A. I. BURshTEIN, Yu. I. NABERUKHIN
This paper examines how the finite proper volume of molecules affects theoretical calculations of collisional broadening of spectral lines in gases. The authors compare the usual point-molecule treatment with models that impose a short-range cutoff, showing that neglecting molecular size leads to di…
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This paper studies nonautonomous differential equations in a separable locally convex space and addresses a hypothesis of V. V. Nemytskii concerning recurrent and almost periodic behavior after enlarging the set of solutions by limit trajectories. The author defines this enlargement using closures o…
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This paper studies Uryson integral operators with Carathéodory kernels acting between Lebesgue spaces, focusing on criteria for continuity and complete continuity. It introduces and uses a notion of regularity for nonlinear integral operators, showing that regular Uryson operators from Lp to Lq with…
L. N. KURBATOV, A. N. KABANOV, V. V. SIGRYANSKY, V. E. MASHCHENKO,
This paper reports the generation of coherent radiation in homogeneous n-type and p-type gallium arsenide samples excited by pulsed electron bombardment. The authors compare the inversion conditions in GaAs with those in narrower-gap semiconductors, argue that the relevant electron-gas temperature m…
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The paper studies necessary and sufficient conditions for an absolute minimum of an integral functional with boundary terms, subject to a system of first-order partial differential constraints and admissible state-control pairs. Using auxiliary functions, Ostrogradsky’s formula, and needle variation…
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This paper studies dynamical systems of the first degree of non-structural stability on the torus, extending earlier results for the plane and cylinder and highlighting features specific to surfaces of positive genus. Using a rotation of the vector field by a parameter and an analysis of lifted traj…
V. V. Kostin, T. M. Murina, Corresponding Member of the Academy of Sciences of the USSR A. M. Prokhorov,
This paper reports experimental studies of a solid-state optical quantum generator based on calcium fluoride crystals containing divalent dysprosium ions produced by gamma irradiation of Dy-doped CaF2. The authors examine absorption and luminescence spectra, pulsed lasing thresholds for crystals of …
The following principal results are obtained in the paper:
This paper studies periodic linear groups over arbitrary fields and their connections with algebraic and Lie groups. It proves conjugacy of Sylow subgroups and a Schur Zassenhaus type theorem for periodic linear groups, gives examples of infinite simple locally finite linear groups, and completes th…
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This paper studies commutative symmetric algebras of bounded operators in a Pontryagin space of finite negative index and seeks their classification up to equivalence. It analyzes eigenfunctionals and root lineals, separates the contribution of nonreal eigenfunctionals, and constructs invariant prin…
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This paper investigates how external electric fields, steady illumination, photochemical surface changes, adsorbed molecules, and dye adsorption affect capacitor photo-emf spectra in TlJ, AgBr, and ZnO semiconductor layers. Measurements on vacuum capacitor cells show that spectral changes and polari…
T. D. Takenov, V. F. Balakirev, G. I. Chufarov
This paper examines the thermodynamic behavior of the MnO, FeO solid solution, addressing conflicting earlier conclusions about whether the system behaves ideally. Using equilibrium gas phase compositions for hydrogen reduction at 900, 1000, and 1100 °C, the authors calculate component activities wi…
K. I. SURKOVA, E. M. SAVITSKAYA, B. P. BRUNS
This study examines the acidity function and catalytic activity of hydrogen counterions in strongly acidic sulfopolystyrene cation exchangers, comparing them with hydrogen ions in sulfuric acid solutions. The authors develop a spectrophotometric adaptation of the Hammett indicator method using nitro…
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The paper studies boundary value problems for elliptic equations of arbitrary even order in a cylindrical domain whose height is a small parameter. Extending earlier results for second order equations, it constructs an asymptotic expansion of the solution by combining an interior iterative expansion…
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This study examines relaxation phenomena in crystalline polycaproamide samples with similar spherulitic structure but different degrees of crystallization, prepared by pressing and, for one series, additional heat treatment. Thermomechanical measurements over a range of temperatures and force freque…
and K. I. MAGOMEDOV
This study examines the isomerization of tertiary beta-acetylenic alcohols bearing ferrocenyl and cyclopentadienylmanganese tricarbonyl substituents. The alcohols were prepared by Grignard reaction and converted under mercury sulfate, acid, or dehydration conditions to the corresponding conjugated e…
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The paper proves undecidability results for restricted classes of formulas in constructive and minimal predicate calculi, focusing on formulas of the form double negation followed by universal and existential quantifier blocks with a quantifier-free matrix. It reduces the compatibility problem for s…
A. G. RAZINA, L. A. ANUFRIEVA
This paper examines the role of soluble organoaluminum compounds in the stereospecific polymerization of isoprene using a titanium tetrachloride and triisobutylaluminum complex catalyst. Through washing, reactivation, impurity, and vacuum experiments, the authors compare catalyst activity after remo…
I. M. Podgornyi, G. V. Sholin
This paper examines limitations in determining electron temperature from the intensity ratio of neutral helium lines, especially the 4713 Å and 4922 Å lines commonly used in plasma diagnostics. The authors analyze how electron collisions at increasing plasma density produce transitions among helium …
M. A. BUKHBINDER
This paper derives a probability distribution for the specific surface area of pores in an isotropic porous medium, treating it as the ratio of pore surface area to pore volume within small regions. Using random secants through the medium, the author expresses local specific surface area in terms of…
E. A. Ivanov, S. F. Il’yukevich
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This paper analyzes an analogue of thermal explosion in steady laminar flow of a chemically inert viscous incompressible liquid through a circular tube, arising from viscous energy dissipation when viscosity depends strongly on temperature. The governing hydrodynamic and heat conduction equations ar…
R. N. Smirnov, Corresponding Member of the Academy of Sciences of the USSR, N. M. Karavaev
This article reassesses the prevailing view that the conjugated bond systems in humic coals are fundamentally aromatic. By comparing evidence from coalification, oxidation products, halogenation and sulfonation behavior, magnetic susceptibility, infrared and ultraviolet spectra, optical anisotropy, …
Nik. A. Nesmeyanov, V. M. Novikov
This paper reports the preparation of mercurated phosphonium salts by addition of mercuric chloride to several triphenylphosphorane Wittig reagents, giving crystalline compounds with defined elemental compositions. Their reactions with ammonia, thiosulfate, aldehydes, phenylboronic acid, acid chlori…
G. N. Dorofeenko, Academician of the Academy of Sciences of the Moldavian SSR G. V. Lazur’evskii,
The paper investigates the synthesis of pyrylium salts through acid-catalyzed condensation of oxymethylenecyclohexanone with a range of ketones, including acetone, acetophenone derivatives, heteroaryl methyl ketones, cycloalkanones, and tetralone. The authors show that treatment in acetic acid with …
A. V. RAEVSKII, G. B. MANELIS, V. V. BOLDYREV, L. A. VOTINOVA
This study examines the role of dislocations in the thermal decomposition of ammonium perchlorate crystals, motivated by earlier observations that decomposition begins at localized centers and develops anisotropically. Single crystals were grown from purified aqueous solution, etched in ethyl alcoho…
R. A. VECHER, V. A. GEIDERIKH,
This study determines thermodynamic properties of solid iron silicon alloys over 600 to 800°C using electromotive force measurements of a galvanic cell involving pure iron, molten iodide electrolyte, and Fe Si alloys. From linear temperature dependences of the cell emf, the authors derive partial ch…
Corresponding Member of the Academy of Sciences of the USSR A. A. KRASNOVSKII,
This study examines whether organic polymers with conjugated bond systems can photosensitize the oxidation of ascorbic acid by oxygen, a behavior expected from their semiconducting properties. Using Warburg-Barkroft micromanometry, the authors measured oxygen uptake in aqueous ascorbic acid suspensi…
A. K. MOLODKIN, T. A. BALAKAEVA, A. N. KUCHUMOVA
This study examines the formation of thorium orthophosphates and related phosphate complexes in aqueous systems, addressing whether compounds previously obtained mainly by fusion can be isolated from solution. Equimolar systems containing thorium nitrate with phosphoric acid, sodium dihydrogen phosp…
B. V. SHIROKORAD
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The paper reformulates the problem of M-convexity for systems of linear partial differential equations with constant coefficients in terms of finite modules over the polynomial ring in differential operators. It relates the cohomology of sheaves of local homogeneous solutions to Ext groups via a Dol…
V. A. Pliss
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The paper studies growth characteristics of entire functions of several complex variables, presented for two variables, when the space is exhausted by products of circles rather than by one-parameter surfaces. It introduces systems of conjugate refined orders and corresponding conjugate types, prove…
M. I. Kabachnik, V. A. Gilyarov, M. M. Yusupov
This paper examines the instability of alkoxyphosphonium salts and tests the hypothesis that delocalization of the onium charge through nitrogen-containing substituents can increase their stability. The authors synthesize several alkoxyaminophosphonium and related phosphazacyanine salts from phosphi…
V. S. Myl'nikov
This study examines how adsorbed vapors and gases affect the electrical conductivity, photoconductivity, and capacitor photo-emf of copper polyphenylacetylide, a p-type coordination polymer semiconductor. Measurements on powdered samples under vacuum, oxygen, water vapor, quinone, chloranil, and mer…
CYBERNETICS
This paper establishes a sufficient frequency-domain criterion for the absolute stability of multiconnected pulse systems with a stable linear pulse part and multiple nonlinear elements whose sector-bounded characteristics may vary with time. The system is represented by a vector difference equation…
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This study investigates the solution structures and tautomeric equilibria of phenylmercury derivatives of substituted 2-phenylsulfonylaminopyridines, prepared by reaction with phenylmercury hydroxide. Cleavage reactions and salt formation behavior indicate bonding of the phenylmercury group to nitro…
E. D. SHCHUKIN, Z. M. ZANYOZINA, L. A. KOCHANOVA,
This paper examines whether fine dispersed structures in metallic alloys can be formed by creating and quenching liquid emulsions before crystallization, using the reduction of interfacial tension near critical mixing conditions. The authors develop the argument from colloid chemistry and test it ex…
N. N. Sveshnikov, N. A. Damir
The study examines the reaction of phosgene with 1-alkyldihydro-(1,2)-quinolones-(2), a class of cyclic amides for which this interaction had been little investigated. Experiments show that these substrates react readily at room temperature to form chloroalkylates of 2-chloroquinolines, identifying …
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The paper develops a quasi-one-particle approximation for a homogeneous Coulomb many-particle electron system starting from the random-phase approximation for the mass operator. By replacing the unperturbed Green function with the full Green function and averaging the dynamically screened interactio…
K. S. Vul'fson, I. Sh. Libin, A. Sh. Chernyak
This paper investigates the mechanism responsible for additional radiation peaks observed in pulsed neon discharges when the discharge current changes sharply, especially under shunting by a low resistance spark gap. The authors reject explanations based on population inversion or altered recombinat…
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This study examines the mechanism by which acetylene and acetaldehyde interact with mercury ions in sulfuric acid during the Kucherov hydration of acetylene to acetaldehyde, focusing on the cause of mercury catalyst deactivation. Using a flow apparatus and a stabilized mercury catalyst system withou…
V. M. Tikhomirov
The note surveys several problems in approximation theory in Banach spaces: best approximation of individual elements by finite-dimensional subspaces, approximation of convex sets, Kolmogorov widths, and related codimensional widths. It gives general criteria for best approximation in spaces of cont…
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This study examines whether dienophile activity in Diels-Alder diene synthesis correlates with the mean NMR chemical shift of β-hydrogen atoms in vinyl and isopropenyl dienophiles, on the assumption that both reflect electron density at the double bond. Rate constants were measured spectrophotometri…
O. I. Lukyanova, S. V. Khartsikhaeva
This study examines hydration and crystallization in sodium metasilicate using calorimetry, with attention to how condensed silicate anions affect behavior typical of inorganic binders. Measurements of heat evolution during formation of supersaturated solutions and crystallization of Na2H2SiO4·8H2O …
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This study applies secondary ion emission mass spectrometry to the early stages of corrosion and oxidation on a heated steel surface in high vacuum, residual gas, oxygen, and water vapor atmospheres. After annealing, secondary positive and negative ions were analyzed as functions of strip temperatur…
I. A. PRONINA, Yu. L. SPIRIN, A. A. BLAGONRAVOVA,
This paper investigates the mechanism by which cobalt(II) caprylate catalyzes urethane formation from phenyl isocyanate and n-butyl alcohol. Using dilatometric kinetic measurements and electronic absorption spectroscopy under vacuum, the authors examine how catalyst concentration, reagent ratios, re…
A. L. BUCHACHENKO, V. A. GOLUBEV, M. B. NEIMAN, É. G. ROZANTSEV
This paper analyzes electron paramagnetic resonance spectra of individual nitroxyl tri- and tetraradicals to determine how multiple unpaired spins participate in intramolecular exchange. By comparing spectra in different solvents and at different temperatures, the authors show that exchange can invo…
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This paper examines solar atmospheric ejections in active regions, emphasizing their distinction from prominences by their rapid directed motion, short lifetime, and spectral characteristics. Using observations of a limb ejection associated with a flare, the study reconstructs its development, estim…
V. I. LOGUNOV