Showing 50 of 25456 papers

On the Vapor-Phase Oxidation of Styrene and $\alpha$-Methylstyrene over Tin Vanadate

B. V. SUVOROV, S. R. RAFIKOV, A. V. SOLOMIN, and M. I. KHMURA
1957 SovietRxiv: ru-195701.88469

This study examines the vapor-phase oxidation of styrene and alpha-methylstyrene by atmospheric oxygen over granulated tin vanadate, using a flow apparatus with short contact times and moist air. The authors identify and quantify principal products including benzoic acid, maleic anhydride, quinone, …

ON THE MOTION OF STRUCTURAL MUDFLOWS

Unknown
1957 SovietRxiv: ru-195701.88432

This paper examines the motion of structural, or cohesive, mudflows whose fine clay and silt content gives them viscoelastic and viscoplastic properties distinct from ordinary water flows. Using experimental data from viscosity, suspension, and flume studies, it relates the ability of mudflow masses…

Lie Quadric for Ruled Surfaces of a Congruence

S. E. KARAPETYAN
1957 SovietRxiv: ru-195701.88012

This paper studies the Lie quadric associated with ruled surfaces belonging to a line congruence in projective space. Using Cartan’s method of exterior differential forms and first order adapted tetrahedra, it derives an invariant equation for the Lie quadric of an arbitrary ruled surface of the con…

Spectroscopic study of the equilibrium of the reaction $\mathrm{NaCl}\rightleftarrows\mathrm{Na}+\mathrm{Cl}$ in an $\mathrm{H}_2+\mathrm{Cl}_2$ flame and the dissociation energy of $\mathrm{NaCl}$

Unknown
1957 SovietRxiv: ru-195701.87947

This paper examines whether a hydrogen chloride flame can serve as a spectroscopic source for determining dissociation energies of metal chlorides, using the equilibrium reaction NaCl to Na plus Cl as a test case. Sodium chloride and sodium carbonate solutions were introduced into an H2 plus Cl2 fla…

On the catalytic phenylation of hydrogen-containing alkylchlorosilanes with benzene

G. N. MAL’NOVA, E. P. MIKHEEV, A. L. KLEBANSKII, S. A. GOLUBTSOV
1957 SovietRxiv: ru-195701.87817

This paper investigates the catalytic phenylation of hydrogen-containing alkylchlorosilanes, especially methyl- and ethyldichlorosilanes, with benzene. Using sealed autoclave experiments, the authors compare several potential catalysts and identify boric acid as an effective and convenient catalyst,…

On the Noncoplanarity of Phenyl Rings in Diphenyl Derivatives

I. Ya. Postovskii, L. F. Trefilova, Yu. N. Sheinker, and S. G. Bogomolov
1957 SovietRxiv: ru-195701.87740

This study examines whether the phenyl nuclei in substituted diphenyl ketones remain coplanar in solution and in the crystalline state, a question relevant to the transmission of electronic effects through biphenyl systems. Infrared spectra of crystalline samples and dioxane solutions, supplemented …

On the Existence and Uniqueness of a Solution to a General Equation in Connection with Invertibility in Semigroups of Transformations

E. S. LYAPIN
1957 SovietRxiv: ru-195701.87681

This paper studies one-sided and two-sided invertibility in abstract semigroups and applies these notions to semigroups of transformations. It establishes structural results relating products of invertible elements, cancellability, and the decomposition of a semigroup into classes of left, right, tw…

Commonality of Sliding, Vibrational, and Optimal Modes of a Class of Servomechanisms

V. V. PETROV and G. M. ULANOV
1957 SovietRxiv: ru-195701.87664

This note examines the relationship among sliding, vibrational, and time optimal modes in a class of relay servomechanisms and indirect control systems. By comparing differential equations and phase plane descriptions for systems with feedbacks and vibro-contours, the authors show that these modes s…

Reaction of Ethylene Oxide with Silicon Tetrachloride and Ethyltrichlorosilane

M. F. Shostakovskii and S. P. Lavrov
1957 SovietRxiv: ru-195701.87649

This study examines the partial reaction of ethylene oxide with silicon tetrachloride and ethyltrichlorosilane, in contrast to earlier work that mainly reported fully substituted products. By controlling stoichiometry and adding liquid ethylene oxide to cooled chlorosilanes followed by distillation,…

THEORY OF THE VAVILOV–CHERENKOV EFFECT

B. M. Bolotovskii
1957 SovietRxiv: ru-195701.87615

The proposed review aims to acquaint the reader with the current state of the theory of the Vavilov–Cherenkov effect. The review is divided into two parts: the Vavilov–Cherenkov effect in an unbounded medium and the Vavilov–Cherenkov effect in the presence of boundaries. The author has not attempted…

SYSTEMS OF SINGULAR INTEGRAL EQUATIONS OF CONVOLUTION TYPE

Unknown
1957 SovietRxiv: ru-195701.87397

This note studies vector systems of singular convolution-type integral equations on the real line and on paired half-lines, extending earlier work on scalar equations. Using Fourier transforms, matrix function theory, and Riemann boundary-value problems for systems of analytic functions, the equatio…

Polymerization of 2-vinylpyridine and 2-vinylquinoline

M. M. KOTON and O. K. SURNINA
1957 SovietRxiv: ru-195701.87182

This study examines the polymerization and copolymerization behavior of 2-vinylpyridine and 2-vinylquinoline in order to assess how a nitrogen heteroatom and increased aromatic ring complexity affect vinyl monomer reactivity. The monomers were synthesized from picoline and quinaldine, characterized,…

On mappings of the product of a topological space and a Euclidean space into a Euclidean space

A. M. RODNYANSKII
1957 SovietRxiv: ru-195701.86859

This note studies continuous mappings from an open subset of the product of an arbitrary topological space with a Euclidean space into a Euclidean space, focusing on the behavior of the fiber maps under variation of the topological parameter. Using topological degree and local degree, it proves stab…

Complexation and Chain Structure in the Polymerization of Divinyl with Butyllithium

V. A. Kropachev, B. A. Dolgoplosk, and N. I. Nikolaev
1957 SovietRxiv: ru-195701.86751

This paper examines how complex-forming additives influence the microstructure of polybutadiene obtained by polymerizing divinyl with butyllithium in petroleum ether. Experiments at 50 degrees show that small amounts of oxygen, as well as alcohol or phenol derivatives formed as lithium alkoxides or …

Obtaining Absorption Spectra Using Cold Light Sources

Academician of the Academy of Sciences of the Byelorussian SSR B. I. STEPANOV and Ya. S. KHVASHCHEVSKAYA
1957 SovietRxiv: ru-195701.86621

The paper examines the measurement of infrared absorption spectra when the radiation source is colder than the receiver, producing a negative radiation flux. It combines thermodynamic and radiometric analysis with experiments on nitrobenzene and toluene using an infrared spectrophotometer, comparing…

ON PERMUTATIONS OF THE TRIGONOMETRIC SYSTEM

Unknown
1957 SovietRxiv: ru-195701.86591

This paper studies how rearrangements of the trigonometric system affect convergence, summability, and basis properties of Fourier series. It gives sufficient conditions, formulated through best approximation in the L2 metric and through an integral smoothness condition, under which a Fourier series…

Study of Adsorption at High Pressures

B. N. Vasil’ev, B. P. Bering, M. M. Dubinin, and V. V. Serpinskii
1957 SovietRxiv: ru-195701.86277

This study investigates physical adsorption of carbon dioxide on silica gels over a broad temperature and pressure range, from minus 85 to 40 degrees Celsius and up to 85 atm, in order to test adsorption theory under conditions including the critical region. Using volumetric measurements, fugacity c…

On a Class of Nonlinear Differential Equations

V. A. YAKUBOVICH
1957 SovietRxiv: ru-195701.86241

This paper studies global stability of a class of nonlinear differential equations arising in indirect automatic control with one regulating element. It reformulates Lur’e’s Lyapunov method in invariant matrix form for systems with a stable open-loop matrix, using a quadratic Lyapunov function plus …

Some Problems of Infinitesimal Bendings of Surfaces

I. N. VEKUA
1957 SovietRxiv: ru-195701.86151

This paper studies infinitesimal bendings of surfaces and their relation to momentless stress states in thin shells, with emphasis on boundary constraints that are compatible with such bendings and have well-posedness properties. It formulates the correspondence between bending fields and momentless…

THE PROBLEM OF MEASURING THE PRESSURE AND DENSITY OF THE UPPER LAYERS OF THE ATMOSPHERE USING AN ARTIFICIAL EARTH SATELLITE

B. S. Danilin, V. V. Mikhnevich, A. I. Repnev, E. G. Shvidkovskii
1957 SovietRxiv: ru-195701.86119

This article is devoted to an analysis of the physical content of the problem of measuring the pressure and density of the upper layers of the atmosphere when using a satellite for measurement purposes. The instrument for measuring pressure and density is hereinafter understood to be a “manometer” o…

On Equations with Operators Forming an Acute Angle

P. E. Sobolevskii
1957 SovietRxiv: ru-195701.86072

The paper introduces a comparison principle for linear operators in a Hilbert space based on the condition that their images form an acute angle, and derives consequences for defect indices, normal solvability, and approximation schemes. It proves convergence results for projection methods and for a…

Adsorption Energy of Hydrocarbons on Graphite

Unknown
1957 SovietRxiv: ru-195701.85999

This paper calculates adsorption bond energies for selected hydrocarbons on graphite and relates them to chromatographic separation behavior. Using an additive molecular-unit model with dispersion interactions evaluated from the Kirkwood formula, the authors estimate adsorption energies for n-alkane…

Investigation of $\beta^+$ decay in $\mathrm{Ho}^{160}$

Corresponding Member of the Academy of Sciences of the USSR B. S. Dzhelepov, O. E. Kraft
1957 SovietRxiv: ru-195701.85931

This paper reports a beta spectrometric study of positron emission from holmium 160 produced in proton irradiated tantalum and chemically separated from holmium and erbium fractions. Using a triple focusing beta spectrometer, the authors measured conversion electron lines attributed mainly to holmiu…

Electron ionization energy in germanium crystals

V. S. VAVILOV, L. S. SMIRNOV, and V. M. PATSKEVICH
1957 SovietRxiv: ru-195701.85786

This paper investigates the mean energy required to form an electron, hole pair in germanium crystals under ionization by fast electrons, a quantity relevant to semiconductor radiation detectors and direct conversion devices. Using n-type germanium crystals with p-n junctions, the authors measured t…

On a class of entire functions

M. D. KHRIPTUN
1957 SovietRxiv: ru-195701.85776

This note studies a class of entire functions arising as kernels in integral representations connected with the Cauchy problem for second order ordinary linear differential operators. Starting from a generalized power series related to the function \(U_0^{(1)}\), the paper derives the third order di…

On Admissible Transformations of Equations for Particles with Higher Spins

1.** Particles with arbitrary spins are described by equations of the form
1957 SovietRxiv: ru-195701.85486

The paper studies linear transformations of relativistically invariant wave equations for particles of arbitrary and higher spin, focusing on transformations that preserve the essential structure of the Lorentz generators, reflection operator, dynamical matrices, and metric form. It argues that admi…

On the Explosive Decomposition of Hexogen

Unknown
1957 SovietRxiv: ru-195701.85458

This study examines how the initial charge density of RDX affects its explosive decomposition, challenging the assumption that its heat of explosion is a fixed material constant. Using dried RDX charges of varying density detonated in a steel calorimetric bomb, the authors measured heats of explosio…

On the Oscillator Strength Sum Rule for Alkali Metals

I. B. BERSUKER
1957 SovietRxiv: ru-195701.85279

This paper revisits the oscillator strength sum theorem for alkali-metal atoms, motivated by discrepancies between Fock’s earlier correction formula and newer dispersion measurements for sodium. It argues that the usual dipole transition perturbation is incomplete because the polarized ionic core mo…

The applicability of Fredholm’s theory to certain linear topological spaces

K. M. FISHMAN and Yu. N. VALITSKY
1957 SovietRxiv: ru-195701.85277

The paper studies when Fredholm theory extends from a nested family of Banach spaces to associated complete linear topological spaces formed as intersections, together with their conjugate spaces. It defines the relevant topologies, analyzes operators whose action is independent of the Banach parame…