A. L. LIBERMAN, O. V. BRAGIN, Academician B. A. KAZANSKII
This study examines whether cyclohexane can undergo hydrogenolysis to open-chain hydrocarbons at atmospheric pressure, a reaction previously difficult to establish because dehydrogenation to benzene predominates on common catalysts such as platinized carbon. Using capillary gas chromatography, the a…
P. E. SOBOLEVSKII
The paper applies the method of fractional powers of operators to the Navier-Stokes equations in a bounded domain, formulated as an integral equation in the Hilbert space of solenoidal square-integrable vector fields. It establishes estimates relating fractional powers of the Stokes operator and the…
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The paper addresses the calculation of compressible boundary layers over flat and axisymmetric bodies when velocity and temperature slip conditions are imposed at the wall. Using Dorodnitsyn variables, it argues that, under assumptions including constant slip parameter and a specified temperature ju…
L. A. KIPRIANOVA, A. F. REKASHEVA
This study examines the kinetics and mechanism of hydrolysis of vinyl acetate and substituted vinyl benzoates catalyzed by mercury acetate in the presence of sulfuric acid. Rates were measured in aqueous alcoholic solution, varying ester, catalyst, acid, and water concentrations, and substituent eff…
Ya. E. Geguzin, V. I. Solunskii
This study examines whether an externally applied electric field affects diffusion porosity during interdiffusion in alkali halide single crystals, where charged vacancies are expected to contribute to pore development. Experiments were performed on three layer KBr, KCl, KBr specimens annealed at 65…
B. M. Mitsiuk, Z. Z. Vysotsky, M. V. Polyakov
This study examines how the polarity of the intermicellar liquid and its interaction with silicic acid hydrogel particles affect the porous texture of silica xerogels. Hydrogels were converted to alcogels by replacing water with a homologous series of aliphatic alcohols, either in the liquid phase o…
Unknown
This paper develops a theory of frequency dependent conductivity and mobility for low mobility semiconductors whose charge carriers are treated as small polarons localized on lattice sites. Using a nonstationary transport formalism, it derives tensor expressions for the Ohmic mobility, separating co…
A. Yu. LEVIN
The paper studies Fredholm integral equations with kernels smooth in one variable and applies the resulting spectral estimates to linear differential boundary-value problems. It proves that the Fredholm determinant and resolvent numerator are entire functions of order at most 1 divided by the smooth…
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The paper studies the spectral structure of non-self-adjoint differential operators obtained by relatively small lower-order perturbations of self-adjoint, and more generally normal, operators in Hilbert space. Using compactness assumptions on powers of the perturbed resolvent and analytic Fredholm …
V. G. SRAGOVICH, Yu. A. FLEROV
This paper constructs a class of self-learning probabilistic automata for situations in which random payoffs arrive sequentially and the payoff distribution depends on the automaton’s chosen move. The authors define automata whose states include a current mixed strategy, empirical mean payoffs for a…
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An evolutionary numerical method is proposed for electrodynamic problems in which electromagnetic fields and charged particle distributions are advanced stepwise in time on spatial grids from Maxwell equations coupled to particle equations of motion. The approach uses successive simplifications, beg…
B. Ya. SUKHAREVSKII, S. V. LYSAK
This paper examines how dislocations affect the temperature characteristics of the martensitic polymorphic transformation of cristobalite. A thermodynamic model is developed in which dislocation energy influences both nucleation of the new phase and the temperature of the true allotropic transformat…
A. N. Andrianov, O. M. Fomenko
The paper studies mean square sums of Fourier coefficients of a parabolic form when the indices are restricted to an arithmetic progression modulo a prime. Using a modification of Rankin’s method, the authors construct an associated Dirichlet series, analyze its pole and functional behavior, and red…
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This paper examines the reaction of di-(diethyl)-amidoalkyl esters of phosphorous acid with esters of monochloroacetic acid as an extension of known rearrangements of phosphites and amidoalkyl phosphites with alpha-halocarbonyl compounds. The authors show that these reactions proceed with heat evolu…
N. F. Komissarenko, V. T. Chernobai, D. G. Kolesnikov
This study examines flavonoid constituents of the above-ground parts of Far Eastern lily of the valley, Convallaria keiskei. Ethanol extraction, purification, polyamide chromatography, hydrolysis, paper chromatography, elemental analysis, and UV and IR spectroscopy were used to isolate and character…
A. A. TRAPEZNIKOV
This study examines mechanical degradation of polymer molecules in concentrated solutions during the prestationary stage of deformation, using polyisobutylene in vaseline oil and polymethyl methacrylate in acetone as model systems. Measurements with an elastorelaxometer relate shear stress and rever…
Unknown
This paper derives trace formulas for the many-particle Schrödinger equation in three dimensions, extending the Beth and Uhlenbeck type relation between thermodynamic coefficients and scattering data. For Boltzmann statistics, it expresses the thermodynamic limit of generalized activity coefficients…
Unknown
This study examines whether excitation of electrons from the valence band to the conduction band controls the thermal decomposition rate of ionic azides. Silver azide and barium azide were decomposed while exposed to X-rays, and in the silver azide case also ultraviolet light, with simultaneous meas…
A. M. SLOBODKIN
This paper examines Lyapunov stability for equilibria of mechanical systems with infinitely many degrees of freedom, emphasizing differences from finite-dimensional systems. Using explicit solution formulas for a fixed string, a fixed rectangular membrane, and a clamped elastic parallelepiped, it sh…
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This paper studies a class of arithmetic error-correcting codes formed by multiplying information symbols by a fixed integer, with distance measured by minimal signed binary representations rather than ordinary Hamming distance. It derives upper and existence bounds for such codes, including asympto…
Corresponding Member of the Academy of Sciences of the USSR K. A. Andrianov
The paper examines reactions of phenyl isocyanate with alkylsilazanes and related trialkylsilyl-substituted ureas, a reaction class that had only recently been reported. Through preparative reactions, elemental and molecular-weight analyses, hydrolysis products, and infrared spectra, the authors arg…
R. R. VARSHAMOV
The paper studies the construction of irreducible polynomials over finite fields, motivated in part by applications to linear coding theory. It defines an operator transforming polynomials by Frobenius powers and proves a divisibility lemma, then uses it to establish that certain irreducible factors…
E. B. Lyudvig, A. R. Gantmakher, Academician S. S. Medvedev
This study examines the mechanism of cationic polymerization of styrene and alpha-methylstyrene in ethyl chloride using tin tetrachloride with water as cocatalyst, focusing on kinetic anomalies such as induction periods, S-shaped rate curves, and changes in molecular weight. Dilatometric kinetic mea…
B. M. MIKHAILOV, A. Ya. BEZMENOV, L. S. VASIL’EV, V. G. KISELEV
The study reexamines products formed by hydroboration of 1,3-butadiene with diborane, questioning the earlier assignment of the main product as a single di-1,4-(1-boracyclopentyl)butane compound. Fractionation, alkaline hydrogen peroxide oxidation, and gas liquid chromatographic analysis of oxidatio…
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Radiometric titration was applied to study nonequilibrium coprecipitation in the system zinc, cobalt, and tetrarhodanomercurate during gradual addition of lithium tetrarhodanomercurate, using zinc-65 and cobalt-60 indicators. Mixtures with trace zinc, trace cobalt, and equal zinc and cobalt contents…
K. A. SHARIFOV, A. S. ABBASOV
This paper examines how the band gap of nonmetallic solids is related to thermodynamic measures of bond strength, assessing limitations of correlations based on heats of formation, electronegativity differences, atomization energy, and lattice energy. The authors argue that a more general linear rel…
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The paper formulates criteria for the existence of periodic and globally bounded solutions of ordinary differential systems with periodic right hand sides, using the method of guiding functions and topological fixed point arguments. It gives conditions involving a guiding function of nonzero index, …
V. V. Petrov
N. I. Zaslavskaya, I. T. Zotkin, O. A. Kirova
This paper examines magnetite cosmic spherules isolated from shallow soil samples collected in the region of the Tunguska fall during expeditions in 1958 to 1962. Using screening, vibrating-table separation, magnetic enrichment, microscopy, and diameter measurements of more than 500 spherules from s…
A. B. TERENT’EV
The study examines telomerization of ethylene with glacial acetic acid initiated by tert-butyl peroxide at 140 degrees and 15 to 40 atm as a route to even-numbered saturated carboxylic acids. Reaction products were fractionated and analyzed by gas liquid chromatography, with selected acids isolated …
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The study examines the electrochemical reduction of benzhydrazide and p-nitrobenzhydrazide at a dropping mercury electrode in acidic to near-neutral solutions. Classical polarography and oscillopolarography, supplemented by measurements using a Kalousek switch, are used to identify reduction waves a…
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This paper studies when a one-to-one continuous map from a topological space onto a metric space forces the domain to be metrizable or the map to be a homeomorphism. Using Bing’s metrization criterion, it proves that a locally connected, peripherally bicompact space condensed onto a metric space is …
B. A. Mamyrin, A. A. Frantsuzov
This paper reports a new determination of the proton magnetic moment in nuclear magnetons using a magnetic-resonance mass spectrometer. The method measured the cyclotron frequencies of He+, Ne2+, and Ne+ ions during a single revolution in the magnetic field, while simultaneously measuring the spin p…
Unknown
This note refines the plane reflection hypothesis used to approximate the interaction of acoustic waves with elastic bodies, particularly when exact solutions are computationally difficult. Using orthogonal curvilinear coordinates tied to a body surface, the authors reduce the acoustic wave equation…
Unknown
This paper examines the statistical theory of turbulence using diagrammatic methods analogous to quantum field theory, starting from Wyld’s formulation for incompressible fluids. It considers an approximation in which the simplest nontrivial terms are retained for the spectral function, Green functi…
Unknown
The paper estimates the accuracy of calculating nuclear moments of inertia with the forced-rotation, or cranking, model. Using an approximate projection method, it compares the usual variational treatment with trial functions projected onto states of fixed angular-momentum projection and derives an …
V. P. SHUNKOV
This paper studies periodic groups expressible as uniform products of their p-subgroups, a form of subgroup factorization in which cyclic subgroups from distinct factors are pairwise permutable. It gives structural criteria for groups decomposable into uniform products of Sylow p-subgroups, characte…
Unknown
The paper addresses the problem of selecting an appropriate adsorption isotherm for organic substances at electrode surfaces, comparing criteria based on the behavior of differential adsorption functions. It derives a more general criterion from equations of state of the form involving a coverage fu…
Unknown
This note gives an elementary proof of the existence of universal compact Hausdorff spaces of prescribed weight and finite covering dimension. For every cardinal weight and every nonnegative integer dimension, it constructs an n-dimensional bicompactum of that weight containing homeomorphic images o…
V. V. Sanadze, G. V. Gulyaev
This paper examines the time-dependent dissolution of phases in a nickel gold alloy containing 24.5 wt.% gold during isothermal annealing at 500°C. Using X-ray diffraction after holding times from seconds to one hour, the authors track changes in the initial two-phase state and identify the transien…
Corresponding Member of the USSR Academy of Sciences N. I. Shuikin, B. L. Lebedev,
This paper investigates the previously unexplored vinylation of saturated cyclic compounds by acetylene with formation of carbon, carbon bonds. Using di-tert-butyl peroxide as a radical initiator, cyclohexane, decalin, tetrahydrofuran, dioxane, and tetrahydropyran were reacted with acetylene in a ro…
N. S. Kozlov, A. D. Nikolaev
This study examines the acid-catalyzed addition of antipyrine to the azomethine bond of Schiff bases, motivated by the mobile hydrogen at the fourth carbon atom of antipyrine and the potential physiological interest of its derivatives. Using hydrochloride salts of the amines present in the Schiff ba…
A. A. OVCHINNIKOV, A. D. SUKHANOV
This paper develops an asymptotic method for calculating wave functions and electronic terms of the molecular hydrogen ion with two fixed Coulomb centers, focusing on the two lowest states at large internuclear separation. After separating the Schrödinger equation in elliptic coordinates, the author…
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This study reports the synthesis and characterization of tetrahydrates of perrhenates of the rare-earth elements, excluding promethium, and yttrium, with the general composition Me(ReO4)3 · 4H2O. The compounds were obtained by crystallization from perrhenate solutions and analyzed chemically, by den…
A. I. Titov, M. V. Sizova, P. O. Gitel’
This paper reports a method for preparing beta-chloroalkyldichlorophosphines by addition of phosphorus trichloride to olefins in the presence of aprotic Lewis acids such as aluminum chloride. The authors propose an ionic mechanism involving donor-acceptor complexes, ionization to electrophilic phosp…
Unknown
This paper examines diffusional separation in a boundary layer of a dissociating gas mixture near the critical point of a blunt axisymmetric body, using a three component model consisting of atoms, diatomic molecules, and an inert gas. Numerical calculations for several mixtures and flow conditions …
V. K. KONYUKHOV, L. A. KULEVSKII,
This paper investigates internal modes of oscillation in a cylindrical ruby optical generator and their role in reducing metastable-state population and increasing heat release during laser operation. The authors determine the energy of these modes experimentally by analyzing the thermal energy accu…
Consider a dynamic system described by the following system of differential equations
The paper studies dynamic control systems in which parameter disturbances affect a terminal performance function, and correction is achieved by shifting prescribed instants at which controls change or vary strongly. For small disturbances, it linearizes the dependence of measured quantities, switchi…
Unknown
This note studies linear difference equations with constant coefficients on the integer lattice, including homogeneous equations, equations with a point source, and equations with a general right-hand side. Using the characteristic trigonometric polynomial, the authors identify a zero-free complex s…
I. A. ODING
The paper examines high temperature creep under pulsating and changing stress using a rheological model composed of two elastic and two viscous elements whose properties may depend on stress. It proposes a graphical method for constructing deformation over time under periodic unloading and reloading…