Showing 50 of 25456 papers

Investigation of Elastic Wave Velocities in Rock Samples under the Combined Effect of Confining Pressure and Uniaxial Compression

M. P. VOLAROVICH, D. B. BALASHOV, I. S. TOMASHEVSKAYA, V. A. PAVLOGRADSKII
1963 SovietRxiv: ru-196301.56001

This paper examines how longitudinal ultrasonic wave velocities in rock samples change under combined hydrostatic pressure and uniaxial compression, a stress condition relevant to earthquake physics and tectonophysics. Using a high-pressure apparatus with independently varied confining pressure and …

Features of the Mössbauer Effect on $\mathrm{Sn}^{119}$ Nuclei in Organotin Oxides

A. Yu. Aleksandrov, K. P. Mitrofanov, O. Yu. Okhlobystin,
1963 SovietRxiv: ru-196301.55952

This study examines Mössbauer resonant absorption of the 23.8 keV transition of Sn-119 in organotin oxides of the homologous series R2SnO, focusing on isomer shifts, quadrupole splittings, and the probability of recoil-free absorption. Measurements at liquid nitrogen temperature show nearly identica…

Fine structure of the decay times of edge emission bands in $\mathrm{GaP}$ crystals

E. F. Gross, D. S. Nedzvetskii
1963 SovietRxiv: ru-196301.55856

This paper investigates the banded edge luminescence and afterglow of gallium phosphide crystals at 4.2 K, focusing on two narrow emission bands near 17750 and 17350 cm−1 and their phonon repetitions. Using continuous and intermittent optical excitation, the authors show that the bands are doublets,…

Phase Transitions in Antimony at High Pressure

S. S. KABALKINA, Corresponding Member of the USSR Academy of Sciences L. F. VERESHCHAGIN,
1963 SovietRxiv: ru-196301.55783

High-pressure phase transitions in antimony were investigated by preliminary X-ray diffraction measurements at 30, 50, 90, and 100 kbar using a calibrated high-pressure chamber. The results indicate a reversible transition near 50 kbar from the initial rhombohedral structure to a primitive cubic lat…

Oxidation of alkyl organomercury compounds

G. A. RAZUVAEV, S. F. ZHIL’TSOV, O. N. DRUZHKOV, G. G. PETUKHOV
1963 SovietRxiv: ru-196301.55630

This study investigates the oxidation by molecular oxygen of symmetrical alkyl organomercury compounds containing primary, secondary, and tertiary alkyl groups, with emphasis on the formation of oxidized organomercury intermediates. Oxidations of diisopropylmercury, ditert-amylmercury, and dibenzylm…

The Classes $\mathbf{L}_{(p_1,p_2,\dots,p_k)}(\Omega_m)$ and an Embedding Theorem for Abstract Set Functions

Unknown
1963 SovietRxiv: ru-196301.55588

The paper introduces mixed norm spaces for functions on bounded domains decomposed into groups of variables and studies singular integral potentials over finite dimensional domains or smooth manifolds. It proves boundedness estimates for potentials with kernel r to a negative power from appropriate …

Semigroups with a Dedekind structure of subsemigroups

L. N. SHEVRIN
1963 SovietRxiv: ru-196301.55447

The paper characterizes semigroups whose lattice of subsemigroups, including the empty subsemigroup, is Dedekind. Using structural lemmas on periodic semigroups, idempotent classes, and strong semilattices, it shows that such a semigroup decomposes as a strong semilattice of components each containi…

Periodic Subgroups of Algebraic Groups

Unknown
1963 SovietRxiv: ru-196301.55388

The paper studies periodic subgroups of linear algebraic groups over algebraically closed fields, with emphasis on conjugacy questions for Sylow subgroups and maximal periodic subgroups. Using structural results on maximal tori, normalizers, and solvable algebraic groups, it proves that Sylow p-subg…

On the Vibrations of Elastic Rods

I. M. RAPOPORT
1963 SovietRxiv: ru-196301.55286

The paper develops a method for reducing three-dimensional static and dynamic elasticity problems for rods to one-dimensional form without relying on the plane-section hypothesis. Elastic displacements are expanded in double power series over the cross-section coordinates, leading to an infinite sys…

Photoconductivity of Acetylene Polymers

V. S. Mylnikov, E. K. Putseiko, A. N. Terenin
1963 SovietRxiv: ru-196301.55242

This study examines the photoconductivity of the acetylene polymer poly-n,n-diethynylazobenzene, focusing on spectral behavior and the effects of ultraviolet irradiation. Thin polymer layers were measured under controlled voltage and illumination, with photoconductivity spectra compared to diffusion…

Study of Ion Exchange in $\mathrm{HF}$ Solutions. Group Separations of Elements Using Ion-Exchange Resins

Unknown
1963 SovietRxiv: ru-196301.55100

This study examines ion exchange behavior of numerous elements in hydrofluoric acid solutions to identify conditions for chromatographic group separation. Distribution coefficients were measured under static conditions using radioactive tracers with the anion exchanger AV-17 and cation exchanger KU-…

On Series with Respect to the Haar System

Unknown
1963 SovietRxiv: ru-196301.55096

This note studies Fourier series in the Haar system and contrasts their behavior with trigonometric Fourier series. It establishes sharp estimates for Haar Fourier coefficients of functions in Lp and of bounded variation, including summability consequences and examples showing optimality. The paper …

On a property of the location of singularities on the boundary of a polycylinder and its application to entire functions of several variables

Unknown
1963 SovietRxiv: ru-196301.55065

The paper studies the location of singularities of analytic functions on the boundary of polycylinders and applies this property to entire functions of several complex variables. It proves, by using plurisubharmonicity of the distance to the nearest singularity, that if a boundary point of a polycyl…

On linear elliptic systems of first order

M. Z. SOLOMYAK
1963 SovietRxiv: ru-196301.55037

The paper studies first order linear elliptic systems with real constant coefficients in Euclidean spaces and the restrictions imposed by Petrovsky ellipticity on the number of equations. It proves an existence criterion in terms of the Hurwitz, Radon, Eckmann function, showing that such systems of …

Reactivity of Isomeric Decanols as Intermediates in n-Decane Oxidation

I. P. Skibida, Z. I. Kulitskii, Z. K. Maizus
1963 SovietRxiv: ru-196301.54966

This study examines whether the reactivity of positional isomers of decanol depends on the location of the hydroxyl group during liquid-phase oxidation of n-decane. Using an open-system steady-state kinetic method, the authors compared the consumption of decanol-2, decanol-4, and decanol-5 at 140 de…

$\zeta$-function on the group of unitary matrices

L. D. ESKIN
1963 SovietRxiv: ru-196301.54901

This paper studies the spectral zeta function associated with the Laplace-Beltrami operator on the group of n-dimensional unitary matrices, equipped with its standard invariant metric. Using the radial part of the Laplacian, the author derives an explicit fundamental solution of the heat equation in…

Effect of Zinc Ions on Hydrogen Sorption and the Catalytic Activity of Palladium

N. A. ZAKARINA, G. D. ZAKUMBAEVA,
1963 SovietRxiv: ru-196301.54838

This study examines how zinc sulfate and zinc chloride affect hydrogen sorption on palladium and the catalytic hydrogenation activity of palladium black. Using charging curves, direct hydrogen uptake measurements, kinetic observations, and catalyst potential measurements, the authors compare acidic …

Rate Constants of Thermal Excitation of Sodium in Mixtures of Sodium Vapor with Argon and Nitrogen

V. N. Kondrat'ev
1963 SovietRxiv: ru-196301.54817

This paper estimates rate constants for thermal excitation of sodium atoms in mixtures of sodium vapor with argon and nitrogen by using experimental data on the reverse process, quenching of sodium D fluorescence. Applying detailed balance to published quenching cross sections, it derives an excitat…

Spin Density Distribution in Aromatic Metal Ketyls

I. D. MOROZOVA, M. E. DYATKINA
1963 SovietRxiv: ru-196301.54807

Spin-density distributions in several aromatic potassium ketyl radicals were calculated using the simple MO LCAO method with variable heteroatom parameters for the Coulomb and resonance integrals. The study examines diphenyl, di-alpha-naphthyl, di-beta-naphthyl, and phencyclone potassium ketyls, rel…

On the Association Effect of Polybutadiene Macromolecules in Various Solvents

I. Ya. Poddubnyi, E. G. Erenburg, E. P. Chernova-Ivanova,
1963 SovietRxiv: ru-196301.54795

This paper investigates the apparent association of polybutadiene macromolecules in solution, using light scattering, osmotic molecular weight measurements, and intrinsic viscosity data for branched potassium butadiene rubber and linear cis polybutadiene. Measurements in theta and near theta solvent…

Rheology of Polymers. Temperature-Invariant Characteristic of Anomalously Viscous Systems

G. V. Vinogradov, A. Ya. Malkin, N. V. Prozorovskaya,
1963 SovietRxiv: ru-196301.54777

This paper develops a temperature-invariant representation for the anomalous viscosity of polymer melts, extending reduction methods previously applied to viscoelastic and lubricant systems. Starting from a relation between effective viscosity, highest Newtonian viscosity, deformation rate, and gene…

On a Class of Spaces Containing All Metric and All Locally Bicompact Spaces

We shall give only the definitions and results. All spaces in what follows are assumed to be completely regular.
1963 SovietRxiv: ru-196301.54694

The paper introduces and studies spaces of countable type and point-countable type, defined through compact subsets of countable character, and shows that these classes include metric, locally compact, and Čech-complete spaces while forming subclasses of k-spaces with better stability properties. It…

Study of the Oxidation Rate of Substituted 1,5-Diphenylthiocarbohydrazides by a Spectrophotometric Method

Unknown
1963 SovietRxiv: ru-196301.54686

This study examines the oxidation of substituted 1,5-diphenylthiocarbohydrazides to the corresponding diarylthiocarbazones in benzene solution. The authors used the gradual appearance of the green thiocarbazone absorption to follow reaction progress spectrophotometrically, measuring optical density …

On current decay curves under potentiostatic anodic oxidation of zirconium

A. Ya. Shatalov, Yu. P. Gladkikh, V. V. Malygin
1963 SovietRxiv: ru-196301.54673

This paper examines current decay during potentiostatic anodic oxidation of zirconium, starting from an exponential relation between ionic current and electric field strength in the growing oxide film. The authors derive equations for decay curves under constant potential, then compare the predicted…

Existence of solutions to linear Hamiltonian equations with unbounded operator coefficients

1°.** Consider the Hamilton equation
1963 SovietRxiv: ru-196301.54625

The paper studies the Cauchy problem for linear Hamiltonian equations in a separable Hilbert space when the Hamiltonian operator coefficient is self-adjoint, positive, and generally unbounded, so that the resolving operator is also unbounded. Under a regularity condition on the square root of the co…

Determination of the Rate Constants of Elementary Reactions of Atomic Hydrogen and Oxygen with Ethylene

Unknown
1963 SovietRxiv: ru-196301.54526

This paper determines high-temperature rate constants for elementary reactions of atomic hydrogen and atomic oxygen with ethylene, processes relevant to hydrogenation and chain oxidation of unsaturated hydrocarbons. The authors derive ignition-limit relations for hydrogen-oxygen and carbon monoxide-…

On Finite-to-One Open Mappings of Manifolds

Unknown
1963 SovietRxiv: ru-196301.54449

This paper outlines proofs of several results on finitely multiple open and closed continuous mappings of connected manifolds, formulated in terms of completely continuous decompositions into finite sets. It proves that every such finitely multiple mapping has bounded multiplicity, that in a bounded…

Phosphinic acid esters with diacetylene radicals

Unknown
1963 SovietRxiv: ru-196301.54285

This paper reports that conjugated bromodiacetylenes undergo the Arbuzov rearrangement with triethyl phosphite to give diethyl phosphonate esters bearing diacetylenic radicals. The authors prepare methyl and ethyl substituted examples, describe their isolation and analytical constants, and confirm t…

First and Second Boundary Value Problems for Elliptic Equations Degenerating at a Finite Number of Interior Points

A. I. ACHIL’DIEV
1963 SovietRxiv: ru-196301.54230

The paper studies first and second boundary value problems for elliptic equations whose coefficients degenerate at isolated interior points, at infinity, or at both points in the whole space. It introduces a beta-normality condition expressed through barrier inequalities and proves a generalized max…

Some Properties of Manifolds of Dimension $4k+2$

S. P. NOVIKOV
1963 SovietRxiv: ru-196301.54110

Novikov studies manifolds of dimension 4k+2 through Thom space representatives, surgery, and invariants associated with kernels in middle homology, with particular attention to the 10-dimensional case. The paper defines and analyzes invariants generalizing Kervaire’s invariant by means of secondary …

Second-order phase transition in 2,4,6-trinitrophenol

B. N. EGOROV, G. B. RAVICH, B. G. KRYLOV
1963 SovietRxiv: ru-196301.53987

This paper reports dilatometric measurements of thermal expansion in solid 2,4,6-trinitrophenol over the range from 55 degrees Celsius to liquid nitrogen temperature, motivated by the study of second-order phase transitions in organic molecular crystals. Pressed polycrystalline samples of near singl…

Investigation of the Analytic Properties of Ladder Diagrams by the Method of Complex Orbital Moments

R. M. MURADYAN
1963 SovietRxiv: ru-196301.53848

This paper studies the analytic properties of ladder Feynman diagrams using the method of complex orbital angular momenta, with emphasis on their spectral representation in the transferred momentum variable. The author derives Legendre polynomial expansions for equal and unequal masses, applies the …

Closed graph theorems for uniform spaces

V. L. LEVIN, D. A. RAIKOV
1963 SovietRxiv: ru-196301.53725

This note extends the theory of Pták’s B-completeness, originally developed for locally convex spaces and later related by Kelley to completeness properties of hyperspaces, to general uniform spaces. It defines multivalued uniformly continuous, almost continuous, open, regular, and biregular mapping…

SPLIT LINEAR GROUPS

All groups considered below are linear.
1963 SovietRxiv: ru-196301.53650

This paper studies split linear groups over perfect fields, defined by closure under the semisimple and unipotent factors in the Jordan decomposition. It proves structural results for arbitrary locally nilpotent groups, including a direct product decomposition for split locally nilpotent groups and …

Solvation Energy of Ions in Formic Acid, Hydrazine, Acetonitrile, n-Butyl and Isoamyl Alcohols, and Acetone

Unknown
1963 SovietRxiv: ru-196301.53577

The paper applies a previously proposed extrapolation method for separating total solvation energies into individual ionic contributions to several nonaqueous solvents: formic acid, hydrazine, acetonitrile, n-butyl alcohol, isoamyl alcohol, and acetone. Total solvation energies are estimated mainly …

On the Resolvent of an Operator

Unknown
1963 SovietRxiv: ru-196301.53531

The paper studies the construction of the resolvent of the Sobolev type operator defined by the inverse Laplacian and the two-dimensional wave operator, reducing the problem to Green’s functions for an associated Dirichlet boundary value problem. Using a known fundamental solution and the method of …