Showing 50 of 25456 papers

Infrared Spectra of Olefin Complexes with Aluminum Halides

Unknown
1963 SovietRxiv: ru-196301.82509

This study examines the infrared spectra of complexes formed by ethylene, substituted olefins, and cycloolefins with aluminum chloride and aluminum bromide under vacuum, including low-temperature preparation to limit polymerization. The spectra show intense bands near 1540 to 1500 cm-1 assigned to a…

Theory of the Electrochemical Diode

R. Sh. NIGMATULLIN
1963 SovietRxiv: ru-196301.82402

A theoretical model is developed for an electrochemical diode consisting of an oxidation reduction electrolyte and a spherical microelectrode, under conditions where migration, convection, and double-layer charging may be neglected. The analysis formulates diffusion equations with electrode reaction…

On the existence and uniqueness of solutions to some nonlinear problems in the theory of nuclear reactors

O. B. MOSKALEV, V. A. CHUYANOV
1963 SovietRxiv: ru-196301.82151

This paper studies nonlinear transport equations arising in nuclear reactor theory, including reactor design with prescribed spatial heat release and flux dependent material temperatures. The authors formulate the neutron flux problem as a nonlinear eigenvalue equation for a positive integral operat…

On the error of numerical integration

Unknown
1963 SovietRxiv: ru-196301.82148

This paper studies error estimates for numerical integration of periodic multivariate functions whose absolutely convergent Fourier coefficients satisfy prescribed decay conditions. Using methods related to Korobov’s lattice constructions, it proves auxiliary counting and congruence lemmas that allo…

Weak-Interaction Asymptotic Expansions for the Vicinity of the Critical Temperature of the Phase Transition in a Modified Formulation of the Nonideal Bose-Einstein System Problem

Unknown
1963 SovietRxiv: ru-196301.82066

This paper examines asymptotic expansions for a weakly interacting nonideal Bose-Einstein system in the neighborhood of the phase transition temperature, where earlier expansions in either the interaction strength or condensate density become nonuniform. Using a modified scaling in which the tempera…

On the calculation of stationary resonant regimes of certain nonlinear oscillatory systems

V. M. VOLOSOV, B. I. MORGUNOV
1963 SovietRxiv: ru-196301.81998

The paper studies stationary resonant regimes in a class of weakly perturbed nonlinear oscillatory or rotational systems with slowly varying parameters. After transforming the equations near a resonance condition between the natural and forcing frequencies, the authors develop a specialized averagin…

On the Theory of Complex Media

Unknown
1963 SovietRxiv: ru-196301.81867

This paper develops a framework for constructing stress strain relations for a broad class of complex continuous media built from elastic, viscous, and plastic deformation mechanisms. Using one-dimensional and two-dimensional dynamical models, it introduces an indexing scheme for combinations of mec…

On the Homogeneous Oblique Derivative Problem for Harmonic Functions in Three-Dimensional Domains

Corresponding Member of the USSR Academy of Sciences A. V. BITSADZE
1963 SovietRxiv: ru-196301.81775

This note studies the homogeneous oblique derivative problem for harmonic functions in bounded three-dimensional domains when the prescribed boundary vector field is tangent to the boundary on a nonempty set, a case not covered by the standard theory. Using the maximum principle and Zaremba’s bounda…

FORMATION OF HD IN THE REACTION OF HYDROGEN ATOMS FORMED IN THE GAS PHASE WITH SOLID DEUTEROPOLYETHYLENE

The question of the possibility of a reaction of the type
1963 SovietRxiv: ru-196301.81765

This study examines whether thermal hydrogen atoms can abstract deuterium from solid deuteropolyethylene to form HD, a process relevant to explanations of hydrogen formation during hydrocarbon radiolysis. Hydrogen atoms generated on a hot tungsten filament were directed onto deuteropolyethylene samp…

On the Spectrum of Singular Non-Self-Adjoint Differential Operators of Order $2n$

Let us consider the differential expression
1963 SovietRxiv: ru-196301.81731

This note studies singular non-self-adjoint differential operators of even order on the half-line with complex locally summable coefficients and general boundary conditions at the origin. Using asymptotic representations of fundamental solutions of the equation l(y) = lambda y, it characterizes squa…

Comprehensive Study of the Crystallization of Polychloroprene Rubber–Nairit

B. Ya. Teitelbaum, T. A. Yagfarova, N. P. Anoshina, V. A. Naumov
1963 SovietRxiv: ru-196301.81724

This study examines the crystallization kinetics of polychloroprene rubber, nairit, after melting of the crystalline phase by heating to 50 °C and subsequent holding at room temperature or 0 °C. Thermomechanical curves were used to follow changes in deformability and to derive indices of crystalliza…

EXPERIMENTAL DETERMINATION OF THE MATRIX ELEMENT OF THE ELECTRONIC TRANSITION OF THE $\gamma$- AND $\beta$-SYSTEMS OF THE NO MOLECULE

E. T. Antropov, A. P. Dronov, N. N. Sobolev, V. P. Cheremisinov
1963 SovietRxiv: ru-196301.81675

This study experimentally determines the electronic transition matrix elements and oscillator strengths for selected bands of the gamma and beta systems of nitric oxide. Integral absorption coefficients were obtained from photometric analysis of absorption spectra recorded in a high pressure heated …

The Plancherel Formula for the Group of Unimodular Matrices of Order Two over a Locally Compact Field

I. M. GELFAND, M. I. GRAEV
1963 SovietRxiv: ru-196301.81564

This paper gives an inversion and Plancherel formula for the group of second order unimodular matrices over a nondiscrete locally compact field, focusing on the case of a totally disconnected field with residue characteristic not equal to 2. Using the previously described irreducible unitary represe…

On the Crystal Structure of Hodgkinsonite

L. P. SOLOV’EVA, N. V. BELOV
1963 SovietRxiv: ru-196301.81520

This note reinterprets the crystal structure of hodgkinsonite, previously solved by direct methods, and argues against the proposed analogy with norbergite. Using a polyhedral model and a transformed crystal-chemical cell, the authors describe hodgkinsonite as a two-layer hexagonal closest packing o…

Electromigration of Ions in Absolute Sulfuric Acid

Unknown
1963 SovietRxiv: ru-196301.81206

This study examines ion electromigration in absolute sulfuric acid in relation to proposed autoprotolytic formation of bisulfate and sulfur-containing cations. Using a radioisotope variant of the Hittorf method with sulfur-35 labeled acid, the authors measured transport during electrolysis and found…

On Capillary Impregnation of Spherical Granules and Diffusive Extraction at the Capillary Impregnation Stage

B. V. DERYAGIN, M. A. AL’TSHULER
1963 SovietRxiv: ru-196301.81172

This paper analyzes capillary impregnation of spherical porous granules and the accompanying diffusional extraction when a soluble substance occupies only part of the pore volume. Using Darcy’s law in a quasi-stationary approximation, the authors derive equations for the impregnation rate, limiting …

Toward a Nonlinear Theory of the Onset of Turbulence

E. M. Khazen
1963 SovietRxiv: ru-196301.80889

This paper develops a nonlinear closure for describing the onset and growth of turbulence in viscous incompressible flow beyond the small fluctuation regime treated by linearized or Gaussian approximations. It proposes a moment hypothesis relating fifth-order central moments to products of second- a…

$L_p$ Estimates for Solutions of Elliptic Equations with Discontinuous Coefficients Satisfying General Boundary Conditions and Interface Conditions

Z. G. Sheftel
1963 SovietRxiv: ru-196301.80749

This note establishes a priori estimates in Sobolev norms \(L_p\), for \(p>1\), for solutions of elliptic equations with discontinuous complex coefficients across an interface, subject to general boundary and conjugation conditions. The argument reduces the problem to local estimates near the surfac…

Solving Systems of Equations with One Unknown in Free Groups

Unknown
1963 SovietRxiv: ru-196301.80748

This note studies the decidability of systems of equations with one unknown in free groups. Building on Lyndon’s work on single equations, it shows that any solution of such a system must occur among values of finitely many parametric group elements of the form \(A S^m B T^n C\), with bounded word l…

On the photoelectret state in $\mathrm{CdS}$ single crystals

P. S. NESTERENKO
1963 SovietRxiv: ru-196301.80701

This study examines the photoelectret state in untreated CdS single crystals at room temperature and compares its spectral behavior with photoconductivity, photodepolarization, dark polarization, and infrared quenching. Measurements using monochromatic illumination and photodepolarization currents s…

Calculation of the rotation of optically active organomercury compounds and the stereochemistry of the addition of mercury salts to olefins

Unknown
1963 SovietRxiv: ru-196301.80679

This paper applies Brewster’s method for calculating molecular rotation to optically active organomercury compounds and to the stereochemistry of mercury salt addition to olefins. Using atomic refraction values, including an estimated value for mercury, the authors calculate rotations for known orga…

On the Sum of Differences of Eigenvalues of Two Singular Sturm–Liouville Operators

M. G. GASIMOV, B. M. LEVITAN
1963 SovietRxiv: ru-196301.80532

The paper studies trace type formulas for pairs of singular Sturm-Liouville operators on the half-line whose spectra are discrete and which differ in the boundary condition at the origin, and later also by a finite perturbation of the potential. Using finite interval approximations, interlacing of e…

Irreducible unitary representations of the group of second-order unimodular matrices over a locally compact field

Unknown
1963 SovietRxiv: ru-196301.80293

This paper studies irreducible unitary representations of the group SL(2,K), where K is an arbitrary locally compact nondiscrete field. It constructs the principal continuous series from multiplicative characters of K, realizes these representations through Fourier transforms and generalized kernels…

On a new glycoside, reoselin, from the root resin of Ferula pseudoreoselinum (Rgl et Schmalh.) K. Pol

Unknown
1963 SovietRxiv: ru-196301.80225

This paper reports the isolation and preliminary structural study of a new glycoside, named reoselin, from the ether-insoluble fraction of acetone-extracted root resin of Ferula pseudoreoselinum. The compound was characterized by melting point, optical rotation, elemental analysis, hydrolysis, hydro…

On the lower critical load for cylindrical shells

Thus, for example, for the lower critical load under axial compression of a cylindrical shell, the formula
1963 SovietRxiv: ru-196301.79861

This note examines lower critical loads for comparatively thick cylindrical shells whose postcritical deformations may produce stresses beyond the elastic limit of a material with limited elasticity. Building on earlier treatments for shells of unlimited elasticity, it argues that the ridge formatio…

Strength function for the isotopes $\mathrm{Ni}^{62}$, $\mathrm{Se}^{80}$, $\mathrm{Cd}^{114}$, and $\mathrm{Sn}^{118}$ in the neutron energy range 50–400 keV

E. A. Koltypin, G. B. Yan’kov
1963 SovietRxiv: ru-196301.79834

This paper reports measurements of neutron strength functions for separated isotopes Ni-62, Se-80, Cd-114, and Sn-118 in the 50 to 400 keV neutron energy range. Using neutrons from the T(p,n)He-3 reaction, the authors determined deviations of sample transparency from exponential attenuation by compa…

Use of Zone Melting to Determine Crystallization Fields and Eutectic Compositions of Multicomponent Molten Salt Systems

Unknown
1963 SovietRxiv: ru-196301.79671

This paper examines the use of zone melting to identify crystallization fields, crystallization paths, and eutectic compositions in molten salt systems with two to five components. Salt mixtures of known composition were subjected to repeated passage of a narrow molten zone, after which compositions…

On the Nature of the Minimum in the Potential Displacement Curves of a Platinized Platinum Electrode upon the Introduction of Organic Substances

Unknown
1963 SovietRxiv: ru-196301.79481

The paper examines the origin of minima in time curves of potential shift for platinized platinum electrodes after introducing organic substances in acidic solutions. Using potential measurements and gas analysis for acetaldehyde, propanol, and butanol, the authors argue that the observed minimum re…

Production cross section of $\mathrm{Li}^8$ in nuclear emulsion by 9 GeV protons

N. P. BOGACHEV, E. L. GRIGOR'EV, Yu. P. MEREKOV
1963 SovietRxiv: ru-196301.79458

This paper reports a measurement of the cross section for formation of Li8 fragments in nuclear emulsion irradiated by 9 BeV protons, addressing the limited data available above 1 BeV. NIKFI-R emulsions exposed at the Joint Institute for Nuclear Research synchrophasotron were scanned along primary p…

Elliptic boundary value problems depending on a parameter

M. S. AGRANOVICH, M. I. VISHIK
1963 SovietRxiv: ru-196301.79367

This note studies general elliptic boundary value problems for systems in a bounded domain whose differential and boundary operators depend polynomially on a complex parameter lying in an angle. It formulates algebraic semi-boundedness conditions, extending the ellipticity and Lopatinskii conditions…

Ground-Based Experiments with Weightless Liquids

Unknown
1963 SovietRxiv: ru-196301.79221

This paper reports a ground-based method for studying the behavior of liquids under transient weightlessness, motivated by earlier theoretical work on the equilibrium and oscillatory forms of non-wetting and ideally wetting liquids. The author describes a freely falling instrumented projectile conta…

On a Problem of Hua Loo-Keng

Unknown
1963 SovietRxiv: ru-196301.79144

The note addresses a problem of Hua Loo-keng concerning whether a two-dimensional affine lattice point set can contain infinitely many pairs of prime coordinates. For the case in which the determinant of the two linear forms in the variables is nonzero, the author introduces a weighted prime-countin…

On the Stability of Systems of Linear Integral Equations of Volterra Type

Let us consider a system of Volterra integral equations
1963 SovietRxiv: ru-196301.79074

The paper studies stability of systems of Volterra integral equations by reducing nonlinear or complex systems to majorant linear systems with nonnegative kernels and applying integral inequalities and generalized norming. It gives necessary and sufficient stability criteria for linear Volterra syst…