Showing 50 of 25456 papers

X-ray structural study of naphthazarin

Unknown
1958 SovietRxiv: ru-195801.89489

This study examines the crystal structures and polymorphism of naphthazarin, focusing on an X-ray structural analysis of the dark-green needle modification. The authors report unit-cell parameters and space groups for three modifications obtained by crystallization or sublimation, then use Patterson…

Thermodynamics of Superconductors

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1958 SovietRxiv: ru-195801.89437

This paper develops a finite-temperature thermodynamic treatment of superconductors using the Fröhlich Hamiltonian with the electron-phonon interaction retained explicitly. Applying Bogolyubov canonical transformations and thermodynamic perturbation theory, it introduces renormalized fermion and pho…

Vinyl Compounds in Diene Synthesis. On the Diene Synthesis of Thiovinyl Ethers with Cyclopentadiene and Hexachlorocyclopentadiene

M. F. Shostakovskii, A. V. Bogdanova, T. M. Ushakova
1958 SovietRxiv: ru-195801.89091

This study examines the participation of thiovinyl ethers in diene synthesis with cyclopentadiene and hexachlorocyclopentadiene, focusing on vinylethyl sulfide and vinylphenyl sulfide. Through thermal reactions in autoclaves or reflux apparatus followed by fractionation and elemental characterizatio…

On Possible Ways of Measuring the Concentration of Slow Neutrons in the $F_2$ Layer of the Ionosphere

V. N. KESSENIKH
1958 SovietRxiv: ru-195801.89045

This paper examines whether slow neutrons in the ionospheric F2 layer could contribute to residual nighttime ionization through beta decay, and considers how their concentration might be measured directly. Using order of magnitude estimates, it relates a neutron concentration near 1 per cubic centim…

On the Relationship Between Integral Equations of Convolution Type and Equations with the Cauchy Kernel

Unknown
1958 SovietRxiv: ru-195801.89031

This note studies the relationship between integral equations of convolution type on the real line and singular integral equations with a Cauchy kernel. It introduces weighted function classes for the unknown function, kernels, and right hand side, then uses Fourier transforms and analytic continuat…

Microstructure of Stresses in Slip Lines and Dislocations

V. L. INDENBOM and G. E. TOMILOVSKII
1958 SovietRxiv: ru-195801.89020

This paper examines whether slip lines in crystals can be understood as arrays of ordinary edge dislocations rather than as effects of microcrack opening and closing. The authors derive the stress and birefringence fields for a periodic row of edge dislocations in a slip plane, predict the correspon…

On the asymptotics of solutions of problems with rapidly oscillating boundary conditions for partial differential equations

M. I. Vishik, L. A. Lyusternik
1958 SovietRxiv: ru-195801.89006

This paper studies boundary-layer asymptotics for solutions of first boundary-value problems for elliptic partial differential equations of arbitrary even order when the boundary data oscillate rapidly. Using local boundary coordinates, a rescaling normal to the boundary, and an iterative expansion …

Stresses in a Symmetrically Heated Spherical Shell Whose Mechanical Properties Depend on Time and Temperature

Unknown
1958 SovietRxiv: ru-195801.88998

This paper analyzes thermoelastic stresses in a closed spherical shell subjected to a known nonuniform, spherically symmetric temperature field, allowing the Lamé coefficients, thermal expansion, and relaxation kernels to depend on temperature and time. Using generalized Volterra constitutive relati…

Zemplén's theorem in magnetohydrodynamics

Unknown
1958 SovietRxiv: ru-195801.88996

This paper extends the Zemplen theorem to shock type discontinuities in ideal magnetohydrodynamics for media of infinite conductivity and negligible dissipation. Starting from the magnetohydrodynamic jump conditions, it eliminates the tangential magnetic field to analyze the associated Hugoniot curv…

Asymptotic Solutions of the Equation of Motion of a Nonlinear Oscillatory System with One Degree of Freedom and Slowly Varying Parameters

G. E. KUZMAK
1958 SovietRxiv: ru-195801.88886

The paper develops asymptotic solutions for a nonlinear one degree of freedom oscillatory system with slowly varying parameters and weak dissipation, over time intervals of order 1 divided by the small parameter. Using the method of standard equations, the solution is represented through a periodic …

An Example of a Zero-Dimensional Normal Space Having Infinite Dimension in the Sense of Coverings

Yu. SMIRNOV
1958 SovietRxiv: ru-195801.88848

Smirnov generalizes Dowker’s example of a normal space with small inductive dimension zero but larger covering dimension. The paper studies convergent subsets of the product of the space of countable ordinals with a separable metric space, proving that such subsets are normal, countably paracompact,…

A general case of stationary distribution of the apparent density in the head of a comet when there is constant isotropic emission

D. O. MOKHNACH
1958 SovietRxiv: ru-195801.88830

This paper generalizes a model for the apparent density distribution in a comet head produced by constant isotropic molecular emission. By rotating the cometocentric coordinate system and integrating the spatial density along an arbitrary line of sight, it shows that the stationary apparent density …

Expansion Formula for an Arbitrary Function in a Series of Fundamental Functions of a Class of Boundary Value Problems with a Parameter

Unknown
1958 SovietRxiv: ru-195801.88761

The paper derives an expansion formula for arbitrary functions in \(L_2\) in terms of fundamental functions associated with a class of parameter-dependent boundary-value problems for linear partial differential equations. The class considered permits partial separation of variables, reducing the ana…

Bicompact Extensions of Semibicompact Spaces

E. SKLYARENKO
1958 SovietRxiv: ru-195801.88745

The paper studies bicompact extensions of semibicompact Hausdorff spaces, focusing on when the remainder of an extension is zero-dimensional. Using special bases of open sets with bicompact boundaries and methods from proximity space theory, it constructs compatible proximities and the corresponding…

Measurement of the Vapor Pressure of Cobalt and Nickel

An. N. Nesmeyanov and De Dyk Man
1958 SovietRxiv: ru-195801.88716

This paper reports measurements of the vapor pressures of cobalt and nickel, motivated by discrepancies among earlier Langmuir and effusion determinations and by the absence of reliable Langmuir coefficients. Using an integral effusion method with molybdenum chambers and varied orifice areas, the au…

A Method for Synthesizing Multipole Contact Circuits

V. N. GREBENSHCHIKOV
1958 SovietRxiv: ru-195801.88713

This paper proposes an algebraic procedure for synthesizing general multiterminal contact circuits from prescribed Boolean conductivities between terminal pairs. The method is based on successive extraction of external contacts, classified as longitudinal, transverse, or longitudinal-transverse, wit…

Solubility of Silicon Tetraiodide in Nonaqueous Solvents

I. R. Krichevskii, G. F. Ivanovskii, and E. K. Safronov
1958 SovietRxiv: ru-195801.88607

This paper reports a systematic study of the solubility of purified silicon tetraiodide in nonaqueous solvents relevant to recrystallization during high-purity silicon production. Solubilities were measured by Alekseev’s sealed-ampoule method under dry nitrogen in benzene, toluene, xylene, cyclohexa…

Scheme for Calculating the Physicochemical Properties of Paraffin Hydrocarbon Derivatives

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1958 SovietRxiv: ru-195801.88570

This paper extends Tatevskii’s bond type and subtype approach from hydrocarbons to substituted paraffin derivatives of the general formula CnH2n+2-mXm, where X is a monovalent substituent. It develops a calculation scheme in which physicochemical properties are expressed through the numbers of carbo…

Chemically Inhomogeneous Structure of Sodium Borosilicate Glasses

N. S. Andreev, E. A. Porai-Koshits
1958 SovietRxiv: ru-195801.88478

This study examines whether sodium borosilicate glasses possess a chemically heterogeneous structure rather than a homogeneous random network. The authors apply small-angle X-ray scattering to polished unleached glass plates of composition 7 mol percent sodium oxide, 23 mol percent boron oxide, and …

THE CRYSTAL STRUCTURE OF ASTRACHANITE

Unknown
1958 SovietRxiv: ru-195801.88431

The crystal structure of astrakhanite, Na2Mg(SO4)2·4H2O, was determined from X-ray rotation and goniometric data using direct statistical methods for phase determination and Fourier syntheses of several projections. The monoclinic cell was confirmed as a = 11.03 Å, b = 8.14 Å, c = 5.49 Å, beta = 100…

Reduction of diene hydrocarbons with a conjugated system of double bonds by hydrogen “at the moment of liberation”

I. V. GOSTUNSKAYA, N. I. GUSAR, A. I. LEONOVA, and B. A. KAZANSKII
1958 SovietRxiv: ru-195801.88389

The study examines how conjugated diene hydrocarbons are reduced by hydrogen generated in situ and whether metal amides formed during reduction alter product distributions through secondary double-bond isomerization. Diisopropenyl and diisocrotyl were reduced using calcium hexammine, sodium in liqui…

Cosmic Radiation Products in the Sikhote-Alin Meteorite

E. K. Gerling and L. K. Levsky
1958 SovietRxiv: ru-195801.88242

This study examines cosmogenic inert gases in the Sikhote-Alin iron meteorite, focusing on isotope abundances of helium, neon, and argon in individual shower specimens and as a function of depth in a large sample. The authors extracted gases by melting drilled core layers and other samples under vac…

Catalytic interaction of alkyldichlorosilanes with halogen-substituted benzenes

G. N. MAL’NOVA, E. P. MIKHEEV, A. L. KLEBANSKII, and N. P. FILIMONOVA
1958 SovietRxiv: ru-195801.88097

The study examines the catalytic arylation of methyl- and ethyldichlorosilanes with chlorobenzene and fluorobenzene to form alkylhalophenyldichlorosilanes. Reactions were carried out in stainless-steel autoclaves using boric acid, which forms soluble silicon, oxygen, boron-containing catalytic speci…

On a Classical Model of an Indefinite Metric

B. V. MEDVEDEV and M. K. POLIVANOV
1958 SovietRxiv: ru-195801.88084

The paper develops a classical field-theoretic analogy for the use of an indefinite metric in quantum field theory. It considers a physical complex field coupled to auxiliary fictitious fields, some with negative energy, and analyzes conditions under which these fields do not exchange dynamical quan…

ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH ANALYTIC COEFFICIENTS

Unknown
1958 SovietRxiv: ru-195801.88072

This note studies the Cauchy problem for first order systems of linear partial differential equations with analytic coefficients and analytic initial data, focusing on convergence of a simple finite difference approximation. By extending the variables to a complex domain and using Cauchy estimates t…

On the So-Called Period–Luminosity Relation in Cepheids

Unknown
1958 SovietRxiv: ru-195801.88038

This paper reassesses the Cepheid period luminosity relation in light of Baade’s revised zero point and Sandage’s report that Cepheids of a given period occupy a luminosity band rather than a narrow curve. Using the author’s theory of stellar variability, especially the nonadiabaticity parameter of …

Study of the Structure of Carbonization Products of Carbon-Containing Substances by Electron Paramagnetic Resonance and X-ray Diffraction

N. N. TIKHOMIROVA, B. V. LUKIN, L. L. RAZUMOVA
1958 SovietRxiv: ru-195801.87956

This study examines structural changes and free-radical states formed during carbonization of polyvinyl chloride and polyvinylidene chloride between 350 and 700 °C. Electron paramagnetic resonance was used to measure signal widths and infer the localization and interactions of unpaired electrons, wh…

Absorption spectra of molecular complexes of 9-( $n$ -dimethylaminostyryl)acridine with 10-ethyl-9( $\beta$ -carbomethoxyethyl)acridinium iodide

Unknown
1958 SovietRxiv: ru-195801.87711

This paper examines donor-acceptor molecular complexes formed by 9-(p-dimethylaminostyryl)acridine and 10-ethyl-9-(beta-carbomethoxyethyl)acridinium iodide, with attention to bathochromic shifts arising without a continuous intramolecular conjugated chain. Absorption spectra in ethanol and chlorofor…

Europium Hexaboride

G. V. SAMSONOV, V. P. DZEGANOVSKII, and I. A. SEMASHKO
1958 SovietRxiv: ru-195801.87293

Europium hexaboride, previously unsynthesized among the rare-earth hexaborides, was prepared by borocarbide reduction of europium oxide in vacuum at 1650°C. Powder X-ray diffraction showed that the product corresponds to EuB6 and has the cubic hexaboride structure with lattice parameter 4.167 ± 0.00…

Decomposition of Unsymmetrical Diaryliodonium Salts with Bismuth Powder in the Presence of Bismuth Trichloride

Corresponding Member of the Academy of Sciences of the USSR O. A. REUTOV, O. A. PTITSYNA
1958 SovietRxiv: ru-195801.87074

This study examines the decomposition of unsymmetrical diaryliodonium chlorides by bismuth powder in the presence of bismuth trichloride as a route to organobismuth compounds. The authors prepared several unsymmetrical iodonium salts and decomposed them in acetone, followed by ammonia treatment to c…

Thermodynamics of the Formation of Higher Iron Antimonide

V. A. Geiderikh, Ya. I. Gerasimov, and A. A. Vecher
1958 SovietRxiv: ru-195801.87047

The study determines the thermodynamic quantities for formation of the higher iron antimonide, FeSb2, from solid iron and antimony. Electromotive force measurements were made for cells containing FeSb2 and antimony alloys in the heterogeneous region of the Fe-Sb phase diagram over 410 to 610 degrees…

Some Stationary Relativistic Flows

K. P. STANYUKOVICH
1958 SovietRxiv: ru-195801.86898

This paper analyzes stationary adiabatic relativistic flows with one-dimensional, cylindrical, or spherical symmetry. Starting from the relativistic continuity and Bernoulli equations, it derives general relations for velocity, heat content, and radius, showing that the physical flow is defined outs…

Estimates of Weyl Sums and the Distribution of Prime Numbers

Unknown
1958 SovietRxiv: ru-195801.86703

The paper develops improved estimates for Weyl sums associated with polynomials of degree \(n+1\), using a fundamental lemma based on Hölder’s inequality, solution counts for systems of power equations, and Vinogradov-type mean value estimates. It proves bounds for arbitrary Weyl sums when the leadi…

The Effect of Triethanolamine on Photographic Emulsions

A. P. Zhdanov, A. L. Kartuzhanskii, I. V. Ryzhkova, and L. I. Shur
1958 SovietRxiv: ru-195801.86507

This study investigates how triethanolamine affects the sensitivity of photographic emulsions to light and ionizing radiation, with the aim of clarifying the mechanism behind its known sensitizing action in nuclear emulsions. Seven emulsions were treated with varying concentrations of triethanolamin…