P. P. Shorygin and Z. S. Egorova
This study examines how para substituents influence the vibrational, optical, and dipole moment properties of nitrobenzene derivatives. Raman spectra, ultraviolet absorption spectra, and literature dipole moment data are compared for a series of compounds with substituents of differing electronic ch…
I. I. EREMIN
This paper addresses whether groups in which every abelian subgroup has only finitely many conjugates form a broader class than groups in which every subgroup has this property. Building on Neumann’s characterization of groups with finitely many conjugates of every subgroup, the argument reduces the…
Academician A. V. TOPCHIEV, I. A. MUSAEV, Z. Kh. ISKHAKOVA,
This study examines the unsaturated hydrocarbons in the 60 to 150°C fraction of thermal cracking gasoline produced from Grozny paraffinic crude oil. The olefinic portion was separated chromatographically, distilled into narrow fractions, and analyzed using sulfuric acid treatment, hydrogenation and …
Consider the equation
The paper studies high-frequency asymptotics for eigenfunctions of the Helmholtz equation with Dirichlet boundary conditions in domains bounded by equidistant curves, including closed, finite, and infinite waveguide geometries. Using normal coordinates based on one boundary curve and a variational r…
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The paper develops an asymptotic method for boundary value problems for quasilinear differential equations with a small parameter multiplying the highest derivative, using a second order ordinary equation as the principal example. Under positivity and smoothness assumptions and within a suitably def…
V. A. SVEKLO
This paper develops an approximate theory for the impact of arbitrary cylindrical elastic bodies when their initial contact has order greater than one, extending earlier work on equal circular cylinders. The analysis combines a static contact pressure distribution with a dynamic treatment of displac…
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The study examines how inorganic and organic cations affect the electroreduction of the PtCl4 double charged anion at a dropping mercury electrode, with attention to inhibition caused by electrostatic repulsion at negatively charged surfaces. Polarization measurements show that alkali metal cations …
B. Ya. GELCHINSKII
This note treats the reflection and refraction of nonstationary elastic waves of arbitrary form at a smooth curvilinear interface between two isotropic elastic media, within the zeroth approximation of the ray method. Expanding the incident, reflected, and refracted fields near their wave fronts and…
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This note studies how the intrinsic smoothness of the metric of a convex surface in a space of constant curvature determines the smoothness of its extrinsic realization. It states that if the surface metric is k times differentiable, with k at least 4, and its Gaussian curvature is positive and grea…
R. G. Annaev
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This study examines internal conversion spectra of neutron deficient terbium isotopes produced by irradiating tantalum with 660 MeV protons. Time dependent measurements of conversion electron peaks and positron spectra were used to separate activities with half lives from hours to days and to assign…
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A method is developed for interpreting Langmuir probe characteristics when the electron velocity distribution in a gas discharge follows the Druyvesteyn-Davydov form rather than a Maxwellian distribution. Starting from the probe current expression for an isotropic distribution, the paper derives an …
N. N. BOGOLYUBOV
This paper examines the condition for superfluidity in a model of nuclear matter whose Hamiltonian retains interactions between pairs of particles with opposite momenta. Using a Bogolyubov canonical transformation and a variational treatment of the ground-state energy, it shows that the model ground…
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This note strengthens Jackson-type theorems on approximation of continuous functions by algebraic polynomials, refining earlier results of Nikol’skii and Timan. It introduces estimates in terms of the second modulus of smoothness of the r-th derivative and proves that, for a function with continuous…
G. V. Kolchina
Corresponding Member of the Academy of Sciences of the USSR D. N. KURSANOV, M. E. VOL’PIN
This paper examines the reactivity of tropylium salts toward vinyl ethers and beta-chloromercuriacetaldehyde, extending known nucleophilic reactions of the aromatic cycloheptatrienyl cation. Experiments show that tropylium bromide and perchlorate react readily with simple vinyl alkyl ethers in aqueo…
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This paper examines plane shock discontinuities in media whose internal energy depends on specific volume and entropy, allowing an arbitrary equation of state in which the sign of the isentropic second derivative of pressure with respect to volume may change. Using the conservation laws, entropy con…
L. M. KOVBA, E. A. IPPOLITOVA, Yu. P. SIMANOV
This study investigates the crystal structures of alkali-element uranates and diuranates, for which detailed structural data were previously limited or unavailable. Single-crystal and powder X-ray methods, including Laue, rotation, and Debye techniques, were used to determine lattice parameters, spa…
V. TSELLNER
This paper derives dispersion relations for pion production in the process pi plus nucleon to two pions plus nucleon, under a specified symmetric kinematic configuration with equal emitted pion energies. Using retarded and advanced amplitudes constrained by causality, the analysis assumes analyticit…
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This paper investigates the vertical distribution of hydrogen peroxide vapor above aqueous hydrogen peroxide solutions, motivated by earlier observations of exponentially decreasing photographically active particles near corroding metals. Using inclined photographic plates exposed above solutions, t…
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This note studies uniqueness in the inverse problem of potential theory for determining the shape of attracting bodies from their exterior potentials. Extending methods of Novikov and Sretenskii, it proves that two bounded bodies of the same constant density with piecewise smooth boundaries must coi…
A. F. ZOLIN
This note presents an approximate method for the principal boundary value problem for the polyharmonic equation in a simply connected plane domain with piecewise smooth boundary. The boundary conditions are reformulated in terms of iterated Laplacians and normal derivatives, and approximate solution…
D. D. IVLEV
The paper derives a particular solution of the general equations of ideal plasticity in cylindrical coordinates under the Mises yield condition. Assuming axial symmetry, prescribed radial temperature dependence, temperature dependent expansion and yield limit, selected body forces, and a specified f…
A. M. RUBINSHTEIN and V. I. YAKERSON
This study examines the thermal decomposition kinetics of alkaline earth metal acetates in relation to vapor phase catalytic ketonization of acetic acid. Thermodynamic calculations and thermogravimetric experiments were used to estimate decomposition conditions for magnesium, calcium, strontium, and…
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This paper develops the acoustic part of a theory of the ultrasonic interferometer for monatomic gases in regimes where the usual hydrodynamic approximation is not applicable. It formulates and solves a linear one-dimensional boundary-value problem in generalized hydrodynamics for a gas between two …
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This paper examines the origin of the weak acidic properties of 3-acylpyrazoles, considering whether salt formation involves an O-metal tautomeric form with disruption of pyrazole aromaticity or deprotonation at nitrogen induced by the electron-acceptor effect of the acyl group. The authors use infr…
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This paper reports Raman scattering measurements on crystalline complexes of antimony trichloride with naphthalene and diphenyl ether, with comparison to the spectra of the separate components and to earlier data on related complexes. The spectra show intensity redistribution, frequency shifts, spli…
Yu. N. MOLIN, A. T. KORITSKII, N. Ya. BUBEN
This paper reports an experimental study of free radicals formed in solid substances under irradiation by fast electrons, using electron paramagnetic resonance recorded directly during irradiation. The authors describe an apparatus combining an EPR spectrometer with a high-voltage electron accelerat…
R. Kh. Zaripov
This note studies systems of complete singular integral equations of convolution type with matrix kernels and completely continuous perturbations, extending earlier work on scalar equations and characteristic systems. Using Fourier transforms, matrix methods, and boundary value problems for analytic…
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The paper addresses Levitzki’s problem for the class of associative rings with a strictly supporting monomial, a class introduced by Drazin that includes rings satisfying polynomial identities and rings with the minimal condition for right ideals. It proves a technical lemma on powers of ideals gene…
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This paper investigates the contribution of inelastically reflected and scattered primary electrons to slow secondary electron emission from metals, and estimates the escape depth of slow secondary electrons. Using spherical-condenser measurements of total and reflected emission from thin evaporated…
N. A. POTAPKOV
This paper develops a spin-wave treatment of magnetic anisotropy in ferromagnetic single crystals with hexagonal symmetry, extending Dyson’s method for interacting spin waves to an anisotropic exchange Hamiltonian. The analysis formulates the partition function in terms of spin-wave states, separate…
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The paper studies boundary behavior of harmonic and differentiable functions in spatial domains with angular points, especially cones and rectangular boxes. Using spherical logarithmic coordinates, Fourier series and Fourier integral representations with conical functions are derived for harmonic fu…
S. A. Reitlinger, A. S. Kuzminskii, and L. S. Feldshtein
This study examines how spatial cross-linking affects nitrogen permeability in polybutadiene and seeks to distinguish the effects of covalent network bonds from those of sulfur-containing polar groups and intermolecular forces. Polybutadiene networks were produced by heating, cobalt-60 irradiation, …
A. N. NESMEYANOV, A. E. BORISOV, and N. V. NOVIKOVA
This study examines whether the cis and trans configurations of the propenyl radical are preserved during metal exchange reactions at olefinic carbon. Starting from stereoisomeric 1-bromo-1-propenes, the authors prepared corresponding propenyllithium compounds and converted them at low temperatures …
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This paper examines how diffusion processes can govern bimolecular reaction kinetics in solutions even when the observed reaction rate is weakly dependent on solvent viscosity. Using acridine orange in alcohol, glycerol, and water, glycerol solutions, the authors measure phosphorescence decay and re…
The equations of hydrodynamics for our case have the form: the Euler equations
This note classifies nonstationary plane adiabatic flows of a polytropic gas whose characteristics are rectilinear, interpreted as common level lines of the velocity components and sound speed in space-time. The Euler and continuity equations are transformed to characteristic parameters, producing a…
I. I. Ioffe and F. F. Vol’kenshtein
This paper proposes a theoretical explanation for why vapor-phase oxidation of aromatic hydrocarbons follows different directions on different semiconductor oxide catalysts, using benzene oxidation as the main example. Interpreting known product patterns through the electronic theory of catalysis, i…
V. F. NIKOLAEV
This paper studies linear trigonometric polynomial operations between normed spaces of periodic summable functions satisfying translation invariance and density of trigonometric polynomials. It establishes a fundamental integral formula relating any such operation of order n to its action on the nth…
N. P. BOGACHEV, S. A. BUNYATOV, Yu. P. MEREKOV, and V. M. SIDOROV
This paper reports an emulsion chamber study of interactions of 9 BeV protons with free and quasifree nucleons in photographic emulsion. From 1308 recorded nuclear interactions, events consistent with proton-proton and proton-neutron collisions were selected using prong number, absence of evaporatio…
L. G. Mikhailov
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The paper studies uniqueness for generalized, possibly discontinuous, solutions of the Cauchy problem for conservative quasilinear equations. It introduces potentials defined by integral conservation relations and shows that the Cauchy problem for generalized solutions can be reduced to a Cauchy pro…
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This paper investigates how different classes of hydrocarbon autoxidation inhibitors interact with alkyl and peroxide radicals during liquid-phase oxidation of white oil. Using acetyl peroxide or tetraethyllead as sources of alkyl radicals and cumene hydroperoxide with cobalt naphthenate as a source…
N. A. KLEIMENOV and A. B. NALBANDYAN
This study examines how small additions of ozone initiate low-temperature oxidation of saturated gaseous hydrocarbons, addressing whether ozone reacts directly with fuel or acts through species formed during its decomposition. Flow experiments on hydrogen and propane oxidation by ozonized oxygen sho…
The reaction proceeds in two stages according to the following scheme:
This paper presents a modified synthesis of N-methylimide of citraconic acid intended to reduce resinification observed in earlier two-stage preparations through the intermediate amido acid. The authors argue that resin formation is associated with isomerization of citraconic acid derivatives to ita…
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This study examines the catalytic synthesis of ethanol from carbon dioxide and hydrogen under pressure, a reaction that otherwise tends to yield methane, carbon monoxide, or methanol depending on conditions. A range of iron, cobalt, and nickel catalysts was tested in high-pressure flow and recircula…
V. E. BRAVINA
This paper extends the Onsager and Samaras theory of the surface tension of strong electrolyte solutions by treating multivalent asymmetric electrolytes and by accounting for a finite dielectric constant of the external medium in uni-univalent solutions. Using Debye-Hückel theory, image-force adsorp…
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This paper proposes a unified interpretation of several classes of pulsational stellar variability through linear calculations of nonadiabatic oscillations in multilayer spherical models of stellar envelopes. It argues that the observed phase relations between luminosity variations and radius variat…
N. V. ALEKSEEV and Ya. I. GERASIMOV
The study examines the structure of liquid bismuth, tin, and Bi-Sn alloys using high-temperature electron diffraction and radial distribution analysis. Thin metal films reinforced with quartz layers were prepared, diffraction intensities were normalized, and radial distribution functions were calcul…