Showing 50 of 25456 papers

Effect of Substituents on the Properties of para-Disubstituted Benzene Molecules

P. P. Shorygin and Z. S. Egorova
1958 SovietRxiv: ru-195801.86175

This study examines how para substituents influence the vibrational, optical, and dipole moment properties of nitrobenzene derivatives. Raman spectra, ultraviolet absorption spectra, and literature dipole moment data are compared for a series of compounds with substituents of differing electronic ch…

Groups with finite classes of conjugate abelian subgroups

I. I. EREMIN
1958 SovietRxiv: ru-195801.86126

This paper addresses whether groups in which every abelian subgroup has only finitely many conjugates form a broader class than groups in which every subgroup has this property. Building on Neumann’s characterization of groups with finitely many conjugates of every subgroup, the argument reduces the…

Unsaturated Hydrocarbons of Thermal Cracking Gasoline

Academician A. V. TOPCHIEV, I. A. MUSAEV, Z. Kh. ISKHAKOVA,
1958 SovietRxiv: ru-195801.86101

This study examines the unsaturated hydrocarbons in the 60 to 150°C fraction of thermal cracking gasoline produced from Grozny paraffinic crude oil. The olefinic portion was separated chromatographically, distilled into narrow fractions, and analyzed using sulfuric acid treatment, hydrogenation and …

Asymptotics of Eigenfunctions of the Equation $\Delta u+k^2u=0$ with Boundary Conditions on Equidistant Curves and Scattering of Electromagnetic Waves in a Waveguide

Consider the equation
1958 SovietRxiv: ru-195801.86100

The paper studies high-frequency asymptotics for eigenfunctions of the Helmholtz equation with Dirichlet boundary conditions in domains bounded by equidistant curves, including closed, finite, and infinite waveguide geometries. Using normal coordinates based on one boundary curve and a variational r…

On the Theory of Impact of Cylinders

V. A. SVEKLO
1958 SovietRxiv: ru-195801.85910

This paper develops an approximate theory for the impact of arbitrary cylindrical elastic bodies when their initial contact has order greater than one, extending earlier work on equal circular cylinders. The analysis combines a static contact pressure distribution with a dynamic treatment of displac…

THE INFLUENCE OF INORGANIC AND ORGANIC CATIONS ON THE REDUCTION OF THE ANION \(\mathrm{PtCl}_4^{\prime\prime}\) AT THE DROPPING MERCURY ELECTRODE

Unknown
1958 SovietRxiv: ru-195801.85804

The study examines how inorganic and organic cations affect the electroreduction of the PtCl4 double charged anion at a dropping mercury electrode, with attention to inhibition caused by electrostatic repulsion at negatively charged surfaces. Polarization measurements show that alkali metal cations …

Reflection and Refraction of an Elastic Wave of Arbitrary Shape in the Case of a Curvilinear Interface

B. Ya. GELCHINSKII
1958 SovietRxiv: ru-195801.85676

This note treats the reflection and refraction of nonstationary elastic waves of arbitrary form at a smooth curvilinear interface between two isotropic elastic media, within the zeroth approximation of the ray method. Expanding the incident, reflected, and refracted fields near their wave fronts and…

A METHOD FOR DETERMINING THE MEAN KINETIC ENERGY OF ELECTRONS IN THE CASE OF THE DRUYVESTEYN–DAVYDOV DISTRIBUTION

Unknown
1958 SovietRxiv: ru-195801.85484

A method is developed for interpreting Langmuir probe characteristics when the electron velocity distribution in a gas discharge follows the Druyvesteyn-Davydov form rather than a Maxwellian distribution. Starting from the probe current expression for an isotropic distribution, the paper derives an …

A Further Strengthening of Jackson's Theorem on Approximation of Continuous Functions by Ordinary Polynomials

Unknown
1958 SovietRxiv: ru-195801.85257

This note strengthens Jackson-type theorems on approximation of continuous functions by algebraic polynomials, refining earlier results of Nikol’skii and Timan. It introduces estimates in terms of the second modulus of smoothness of the r-th derivative and proves that, for a function with continuous…

Reaction of tropylium salts with vinyl ethers and $\beta$ -chloromercuriacetaldehyde

Corresponding Member of the Academy of Sciences of the USSR D. N. KURSANOV, M. E. VOL’PIN
1958 SovietRxiv: ru-195801.85186

This paper examines the reactivity of tropylium salts toward vinyl ethers and beta-chloromercuriacetaldehyde, extending known nucleophilic reactions of the aromatic cycloheptatrienyl cation. Experiments show that tropylium bromide and perchlorate react readily with simple vinyl alkyl ethers in aqueo…

ON SHOCK WAVES IN MEDIA WITH AN ARBITRARY EQUATION OF STATE

Unknown
1958 SovietRxiv: ru-195801.85138

This paper examines plane shock discontinuities in media whose internal energy depends on specific volume and entropy, allowing an arbitrary equation of state in which the sign of the isentropic second derivative of pressure with respect to volume may change. Using the conservation laws, entropy con…

X-ray study of alkali element uranates

L. M. KOVBA, E. A. IPPOLITOVA, Yu. P. SIMANOV
1958 SovietRxiv: ru-195801.85006

This study investigates the crystal structures of alkali-element uranates and diuranates, for which detailed structural data were previously limited or unavailable. Single-crystal and powder X-ray methods, including Laue, rotation, and Debye techniques, were used to determine lattice parameters, spa…

Dispersion relations for the production of $\pi$-mesons

V. TSELLNER
1958 SovietRxiv: ru-195801.85000

This paper derives dispersion relations for pion production in the process pi plus nucleon to two pions plus nucleon, under a specified symmetric kinematic configuration with equal emitted pion energies. Using retarded and advanced amplitudes constrained by causality, the analysis assumes analyticit…

On the uniqueness of determining the shape of an attracting body from the values of its external potential

Unknown
1958 SovietRxiv: ru-195801.84912

This note studies uniqueness in the inverse problem of potential theory for determining the shape of attracting bodies from their exterior potentials. Extending methods of Novikov and Sretenskii, it proves that two bounded bodies of the same constant density with piecewise smooth boundaries must coi…

On the Approximate Solution of the Polyharmonic Problem

A. F. ZOLIN
1958 SovietRxiv: ru-195801.84843

This note presents an approximate method for the principal boundary value problem for the polyharmonic equation in a simply connected plane domain with piecewise smooth boundary. The boundary conditions are reformulated in terms of iterated Laplacians and normal derivatives, and approximate solution…

On a Particular Solution of the General Equations of the Theory of Ideal Plasticity in Cylindrical Coordinates

D. D. IVLEV
1958 SovietRxiv: ru-195801.84837

The paper derives a particular solution of the general equations of ideal plasticity in cylindrical coordinates under the Mises yield condition. Assuming axial symmetry, prescribed radial temperature dependence, temperature dependent expansion and yield limit, selected body forces, and a specified f…

Some Data on the Kinetics of Thermal Decomposition of Alkaline Earth Metal Acetates

A. M. RUBINSHTEIN and V. I. YAKERSON
1958 SovietRxiv: ru-195801.84791

This study examines the thermal decomposition kinetics of alkaline earth metal acetates in relation to vapor phase catalytic ketonization of acetic acid. Thermodynamic calculations and thermogravimetric experiments were used to estimate decomposition conditions for magnesium, calcium, strontium, and…

On a Linear Boundary Value Problem of Generalized Hydrodynamics. On the Theory of the Ultrasonic Interferometer

Unknown
1958 SovietRxiv: ru-195801.84662

This paper develops the acoustic part of a theory of the ultrasonic interferometer for monatomic gases in regimes where the usual hydrodynamic approximation is not applicable. It formulates and solves a linear one-dimensional boundary-value problem in generalized hydrodynamics for a gas between two …

On the acidic properties of $3$-acylpyrazoles

Unknown
1958 SovietRxiv: ru-195801.84400

This paper examines the origin of the weak acidic properties of 3-acylpyrazoles, considering whether salt formation involves an O-metal tautomeric form with disruption of pyrazole aromaticity or deprotonation at nitrogen induced by the electron-acceptor effect of the acyl group. The authors use infr…

On the Raman Scattering Spectra of Complex Compounds Containing $\mathrm{SbCl_3}$ and $\mathrm{SnCl_4}$

Unknown
1958 SovietRxiv: ru-195801.84307

This paper reports Raman scattering measurements on crystalline complexes of antimony trichloride with naphthalene and diphenyl ether, with comparison to the spectra of the separate components and to earlier data on related complexes. The spectra show intensity redistribution, frequency shifts, spli…

Study of Free Radicals Formed in Solids During Irradiation with Fast Electrons

Yu. N. MOLIN, A. T. KORITSKII, N. Ya. BUBEN
1958 SovietRxiv: ru-195801.84098

This paper reports an experimental study of free radicals formed in solid substances under irradiation by fast electrons, using electron paramagnetic resonance recorded directly during irradiation. The authors describe an apparatus combining an EPR spectrometer with a high-voltage electron accelerat…

ON THE LEVITZKI PROBLEM

Unknown
1958 SovietRxiv: ru-195801.84070

The paper addresses Levitzki’s problem for the class of associative rings with a strictly supporting monomial, a class introduced by Drazin that includes rings satisfying polynomial identities and rings with the minimal condition for right ideals. It proves a technical lemma on powers of ideals gene…

Range of slow secondary electrons in a metal and the role of inelastically reflected electrons in secondary electron emission

Unknown
1958 SovietRxiv: ru-195801.83956

This paper investigates the contribution of inelastically reflected and scattered primary electrons to slow secondary electron emission from metals, and estimates the escape depth of slow secondary electrons. Using spherical-condenser measurements of total and reflected emission from thin evaporated…

On the Theory of Anisotropy in Ferromagnetic Single Crystals

N. A. POTAPKOV
1958 SovietRxiv: ru-195801.83948

This paper develops a spin-wave treatment of magnetic anisotropy in ferromagnetic single crystals with hexagonal symmetry, extending Dyson’s method for interacting spin waves to an anisotropic exchange Hamiltonian. The analysis formulates the partition function in terms of spin-wave states, separate…

On the Nature of Bonds and Gas Permeability of Spatially Structured Polybutadiene

S. A. Reitlinger, A. S. Kuzminskii, and L. S. Feldshtein
1958 SovietRxiv: ru-195801.83853

This study examines how spatial cross-linking affects nitrogen permeability in polybutadiene and seeks to distinguish the effects of covalent network bonds from those of sulfur-containing polar groups and intermolecular forces. Polybutadiene networks were produced by heating, cobalt-60 irradiation, …

Retention of the Configuration of the Propenyl Radical in Metal-to-Metal Transfer Reactions

A. N. NESMEYANOV, A. E. BORISOV, and N. V. NOVIKOVA
1958 SovietRxiv: ru-195801.83822

This study examines whether the cis and trans configurations of the propenyl radical are preserved during metal exchange reactions at olefinic carbon. Starting from stereoisomeric 1-bromo-1-propenes, the authors prepared corresponding propenyllithium compounds and converted them at low temperatures …

ON THE QUESTION OF NONSTATIONARY PLANE FLOWS OF A POLYTROPIC GAS WITH RECTILINEAR CHARACTERISTICS

The equations of hydrodynamics for our case have the form: the Euler equations
1958 SovietRxiv: ru-195801.83624

This note classifies nonstationary plane adiabatic flows of a polytropic gas whose characteristics are rectilinear, interpreted as common level lines of the velocity components and sound speed in space-time. The Euler and continuity equations are transformed to characteristic parameters, producing a…

ON THE QUESTION OF THE DIRECTION OF THE CONTACT OXIDATION REACTION ON SEMICONDUCTOR CATALYSTS

I. I. Ioffe and F. F. Vol’kenshtein
1958 SovietRxiv: ru-195801.83565

This paper proposes a theoretical explanation for why vapor-phase oxidation of aromatic hydrocarbons follows different directions on different semiconductor oxide catalysts, using benzene oxidation as the main example. Interpreting known product patterns through the electronic theory of catalysis, i…

Polynomial Operations in Some Spaces

V. F. NIKOLAEV
1958 SovietRxiv: ru-195801.83433

This paper studies linear trigonometric polynomial operations between normed spaces of periodic summable functions satisfying translation invariance and density of trigonometric polynomials. It establishes a fundamental integral formula relating any such operation of order n to its action on the nth…

Interaction of 9 BeV protons with free and bound nucleons in nuclear emulsion

N. P. BOGACHEV, S. A. BUNYATOV, Yu. P. MEREKOV, and V. M. SIDOROV
1958 SovietRxiv: ru-195801.83335

This paper reports an emulsion chamber study of interactions of 9 BeV protons with free and quasifree nucleons in photographic emulsion. From 1308 recorded nuclear interactions, events consistent with proton-proton and proton-neutron collisions were selected using prong number, absence of evaporatio…

On the Cauchy problem for quasilinear equations

Unknown
1958 SovietRxiv: ru-195801.83130

The paper studies uniqueness for generalized, possibly discontinuous, solutions of the Cauchy problem for conservative quasilinear equations. It introduces potentials defined by integral conservation relations and shows that the Cauchy problem for generalized solutions can be reduced to a Cauchy pro…

On the Role of Ozone in Initiating Oxidation Reactions of Saturated Gaseous Hydrocarbons

N. A. KLEIMENOV and A. B. NALBANDYAN
1958 SovietRxiv: ru-195801.82826

This study examines how small additions of ozone initiate low-temperature oxidation of saturated gaseous hydrocarbons, addressing whether ozone reacts directly with fuel or acts through species formed during its decomposition. Flow experiments on hydrogen and propane oxidation by ozonized oxygen sho…

A NEW METHOD FOR PREPARING N-METHYLIMIDE OF CITRACONIC ACID

The reaction proceeds in two stages according to the following scheme:
1958 SovietRxiv: ru-195801.82746

This paper presents a modified synthesis of N-methylimide of citraconic acid intended to reduce resinification observed in earlier two-stage preparations through the intermediate amido acid. The authors argue that resin formation is associated with isomerization of citraconic acid derivatives to ita…

Synthesis of Ethanol from Carbon Dioxide and Hydrogen

Unknown
1958 SovietRxiv: ru-195801.82741

This study examines the catalytic synthesis of ethanol from carbon dioxide and hydrogen under pressure, a reaction that otherwise tends to yield methane, carbon monoxide, or methanol depending on conditions. A range of iron, cobalt, and nickel catalysts was tested in high-pressure flow and recircula…

Investigation of the Structure of Liquid $\mathrm{Bi}$ – $\mathrm{Sn}$ Alloys

N. V. ALEKSEEV and Ya. I. GERASIMOV
1958 SovietRxiv: ru-195801.82145

The study examines the structure of liquid bismuth, tin, and Bi-Sn alloys using high-temperature electron diffraction and radial distribution analysis. Thin metal films reinforced with quartz layers were prepared, diffraction intensities were normalized, and radial distribution functions were calcul…