Corresponding Member of the Academy of Sciences of the USSR B. V. DERYAGIN, Yu. I. YALAMOV
The paper develops a theory of thermomolecular pressure difference and thermal transpiration of gases in moderately wide capillaries, extending an earlier Chapman-Enskog based treatment for the limiting case of small Knudsen number. Using Onsager relations, the Navier-Stokes equation with a slip bou…
A. I. SHTERN
The paper classifies completely irreducible representations of the real unimodular group of second order, using induced representations realized on function spaces and their decomposition with respect to the orthogonal subgroup. It defines complete irreducibility through approximation of admissible …
This article considers the question of determining the velocity and density of a gas by electron-beam methods.
This paper surveys electron beam techniques for measuring and visualizing gas flows, focusing on local velocity and density determination in cold gases and plasmas. It describes fluorescent marking for gases with long afterglow, Doppler shifts of electron excited fluorescence for short afterglow gas…
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This paper proposes a generalization of the Bardeen, Cooper, Schrieffer superconductivity model intended to allow an isotropic excitation spectrum in Fermi systems where attraction may occur in higher angular harmonics, such as liquid helium-3. The model replaces ordinary Cooper pairing by pairings …
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This study examines how platinum surface oxides affect oxygen and hydrogen peroxide electroreduction on smooth platinum in alkaline solution. Using a rotating disk electrode with a ring in 0.125 N KOH, the authors compared oxidized and reduced electrode surfaces and used ring currents to estimate hy…
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This paper examines the kinetics of diffusionless polymorphic transformations in zirconium dioxide during cooling, focusing on the relation between isothermal and athermal martensitic behavior. Using X-ray observations of high-purity zirconia and metastable tetragonal zirconia obtained from zirconiu…
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Tolstov develops a classification of formal differentiation and the abstract integrals it generates by adding supplementary axioms to a previously defined general scheme. The paper distinguishes weak, medium, and strong differentiation, corresponding to integrals of Duhamel, Daniell, and Lebesgue ty…
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The study determines the phase equilibrium diagram of the chromium, osmium system, for which previous work had established two intermetallic compounds and substantial mutual solubility. Alloys of selected compositions were prepared by arc melting, homogenized and annealed at several temperatures, th…
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This paper proves a lower bound for closed geodesics in a complete simply connected smooth Riemannian manifold whose sectional curvatures lie between a positive constant and 1. Extending earlier results for surfaces, even dimensions, and certain odd-dimensional cases, it establishes that every close…
Corresponding Member of the Academy of Sciences of the USSR A. V. NIKOLAEV, V. L. BOGATYREV, A. I. VULIKH
The study examines hydrogen and calcium ion exchange on the KU-2 cation exchanger in concentrated hydrochloric acid and calcium chloride solutions, a region relevant to water deionization but less characterized than dilute systems. Using a ray method of physicochemical analysis at 25 degrees C, the …
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This study examines the interaction of neodymium oxide with water vapor and liquid water, with attention to the stability, composition, and structure of hydrated phases. Using hydrothermal synthesis, controlled humidity experiments, thermogravimetry, thermal analysis, infrared spectroscopy, X-ray di…
V. P. Balakhnin, Yu. M. Gershenzon, Academician V. N. Kondrat’ev,
This study investigates atomic oxygen and hydrogen in rarefied hydrogen flames, motivated by uncertainties in the elementary rate constants governing chain propagation and branching. Using an electron paramagnetic resonance jet apparatus with the reactor placed directly in the resonator, the authors…
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This paper studies absolute stability for a class of automatic control systems formed by a linear element in a closed loop with a nonlinear element, including nonlinearities such as backlash. Using Popov’s method, it establishes sufficient frequency-domain conditions for stability when the linear tr…
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The paper treats the displacement boundary-value problem for the Lamé system in a homogeneous isotropic elastic layer with prescribed displacements on the two bounding planes. Using invariance under the group of plane-parallel motions, the solution is expanded in minimal invariant subspaces expresse…
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The paper studies the cohomology algebra of the mod 2 Steenrod algebra as it appears in the Adams spectral sequence for stable homotopy groups of spheres. It constructs a spectral sequence converging to this cohomology algebra, with a polynomial first term, and develops the use of spectral cohomolog…
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The paper develops a general method of multiplier enlargement for linear positive operators in Banach spaces and applies it to polynomial approximation of unbounded continuous functions. A convergence theorem is proved under normalization and singularity conditions, then used to construct and analyz…
A. N. Pudovik, E. I. Kashevarova
This paper reports the preparation and characterization of selenium-containing derivatives of acrylic and methacrylic acids, a class for which the authors note little prior information. Selenophenol was reacted with methacryloyl chloride in ether in the presence of triethylamine, giving selenophenyl…
Corresponding Member of the Academy of Sciences of the USSR N. A. TOROPOV, I. A. BONDAR,
This paper reports the preparation and characterization of a new crystalline modification of yttrium orthosilicate with composition Y4Si3O12, obtained as single crystals from a potassium fluoride melt. Goniometric, chemical, optical, thermal, hardness, and X-ray diffraction studies show that this fo…
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This paper reports the synthesis of phosphinic derivatives of alpha-amino acids and peptide analogs motivated by the biological activity of organophosphorus compounds and the potential significance of phosphinic amino acid analogs. Using the mixed anhydride method, carbobenzoxy-protected glycine, al…
D. S. BYSTROV
This paper investigates the structure of aromatic carbonium ions formed as sigma complexes of aromatic hydrocarbons with hydrogen bromide and aluminum bromide, using low-temperature infrared spectroscopy. Spectra of complexes of benzene, toluene, mesitylene, hexamethylbenzene, and related hydrocarbo…
B. P. Bering, V. V. Serpinsky, S. I. Surinova
This paper analyzes adsorption of binary vapor mixtures on solid adsorbents as a means of relating sorption behavior to pore structure. Using curves that plot adsorption of the more strongly adsorbed component against that of the less strongly adsorbed component at constant vapor composition, the au…
A. L. GARKAVI
The paper studies finite codimensional subspaces of the space of continuous functions on a bicompact space and gives criteria for proximinality, uniqueness of best approximation, and the Chebyshev property. Using the annihilator of the subspace, represented by finite systems of regular measures, it …
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The paper studies the transfer of an axial end load from a finite riveted stringer to an infinite or semi-infinite elastic plate, seeking the distributed load transmitted along the attachment segment. Using known plane elasticity solutions for concentrated forces, the compatibility of stringer and p…
V. G. KALASHNIKOVA, M. V. KAZHDAN, Z. Ya. BERESTNEVA,
This study examines how thermal vulcanization affects supramolecular ordering and crystallization in chloroprene rubbers, using nairit A and neoprene AC films observed by electron microscopy. Films were vulcanized at 153 degrees in air or vacuum for varying times, and network density was estimated b…
Academician of the Academy of Sciences of the Ukrainian SSR K. D. SINELNIKOV
This paper examines the energy and mass spectra of ions in plasma bunches interacting with a transverse magnetic field, addressing whether previously observed increases in velocity along the field reflect true acceleration or changes in plasma composition. Using electrostatic energy analysis and tim…
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This paper examines how static helical perturbations affect the equilibrium of cylindrical plasma columns with nested magnetic surfaces, especially near surfaces whose unperturbed field lines close with the perturbation pitch. By analyzing the helical magnetic-surface integral and the equilibrium eq…
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This study examines the structures of phosphacyclopentene derivatives obtained from isoprene, where asymmetric substitution in the ring permits several possible positions of the double bond. Proton NMR spectra and phosphorus decoupling by double nuclear resonance were used to identify ethylenic and …
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The paper studies a multidimensional linear second order differential equation for a scalar function on a real finite dimensional space, treating the Cauchy problem, the homogeneous equation, nonhomogeneous equations, and a special multipoint problem. It gives uniqueness for solutions with the same …
Corresponding Member of the Academy of Sciences of the USSR N. K. KOCHETKOV, L. I. KUDRYASHOV,
This study examines the radiolysis of glucosamine in oxygen-free aqueous solution under cobalt-60 gamma irradiation, motivated by the biological importance of amino sugars and the lack of prior radiation-chemical data for this class. The authors develop a paper-chromatographic micromethod, combined …
N. I. Popova, B. V. Kabakova, F. A. Milman, E. E. Vermel
This study examines gas-phase oxidation of unsaturated and aromatic hydrocarbons, and methallyl chloride, over copper catalysts supported on silica, including modified catalysts with heavy-metal oxide or salt additives. Using flow experiments under kinetic conditions with short contact times, the au…
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This paper examines the catalytic behavior of diethylbuten-1-yl-1-aluminum in the polymerization of olefinic and vinyl monomers, with attention to its intermediate properties between trialkylaluminum compounds and their halogen or oxy derivatives. Experiments with ethylene, propylene, styrene, vinyl…
In this note I shall prove
The note studies cardinality bounds for pseudobases in compactness-like topological spaces. It proves that if an H-closed space has a t-pseudobase such that, at each point, the family of pseudobase elements for which the point is a contact point has cardinality at most a, then the whole t-pseudobase…
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This note examines the loss of stability of a strictly convex elastic shell, fixed along its boundary, under the pressure exerted by a taut string. Using the mirror bulging approximation for the postcritical deformation, it compares the elastic deformation energy of the shell with the work done by t…
L. M. GLUSKIN
The paper studies n-ary algebras, called n-operatives, whose single operation satisfies generalized associativity, alternativity, commutativity, or positional permutation identities. It develops notions of one-sided and two-sided invertibility, ideals, unitary elements, and identities, and proves st…
Academician A. N. NESMEYANOV, A. E. BORISOV, I. S. SAVEL’EVA
The study examines the kinetics of hydrochloric acidolysis of symmetrical aromatic, aliphatic, and unsaturated organomercury compounds in 90% aqueous dioxane, with reaction rates measured acidimetrically and compared with isolated products. All investigated reactions were second order, and substitue…
V. F. Kucherov, A. S. Onishchenko, B. A. Rudenko, E. A. Elperina
This study reexamines how temperature affects the structural orientation of Diels Alder condensation of isoprene with acrylic type dienophiles, focusing on the formation of para and meta adducts. Equimolar reactants in benzene were heated at several temperatures, and the isomeric composition of prod…
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The paper studies multiplicative uniformly continuous families of random probability operators on spaces of bounded measurable functions, formulated with measurability and composition conditions indexed by time intervals. It proves a one-to-one correspondence between such multiplicative families and…
B. A. RYMARENKO
This paper studies extremal problems for bounded monotone entire functions of finite degree that are real on the real axis and satisfy one or two prescribed linear conditions. It proves that, for up to two admissible constraints, an extremal function of minimal uniform norm may be chosen so that its…
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This paper addresses the theoretical calculation of collision efficiency for cloud droplets of comparable sizes, a case in which hydrodynamic interaction between particles cannot be neglected. It formulates equations of relative motion including inertia, Stokes hydrodynamic interaction, gravity, par…
Corresponding Member of the Academy of Sciences of the USSR G. I. CHUFAROV
This paper examines how the concentration dependence of thermodynamic functions can be estimated for ferrite solid solutions with spinel structure, using the copper ferrite and magnetite system as the main example. It derives configurational expressions for entropy and internal energy of mixing base…
M. G. KREIN, G. K. LANGER
This paper studies spectral properties of quadratic operator pencils of the form L(lambda) = lambda squared I + lambda B + C in a Hilbert space, with B self-adjoint and C subject to compactness, positivity, or damping assumptions. The authors develop an approach based on the associated quadratic ope…
B. G. ERSHOV, A. K. PIKAEV, P. Ya. GLAZUNOV,
Electron paramagnetic resonance was used to examine radicals formed by irradiation of frozen aqueous sodium nitrite and sodium nitrate solutions in acidic, neutral, and alkaline media. By comparing spectra during warming and varying alkali and solute concentrations, the study assigns observed signal…
V. F. MIRONOV, A. L. KRAVCHENKO
A preparative method is described for alkylating trichlorogermane to obtain alkyldichlorogermanes, compounds previously difficult to access by known routes and not obtainable from trichlorogermane with Grignard or organolithium reagents. The study examines reactions of trichlorogermane, especially i…
Academician Vikt. I. Spitsyn, V. I. Pikaeva, I. E. Mikhailenko
This paper examines how incorporation of radioactive sulfur 35 affects the catalytic properties of tungsten disulfide, a semiconductor catalyst, in the vapor phase dehydration of n-decyl alcohol. Nonradioactive and radioactive tungsten disulfide samples were synthesized from tungsten and sulfur, cha…
V. D. BEZUGLYI, E. K. SALIICHUK
This paper examines the use of polarographic maxima for determining the molecular weight of polyvinyl alcohol. The authors measure suppression of the second-kind polarographic maximum on the copper wave in potassium chloride solution for fractions of polyvinyl alcohol with different molecular weight…
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The paper investigates how the energy spectra of fast ions reflected from polycrystalline surfaces depend on scattering angle, treating ion interaction with the solid as a sequence of elastic binary collisions when electronic excitation losses can be neglected. Argon ions of 25 keV were directed at …
Corresponding Member of the USSR Academy of Sciences G. K. Boreskov, Yu. M. Shchekochikhin,
This study uses infrared absorption spectroscopy to examine surface compounds formed when ethanol is adsorbed on gamma alumina at different temperatures. The spectra indicate physically adsorbed ethanol at low temperature, two types of surface ethoxy groups formed through reaction with surface hydro…
V. Ya. Balakhanov, V. K. Zhivotov, A. R. Striganov
This paper reports a microwave experimental study of open resonators with cylindrical mirrors, motivated by their use in quantum generators, dielectric studies, and plasma diagnostics. Using an 8 mm Fabry-Perot type interferometer with silvered cylindrical mirrors, the authors measured quality facto…