Showing 50 of 25357 papers

Hydrogenolysis of Cyclohexane to n-Hexane at Atmospheric Pressure

A. L. LIBERMAN, O. V. BRAGIN, Academician B. A. KAZANSKII
1964 SovietRxiv: ru-196401.59218

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…

On the Application of the Method of Fractional Powers of Operators to the Study of the Navier–Stokes Equations

P. E. SOBOLEVSKII
1964 SovietRxiv: ru-196401.59178

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…

On the Influence of an Electric Field on the Development of Porosity during Interdiffusion in Alkali Halide Single Crystals

Ya. E. Geguzin, V. I. Solunskii
1964 SovietRxiv: ru-196401.59026

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…

Role of the polarity of the intermicellar liquid and the intensity of its interaction with the surface of silicic acid hydrogel particles in the formation of the texture of silica gels

B. M. Mitsiuk, Z. Z. Vysotsky, M. V. Polyakov
1964 SovietRxiv: ru-196401.59019

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…

Fredholm Equation with a Smooth Kernel and Boundary Value Problems for a Linear Differential Equation

A. Yu. LEVIN
1964 SovietRxiv: ru-196401.58741

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…

On the Spectrum of Non-Self-Adjoint Differential Operators

Unknown
1964 SovietRxiv: ru-196401.58690

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 …

Construction of a Class of Optimal Automata

V. G. SRAGOVICH, Yu. A. FLEROV
1964 SovietRxiv: ru-196401.58601

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…

Effect of Dislocations on the Temperature Characteristics of the Polymorphic Transformation of Cristobalite

B. Ya. SUKHAREVSKII, S. V. LYSAK
1964 SovietRxiv: ru-196401.58431

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…

On the Fourier Coefficients of Cusp Forms

A. N. Andrianov, O. M. Fomenko
1964 SovietRxiv: ru-196401.58364

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…

Rearrangement of amido esters of phosphorous acids in reactions with $\alpha$ -halocarbonyl compounds. Action of monochloroacetic acid esters on di-(diethyl)amidoalkyl esters of phosphorous acid

Unknown
1964 SovietRxiv: ru-196401.58248

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…

Keioside—A New Flavonoglycoside from Far Eastern Lily of the Valley (*Convallaria keiskei* Miq.)

N. F. Komissarenko, V. T. Chernobai, D. G. Kolesnikov
1964 SovietRxiv: ru-196401.58109

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…

Degradation of polymere molecules in a solution (polyisobutylene, polymethylmetacrylate) when passing the prestationary stage of deformation

A. A. TRAPEZNIKOV
1964 SovietRxiv: ru-196401.57949

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…

Trace Formula for the Multiparticle Schrödinger Equation

Unknown
1964 SovietRxiv: ru-196401.57943

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…

On the Stability of Equilibrium of Systems with Infinitely Many Degrees of Freedom in the Sense of Lyapunov

A. M. SLOBODKIN
1964 SovietRxiv: ru-196401.57852

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…

On One Class of Error-Correcting Codes

Unknown
1964 SovietRxiv: ru-196401.57823

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…

On the Reaction of Silazanes with Organic Isocyanates

Corresponding Member of the Academy of Sciences of the USSR K. A. Andrianov
1964 SovietRxiv: ru-196401.57733

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…

On a Theorem from the Theory of Reducibility of Polynomials

R. R. VARSHAMOV
1964 SovietRxiv: ru-196401.57505

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…

On the Mechanism of Cationic Polymerization in the Presence of Metal Halides

E. B. Lyudvig, A. R. Gantmakher, Academician S. S. Medvedev
1964 SovietRxiv: ru-196401.57412

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…

Cyclic boron compounds formed during the hydroboration of 1,3-butadiene

B. M. MIKHAILOV, A. Ya. BEZMENOV, L. S. VASIL’EV, V. G. KISELEV
1964 SovietRxiv: ru-196401.57222

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…

Study of coprecipitation in the $\mathrm{Zn}^{2+}$ – $\mathrm{Co}^{2+}$ – $[\mathrm{Hg}(\mathrm{SCN})_4]^{2-}$ system by radiometric titration

Unknown
1964 SovietRxiv: ru-196401.57203

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…

Size Distribution of Cosmic Spherules from the Tunguska Fall Area

N. I. Zaslavskaya, I. T. Zotkin, O. A. Kirova
1964 SovietRxiv: ru-196401.56748

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…

Polarographic Study of Some Benzhydrazides

Unknown
1964 SovietRxiv: ru-196401.56564

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…

On Bijective Mappings onto Metric Spaces

Unknown
1964 SovietRxiv: ru-196401.56548

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 …

New Measurement of the Proton Magnetic Moment

B. A. Mamyrin, A. A. Frantsuzov
1964 SovietRxiv: ru-196401.56539

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…

On the Refinement of the Plane Reflection Hypothesis

Unknown
1964 SovietRxiv: ru-196401.56282

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…

ON THE STATISTICAL THEORY OF TURBULENCE

Unknown
1964 SovietRxiv: ru-196401.56184

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…

On the Choice of the Adsorption Isotherm Equation

Unknown
1964 SovietRxiv: ru-196401.55998

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…

On the dissolution of phases in the nickel–gold system

V. V. Sanadze, G. V. Gulyaev
1964 SovietRxiv: ru-196401.55472

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…

Vinylation of cyclanes and cyclic ethers

Corresponding Member of the USSR Academy of Sciences N. I. Shuikin, B. L. Lebedev,
1964 SovietRxiv: ru-196401.55454

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…

Catalytic Synthesis of Antipyrine Derivatives

N. S. Kozlov, A. D. Nikolaev
1964 SovietRxiv: ru-196401.55437

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…

On the Question of Wave Functions and Electronic Terms of the Molecular Hydrogen Ion

A. A. OVCHINNIKOV, A. D. SUKHANOV
1964 SovietRxiv: ru-196401.55431

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…

Tetrahydrates of Rare-Earth Element and Yttrium Perrhenates

Unknown
1964 SovietRxiv: ru-196401.55411

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 new reaction for the preparation of $\beta$ -chloroalkyldichlorophosphines from olefins by an ionic mechanism

A. I. Titov, M. V. Sizova, P. O. Gitel’
1964 SovietRxiv: ru-196401.55292

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…

Internal modes of oscillation in a ruby optical oscillator

V. K. KONYUKHOV, L. A. KULEVSKII,
1964 SovietRxiv: ru-196401.55277

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…

THEORY OF A CLASS OF DISCRETE SELF-CORRECTING SYSTEMS

Consider a dynamic system described by the following system of differential equations
1964 SovietRxiv: ru-196401.55219

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…

On the Question of Creep under Pulsating Stress

I. A. ODING
1964 SovietRxiv: ru-196401.55123

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…