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This paper proposes structural models for polynuclear uranium, oxygen complexes formed by hydrolysis of uranyl salts in aqueous solution, especially the doubly charged cations U2O5 and U3O8 and related anionic uranate complexes. Using prior evidence on uranyl coordination, hydrolysis equilibria, sol…
V. M. DAREVSKII and S. N. KUKUDZHANOV
The paper analyzes the stability of a thin orthotropic cylindrical shell of medium length subjected to torsion in the presence of internal pressure, extending earlier results for isotropic shells. Starting from shell equilibrium equations with orthotropic elastic constants, the authors derive a Donn…
L. Almashi, I. Felmeri, and A. Gants
The study examines the extension of the diazoaliphatic method to aluminum halides for preparing previously undescribed halomethyl derivatives of aluminum. Diazomethane was reacted with anhydrous aluminum fluoride, chloride, and bromide under nitrogen in ether at low temperature, and the products wer…
V. D. RYABOV and V. L. VAISER
This paper examines the catalytic cracking of several unsymmetrical diarylethanes as a route to vinylaromatic compounds. 1,1-(4,4′-diethyl)-diphenylethane, 1,1-(3,3′,4,4′-tetramethyl)-diphenylethane, and 1,1-di-(2-naphthyl)-ethane were cracked over an aluminosilicate catalyst at about 550°C in the p…
S. A. SHUKAREV and G. A. SEMENOV
This study investigates the sublimation of germanium dioxide by mass spectrometry, motivated by the importance of germanium surface oxides for semiconductor properties and by limited thermodynamic data. Using MS-1 and MS-4 instruments with electron-impact ionization, the authors measured mass spectr…
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This paper develops a spectrophone method for selectively determining the relaxation time of excited molecular vibrational states from measured phase shifts in an optico-acoustic receiver. It derives a direct functional relation between the phase shift and relaxation time over the full range of valu…
Yu. D. Tsvetkov, N. N. Bubnov, M. A. Makul’skii,
This study uses electron paramagnetic resonance to examine free radicals formed in several polymers irradiated at 77 K, including polyethylene, polyvinyl chloride, Teflon, polysiloxane, methacrylates, polystyrene, polyisobutylene, and natural rubber. Comparison of spectra before and after thawing su…
A. I. KURILENKO, N. V. KULKOVA, V. E. OSTROVSKII, and M. I. TEMKIN
This study examines how small amounts of electronegative additives, especially sulfur and chlorine species, affect the catalytic oxidation of ethylene over silver at 218°C. Using flow-circulation kinetic measurements and sulfur-35 labeling, the authors measured catalyst activity, selectivity toward …
L. D. BELYAKOVA and A. V. KISELEV
This study examines how thermal dehydration of macroporous KSK-2 silica gel affects adsorption of benzene and hexane vapors. Silica gel samples were calcined in vacuum at 200 to 1020 degrees, with water evolution, surface area, pore volume, hydroxyl concentration, and vapor adsorption isotherms meas…
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This paper investigates a method for preparing graft copolymers of polyamides with vinyl monomers while avoiding the simultaneous formation of block copolymers. Polycaprolactam and the copolyamide Anid G-669 were ozonized for varying times and then treated with styrene or methyl methacrylate, follow…
I. G. KISELEVA and B. N. KABANOV
This study examines how the alpha and beta crystalline modifications of lead dioxide form and how they differ electrochemically in sulfuric acid media. Using radiochemical adsorption measurements, X-ray diffraction, and overvoltage and discharge curves, the authors compare PbO2 deposits prepared fro…
B. M. Levitan
This note proves partial converse results to earlier Lie-type direct theorems for operators of generalized translation on analytic manifolds. For two classes of infinitesimal differential operators, it gives commutation conditions under which the associated overdetermined Cauchy problems are compati…
I. Ts. GOKHBERG
The paper studies homogeneous singular integral equations in L2 on a finite system of smooth closed contours with continuous coefficients satisfying a nonvanishing condition. Extending a result previously known for Hölder coefficients, it proves that the number of linearly independent solutions is d…
A. A. BALANDIN, E. I. KARPEISKAYA, and A. A. TOLSTOPYATOVA
This study examines metallic rhenium on activated carbon as a catalyst for dehydrogenation reactions, motivated by predictions from the multiplet theory of catalysis. Rhenium catalysts prepared by impregnation with ammonium perrhenate or a rhenium oxide dioxane complex were tested with cyclohexane h…
Unknown
The paper studies extremal inequalities for trigonometric polynomials of several variables, motivated by problems in approximation theory and by earlier results of Bernstein, Bari, and Nikol’skii. It establishes a general bound for linear functionals defined by integration against an arbitrary integ…
Unknown
This study examines the catalytic copolymerization of isoprene and divinyl in hexane using butyllithium, with copolymer composition determined by a carbon-14 tracer method applied to labeled isoprene. Experiments at varying initial monomer ratios and conversions were analyzed with the integral Mayo-…
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This paper examines deviations from Raoult’s law in binary solutions where the components undergo chemical interaction to form a compound. It argues that such interactions need not produce only negative deviations, and shows mathematically that when a nonvolatile product with stoichiometry AmBn is f…
M. E. MAYER and D. V. SHIRKOV
This paper analyzes two-particle scattering in the two-dimensional massless Thirring model with a nonlinear spinor self-interaction. The authors compute the second-order perturbative contribution to the scattering vertex, note the absence of ultraviolet divergences, and apply the renormalization-gro…
Unknown
This paper analyzes filtration in a porous medium when a two-component mixture is displaced by a third immiscible liquid, with special attention to the case where one displaced component has much lower viscosity than the others, as in gas-oil systems under water flooding. Using continuity equations …
V. G. Boltyanskii
This note proves Pontryagin’s maximum principle as a necessary condition for time-optimal control of a dynamical system whose control parameter ranges over an arbitrary topological space. Using needle variations of a piecewise continuous control, the paper constructs a convex cone of attainability a…
N. B. BARANOVSKAYA, M. Z. ZAKHAROVA, A. I. MIZIKIN, and A. A. BERLIN
This paper investigates room temperature curing of liquid and rubber-like polydimethylsiloxanes, a process previously limited by the need for prolonged heating at high temperatures. The authors study crosslinking through reactions between hydroxyl-terminated polymers and polyfunctional organosilicon…
A. *A zero-dimensional space remains zero-dimensional after the adjunction of one point.
The paper addresses Freudenthal’s proposed necessity of semibicompactness for spaces admitting compactifications with zero-dimensional remainders, identifying a flaw in the assertion that adjoining one point preserves zero-dimensionality in general. Using Dowker’s normal zero-dimensional space with …
A. E. GEL'MAN
The paper gives criteria for the existence of bounded, periodic, quasiperiodic, and almost-periodic solutions of nonlinear differential equations with constant-coefficient linear part. It first proves a lemma on the unique bounded solution of a linear inhomogeneous equation on the whole real axis, i…
I. M. GLAZMAN
This note extends earlier results on the negative spectrum of self-adjoint differential operators acting on vector-valued functions, especially higher-order one-dimensional operators with Hermitian matrix potentials. Using quadratic form estimates expressed through the smallest and largest eigenvalu…
Unknown
This study examines the conditions under which hexavalent uranium precipitates as uranyl hydroxide from aqueous perchlorate solutions, a problem relevant to uranium ore genesis and hydrogeochemical prospecting. Using potentiometric titration with sodium hydroxide under carbonate-free, oxygen-free co…
A. A. BALANDIN, O. K. BOGDANOVA, and A. P. SHCHEGLOVA
This study examines the catalytic dehydrogenation of isopentenes to isoprene as a route to synthetic rubber feedstocks from petroleum-derived hydrocarbons. Using a flow reactor, the authors varied temperature, isopentene space velocity, and steam dilution, and analyzed liquid and gaseous products to…
V. A. LABZIN and V. I. LIKHTMAN
This paper examines how low-melting metallic coatings affect the creep of zinc single crystals under constant tensile stress. Zinc single-crystal wires were coated electrolytically with thin films of tin, lead, or tin-lead alloys, and steady-state creep rates were measured from room temperature to a…
A. D. Petrov, E. A. Chernyshev, N. G. Tolstikova
This study develops synthetic routes to para ring substituted silicon containing styrenes, a class for which earlier reports gave limited preparative and property data. The authors prepared secondary and tertiary alcohol intermediates by Grignard reactions of brominated trialkylsilylphenyl, trialkyl…
Unknown
This paper analyzes the interaction of two stationary spherical bodies that emit ultrarelativistic gas flows, using an equation of state with adiabatic index 4/3 and treating the mutual pressure balance of the outflows at large separations. It derives the geometry of the interaction surface, estimat…
Unknown
This paper studies homological restrictions on dimension-raising continuous mappings from closed orientable manifolds, using the Vietoris theorem in Begle’s form. It proves that an n-dimensional closed orientable manifold cannot be mapped onto a higher-dimensional polyhedron with all point preimages…
Unknown
This note studies implicit operators between Banach spaces, focusing on the convergence domain of the power series defining an analytic implicit solution and on estimates for its remainder. Under standard hypotheses of analyticity, a zero condition, and invertibility of the partial derivative with r…
Unknown
The paper calculates the critical current at which superconductivity disappears in thin superconducting films deposited on cylindrical substrates, using the Ginzburg-Landau macroscopic theory in which current and magnetic field enter on comparable terms. Treating sufficiently thin films as plane lay…
Unknown
This note extends the theory of Foss surfaces from three-dimensional Euclidean space to two-dimensional surfaces in four-dimensional Euclidean space, defined by a conjugate net whose two families are geodesics. Using moving frames and exterior differential systems, it derives the structural equation…
Unknown
This paper examines whether an atomic nucleus can enter a superfluid state analogous to superconductivity in metals, focusing on weak interactions among protons or neutrons near the Fermi surface in medium and heavy nuclei. Using Bogolyubov’s variational method and a canonical transformation of Ferm…
Unknown
This study examines the adsorption of isopropyl alcohol on coprecipitated iron oxide, aluminum oxide ferroalumogel catalysts, a system in which both dehydration and dehydrogenation reactions can occur. Using vacuum adsorption measurements at 30 °C on samples calcined at 400 and 600 °C, with surface …
Unknown
The paper formulates a thermodynamic equilibrium condition for gas motions containing surfaces of strong discontinuity, supplementing variational principles for hydrodynamic motion with a variational form of the second law. Using the conservation laws across a shock, detonation, or reaction front an…
Unknown
This paper studies the synthesis of logical networks with memory when the desired operator is specified not by finite tables but by formulas of an extended calculus of unary predicates. It defines a class of time-controlled formulas over input predicates and proves that these formulas characterize e…
Yu. A. ZHDANOV, G. N. DOROFEENKO, and G. V. BOGDANOVA
This paper examines the use of organozinc reagents as an alternative to Grignard reagents for synthesizing carbon carbon derivatives of carbohydrates from acetohalogenoses. The authors reacted acetochloroglucose and acetochloroarabinose with phenylzinc chloride, p-anisylzinc chloride, and diphenylzi…
Unknown
The paper studies the synthesis complexity of contact circuits realizing Boolean functions of n variables, focusing on the asymptotic number of contacts sufficient and necessary in the worst case. It develops a synthesis method based on decomposing Boolean function tables, partitioning binary tuples…
V. P. KHAVIN
The paper studies criteria for analytic continuation of a power series initially convergent near infinity into a simply connected exterior domain whose complement is a compact set. Using Faber polynomials associated with the conformal map of the domain and Köthe’s description of continuous linear fu…
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This study examines how atomic concentrations of chromium, molybdenum, and tungsten affect the properties of nickel solid solutions. Using physicochemical analysis, the authors measured lattice parameters, electrical resistivity, hardness at room and elevated temperatures, and heat resistance under …
Unknown
This paper studies perturbed planar systems whose unperturbed motions form a family of periodic trajectories depending on slowly varying parameters. Using a change to variables given by an integral of the unperturbed system, the parameters, and the oscillation phase, the author applies averaging ove…

This study examines the kinetics and mechanism of oxidation of m-sulfobenzyl alcohol and m-sulfobenzaldehyde by active chlorine in aqueous solution, using these sulfonated aromatic substrates to isolate alcohol and aldehyde group oxidation from complicating side reactions. Rate measurements at 30 de…
Unknown
This paper examines the photoproduction and pion-induced production of K mesons and hyperons using dispersion relations for the relevant reaction amplitudes. By choosing a coordinate system suited to these relations and analyzing the imaginary parts through intermediate-state expansions, it shows th…
Unknown
This note presents a procedure for reducing accumulated rounding errors in solving systems of linear algebraic equations by column orthogonalization, a form related to conjugate directions and Gaussian elimination. The method repeatedly reorthogonalizes computed vectors and uses scalar products meas…
A. N. Belozerskii
V. I. ZUBOV
This paper develops a reduction method for studying stability of the zero solution of a system of ordinary differential equations split into two groups of variables. It formulates notions of strong stability for the reduced subsystem and gives Lyapunov-type sufficient conditions under which stabilit…
Unknown
This paper examines scattering of sound waves by irregularities in a rectangular waveguide, extending earlier small perturbation treatments to cases where the scattered field need not be small relative to the incident field. Using a modified Rytov method applied to normal wave propagation, it derive…
Unknown
The paper studies representation of large integers by integral primitive positive ternary quadratic forms with odd relatively prime invariants. It proves lower and upper bounds, in terms of class numbers of positive binary quadratic forms, for the number of primitive representations satisfying local…
Unknown
The paper proposes a theoretical scheme for atmospheric circulation over Antarctica, treating it as a two-layer system produced by thermal contrast between the cold ice surface and surrounding warmer oceans. Using Kochin’s theory of oscillations along an inclined interface between fluids, together w…