V. K. Konyukhov, L. A. Kulevskii, A. M. Prokhorov
This paper reports experimental characteristics of an optical oscillator based on CdS single crystals excited by two-photon absorption from a ruby laser. The authors examine reflection and luminescence spectra at low temperature, measure the two-photon absorption coefficient at 694 nm, and study cha…
S. FEMPL
Ya. Z. Kazavchinskii
This paper examines the selection of a reference point for studying thermodynamic similarity of gases in reduced variables. It argues that a suitable reference point should be defined by equality of dimensionless quantities in corresponding states, especially by a common compressibility factor and b…
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The study examines the kinetics of arylsulfonyl chloride reactions with primary alkylamines in benzene, focusing on n-butylamine and 2,4-dinitrobenzenesulfonyl chloride. Rate measurements at varying concentrations and temperatures show that, unlike analogous reactions with secondary amines, the proc…
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This paper studies, in linear approximation, how an underwater ridge affects surface waves generated by an initial disturbance in an ideal incompressible fluid. The problem is formulated through a self-adjoint positive operator for the free-surface potential, then decomposed by Fourier transformatio…
Corresponding Member of the USSR Academy of Sciences G. A. Razuvaev, Yu. A. Sangalov, K. S. Minsker,
This study examines the initiation of vinyl chloride polymerization by mixtures of triethylaluminum with lower unsaturated perchlorocarbons, in comparison with the previously observed activity of carbon tetrachloride. Polymerizations were conducted in sealed ampoules at 20°C using purified vinyl chl…
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This paper examines how the equations of motion for charged particles arise within the coupled Einstein-Maxwell theory, rather than being introduced independently through a prescribed Lorentz force. Starting from the generally covariant and gauge-invariant action for the gravitational and electromag…
R. Shakirov, R. N. Nuriddinov,
R. V. GOLOVNYA, G. A. MIRONOV, I. P. ZHURAVLEVA
This paper proposes a gas chromatographic method for identifying primary, secondary, and tertiary normal aliphatic amines without using authentic standards. The approach uses Kovats retention indices measured on columns with nonpolar and polar liquid phases, exploiting differences in hydrogen bondin…
G. P. CHEREPANOV
The paper treats a special integrable case of the Riemann boundary value problem for several piecewise analytic functions with jumps on a contour decomposed into parts, where the coefficient matrix is diagonal on one part and cyclic off diagonal on the other. By introducing canonical scalar factors,…
M. S. Yarov-Yarovoi
A. B. Fasman, T. Kabiev,
This study examines how oxygen-containing anions of transition metals modify the activity of skeletal nickel catalysts in liquid phase hydrogenation of unsaturated compounds. Vanadate, tungstate, and molybdate salts were introduced either during alkaline leaching of a nickel aluminum alloy or direct…
E. M. SAVITSKAYA, L. S. NYS, B. P. BRUNS
This paper examines the equilibrium distribution of amino acids between aqueous solution and a swollen ion exchanger, emphasizing that amino acid ionization in both phases must be included in the thermodynamic description. Using glycine, and additionally alpha-alanine and asparagine, the authors mea…
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This paper investigates the temperature dependence of the oscillator strength of the ruby R1 absorption line by measuring it at liquid nitrogen temperature. The authors adapt Rozhdestvenskii’s hook method to narrow polarized crystal lines using a polarization interferometer and apply it to ruby samp…
I. P. Goldshtein, E. N. Gur’yanova,
This study examines the relationship between bond polarity and bond strength in donor acceptor complexes of tin tetrachloride with organic sulfides. Using dielectric and calorimetric titration, the authors measured dipole moments and heats of formation for complexes with aliphatic sulfides and with …
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The paper examines the correspondence between exact quantum-mechanical equations and the semiclassical approximation for nonadiabatic transitions in a two-level system with linear potential terms and constant coupling. By transforming the coupled nuclear Schrödinger equations to momentum representat…
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The study examines how hydrazine vapors and oxygen affect the dark electrical conductivity of thin layers of basic and acid dyes from the triphenylmethane and xanthene series, including both electron and hole organic semiconductors. Conductivity was measured under vacuum after controlled exposure to…
M. B. REZNIKOVA, M. A. NOVIKOVA, G. L. ZHDANOV
This study examines the enzymatic activation of fifteen amino acid analogues in the presence of the total pH 5 enzyme fraction from Escherichia coli B, using the hydroxamate assay to detect formation of aminoacyl adenylate intermediates. Four analogues, ethionine, norleucine, 3-fluorotyrosine, and b…
A. G. BOGANOV, V. S. RUDENKO, L. P. MAKAROV
This study examines the high-temperature polymorphism of pure zirconium dioxide and hafnium dioxide, focusing on whether stable cubic phases exist near their melting points. Using a specially designed high-temperature X-ray diffraction chamber with radiative and electron-beam heating in high vacuum,…
L. I. KAMYNIN
V. A. Pliss
I. L. BERSHTEIN
This paper analyzes frequency locking in a continuously operating laser generator subjected to a weak external optical signal. Using a simplified phenomenological model of a traveling wave resonator with an active element described by an amplitude transfer function, it derives boundary conditions fo…
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The paper studies when a structural isomorphism, or projection, between groups is induced by an actual group isomorphism, a property that does not hold in general. It proves an approximation theorem: if a group is approximable, via a strict filter of normal subgroups, by a class of groups whose proj…
D. S. Tsiklis, V. Ya. Maslennikova
This paper reports experimental measurements of phase equilibria in the water, nitrogen system at 330 and 365°C and pressures up to 4000 atm, aimed at determining whether limited mutual solubility of gases occurs in this binary mixture. Using high-pressure sampling and compositional analysis, the au…
B. V. POPOV
The paper studies semigroups of full transformations whose elements have rank at most two and whose images collectively cover the underlying set, with at least one rank one transformation. It gives intrinsic algebraic criteria for a semigroup to be isomorphic to one in this class, using relations de…
L. M. Levin, Yu. S. Sedunov
This paper examines how particle inertia modifies diffusional deposition of aerosols from a flow when the Stokes number is below the critical value for direct inertial capture. Using coupled equations for particle motion and diffusion, the authors derive analytic results for a hyperbolic flow near a…
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This note addresses the role of normality in regular convex partitions of Euclidean space, particularly in relation to Delone’s finiteness theorem for stereohedra. It constructs four infinite series of regular but nonnormal partitions of three-dimensional space into congruent brick-like parallelepip…
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This study examines whether exchange cations in clay minerals influence adsorbed water primarily through their own hydration or through broader changes in clay surface properties and microstructure. Monomineral clays saturated with Mg2+, Ca2+, Na+, and K+ were investigated using isothermal dehydrati…
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This paper develops a microscopic many-electron treatment of anisotropic indirect exchange in ionic crystals with magnetic and nonmagnetic sites, using perturbation theory with overlap integrals and spin-orbit coupling as key ingredients. The resulting Hamiltonians include both band-type and exchang…
E. I. FINKEL’SHTEIN, A. D. ABKIN
This study examines the gamma radiation polymerization of acrolein at low temperatures, with attention to how the monomer state affects polymer structure. Acrolein was irradiated in bulk and in solvents at minus 78 degrees Celsius and as a solid at minus 196 degrees Celsius, and the resulting polyme…
Academician M. I. Kabachnik, V. A. Gilyarov, M. M. Yusupov
This paper examines conjugation in organophosphorus systems containing a tetrahedral phosphorus atom, focusing on positively charged phosphorus analogs of azacyanines as models for assessing whether phosphorus interrupts or transmits conjugation. The authors synthesize two nominal isomeric phosphaaz…
E. I. NECHIPORUK
This paper studies the synthesis complexity of depth two gate circuits for Boolean matrices containing undetermined entries, motivated by control systems whose outputs need not be specified on forbidden input combinations. It formalizes completions of such matrices, proves a covering lemma for verti…
Ya. A. Ugai, Yu. P. Zavalskii, V. A. Ugai,
This paper investigates whether tin arsenide, Sn3As2, is a semiconductor and how its electrical behavior depends on the method of preparation. The authors synthesized the compound both by direct fusion of tin and arsenic in evacuated ampoules and by chemical precipitation from alcoholic stannous chl…
Yu. A. BalovneV, Corresponding Member of the Academy of Sciences of the USSR S. Z. Roginskii,
The paper examines the kinetics of hydrogen oxidation on clean platinum surfaces, with comparison to palladium and silver, under conditions designed to minimize contamination and vary the excess of either hydrogen or oxygen. From pressure-time measurements and graphical differentiation, the authors …
N. N. ACHASOV, Yu. B. RUMER, V. L. CHERNYAK,
The paper constructs a formal quantum mechanical model whose bound-state degeneracies correspond one-to-one to all irreducible representations of the unitary symmetry group SU(3). Starting from the accidental degeneracy of the Coulomb problem, the authors consider a five-dimensional Coulomb Hamilton…
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This paper investigates phase equilibrium in the ternary titanium, aluminum, oxygen system, motivated by the high temperature behavior of titanium alloys simultaneously alloyed with aluminum and oxygen. Alloys of 120 compositions were prepared by arc melting, with aluminum and oxygen most effectivel…
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This paper constructs optimal quadrature formulas for classes of functions on the unit interval whose even order derivative is bounded in the uniform, \(L_1\), or \(L_2\) norm. The formulas use function derivatives up to order \(r-2\), are exact for all polynomials of degree \(r-1\), and are obtaine…
Corresponding Member of the Academy of Sciences of the USSR L. V. OVSYANNIKOV
The paper introduces singular linear operators on scales of Banach spaces, defined by bounded action between smaller spaces with a norm growing at most like the inverse loss of scale parameter. Using successive approximations, it proves a local existence and uniqueness theorem for the abstract Cauch…
S. I. Zukhovitskii, R. A. Polyak, M. E. Primak
The paper develops a numerical method for minimizing a convex Fréchet differentiable functional over a bounded convex feasible set in a Hilbert space defined by convex inequality constraints. The proposed feasible direction algorithm chooses each descent direction by solving a finite-dimensional qua…
N. B. Shapiro
This paper develops an analytical model for steady wind-driven currents in the equatorial ocean, assuming a homogeneous fluid, constant vertical exchange, negligible nonlinear and horizontal exchange terms, and a zonal wind stress varying with latitude. By linearizing the governing coefficients near…
V. P. Silin
This paper analyzes plasma conductivity in a strong homogeneous magnetic field when a strong circularly polarized high frequency electric wave propagates along the field. Using the kinetic equation for charged particles in strong fields, it derives a generalized Ohm law and evaluates the collision c…
M. Sh. Birman, M. Z. Solomyak
The paper develops a systematic theory of double operator Stieltjes integrals of the form involving two spectral resolutions, a bounded operator, and a scalar kernel, viewed as transformations on ideals of compact operators in a Hilbert space. It defines these integrals first in the Hilbert Schmidt …
M. L. Belle, Yu. A. Valov, A. N. Goryunova, L. B. Zlatkin,
The paper reports optical absorption and photoconductivity measurements on n-type single crystals of ZnSiP2 grown from the gas phase by transport reactions. Using polarized light and measurements at 300 K, 77 K, and 4.2 K, the authors characterize the absorption edge, spectral photoconductivity, and…
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This note proves a generalization of Kolmogorov’s theorem on the persistence of conditionally periodic motions under small analytic perturbations of a Hamiltonian. For Hamiltonians depending on transverse variables and action-angle variables, under specified nondegeneracy and nonresonance conditions…
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This paper studies the convergence of a splitting method for a finite-difference approximation of the plane-parallel radiative transfer equation with isotropic scattering and prescribed inflow boundary data. The transfer operator is decomposed into a differential part and a scattering-absorption par…
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This paper formulates a locally equilibrium Gibbs ensemble for nonequilibrium systems with spatially varying temperature, chemical potentials, and velocity fields. It constructs the statistical operator by maximizing informational entropy under constraints on local densities of energy, particle numb…
I. N. Vekua stated the following hypothesis.
This note proves a regularity assertion for singular integral equations of normal type in Euclidean space, addressing a hypothesis of I. N. Vekua on when solutions inherit the smoothness class of the right hand side. For singular operators of class \(C_\alpha^\infty\) acting on \(L_p(E_n)\), the pap…
B. V. EGOROV, V. N. ZHIGULEV, V. M. KUZNETSOV
This paper develops aerodynamic equations for gases with excited internal degrees of freedom in the presence of binary molecular processes, emphasizing cases of two-temperature relaxation far from thermodynamic equilibrium. Starting from kinetic theory, the authors separate fast and slow collision p…
B. S. Gudkov, A. A. Balandin
This study examines deuterium exchange of cyclopentane with deuterium over vacuum-evaporated metallic catalysts, comparing Pt, Pd, Ni, W, Mo, and Fe across a range of temperatures. Product distributions were measured mass spectrometrically at low conversion and interpreted in relation to catalyst cr…
A. A. Samarskii
This paper formulates an additivity principle for constructing economical locally one-dimensional difference schemes for abstract Cauchy problems in a Banach space, where the main operator is represented as a sum of simpler one-dimensional operators. It interprets the method as an approximate factor…