SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
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This paper derives a corrected form of the capillary condensation equation for porous bodies when adsorption layers are present, arguing that the common practice of subtracting adsorption-layer thickness from the Kelvin radius is physically incorrect. Using a reversible desorption construction and i…
In this review, which by no means claims to be exhaustive, an attempt is made to systematize information relating to methods of long-wavelength infrared spectroscopy and to apparatus recently developed abroad and in the Soviet Union for obtaining and recording spectra in the wavelength region up to …
The paper studies the plane supersonic outflow of gas from a symmetric nozzle under design conditions, restricting attention to shock-free flow and the possible periodicity of the resulting free jet. Using characteristic variables, it compares several approximate analytical representations of the Ch…
This paper compares the quantum yield and excited-state duration of chlorophyll fluorescence in solutions, leaf extracts, algal cells, and isolated chloroplast preparations to clarify the strong fluorescence quenching observed in vivo. Using an integrating sphere for relative yield measurements and …
This paper studies nonlinear oscillations with one degree of freedom governed by a second order equation whose principal restoring force depends slowly on time and whose perturbation is small. Building on earlier formulas for slowly varying amplitudes and periods, it derives an asymptotic representa…
This article reports hydrochemical observations from Kara-Bogaz-Gol during the onset of widespread halite deposition in August 1939. Brine samples collected at multiple stations and depths were analyzed to characterize composition at halite saturation, showing a total salt content of about 28.5 perc…
This paper reports observations on the coloration of barium titanate single crystals and compares the phenomenon with color-center processes known in alkali halide and silver halide crystals. Single crystals grown by a modified Mattias method were examined optically after growth, reduction, oxidatio…
This paper reports measurements of neutron yields from radon alpha-neutron sources prepared with several target materials, including beryllium, boron, carbon, calcium fluoride, magnesium, aluminum, silicon, silica, granite, and glass. Cylindrical radon-filled ampoules containing powdered targets wer…
This study examines how substituents affect the acidity of ferrocenecarboxylic acids and whether electronic influence is transmitted between the two cyclopentadienyl rings of ferrocene. A series of substituted ferrocenecarboxylic acids with alkyl, acyl, and carbomethoxy groups in the opposite ring w…
This note extends a theorem of S. M. Lozinskii on summability methods for trigonometric interpolation to expansions in ultraspherical orthogonal polynomials. For ultraspherical polynomials orthonormal on \([-1,1]\) with weight \((1-x^2)^\alpha\), \(-1/2 \leq \alpha \leq 1/2\), it proves that any mul…
This paper defines several classes of relay-contact circuits and gives constructive methods for their synthesis using auxiliary relays and contact networks. It first treats contact circuits with finite memory, representing previous conductivity states by binary auxiliary variables and realizing both…
This study examines anhydrous magnesium sulfate as a vapor phase catalyst for the dehydration of secondary alcohols, using cyclohexanol, cyclopentanol, propan-2-ol, and pentan-2-ol as substrates. Flow reactor experiments varying temperature, space velocity, and catalyst operating time show that dehy…
This study examines the preparation and reduction of ferrocene carboxylic acid derivatives as routes to substituted ferrocenes. Ferrocene was metalated with phenylsodium and carboxylated to give ferrocenedicarboxylic acid, while lithium aluminum hydride reductions of methyl ferrocenecarboxylates and…
Viscosity and electrical resistivity measurements were used to examine short-range structural features in liquid alloys of several binary systems, including Cd-Sb, Cd-Cu, Pb-Tl, Bi-Tl, Sb-Sn, and Fe-Ni. A combined torsional-oscillation and rotating-magnetic-field apparatus allowed both properties to…
This note extends the theory of strictly Markov processes from the time-homogeneous case to nonhomogeneous processes. It formulates two definitions of the strict, or strong, Markov property using stopping times independent of the future and corresponding measurability conditions on transition probab…
This paper presents an approximate method for computing eigenvalues of the Sturm-Liouville problem with Dirichlet boundary conditions by using regularized trace identities for positive powers of the differential operator. The potential is replaced by a finite cosine expansion, and asymptotic coeffic…
This paper studies a singular integral equation with a contour integral whose kernel depends on the squared distance along a sufficiently smooth closed curve and on time. The solution is expanded in Fourier series along the contour, reducing the problem to associated equations for Fourier coefficien…
The paper studies the nomographability of equations of the form z = phi(x,y) through differential invariants associated with the operators m and its adjoint counterpart. It reformulates the Gronwall differential equations using the principal part of the Gronwall function, its complement, and two adj…
This study constructs a recrystallization diagram for cold-deformed iodide zirconium of about 99.7 percent purity, addressing the relation between deformation, annealing temperature, grain size, and hardness. Zirconium samples were cold rolled to reductions from 2.5 to 90 percent, annealed for one h…
This paper investigates the synthesis and behavior of several organosilicon beta-alcohols, beta-hydroxyalkyltrimethylsilanes, whose stability toward beta-cleavage and dehydration had been regarded as limited. The authors prepared four alcohols by reacting trimethylsilylmethylmagnesium chloride with …
This paper studies representations of analytic function classes that form Hilbert spaces with reproducing kernels. It first describes kernels associated with isometric mappings between such spaces and derives a generalization of Aronszajn’s embedding theorem, yielding integral representations and mi…
This paper reports the application of organomagnesium synthesis to the preparation of carbon substituted derivatives of l-arabinose, extending a method previously used for other monosaccharides. Beta chlorotriacetyl l-arabinose was reacted with various Grignard reagents to obtain phenyl, anisyl, nap…
This study examines the kinetics and mechanism of homogeneous graphitization of cracking and pyrolysis petroleum cokes under isothermal treatment from 2000 to 2800 degrees Celsius. Using X-ray diffraction, the authors track the sharpening of graphite reflections, the decrease of interplanar spacing …
This paper reports observations of a dendritic cracking phenomenon in polymethyl methacrylate organic glass exposed to fast electron irradiation. Experiments on Plexiglas specimens identify conditions governing crack initiation and growth, including the need for preexisting or introduced defects, co…
This paper studies the scattering problem for the Schrödinger equation in three-dimensional Euclidean space when the potential has singularities. Using the resolvent kernel of a self-adjoint extension of the operator, it establishes existence and uniqueness results under decay and local growth assum…
The study examines the catalytic dealkylation of alkylbenzenes and selected derivatives over a single industrial aluminosilicate catalyst under comparable flow conditions. Eleven compounds, including ethylbenzene, propylbenzene and butylbenzene isomers, cymenes, and chlorocumenes, were tested at var…
This note gives sufficient conditions for uniqueness in the inverse problem for the logarithmic potential of plane domains with positive mass density. It proves that two distinct convex domains whose boundaries lie in a specified circular annulus cannot have identical exterior logarithmic potentials…
This study examines the structural ambiguity of benzhydroxamic acids and the alpha and beta crystalline forms of tribenzhydroxylamine. The authors investigate interconversion behavior, cryoscopic melting point depression by the Sidgwick method, dipole moments in dilute solution, and infrared absorpt…
This paper examines approximate invariance in linear combined automatic control systems, where the controlled coordinate is made independent of disturbances only up to a prescribed accuracy. It derives relations between the response under ordinary deviation control and under combined deviation and d…
This note examines how the mathematical type of plane plasticity equations depends on the form of the plasticity condition in plane strain and plane stress. Writing the condition as a relation between stress invariants, the author derives the characteristic condition for the equilibrium equations an…
Astronomers who are not engaged in time service, and scientists working in other branches of science who are occupied with their own affairs, pay little attention to the issue under consideration. Thus, it is the direct duty of the few astronomers who know something about time and frequency standard…
This note studies nonlinear superposition and integral operators in Orlicz spaces, together with differentiability properties of Orlicz norms. It gives sufficient conditions, expressed through complementary Young functions and growth conditions such as Delta-type assumptions, for Fréchet differentia…
The paper studies analytic solutions near the origin for a third-order partial differential equation in three independent variables with homogeneous boundary conditions on the coordinate planes. Extending Günter’s finite-difference method, it derives recurrence relations for the Taylor coefficients …
This note studies closed ideals in the convolution normed ring of functions on the real line with exponential weight, focusing on ideals whose Fourier-transform hull is finite in the strip determined by the weight. It introduces asymptotic invariants of Fourier transforms and uses them to describe p…
This paper examines geothermal anomalies in the Donets Basin, focusing on the Petropavlovsk-Mezhevaya area, where borehole measurements show elevated geothermal gradients and raised geoisothermal surfaces in the central part of the anomaly. The author argues that surface relief and monoclinal tecton…
Expanded presentation of a report delivered on November 30, 1955, at a session of the Department of Physical and Mathematical Sciences of the Academy of Sciences of the USSR.
From June 20 to 25, 1955, the fourth conference on luminescence was held in Minsk, convened by the Academy of Sciences of the BSSR, the P. N. Lebedev Physical Institute of the Academy of Sciences of the USSR, and the S. I. Vavilov State Optical Institute.
The Division of Physical and Mathematical Sciences of the USSR Academy of Sciences, the Commission on Magnetism of the USSR Academy of Sciences at the Ural Branch, and Lomonosov Moscow State University held a conference on the physics of magnetic phenomena in Moscow from May 23 to 31 of this year.
A number of results of experimental studies of audio-frequency electromagnetic waves, obtained in particular from studies of atmospherics, are presented below. The methodology of the corresponding experiments is briefly described, and the general properties of low-frequency electromagnetic waves fol…
This review is devoted to presenting the most important works on the application of radioactive isotopes to the study of building materials and construction mechanisms, the inspection of metal structures, ventilation and heating systems, as well as several other issues related to the tasks of the co…
This review examines works published over the past 5–6 years on the use of an electro-optical converter as a high-speed shutter and for obtaining electro-optical scanning, and, by way of illustration, presents the results of several studies carried out using these new and highly effective methods of…
