "'6< , 3R/Opties K Abs Jour: Referat Zhur-Fizika, 1957, No 4, 10451 Author : r,_M.A., Bogomolov, M.A. -- UnIversity, 1JSSR Inst : Saratav Title : General Theory of Oscillation Spectra of Normal Mono-Alkylbenzols. Orig Pub: Optika i spektroskopiya, 19561 1, No 3, 364-373 Abstract: The secular equations for the 46 oscillation frequencies of the molecule of ethyl benzol vere setup and solved. An interpretation is given for its oscillation spectra, and also for the vibration spectra of the higher mon-alkylbenzols CH3 The UP to C6H (CH ) , frequencies of the mono-alkylbenzols are comparea wiglge f'requen- cies of the benzol itself. The frequencies that do not change upon substitution, and also those that change and are independent or dependent on the length of the alkyl chain are determined. The frequencies of the valent vibrations C = C are calculated with the aid of a simplified model of one dimensional zig-zag chain with Card 1/2 V Y- uw~nvsifti manistry Molecule.. CbsWcal Bond. B-4 Abs Jour: Refern't. &=a1 'hinlya, No 2, 1958, 3538. Author a 9 -A. Novaer. Inst v >/,ra&, a,: I Title Vibration gpeetr% of Aronatic ComWvands- IT. Ca3patation and: =erpretation, of.-Vibration SVictva of Dipbjftq1 and Decadeuterodiphwyl, Orig Pub**,Cptik& i spektro skopiYAP i956, 1) no 6, 749-751- Abstract: A comiputati,on of basic frequencies"of Famn and infrared spectra bf diphenyl sind decadC-dterqPUwwI vas carried out and'their com- plete inter ff d.-Iollavini ai~praxinations were pretation Was o ext adnitteA: the Interaction -amidst arduo ne *asA=ed to be'zero, all'tbe force cons S,Iof - ,Iw vere expressed by the ben- zene force c6nstants dAUrnimA previously with the exception of -the interaction'conati~its'ot.a-n'gles'prod:~ted-by the inter- ring I ink with benzene rings. my~, and iyj p vhich vere accepted Card 113 KOWNER, IN. A., Doc of Phys-'eiath Scl -- (diss) "Caletilation. and interpreta- ti-)n of an oscilating spectra of benzol and Its derivatives." Vi-Insk, IP57 23 PP (Belorussian Stite University i-im V. 1. Lenin), 260 coi).Ies M, '16-57, 103) PRIK HOVKO. A. F. 3 PRAW I BOOK XVLOITATION SOV/1365 L'yov. Univeraytet haterialy X VsveLyurnpgo wavosInchanlyk po spoktrovlopli. %. Ii Holskulyamaya spvkt.Nm6#.npiya (tapers or the 10th All-Union Conference on Spectr5aocpv. Vol. Is Mlecular Spectroscopy) ILIvoy) W-vo L-vovskogo univ-ta, 195T. 499 p. 4 ooples printed. (Sarleat Itai Piz7ohnyy %birvk, v". Additional Sponsoring Agent7i Akademlys nbuk SSSR. KomIsAi7k PO spektroakoplL. Ed.i Oscar, S.L.1 Tech. Ed.s Sararyuk. T.V.1 rA&tor&Ll tkox%%1% Lanvisterg G.S., koadavVlcloz (Reap. Ed.2 Deceased). Neporent, U.S., Doctor or 6~slcal and Mathematical Sciences, Fabelinakiy, I.L., Doctor of ftsical and Mathematical Sciences, 7sIP&k*rA' V.A.. Do4tdr or Physical and Kithe=tical Sciences. KarAltakiv, V.Q., Candidate of -Technical Sciences, Rayakly, S.X., Candidate of Flqalea: and Math-t.11*1 Scl.noaa' Klutovskly, L.K., CandIdato of Physical And XZtber4tLCsl Science milly-huk. V.S., : CwWldate of PhIstia! &M katSe=atical science : &W Glaubermn, A. Te.. Cand1dato of Physical and mathematical Soleness. C&Td 1/30 71=aran, L.A. New O~tjnaj Phtht-I in Nggeopeo- trosoopy 81 P%r, N A A X 13*gozolor. The Structure and , b ti. ra ~.'.j ;;:.ti% of So.. Ar~'.&tj. JVdrocarb... 84 Kamnatakly, V.D., AM B.M. Yavorakly. Mthod for the Calculation of Absorpl-Ion Spectra or organic molecules. 88 logansen, A.V. Nozz-aal--elbratin:z Frequencies and the Anh&rmoniolty Con. &tan' ta or Acetylene and Dautero- acetylene %olvouleu 93 motulovich, 0J., end A.A. 8ruVin. Polvitation Hathm for the mawxp$ ,r optioal c*nstsuts or vatmay) In the L-4fra-04 Mugs 95 KIslcvsUiy, L.D. use *f a Ro.anator riode. With VLacous Priation for the Representation or Optical Ch&r ateristice of Absorbing media in the TMrare4 = 96 eft-4 76o KOVMM. M.A.; BOGWOLOT, AsKs, WPM- Structwe'and'vibration spectra of various aromatic h7drocarbono, Piz. ebor. no.3:84-M '57. OEM 110) 1. Saratovskiy gowj&rstvenn~7 universitat im. II.T. Chemynhevokogo. (Hydroaarbone-Speotra) AUTHOR: Kovner. M.A. 51-3-4/24 TITLE: Metallic model and 'W- electron polarizability of the benzene molecule. (Metallicheskaya model' i Ir-elektronnaya polyarizuyemost' molekuly benzola). PERIODICAL:"Optika i.Spektroskopiya" (Optics and Spectroscopy), 1957, Vol.2, No.3, pp.304-309 (U.S.S.R.) ABSTRACT: This theoretical paper deals with quantum-mechanical calculations of the fr-electron polarizability in the plane of the ring of the benzene molecule. Three models were considered: (1) free'eilectrons in a undimensional well with infinitely hi5h walls, (2) electrons moving in a cosinusoidal field, and (3 electrons in a rectilinear periodical potential field. (1) Free electron model. The electrons were assumed 4W -o be moving on a circle of radius R L/2Tr, where L = 6a and a = the lenE~th of the C-C bond. The energy levels of electrons are given by n n h (n = 0, + 1, + 21 Card -.1/3 W ~ ~2m The first four electrons occup, level W and the other four W Only the transition to tp-e neares? free level was Metallic model and 'or-electron polarizability of the benzene molecule. (Cont.) 51-3-4/24 considered, i.e. + Il A# �2 , since the 0-->+ 2 transition was forbidden. TEe polarizability for X = 4358 .9 was found to be CL (-) ) - ~).40 X-), and the static value Mir(O) = ?.63 73. The experimental val e, for -the C-C bond in the plane of the ring,,is 8.16 0 and it includes the effect of the a-electrons. Thus, the values calculated are of the right order but too high. (2) Cosinusoidal potential model. Introduction of a periodic potential makes the energy level gaps smaller and the frequency.131.of the first electronic transition lower. Since a,, is inversely proportional to") it follows that aff is larger. This was confirmed by rough calculations. Since a lower value of cLehan that obtained in (1) above is required, it is clear hat the cosinusoidal potential is not a sufficiently accurate approximation of the molecular field. (3) Rectilinear Potentia'l model. Card2/3 The potential along the circle of circumference L is given by L % 1, it can be expressed by Eq. (1.14). Consequently, 3 the increment factor p is given by Eq. (1.15)9 where is defined by Eq.' (1.16). In considering the ordinary and the extraordinary waves outside the transition region the expression for the increment factor is in the form of Eq. (1.21). For the region which fulfils conditions expressed by Eqs. (1.23) and (1.24),the increment factor is given by Eq. (1-27). This formula coincides with the results obtained by Rapoport (Ref. 8). In the transition region which fulfils the conditions expressed by Eq. (1-30) the increment factor is given by Eq. (1-31). The instability due to the magnetic deceleration radiation can be investigated by considering the Card 5/8 86850 s/141/60/003/005/003/026 E192/E382 Kinetic Analysis of the Diteraction of a Beam of Charged Particles with Stationary Plasma in a Magnetic Field. 11. growth (or attenuation) of the waves at the frequency corresponding to the normal and the anomalous Doppler effect, The condition of radiation in the region of the anomalous Doppler effect is expressed bys n(v0/C) Cos a = 1 + W H/W (2-1) while for the normal Doppler effect it is given byg n(v0/c) Cos a = 1 - WH /W . (2.2) Provided the conditions of Eqs, (2.4) are fulfilled, Eq, (1.8) can now be written as Eq. (2.5), where Ii is defined by Eq. (2-3). By using the perturbation methods the expression Card 6/8 S/14 M100/003/005/003/026 E192/E382 Kinetic Analysis of the interaction of a Beam of Charged Particles with Stationary Plasma in a Magnetic Field. 11. for determining ji+ is in the form of Eq. (2.6). Consequently, lt:~ are given by E-qs. (2-7) and (2.8). From the above it k follows that the plasma wave in the region of the anomalous Doppler effect is described by Eq. (2.9). The wave in the region of the normal Doppler effect is characterised by Eq. (2.19). The extraordinary and the ordinary waves in the region of the anomalous Doppler effect are characterised by Eqs. (2.21) and (2.22), respectively, where A and C are determined by Eqs. (1-5). In the transition region which fulfils the conditions of Eqs. (1.2) and (1-5), the increment factors for the ordinary and the extraordinary waves are represented by Eqs. (2.27) and (2,28); these are derived from Eqs. (2.21) and (2.22). From Eq. (2.27), it is seen that the instability occurs for U < I . On the other hand, Eq. (2.28) shows that the instability is observed for u ~ l Card 7/8 86850 s/141/6o/ool/005/003/026 E192/E382 Kinetic Analysis of the Interaction of a Beam of Charged Particles with Stationary Plasma in a Magnetic Field. Ii. The author expresses his gratitude to V.V. Zheleznyakov and V.O. Rapoport for reading the manuscript and discussing the results and also to B.N. Gershman for his interest in this work. There are 15 referencesg 2 English and 13 Soviet. ASSOCIATION: Nauchno-issledovatelvskiy radiofizicheskiy institut pri Gorikovskom universitete (Scientific Research Radiophysics Institute of Gor?kiy University) SUBMITTEDs March 25, 1960 Card 8/8 'I"!/ b1/0011/003/006/020 AUTHOR: Kovner,. M.S. TITLE: Instability of low-frequ,~~ncy elz,~-fromagnetic waves in a plasma with a beam of' chargad partitles passing through it (propagatfon at an arb~~A:x-ary angle with respect to the direction of the magnetic: f:Lel.d) PERIODICAI,g Izvestiya~vysshikh uch-abny1ch 7,av;sd-?.niy, Radiofizika, v. 4, n0o 3, 196.iv 444 -- 4,54 TEXT.- The stability-of a system consisting of a beam of charged particles and plasma has beer) inve2tigatad on1y, as VIV/ regards the high-frequency waves but it appoars that little work has been done as regards 1ovr-frequen,;*y wa-vzs (Ref. 9 - , V.P. Dokuchayev .- ZhETF, 39j 4.13, 196o, Ref~ .1.0 - G.V. Gordeyev, ZhETF, 27, 1.9~ 1951f and Ref. 11 -.. the pratTurt author, ZhETF, 4o, . 517~, 1961). In th4r4 follow!Ag, therefori~., a "netle approach to the problem of the stability of a beam of -harged particles in plasma, with respect to low-frequenc..y weore-; is pr"eented. It is assumed that the wave.-s propagate in the 1.3,rsotion k which forms an arbitrary ang.1.0 a with the aj.ra,,tion of thr. Card 1/1-0 Instability of S/ 14.1./61/ 004/003/oo6/o2o E192/F-382. constant magnetic field H , Th,.s plasma and the beam are unlimited. quasi-neutral ana sing1,y-ionjzc_d,, The beam of the particles moves along the external magnetic, fi,%ld H The '0 basic equations for the system are the linearized kinetic equations and the equations of electri.Aynami.,:~q: By following the approach adopted in Refo 12 (1,,D,, Landau ZhFTF, 16, 571, 1946) and Ref. .1.4 (B.N. Gershman, ZhETV, 2.4. 659z 1953) and assuming that all the physical quant-Ities - can be represented as plane waves, the scattering equation foT tile syt~tem is in YX YX 0% where XY VY ZY XM Yz 0 zz Card 2A0 T,istability of .... I q j,l -1--l-L/01/604/003/oWo2o B,.L 92 E 3 8 2 2 - �F 4ZZ + 0 - Ic Cos QL; fe = xy xy + k2c2sin m cou m = a byy yy+ w Ic0 Vyz ~= 'yz - a + Ic2a2sin a cos a; G zy = azy + w 2 k 2c2sin2a LX zz zz where: 4 ajp i w e yvjyCpy d-%,y Card 3/10 Y=j Instability of .... B192/8332 in which dvT ~ VP dVF d-,,zd y exp (2ne, costp, Cos C.,,Y aWKj w ) VIP I I -exp(2-,rs, dj'+ 2c exp ( 27tal ) vot C,,,, a (y)K, Vzj-'ZIOl v0sincEcosi' 11-exp(2m,) f ( 0 VZT-VOT + vpj I? S1110t COS e NI 1117 312 111 T (V, - VO, K, -- exp -WHy -Tj ( 2-,T, ) 1 27, expj-j T + /.I Iiii y); !kv,, - lui kvp, sin ot Will Will Card 4/10 _V' 1/004/00_;/006/020 Instability of .... i." i oo/ r3 8 2 The quantity C. yy is obtained from t1oo. -.-,-)ression for C xy by replacing cosy by sin~~ . In the ;O)wvo i'orviiilcie the quantities with indices y = 1, 2, 3, It rofor -to the ions of the plasma, electrons of the plasma, ions and electrons of the beain, respectively. The folloiing symbols are also introduced: w w - _'-_~jj = - eH /Dic i-diere c and 'M are the charge Hi ~ 1-13 0 and the mass of an ion; wH2 w 114 ~ IF1 = 1110 /nic , where e and in are the charge and the mass of an'electron; N Y and M A, are the concentration and temperature of the corresponding Y particles, the temperature being measured in energy units; Ic is the wave perturbation vector lying in the plane x, z the direction of the magnetic field 1-1 0 and that of the average velocity v 0y of the particles of the beam is assumed to be the axis z . First, the instability is investigated for the case when the thermal agitation of the particles can be neglected. It is shown that in thio cw~o Vie scattering equation is in the forizi: Card 5A0- S/111.1/61' oo'.,/oo3,/oo6/020 Instability of .... L;,i r,'3 8 2 k2C WOIEU- ftj(w - kv,)' + (2-5) 2 2 0. 04 U) )01 U) Wo"I k20 coslat + (w-kV,),U)O'j 110 H From this, it follows that the instability occurs at: v0 > Ho (2.9) where: cos, N.44 = NN, N+N, (2.10). Card 6/L0 ;-1.L/oi/ooVcc3/oo6/020 Ilistability of .... )--/E382 Furtlicr investigation of Eq. (2-5) the extraordinary wave is -table and that it obeys the relationship (Ref. 19 - Ya.L. Allpert, V.L. Gii-t--.burZ-- and Ye.i, Foynberg- - Propagation of Radic, Waves, Goste1--'.iizdat, 1-joscow, 1953): 0 11 V4,:~-Iu-lcoscc If the roSion of anomalous Doppler effect is considered, the instability of t1ic, lo-iii-frequency waves can be described by the following scattering equation: 2 kv, + 211) k,C, COS2,7 + PC22)2~1 COSU) (2.19) 4 04~1 m k*2i-2(i + COS'2) 0 L)2 11 [" Card 7/10 s/1.1li/61/0011/003/oo6/020 Instability of .... L ~ L ~)-"/ L3 3' 2 w1lich is valid -.-;-hen the following conditions are met: (02 -- t~! a(I + Cosla) 0 (02-02 -11 -~] wh er e H2/ 11T-1,D1 IIt is of interest to tahe into account V1.1-- 0 Vr the thermal ag-itation of the particles since their influence substantially changeithe nature of the 5-taijility of the system. This problem is investigated under tlie assumption that the thermal agritat ion in the beam is significant and 'L-.iat tile stationary plasma can be considered as being "cold". For the case i-.hen the phase-velocity of the i-.,nve is nonr to t"ic velocity vo I and the thermal agitation is intense, t-lae scattering equation for the system becomes: card 8/1o 10755 1/61:/o0j/oo3/o.-.. ?6/020 lantnbility of .... Vr.58,2 2 2 - 2 (0011.1 T3 i I/ :T I+- x 2V1 2 1 k 7-3 COS a T4 2 (Nil 3 COSOI)' 2 2 2 (1101 111 X k1c' c,,O,,~ + k1c' - 92 U)2 From this it is found that ins-Lability occurs vrhen w (0) - kV 0 < 0 Now, the instability in the region of the anomalous Doppler effect (under the conditions of thermal a--itation) is described by the follo,.-Tin- scattering equation: COS2a + kIC2 (1) 21 012 tj)(4 k1c 1 0 )1 ~JI,, + W2 - Q 2 g2 ( ) H H If (1103 Q11 2U 0)- + k2c'(1 + COS21) + 1, 0. 8 kV7'3 COS Or ",-Q11 d Card 9/10 30755 S/1111/61/O04/0W-)'/0UG/O20 Instability of .... E19-2/B332 From this, it is possible to find the correction factor for (0) the frequency w There are 20 references: 18 ~oviot-bloc and 2 non-Soviet-bloc. The two English-language references mentioned are; Ref. 2 R.Q. Tiviss, Phys. Rev., 34, 443, 1951 and Ref. 15 1. BornsteirL, PhYs. Rev., 109, 10, 1958. ASSOCIATION: Nauchno-issledovatellslziy radiofizicheskiy institut pri Qor'I*zovsho.-.i universitete (Scientific-research Hadiophysics Institute of GorIkiy University) SUB1,117f ED: October 21, 1960 Card 10/10 s/141/61/oo4/004/022/024 E032/r,3.i4 AUTHOR: Kovner, M.S. TITLE: On One Case of Cherenkov Instability in Non- equAlibrium Plasma PERIOD7:CAL: Izvestiya vysshikh uchebnykh zavedeniy, Radiofizika, i961, Voi. 4, No. 4, Pp- 765 - 766 T SXT: Publishedwork concerned with the instability of' a boom of chargod particles in a non-equilibrium plasma located in a magnetic field, is based on the assumption that tho phaso velocity of the wave is much greater than'the velocity disporsion due to thermal motion of the particles. The present author considers the excitation of waves in a plasma by a beam of charged particles, -whose phase velocity satisfies the relation VT1 Cox a