SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper applies the method of quantum Green’s functions to optical multiphonon transitions in polarons and F-centers under adiabatic electron, phonon coupling. It formulates the absorption characteristic function using phonon Hamiltonians for the initial and final electronic states, including bot…
The study determines thermodynamic properties of cobalt antimonides in the Co-Sb system, focusing on CoSb3, CoSb2, and CoSb despite known or possible deviations from stoichiometry in some phases. Electromotive-force measurements were made with cells containing cobalt, molten CoCl2-KCl-LiCl electroly…
This paper reports the first preparation and infrared study of double aryldiazonium salts of aluminum chloride and bromide. Because conventional aqueous or alcoholic methods caused hydrolysis, the authors developed a synthesis using aluminum halide etherates, obtaining substituted aryldiazonium alum…
This note develops a direct method for proving convergence of certain difference and differential-difference schemes without invoking existence or uniqueness theorems for the limiting differential problem. The argument uses one-sided a priori estimates and comparison of solutions on successively ref…
This paper develops exact treatments of one-dimensional adiabatic flows of an ultrarelativistic gas from the equations of relativistic hydrodynamics. After deriving the governing equations and characteristic relations for plane, cylindrical, and spherical symmetry, it focuses on the plane case and s…
This study investigates changes in the infrared absorption spectra of a resol phenol formaldehyde resin during curing from 20 to 200°C, using pressed KBr windows to improve reproducibility of sample thickness and spectral comparison. Spectra of uncured and cured samples show decreasing hydroxyl and …
This paper reports laboratory measurements of the polarization of light scattered in turbid media, motivated by the problem of interpreting underwater daylight polarization in the sea. Using a large tank illuminated by a vertical solar beam, a rotating photometer and Polaroid analyzer were used to d…
This paper examines the concentration dependence of the fluorine-19 nuclear magnetic resonance chemical shift in aqueous potassium bifluoride and potassium bifluoride, potassium fluoride systems, motivated by conflicting interpretations of shielding in hydrofluoric acid solutions. Using measured shi…
This paper analyzes the motion of an astatic gyroscope in a gimbal suspension when resistance to proper rotation is balanced by a driving moment, so that deviations of rotor speed influence the nutational motion. Using d’Alembert’s principle, the equations of motion are derived for the outer ring, i…
This paper generalizes the multidimensional Bochner theorem for positive definite functions to positive definite generalized kernels associated with systems of differential, and more general, operators. Using Hilbert space scales, generalized eigenvector expansions, and spectral measures for self-ad…
This note examines steady magnetohydrodynamic flow of a conducting viscous incompressible liquid through a rectangular pipe in a uniform transverse magnetic field, for the boundary configuration in which the walls parallel to the field are ideally conducting and the perpendicular walls are nonconduc…
This study examines the magnetic susceptibility of polyalkanopolyferrocenes and polyferrocenylenes in relation to the spacing and bonding of ferrocene residues in polymer molecules. Static susceptibility was measured for solid polymers by the Faraday method and for benzene solutions by the Gouy meth…
This paper strengthens earlier regularity results for bounded generalized solutions of quasilinear elliptic equations in divergence form and for Euler equations of variational integrals with natural growth in the gradient. Under reduced smoothness assumptions on the coefficients, together with coerc…
This paper studies spaces with affine connection that admit simply transitive or Abelian groups of affine collineations, with particular attention to torsion-free connections and their extensions. It derives the general form of a torsion-free affine connection admitting a simply transitive group of …
This paper examines approximate regularities governing the motion of liquid and gas mixtures with solid particles in pipes, focusing on hydraulic resistance and limiting transport capacity for different dispersed systems. Using dimensional criteria derived from averaged equations of heterogeneous fl…
This paper examines long-range hydrodynamic forecasting of pressure fields in the middle and upper troposphere over the Northern Hemisphere using a linearized two-level atmospheric model for the 700 and 300 millibar isobaric surfaces. The method expands initial absolute topography fields in spherica…
The paper studies spaces of functions analytic in bounded complete circular domains in two complex variables, more specifically \((p,q)\)-circular domains containing the origin. It constructs polynomial bases homogeneous with respect to \(w^{1/p}\) and \(z^{1/q}\), proves a convergence criterion for…
This paper gives a sufficient criterion for embedding certain monotone images of three-dimensional Euclidean space in four-dimensional Euclidean space. It considers continuous decompositions of Euclidean 3-space into points and smooth continua whose nondegenerate elements have zero-dimensional compa…
This paper reports the thermal alkylation of tetrahydrofuran with ethylene at elevated temperature and pressure, addressing an unexplored extension of alkane alkylation to saturated oxygen-containing rings. Experiments in a rotating autoclave examined the effects of temperature, reaction time, and e…
This paper investigates the potential functions of the methylchlorosilane series (CH3)nSiCl4-n, for n from 1 to 4, a set for which detailed force field analysis had previously been limited. Using published infrared and Raman spectra, together with earlier results for methylsilanes, the author calcul…
This paper examines general regularities governing stabilization of metastable beta solid solution in quenched titanium alloys. Using published and experimental critical concentrations for binary titanium alloys with beta-stabilizing elements, the authors compare alloying effectiveness with periodic…
The paper extends a parameter variation method for approximating eigenvalues and eigenvectors of matrices to the case of complex eigenvalues of real parameter dependent matrices. By differentiating the characteristic equation with respect to the parameter, it derives differential equations for the r…
This paper reports experimental measurements of the enthalpy of molybdenum from about 700 to 2337 degrees Celsius, extending available data for this refractory metal beyond the previously studied range. The authors used a mixture-method calorimetric apparatus with a massive calorimeter and isotherma…
The paper extends earlier results on parabolic equations to Banach spaces for time dependent unbounded operators whose fractional powers satisfy uniform domain and continuity conditions. It proves existence of an evolution operator for the homogeneous problem, including semigroup composition, differ…
This paper extends the quasi-stationary theory of thermal explosion to forced dynamic regimes in which the ambient temperature rises linearly with time, rather than remaining constant or changing through reaction self-acceleration. Starting from heat balance and conversion equations, the analysis fo…
This study examines the synthesis of alpha-furylnitroethylene and its capacity to form heterocyclic nitro-containing polymers, a class described as insufficiently investigated. The monomer was prepared by condensation of furfural with nitromethane in the presence of an anion-exchange resin, giving y…
This study examines the mechanism of chlorophyll fluorescence quenching by aromatic nitro compounds, with particular attention to whether the primary act involves electron transfer. Fluorescence measurements in benzene solutions compared chlorophyll a, chlorophyll b, and pheophytin with nitrobenzene…
The paper studies norm and pointwise inequalities for entire functions of finite exponential degree in several variables, extending Bernstein type estimates and Nikol’skii inequalities. It derives a refined embedding inequality between Lp norms for classes of entire functions with prescribed degrees…
This note presents an exact method for evaluating singular and regular integrals with Cauchy-type kernels on the interval from minus one to one, of forms arising in continuum mechanics. The method introduces an analytic function in the unit disk, real on the real axis, and uses its expansion togethe…
This paper studies stability and asymptotic stability of solutions of second order ordinary differential equations, with emphasis on linear equations with variable coefficients. It first proves comparison theorems and derives amplitude estimates for solutions, then applies these estimates to the lin…
This paper develops a simple model for cometary halos as thin spherical layers produced by a short, isotropic ejection of particles from a point source under an approximately constant solar repulsive acceleration. It derives expressions for the projected particle density, locates the maximum apparen…
This article proposes a coordination-chemical interpretation of the extraction behavior of inner-complex compounds, relating extractability to whether the central metal atom is coordinatively saturated or unsaturated. It argues that coordinatively unsaturated complexes usually retain coordinated wat…
This paper investigates the isomerization behavior of 2-bromo-3,3-dichlorobutene-1, prepared from 1-bromo-3,3-dichlorobutane through dehydrobromination, bromination, and further elimination. The compound is shown to isomerize on standing or under ultraviolet irradiation to 1-bromo-2,3-dichlorobutene…
This study examines the angular distribution of atoms sputtered from single-crystal copper under ion bombardment, focusing on the formation of characteristic Wehner, or Venus, spots along crystallographic directions. Using an argon ion beam and x-ray film collectors placed at varying distances, the …
This paper examines chemical reactions carried out in a chromatographic regime, where differential distribution of reactants, products, or impurities between phases causes their separation during flow through a reactor. Using a pulse introduction model and assuming mass exchange is faster than react…
The paper examines mechanisms by which hydrogen Lyman-alpha quanta in nebulae and interstellar hydrogen can be converted into two-photon radiation. After reviewing two previously discussed processes, it proposes a third mechanism in which Doppler shifts from thermal atomic motions allow absorption d…
This paper reports observations on the crystallization of beryllium oxide from the gas phase at temperatures of 1600 to 1900°C in an argon atmosphere using compact polycrystalline BeO in a graphite resistance furnace. The authors describe the formation of plate, rod, prism, dendritic, and whisker-li…
This note generalizes a theorem of Eichler on the remainder term in representation numbers associated with positive definite quaternary quadratic forms. For a theta series with a rational characteristic satisfying a level congruence, the author decomposes it into Eisenstein and cusp parts and studie…
This study compares the effects of several forms of radiation on the catalytic dehydration of n-decyl alcohol over high-purity aluminum oxide. Alumina catalysts were irradiated in a reactor with neutrons and gamma rays for different durations, modified by introducing radioactive cerium-144 chloride …
This paper examines the resistance of selected polymer plastics to cavitation erosion, a property for which comparative data were lacking in contrast to established scales for metals. Experiments were conducted in a hydrodynamic tube under controlled cavitation conditions using plate and cylindrical…
This study examines the interaction of selected rare-earth elements with dibutyl phosphate and evaluates its use for extractive separation. Using distribution measurements, fractional extraction, isolation and analysis of solid compounds, solubility experiments in carbon tetrachloride, conductivity …
The paper studies systems of Boolean algebra equations whose coefficients are multivalued, represented as partially ordered segments of Boolean functions, and organized into complete coalitions of coefficient tuples. It defines coalitions of equations and their particular, general, coalitionary, and…
This paper studies a continuous analogue of polynomials orthogonal on an arc of the unit circle, formulated through families of entire functions that provide isometric transforms of L2 functions on the half-line. For a spectral measure supported on the real axis with the interval (-1, 1) removed, th…
This study examines the mechanism of mutual dissolution and phase redistribution in Au-Pt alloys containing 10 and 25 at.% Pt, using successive quenching, X-ray diffraction, density measurements, and microhardness testing. The results show that dissolution proceeds periodically through the formation…
This paper investigates the initial stages of secondary plastic deformation in metals whose deformation anisotropy is produced by prior plastic loading and subsequent partial or complete unloading. Using combined tension and torsion tests on thin-walled tubular specimens of technically pure nickel, …
This paper studies local inequalities for orthonormal polynomials on the unit circle, relating positivity of the derivative of the orthogonality distribution, growth bounds for the Christoffel kernel, and pointwise boundedness of the polynomials. It proves that, under a local regularity condition, a…
This study examines how beta radiation from yttrium isotopes affects the dissolution and apparent solubility of yttrium oxide, which hydrates in water to yttrium hydroxide. Radioactive yttrium oxide preparations containing Y-90 or Y-91 over a range of specific activities were prepared under identica…
This paper studies one-dimensional gas motion behind a piston moving at constant velocity in a medium with a weak power-law density inhomogeneity. Using dimensional variables, the solution is written as a perturbation of Sedov’s self-similar homogeneous-medium solution, leading after linearization t…
The paper studies expansions in eigenfunctions for a nonselfadjoint second order system of differential equations on the half-line in the space of vector-valued square integrable functions, with a matrix potential and a boundary condition at the origin. Using matrix solutions with prescribed asympto…
This paper develops approximate equations for the coupled oscillations of water and a vessel in the chambers of transport ship lifts and locks. Using linearized long wave theory, it formulates water motion together with equations for the vessel’s vertical and longitudinal pitching oscillations, incl…
