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 addresses the estimation of interphase surface free energy at the metal crystal or polycrystal and melt boundary, a quantity important for crystallization and previously argued to be overestimated by calculations based on Dupré’s formula. Using Gibbs’ thermodynamic theory of capillarity a…
This paper develops a method for solving a proposed equation describing the influence of bottom relief on bends in the Antarctic Circumpolar Current, for prescribed current transport and zonal wind stress. The bottom topography is treated as a smoothed large-scale field obtained by harmonic approxim…
This note develops a method for solving the one-dimensional general Stefan problem with an arbitrary finite number of phases, variable coefficients in the parabolic equations, and variable coefficients in the phase interface conditions. A generalized solution is defined through an integral identity …
The paper studies the convergence rate for the probability that normalized partial sums of independent bounded random variables remain between two Lipschitz boundary functions on the interval from 0 to 1. It proves that, under zero mean, unit variance, and a uniform boundedness assumption, this boun…
This paper develops a unified theoretical treatment of light absorption and luminescence bands in complex molecules within the adiabatic approximation. Starting from trace expressions for the Fourier transforms of absorption and emission spectral densities, it discusses how continuous bands can aris…
This paper extends Gor’kov’s Green function formulation of superconductivity from a model four fermion interaction to an explicit electron phonon interaction, neglecting Coulomb forces and considering the zero temperature case. Starting from coupled Heisenberg equations for electrons and longitudina…
This paper studies locally bicompact solvable topological groups in relation to descending chain conditions on closed subgroups. It proves that such a group satisfies the minimality condition for all closed subgroups exactly when every closed abelian subgroup satisfies the corresponding minimality c…
This paper proves a mean-value theorem for solutions of a linear uniformly elliptic equation in an open multidimensional domain, under Lipschitz, more generally Hölder, regularity assumptions on the coefficients and with right-hand side in an \(L_p\) class. The argument constructs an averaged identi…
This study examines the structure of the electrical double layer on monocrystalline zinc electrodes by measuring differential capacitance, with attention to capacitance dispersion, adsorption of surface-active ions, and comparison with mercury and gallium electrodes. The authors measured capacitance…
This study reports a detailed X-ray investigation of three variable-composition phases in the niobium tellurium system, previously identified across the ranges NbTe0.18 to NbTe0.82, NbTe1.00 to NbTe1.70, and NbTe2.33 to NbTe4.00. Samples were prepared by prolonged vacuum sintering of niobium and tel…
This paper examines the source of free radicals responsible for chain initiation at the initial stage of liquid-phase oxidation in systems containing an organic substrate and dissolved oxygen. By estimating initiation rates for the commonly assumed bimolecular reaction between RH and oxygen, using b…
This study examines chemisorption of oxygen and acetylene on nickel sulfide, a semiconductor with degenerate conductivity, and on NiS modified with small additions of lithium sulfide or indium sulfide. Adsorption was measured by a vacuum pressure-drop method over selected temperature ranges, with su…
This paper studies anomalous, or unphysical, thresholds in perturbation theory for elementary particle reaction diagrams, with emphasis on their relevance to Mandelstam spectral representations. Using the alpha representation of Feynman diagram amplitudes, it derives general criteria for when the fi…
This paper develops local duality theorems for arbitrary subsets of an n-dimensional sphere. It defines local homology groups at a point using directed systems of compact subsets and neighborhoods, and defines corresponding Betti groups for complements by inverse limits, with coefficients in dual co…
This paper examines whether a semiconductor catalyst undergoes reversible changes in electronic properties during a catalytic reaction, using manganese dioxide in the oxidation of carbon monoxide as a model system. Electrical conductivity was measured in a flow-circulation vacuum apparatus under vac…
This paper reexamines the reported rearrangement of the propyl cation formed during the reaction of n-propylamine-1-C14 with nitrous acid, which had been interpreted as a skeletal rearrangement of pinacol type. By repeating the reaction and degrading the resulting n-propyl and isopropyl alcohols thr…
This paper studies tangentially degenerate multidimensional surfaces in affine or projective space, defined by tangent planes depending on fewer parameters than the dimension of the surface. It analyzes parallel correspondences and Peterson transformations, then proves that every surface of dimensio…
A synthesis of 1-methyl-1,2-dicyclopropylcyclopropane is reported, addressing the difficulty of preparing hydrocarbons containing three cyclopropyl groups by the usual unsaturated ketone, pyrazoline, hydrocarbon route. Methyl cyclopropyl ketone was converted to its ketazine in high yield, then isome…
The paper formalizes algorithms for simplifying reduced disjunctive normal forms by treating simplification as the assignment of informational marks to conjunctions, including marks indicating membership or nonmembership in classes of minimal forms. It introduces neighborhoods of conjunctions, a mar…
This paper studies the realization of two-dimensional orientable metrized manifolds as surfaces in three-dimensional Euclidean space, extending earlier isometric embedding results for differentiable Riemannian metrics to metrics given intrinsically by distances between pairs of points. The main theo…
This paper proposes the principle of movable interlocks for constructing circuits in electronic digital computers from semiconductor inverter-shapers and diode logic elements. The method allows feedback connections to be established or broken dynamically among different combinations of inverters, so…
This study examines complex formation of Co(II) in the CoCl2, HCl, and water system, addressing conflicting prior interpretations and the lack of quantitative data for species present in solution. Electronic absorption spectra of solutions at varying CoCl2 and HCl concentrations were compared with s…
This study examines high-temperature gas-phase condensation reactions of silicon hydrides with alpha- and beta-chloronaphthalenes, p-dichlorobenzene, and related aryl chlorides as a route to arylchlorosilanes. The authors varied temperature, reactant ratios, and contact time, isolated chlorosilane p…
This paper studies the Riemann boundary value problem for analytic functions on a multiply connected Lyapunov contour when the coefficient is only measurable. The coefficient is assumed bounded away from zero and infinity and to have, locally at each contour point, argument oscillation less than a f…
This paper examines potentiometric titration of organic bases in nonaqueous media, focusing on the limitations of protogenic solvents for differentiated analysis of base mixtures. The authors propose methyl ethyl ketone as both solvent and medium for perchloric acid titrant, and compare its performa…
The study examines equilibrium potentials of zirconium in mixed sodium and potassium chloride melts containing fluoride additions, a system relevant to molten-salt electrolysis and to understanding complex formation in fluoride-chloride media. Zirconium was introduced by anodic dissolution, and elec…
The paper studies recurrent functions on the real line in relation to ergodicity, addressing the fact that general recurrent motions need not be strictly ergodic. It defines classes of recurrent functions determined by continuous generating functions satisfying a uniform vanishing mean condition for…
This study examines how ionizing radiation changes the potential of a smooth platinum electrode in 0.8 N sulfuric acid, with emphasis on distinguishing the roles of radical and molecular products of water radiolysis. Using X-ray irradiation over varied dose rates, cell geometries, gas saturation con…
This paper develops a statistical formulation for classical nonlinear fields by assigning microcanonical and canonical probability functionals over field configurations and, when finite energy and invariants are imposed, over the world lines of particle-like field solutions. It argues that nonlinear…
The paper derives a closed form solution for the turbulent diffusion equation describing the spread of an impurity from an instantaneous point source in a stratified atmosphere with constant horizontal transport and diffusion coefficients and a prescribed height dependent vertical wind component nea…
This study examines molecular complexes formed by chlorophyll and pheophytin with several metal salts, including mercury, beryllium, aluminum, bismuth, niobium chlorides, and silver perchlorate. Using absorption spectroscopy in anhydrous solvents and isolation of precipitated products, the authors s…
This paper studies when a finite metric space can be embedded isometrically into a unit cube with the Hamming metric, and how to determine all binary codes realizing a given distance matrix. It reformulates the nonlinear realization problem as an integer linear programming problem using characterist…
This paper applies the retarded Green’s function method to exciton states in crystals, with emphasis on treating electron correlations at finite temperature. Starting from a general electron Hamiltonian on a lattice, it derives an equation of motion for a two-particle Green’s function and closes it …
The paper examines whether beta-monohydroperfluoroalkyl azides containing two fluorine atoms alpha to the azido group undergo a Curtius-like rearrangement through azacarbene intermediates. Thermal pyrolysis of 2-monohydroperfluoropropyl and 2-monohydroperfluoroisobutyl azides at about 200 °C gave th…
This study examines how the effective diffusion coefficient of methyl alcohol vapor in activated carbons depends on the amount adsorbed, a question relevant to intraparticle sorption kinetics and mass transfer mechanisms in porous sorbents. Sorption kinetics were measured under vacuum at 20°C for se…
This paper presents a systematic kinetic study of hydrogenolysis and hydrodesulfurization of sulfides and thiophenic sulfur compounds over an alumina cobalt molybdenum catalyst. Experimental conversion data were treated with the Frost and Kazeev equations to compare reaction parameters, activation e…
This paper treats the plane elasticity problem for a wedge with prescribed boundary stresses or displacements, formulated in terms of Muskhelishvili complex potentials. By mapping the wedge to a half-plane and applying a one-sided Laplace transform, the boundary-value problem is reduced to an integr…
This paper examines the thermodynamics of isobutylene protonation in aqueous sulfuric acid, a problem relevant to the role of carbonium ions and related complexes in acid catalysis. The authors use low-temperature spectrophotometry to measure unprotonated isobutylene directly, extrapolating kinetic …
A rapid chromatographic method is examined for measuring gas and vapor adsorption isotherms and estimating the specific surface area of adsorbents and catalysts, with the aim of avoiding the complexity and long conditioning required in vacuum techniques. The authors compare frontal and development v…
This paper examines the use of high velocity electron microdiffraction to study the internal structure of thermal soot particles, using a 400 kV electron microscope capable of obtaining diffraction patterns from regions about 500 to 600 Å in diameter. The authors compare original soot with soot anne…
This study examines an unexpected polymerization accompanying ethylene hydrogenation at atmospheric pressure over a cobalt clay catalyst at about 100°C in the presence of hydrogen. Flow experiments varied ethylene to hydrogen ratio, temperature, oxygen concentration, and carbon monoxide addition, wi…
This communication examines a resonant type of oscillation in the ultrasound absorption coefficient of metals placed in a magnetic field, distinct from previously known sinusoidal oscillations. It argues that sharp absorption maxima arise when the averaged electron displacement projected along the u…
This paper reports measurements of charged particles made with four three-electrode traps aboard the second Soviet space rocket launched toward the Moon in September 1959, with comparison to related observations from the first and third rockets. The apparatus used biased grids and collectors to dist…
This paper reports a synthetic route to phosphorus and phosphinic esters of enols from alpha-mercurated aldehydes and ketones. Because acid chlorides of pentavalent phosphorus acids did not react directly with organomercury compounds in ether, benzene, or without solvent, the authors used pyridine c…
This paper develops a general construction for describing solutions of extremal problems for real monic polynomials least deviating from zero, especially when the solution has a prescribed number of points of maximum deviation. For a polynomial and bound, the author studies the associated set where …
This paper analyzes the plane problem of acoustic diffraction by a periodically uneven and inhomogeneous surface with prescribed normal acoustic conductivity. Starting from an integral equation for surface pressure, it derives a finite-difference equation for its Fourier transform, reduces the probl…
The paper studies the first boundary-value problem for a quasilinear parabolic equation with a nonlinear term depending on the solution and with homogeneous boundary conditions. It applies the Fourier method using the eigenfunctions of an associated Sturm-Liouville problem, reducing the problem to a…
This paper investigates flame propagation during the predetonation period in rough tubes, focusing on hydrogen air mixtures and oxygen enriched mixtures in a semi-closed square channel with optically accessible walls. Using frame-by-frame photography, the authors distinguish three stages: initial la…
This paper describes closed densely defined restrictions of a self-adjoint operator with simple spectrum by reducing the problem to multiplication by the independent variable in a space \(L^2_\sigma\). It introduces an orthogonality operation on measurable functions and represents the domain of such…
