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This study examines the crystal structures and polymorphism of naphthazarin, focusing on an X-ray structural analysis of the dark-green needle modification. The authors report unit-cell parameters and space groups for three modifications obtained by crystallization or sublimation, then use Patterson…
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This paper develops a finite-temperature thermodynamic treatment of superconductors using the Fröhlich Hamiltonian with the electron-phonon interaction retained explicitly. Applying Bogolyubov canonical transformations and thermodynamic perturbation theory, it introduces renormalized fermion and pho…
M. F. Shostakovskii, A. V. Bogdanova, T. M. Ushakova
This study examines the participation of thiovinyl ethers in diene synthesis with cyclopentadiene and hexachlorocyclopentadiene, focusing on vinylethyl sulfide and vinylphenyl sulfide. Through thermal reactions in autoclaves or reflux apparatus followed by fractionation and elemental characterizatio…
I. P. IVANENKO
The paper studies the angular distribution of electrons in cascade showers at shower maximum, a problem previously treated mainly in small-angle and infinite-primary-energy approximations. Using transport equations with multiple scattering and including ionization losses, it derives Fourier-Bessel a…
V. N. KESSENIKH
This paper examines whether slow neutrons in the ionospheric F2 layer could contribute to residual nighttime ionization through beta decay, and considers how their concentration might be measured directly. Using order of magnitude estimates, it relates a neutron concentration near 1 per cubic centim…
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This note studies the relationship between integral equations of convolution type on the real line and singular integral equations with a Cauchy kernel. It introduces weighted function classes for the unknown function, kernels, and right hand side, then uses Fourier transforms and analytic continuat…
V. L. INDENBOM and G. E. TOMILOVSKII
This paper examines whether slip lines in crystals can be understood as arrays of ordinary edge dislocations rather than as effects of microcrack opening and closing. The authors derive the stress and birefringence fields for a periodic row of edge dislocations in a slip plane, predict the correspon…
M. I. Vishik, L. A. Lyusternik
This paper studies boundary-layer asymptotics for solutions of first boundary-value problems for elliptic partial differential equations of arbitrary even order when the boundary data oscillate rapidly. Using local boundary coordinates, a rescaling normal to the boundary, and an iterative expansion …
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This paper analyzes thermoelastic stresses in a closed spherical shell subjected to a known nonuniform, spherically symmetric temperature field, allowing the Lamé coefficients, thermal expansion, and relaxation kernels to depend on temperature and time. Using generalized Volterra constitutive relati…
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This paper extends the Zemplen theorem to shock type discontinuities in ideal magnetohydrodynamics for media of infinite conductivity and negligible dissipation. Starting from the magnetohydrodynamic jump conditions, it eliminates the tangential magnetic field to analyze the associated Hugoniot curv…
G. E. KUZMAK
The paper develops asymptotic solutions for a nonlinear one degree of freedom oscillatory system with slowly varying parameters and weak dissipation, over time intervals of order 1 divided by the small parameter. Using the method of standard equations, the solution is represented through a periodic …
Yu. SMIRNOV
Smirnov generalizes Dowker’s example of a normal space with small inductive dimension zero but larger covering dimension. The paper studies convergent subsets of the product of the space of countable ordinals with a separable metric space, proving that such subsets are normal, countably paracompact,…
D. O. MOKHNACH
This paper generalizes a model for the apparent density distribution in a comet head produced by constant isotropic molecular emission. By rotating the cometocentric coordinate system and integrating the spatial density along an arbitrary line of sight, it shows that the stationary apparent density …
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This paper examines the scale effect in ice, whereby larger specimens show lower calculated flexural strength than smaller ones, and argues that existing explanations do not adequately match experiment. It proposes a fracture model in which failure begins at the weakest defect in the extreme tensile…
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The paper derives an expansion formula for arbitrary functions in \(L_2\) in terms of fundamental functions associated with a class of parameter-dependent boundary-value problems for linear partial differential equations. The class considered permits partial separation of variables, reducing the ana…
E. SKLYARENKO
The paper studies bicompact extensions of semibicompact Hausdorff spaces, focusing on when the remainder of an extension is zero-dimensional. Using special bases of open sets with bicompact boundaries and methods from proximity space theory, it constructs compatible proximities and the corresponding…
F. I. Skripov
This paper proposes and demonstrates a nuclear resonance generator for continuous observation of nuclear precession in the Earth’s magnetic field, addressing the limited duration of free induction signals in existing weak-field magnetometric methods. The device uses flowing water that is first magne…
An. N. Nesmeyanov and De Dyk Man
This paper reports measurements of the vapor pressures of cobalt and nickel, motivated by discrepancies among earlier Langmuir and effusion determinations and by the absence of reliable Langmuir coefficients. Using an integral effusion method with molybdenum chambers and varied orifice areas, the au…
V. N. GREBENSHCHIKOV
This paper proposes an algebraic procedure for synthesizing general multiterminal contact circuits from prescribed Boolean conductivities between terminal pairs. The method is based on successive extraction of external contacts, classified as longitudinal, transverse, or longitudinal-transverse, wit…
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A 90-degree mass spectrometer with an ion source allowing separate or simultaneous electron and photon ionization was used to study photoionization and photodissociation of ammonia, hydrazine, aniline, and benzylamine vapors under vacuum ultraviolet irradiation from a hydrogen lamp. The photoionizat…
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This note extends the Weyl and Vishik projection method for elliptic boundary value problems from Hilbert space settings to \(L_p\) and Sobolev spaces in a smooth bounded domain. Using the Calderón and Zygmund boundedness theorem for singular integral operators, it formulates generalized Dirichlet a…
I. R. Krichevskii, G. F. Ivanovskii, and E. K. Safronov
This paper reports a systematic study of the solubility of purified silicon tetraiodide in nonaqueous solvents relevant to recrystallization during high-purity silicon production. Solubilities were measured by Alekseev’s sealed-ampoule method under dry nitrogen in benzene, toluene, xylene, cyclohexa…
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This paper extends Tatevskii’s bond type and subtype approach from hydrocarbons to substituted paraffin derivatives of the general formula CnH2n+2-mXm, where X is a monovalent substituent. It develops a calculation scheme in which physicochemical properties are expressed through the numbers of carbo…
N. S. Andreev, E. A. Porai-Koshits
This study examines whether sodium borosilicate glasses possess a chemically heterogeneous structure rather than a homogeneous random network. The authors apply small-angle X-ray scattering to polished unleached glass plates of composition 7 mol percent sodium oxide, 23 mol percent boron oxide, and …
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The crystal structure of astrakhanite, Na2Mg(SO4)2·4H2O, was determined from X-ray rotation and goniometric data using direct statistical methods for phase determination and Fourier syntheses of several projections. The monoclinic cell was confirmed as a = 11.03 Å, b = 8.14 Å, c = 5.49 Å, beta = 100…
I. V. GOSTUNSKAYA, N. I. GUSAR, A. I. LEONOVA, and B. A. KAZANSKII
The study examines how conjugated diene hydrocarbons are reduced by hydrogen generated in situ and whether metal amides formed during reduction alter product distributions through secondary double-bond isomerization. Diisopropenyl and diisocrotyl were reduced using calcium hexammine, sodium in liqui…
E. K. Gerling and L. K. Levsky
This study examines cosmogenic inert gases in the Sikhote-Alin iron meteorite, focusing on isotope abundances of helium, neon, and argon in individual shower specimens and as a function of depth in a large sample. The authors extracted gases by melting drilled core layers and other samples under vac…
N. MEIMAN
This paper extends the principle of monotonicity of the argument, previously used to differentiate majorization inequalities, from single-valued analytic functions to multivalued functions on the universal covering surface of a plane cut along intervals of the real axis. It defines an admissible cla…
G. N. MAL’NOVA, E. P. MIKHEEV, A. L. KLEBANSKII, and N. P. FILIMONOVA
The study examines the catalytic arylation of methyl- and ethyldichlorosilanes with chlorobenzene and fluorobenzene to form alkylhalophenyldichlorosilanes. Reactions were carried out in stainless-steel autoclaves using boric acid, which forms soluble silicon, oxygen, boron-containing catalytic speci…
B. V. MEDVEDEV and M. K. POLIVANOV
The paper develops a classical field-theoretic analogy for the use of an indefinite metric in quantum field theory. It considers a physical complex field coupled to auxiliary fictitious fields, some with negative energy, and analyzes conditions under which these fields do not exchange dynamical quan…
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This note studies the Cauchy problem for first order systems of linear partial differential equations with analytic coefficients and analytic initial data, focusing on convergence of a simple finite difference approximation. By extending the variables to a complex domain and using Cauchy estimates t…
Unknown
This paper reassesses the Cepheid period luminosity relation in light of Baade’s revised zero point and Sandage’s report that Cepheids of a given period occupy a luminosity band rather than a narrow curve. Using the author’s theory of stellar variability, especially the nonadiabaticity parameter of …
N. N. TIKHOMIROVA, B. V. LUKIN, L. L. RAZUMOVA
This study examines structural changes and free-radical states formed during carbonization of polyvinyl chloride and polyvinylidene chloride between 350 and 700 °C. Electron paramagnetic resonance was used to measure signal widths and infer the localization and interactions of unpaired electrons, wh…
V. G. Khriptun
This paper extends M. K. Fage’s theory of functions analytic with respect to an ordinary differential operator to functions of two variables analytic with respect to a second order hyperbolic operator. It defines infinite differentiability and analyticity relative to the operator, constructs inverse…
Unknown
This paper examines donor-acceptor molecular complexes formed by 9-(p-dimethylaminostyryl)acridine and 10-ethyl-9-(beta-carbomethoxyethyl)acridinium iodide, with attention to bathochromic shifts arising without a continuous intramolecular conjugated chain. Absorption spectra in ethanol and chlorofor…
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This note studies sets in metric spaces that are effectively distinct from all sets generated by a given delta s operation. It introduces the notion of one delta s operation embracing another and proves that effective distinction from all sets of the embracing operation implies effective distinction…
G. V. SAMSONOV, V. P. DZEGANOVSKII, and I. A. SEMASHKO
Europium hexaboride, previously unsynthesized among the rare-earth hexaborides, was prepared by borocarbide reduction of europium oxide in vacuum at 1650°C. Powder X-ray diffraction showed that the product corresponds to EuB6 and has the cubic hexaboride structure with lattice parameter 4.167 ± 0.00…
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This paper relates proton nuclear magnetic resonance chemical shifts in organic compounds to magnetochemical estimates of atomic and group susceptibilities. Using a reconstructed magnetochemical scheme, it calculates the local fields produced at protons by induced diamagnetic moments of neighboring …
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G. S. Vozdvizhenskii, G. A. Gorbachuk, G. P. Dezideriev
Corresponding Member of the Academy of Sciences of the USSR O. A. REUTOV, O. A. PTITSYNA
This study examines the decomposition of unsymmetrical diaryliodonium chlorides by bismuth powder in the presence of bismuth trichloride as a route to organobismuth compounds. The authors prepared several unsymmetrical iodonium salts and decomposed them in acetone, followed by ammonia treatment to c…
V. A. Geiderikh, Ya. I. Gerasimov, and A. A. Vecher
The study determines the thermodynamic quantities for formation of the higher iron antimonide, FeSb2, from solid iron and antimony. Electromotive force measurements were made for cells containing FeSb2 and antimony alloys in the heterogeneous region of the Fe-Sb phase diagram over 410 to 610 degrees…
Unknown
This paper studies how boundary smoothness and integrability properties are inherited by harmonic functions solving the Dirichlet and Neumann problems in a bounded three-dimensional domain with sufficiently smooth boundary. Using potential-theoretic methods, it extends earlier Hölder-type results of…
K. P. STANYUKOVICH
This paper analyzes stationary adiabatic relativistic flows with one-dimensional, cylindrical, or spherical symmetry. Starting from the relativistic continuity and Bernoulli equations, it derives general relations for velocity, heat content, and radius, showing that the physical flow is defined outs…
E. M. MINSKII
This paper develops a statistical justification for equations describing filtration motion in porous media, treating observed filtration velocity as a cross-sectional average over many local pore-scale liquid jets. By averaging local Navier-Stokes motion and using a pore-size distribution, it derive…
Unknown
The paper develops improved estimates for Weyl sums associated with polynomials of degree \(n+1\), using a fundamental lemma based on Hölder’s inequality, solution counts for systems of power equations, and Vinogradov-type mean value estimates. It proves bounds for arbitrary Weyl sums when the leadi…
I. V. SUKHAREVSKII
This paper studies stability, with respect to a complex parameter, of solutions to linear operator equations in a Banach space for analytic families of completely continuous operators. It defines stability points through strong convergence of regular resolvent solutions to a solution at a spectral p…
N. V. KALASHNIKOV and V. I. CHERNIKIN
This study examines heat transfer from vertically vibrating horizontal cylindrical heaters to viscous liquids, where ordinary free convection gives low heating rates. Experiments with fuel oil, lubricating oils, and an oil, kerosene mixture varied vibration amplitude, frequency, and root-mean-square…
A. P. Zhdanov, A. L. Kartuzhanskii, I. V. Ryzhkova, and L. I. Shur
This study investigates how triethanolamine affects the sensitivity of photographic emulsions to light and ionizing radiation, with the aim of clarifying the mechanism behind its known sensitizing action in nuclear emulsions. Seven emulsions were treated with varying concentrations of triethanolamin…
Unknown
This study examines how ionizing radiation affects atmospheric corrosion of metals under high humidity, addressing a subject previously little investigated. Experiments in closed glass vessels at 98 percent relative humidity used electron, X-ray, and cobalt-60 radiation sources to compare corrosion …