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The study examines the mechanism of deuterium exchange between cyclohexane and metallic catalyst surfaces, focusing on how temperature and catalyst identity affect the distribution of deuterated products. Experiments on platinum films from 0 to 185°C show that the characteristic maximum at hexadeute…
A. A. Arest-Yakubovich, Academician S. S. Medvedev
The study investigates the anionic polymerization of butadiene in tetrahydrofuran initiated by alkali metal diphenyl complexes over a wide temperature range, with emphasis on how the counterion affects chain growth and polymer microstructure. Kinetic measurements, mainly dilatometric and supplemente…
I. S. Novikova
This paper examines the interaction of channel carbon black with two rubber additives, phenyl-2-naphthylamine and mercaptobenzothiazole, and compares their behavior with that of triphenylmethyl radicals. Carbon black samples were treated with solutions of these substances, then analyzed through meas…
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The paper develops a one-parameter class of iterative methods for solving nonlinear operator equations in normed linear spaces, using first and second order divided differences rather than derivatives. Starting from a Newton interpolation formula and replacing nonlinear terms by a chord-method appro…
S. L. Sosin, Corresponding Member of the Academy of Sciences of the USSR V. V. Korshak, D. G. Val’kovskii
The study examines the reaction of diphenyl, a hydrocarbon lacking mobile hydrogen atoms, with tert-butyl peroxide at 200°C and compares its behavior with related aromatic compounds. Product analysis by gas chromatography, elemental analysis, IR and NMR spectroscopy, oxidation, and molecular weight …
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The paper studies optimal distribution of a time-dependent flow among several directions when the accumulated quantities and distribution fractions may be subject to bounds. It introduces the notion of a distributor that is optimal not only for a fixed terminal time but throughout an interval, and d…
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This paper describes the preparation of previously undescribed esters of beta-hydroxy-beta-naphthylpropionic acids as potential intermediates for physiologically active compounds containing a naphthyl ring. The authors apply the Reformatsky reaction to unsubstituted 1- and 2-naphthaldehyde with alph…
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This paper studies self-correcting gate circuits of depth at most 2 that preserve the Boolean matrix they realize after disconnection of up to m gates. Using a max-flow type criterion for the existence of m plus 1 gate-disjoint chains between each conducting pair of terminals, it derives lower bound…
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D. T. SVIRIDOV
This paper examines why impurity ions with unfilled d or f shells in diamagnetic crystals produce either broad or narrow optical absorption and luminescence bands. It argues that thermal vibrations of ligands change crystal-field and related parameters, especially Dq, thereby modulating transition e…
A. S. ABBASOV, A. V. NIKOLSKAYA, Corresponding Member of the Academy of Sciences of the USSR
This study determines the principal thermodynamic properties of gallium antimonide, a semiconductor compound in the gallium-antimony system, using the electromotive-force method. Cells with liquid gallium, a KCl-LiCl electrolyte containing gallium chloride, and solid GaSb plus Sb electrodes were mea…
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This paper studies finitely presented groups whose defining relators satisfy specified small cancellation conditions, including restrictions on overlap and triangular cancellation. It gives a Dehn type reduction algorithm for the word problem and proves that a nonempty irreducible word representing …
Corresponding Member of the Academy of Sciences of the USSR M. F. Shostakovskii, N. I. Shergina,
The study examines infrared absorption spectra and Raman integral intensities of a series of ethynylsilanes of the general form RnSi(C≡CH)4-n, with methyl, ethyl, vinyl, and hydrogen substituents. Spectra were recorded for characteristic C≡C, acetylenic C-H, Si-H, and vinyl vibrations, and acetylene…
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This paper studies completeness of the linear span of finite-dimensional invariant subspaces associated with the nonselfadjoint singular second-order differential equation with a real weight acting in \(L^2\) on the whole real line. The argument reduces the problem for the operator pair \((L,Q)\) to…
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G. M. Adelson-Velsky, A. L. Brudno, A. S. Kronrod,
The paper specifies an instruction system for a three-address digital machine with 4096 memory cells and 43-bit words, in which words may serve as instructions, normalized numbers, or unsigned integers. It defines the word format, address conventions, distinguished cells, and a broad command table c…
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This paper studies free decompositions in the intersection of two primitive classes of universal algebras whose operation sets are disjoint or meet only in a nullary zero operation subject to compatible zero identities. Under stated hypotheses ensuring good behavior of free products, subalgebras, an…
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Corresponding Member of the USSR Academy of Sciences V. V. Voevodskii
The study examines four crystalline genins obtained by acid hydrolysis of panacoside A from ginseng roots, using nuclear magnetic resonance spectroscopy and comparison with the known spectrum of panaxadiol. Because the complete structures were not chemically established, the analysis is limited to s…
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This paper establishes a formal normal form for systems of ordinary differential equations near a singular point, extending classical results of Poincaré, Picard, Dulac, and Sternberg. For a formal system with zero constant term, it proves that an invertible formal change of variables can put the li…
V. S. KRYLOV and Corresponding Member of the Academy of Sciences of the USSR V. G. LEVICH
This paper examines how the discreteness of specifically adsorbed ionic charge affects interfacial surface tension at metal solution and gas solution boundaries. Using the Güntelberg charging method, the authors derive expressions for the free energy and surface tension change associated with electr…
Corresponding Member of the Academy of Sciences of the USSR G. I. MARCHUK
This paper presents a numerical algorithm for solving the equations used in weather forecasting, building on a model in which multidimensional atmospheric dynamics are split into a sequence of one-dimensional problems. It formulates finite-difference schemes for the split transport, diffusion, and a…
N. V. ZVOLINSKII
The paper develops a simplified model for one-dimensional plane explosive waves in an elastoplastic medium whose volumetric and shear response is piecewise linear and may pass through elastic, plastic, and unloading regimes. It classifies four possible medium types according to the sequence of stres…
I. B. SLINYAKOVA, G. B. BUDKEVICH, I. E. NEIMARK
This study addresses how replacing surface hydroxyl groups in silica adsorbents affects adsorption, with the aim of producing a hydrophobic silica material that retains strong adsorption for nonpolar substances. The authors synthesized a porous hydridopolysiloxane xerogel, or hydrogen silica gel, by…
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This paper analyzes charge separation and the resulting electric and magnetic fields in a thermodynamically equilibrium plasma undergoing rigid rotation in a cylindrical geometry. Under the assumption that the generalized potentials are small compared with the temperature, the governing Maxwell and …
R. F. VASIL’EV, I. F. RUSINA
This paper investigates the mechanism of weak chemiluminescence observed during liquid phase oxidation of organic compounds, focusing on identification of the excited emitting species. Spectra, oxygen quenching behavior, lifetimes, and quantum yields were measured or estimated for oxidations of ethy…
V. V. ZELENTSOV, T. G. AMINOV
This study examines the temperature dependence of magnetic susceptibility in copper(II) oxalate and copper(II) succinate between 80 and 300 K, addressing earlier interpretations of their anomalously low room-temperature magnetic moments as evidence of intramolecular antiferromagnetism. Experimental …
I. Yu. Kokoreva, L. A. Neiman, Corresponding Member of the Academy of Sciences of the USSR Ya. K. Syrkin,
Dipole moments were measured for seven nitrones in dilute benzene solutions at 25°C using the heterodyne method, with polarizations extrapolated to infinite dilution and analyzed by the Hedestrand procedure. The study reports total, electronic, and orientation polarizations and resulting dipole mome…
Corresponding Member of the Academy of Sciences of the USSR A. P. TERENT’EV, G. V. PANOVA, D. N. SHIGORIN,
This study examines how molecular coplanarity and steric effects influence the electron paramagnetic resonance spectra and optical activity of optically active copper chelates with oxyaldimines and oxyketimines. Using EPR measurements in solution and powder, the authors compare aldehyde and ketone d…
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This paper studies linear continuous operators between spaces of measurable functions, focusing on compactness in measure and related notions of improving, co-improving, Ando property, and regularity. It defines these properties and proves several structural results, including that operators from Lp…
A. M. Mikenberg
This note studies complete systems of nondecreasing general-recursive functions ordered by eventual domination, where every external nondecreasing general-recursive function is incomparable with some member of the system. It establishes basic structural properties of such systems, characterizes comp…
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The paper investigates the kinetics and mechanism of radiation-induced ethylene polymerization below the melting point of polyethylene, where the reaction rate first rises to a maximum and then declines as solid polymer accumulates. Using a constant-pressure dilatometer under gamma irradiation at 10…
Yu. B. Lifshits, O. S. Ryzhov
This paper investigates why shock waves form near the throat of Laval nozzles in transonic gas flow. It studies a self-similar class of discontinuous solutions of the transonic flow equations with power-law Cauchy data on the symmetry axis, reduces the governing problem to an ordinary differential e…
N. V. Rannev, R. P. Ozerov
This study addresses the unresolved positions of hydrogen atoms in crystalline dicyandiamide, a question that had left the molecular structural formula ambiguous among amino and imino alternatives. Neutron diffraction measurements of h0l reflections were combined with nuclear density projections, di…
È. I. Grigolyuk, L. A. Fil'shtinskii
The paper studies transverse bending of an isotropic elastic plate on a doubly periodic lattice of point supports under a uniform transverse load, with attention to stress behavior near the supports. Using complex-variable representations of the biharmonic plate equation, the authors construct doubl…
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This paper examines how high pressure affects anharmonicity and the Grüneisen parameter in crystals, with emphasis on conditions along the shock adiabat where the classical high-temperature limit is applicable. Using pair central-force lattice dynamics, it derives expressions for a high-frequency Gr…
B. M. SMIRNOV
This paper examines how elastic scattering modifies resonant charge exchange in slow atomic collisions, where standard estimates often assume free relative motion of the colliding particles. Using the interaction potential in the radial motion and the asymptotic form of the electron energy splitting…
D. M. SMIRNOV
The paper studies generalized solvable groups through normal systems associated with varieties of groups and applies these constructions to free groups and group rings. It introduces normal varieties and proves that, for a free group modulo a nontrivial normal divisor, certain normal systems with fa…
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This paper studies Dirichlet and Neumann boundary-value problems for a class of quasilinear elliptic equations arising in the stationary theory of thermal explosion. Using lower and upper solutions and convergence of associated parabolic problems, it establishes a solvability criterion for the Neuma…
G. V. Rakova, A. K. Avakyan, L. M. Romanov, N. S. Enikolopyan
The paper examines the kinetics of cationic polymerization of trioxane initiated by tin tetrachloride in methylene chloride and nitrobenzene at 30 degrees C. Using dilatometric measurements with purified reagents under inert conditions, the authors determine how the maximum polymerization rate depen…
A. I. MAKLАKOV, G. G. PIMENOV
This study examines structural changes in polyacrylonitrile during vacuum pyrolysis using nuclear magnetic resonance measurements of the second moment of the proton resonance line over a wide temperature range. Samples pyrolyzed at 210 and 320 °C for different times were compared with untreated poly…
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This paper studies a generalized boundary value problem for the Tricomi equation in a mixed elliptic hyperbolic domain, allowing first kind discontinuities of the unknown function and its normal derivative across the parabolic degeneration line. The problem is formulated with gluing conditions invol…
G. A. TEDORADZE, R. A. ARAKELYAN
This paper develops and applies a method for calculating adsorption parameters of surface-active organic substances on a mercury electrode from impedance measurements, using the diffusion-limited adsorption theory of Frumkin and Melik-Gaikazyan. The authors derive working formulas for the concentrat…
M. I. ADAMOVICH, V. G. LARIONOVA, A. I. LEBEDEV, S. P. KHARLAMOV,
This paper analyzes experimental data on positive pion photoproduction on hydrogen near threshold, for photon energies from 175 to 230 MeV, obtained with a bremsstrahlung beam and nuclear emulsion detectors at the Lebedev Institute synchrotron. Differential cross sections measured over a wide angula…
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This paper studies the relation between finitely projective and finitely reduction classes of models, addressing whether every finitely reduction class is finitely projective. Building on Mal’tsev’s result and a refinement showing that the infinite part of any finitely reduction class lies inside a …
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This paper examines how radio observations of solar eclipses can be used to determine the solar radio radius and thereby locate regions of rapid change in the lower solar atmosphere. Using published and preliminary eclipse measurements at wavelengths from 0.86 to 50 cm, with emphasis on second and t…
Academician **B. N. Petrov, S. V. Emel’yanov, V. I. Utkin
This paper develops a construction principle for invariant automatic control systems with variable structure, addressing plants of low or zero astatism subject to control inputs and disturbances at multiple points. The authors formulate a switching control law that does not require measurement of di…
A. Kh. Gudiev