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This article revisits the principle of structural correspondence in catalysis within Balandin’s multiplet theory, focusing on metal catalysts for cyclohexane dehydrogenation and benzene hydrogenation. Using updated interatomic distance data, it compiles a revised table of simple metal lattice types …
I. G. Ryss and D. B. Donskaya
The study examines the hydrolysis kinetics of pyridine sulfotrioxide in water, motivated by proposed similarities between coordination compounds of sulfur trioxide and boron fluoride with tertiary amines. Pyridine sulfotrioxide was synthesized, characterized despite partial hydrolysis to pyridine hy…
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This paper extends a previously proposed flow reactor method for determining reaction rates without assuming a kinetic equation to complex chemical reactions, especially heterogeneous catalytic processes. It analyzes how reaction rates may depend on feed rate through changes in partial pressures, th…
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This paper derives exact similarity solutions for the steady melting of a semi-infinite heat-conducting solid near the forward critical point in plane and axisymmetric incompressible flow. Starting from the Navier, Stokes and heat-conduction equations for the outer fluid, melt film, and solid, with …
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The paper studies two-dimensional surfaces in four-dimensional projective space through a moving projective frame adapted to their Laplace transforms and introduces the two-parameter family of axial planes determined by osculating planes of the conjugate net. It derives formulas for these planes, de…
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The paper develops a general framework for extremal problems involving analytic functions subject both to global growth bounds in a domain and additional constraints on a subset of that domain. Using duality in locally convex spaces, it derives abstract extremal identities and applies them to bounde…
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This paper analyzes the kinetics of distillation in a supercooled system containing droplets, crystals, and vapor, where vapor transfer causes droplets to evaporate and crystals to grow. The authors formulate a diffusion-based Cauchy problem for particle radii and vapor density, derive conservation …
B. S. RIMSKII-KORSAKOV
This paper develops an analogue of the Poisson summation formula for sums weighted by the number of integral ideals of given norm in selected algebraic number fields. Using Mellin inversion, the functional equation of the Dedekind zeta function, and generalized Fourier kernels expressed through Bess…
A. N. NESMEYANOV, V. A. SAZONOVA, and V. N. DROZD
This paper examines substitution reactions of chloro- and bromoferrocene, which had shown limited reactivity toward conventional alkali-metal nucleophiles, using copper salts as reagents for replacing halogen atoms in the ferrocene nucleus. The authors show that copper acetate converts haloferrocene…
V. G. LEVICH and Yu. A. CHIZMADZHEV
This paper analyzes spontaneous current and potential oscillations observed during electroreduction of persulfate anions on a mercury drop electrode, focusing on the role of tangential electrocapillary motion of the mercury surface. The authors formulate a two-variable dynamical model using the doub…
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M. N. Chumachenko, M. O. Korshun, V. P. Burlaka, and V. N. Simonova
A method is described for determining silicon in organosilicon compounds by reductive decomposition with metallic potassium in a sealed steel microbomb at 850 to 900°C. After dissolution of the melt in water, silicon is converted to soluble silicate and measured by colorimetric, amperometric, or vol…
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This study examines the mass spectra of four silicon-containing vinylacetylenes to compare their dissociative ionization with that of analogous enyne hydrocarbons. Using electron-impact mass spectrometry, the authors analyze fragmentation patterns of trimethylsilyl and triethylsilyl alkenynes and id…
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This paper studies the plane unsteady motion of an incompressible heavy fluid near an inclined shore whose angle with the free surface is pi divided by twice an integer. Using known standing-wave solutions, the author formulates the Cauchy-Poisson problem for an initial surface impulse and solves th…
Corresponding Member of the Academy of Sciences of the USSR V. G. LEVICH, V. A. KIRYANOV, and V. S. KRYLOV
This paper develops a quantitative theory of charge discreteness in the electric double layer at a metal, electrolyte solution interface, motivated by limitations of models that treat specifically adsorbed ionic charge as uniformly distributed. Using boundary value formulations and Green function me…
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This paper develops a theory of the plasma “return” layer formed at the boundary where a free molecular plasma flow is excluded by an external magnetic field, with the incident flow taken perpendicular to the layer. It derives self-consistent equations for the electric and magnetic fields and for el…
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This note studies finitely presented groups whose defining bases are \(k\)-reducible, generalized \(k\)-reducible, irreducible, or \(\delta\)-bases, in the sense related to work of Tartakovskii. It compares \(k\)-reducibility with the \(\delta\)-basis condition via suitable length functions, and pro…
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This paper reports experimental thermodynamic data for binary and related chlorosilane derivative solutions relevant to organosilicon polymer synthesis. Saturated vapor pressures and vapor densities were measured for systems including methylhydrodichlorosilane, trichlorosilane, methyltrichlorosilane…
V. A. PALM and M. P. KHЫRAK
The study examines the role of diethyl ether in the formation of butylmagnesium bromide from butyl bromide and magnesium, using thermographic measurements to derive kinetic curves in anhydrous ether and ether, n-hexane mixtures. The experiments show that the induction period can be removed without c…
Unknown
This paper analyzes the elastic stability of a cantilever circular cylindrical shell subjected to external pressure when its movable edge is reinforced by an elastic ring. Starting from linearized shell equilibrium equations and ring equilibrium relations, the authors derive approximate governing eq…
A. L. ZELMANOV
The paper examines possible deformations of the accompanying matter space in Einstein’s theory of gravitation when homogeneous isotropic cosmological models are replaced by anisotropic and inhomogeneous ones. Using a semi-inverse method, it prescribes general analytic and metric properties of select…
Academician A. V. TOPCHIEV, E. A. MUSHINA, A. I. PERELMAN
This paper reports the synthesis and polymerization of vinylcyclohexane as a route to crystalline polyvinylcyclohexane, a polymer for which prior data on vinylcyclohexane polymerization were lacking. Vinylcyclohexane was prepared from cyclohexylethyl alcohol, obtained either through a Grignard react…
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This study examines the low-temperature oxidation kinetics of titanium, zirconium, molybdenum, and two titanium alloys in oxygen over 50 to 400 degrees C, using an optical polarization method to measure growth of thin invisible oxide films. The experiments show that initial oxidation begins at diffe…
To find discontinuous solutions of the equations of gas dynamics
The paper proposes a finite difference method for computing discontinuous solutions of one-dimensional gas dynamics equations with an arbitrary equation of state. The approach is a through-computation scheme that does not explicitly track discontinuity points, but it incorporates Hugoniot jump condi…
I. V. PETUKHOV
This paper proposes a numerical method for integrating laminar boundary layer equations with arbitrary boundary conditions, focusing on steady plane incompressible flow while indicating possible extension to compressible cases. The argument uses the translational invariance of the transverse coordin…
V. N. FUNTAKOV
This paper studies expansions in eigenfunctions for a non-self-adjoint differential operator of arbitrary even order on the half-axis, with complex summable coefficients and general boundary conditions at the origin. Using asymptotic solutions in sectors of the spectral parameter plane and finite-in…
A. K. Pikaev and P. Ya. Glazunov
This study examines the radiolytic reduction of tetravalent cerium in sulfuric acid solutions containing monovalent thallium under very high electron pulse dose rates, up to about 10^23 eV/ml sec. Using spectrophotometric determinations of Ce(III) and indirect measurements of Tl(III), the authors co…
V. S. ILYUKHIN, P. F. POKHIL, O. K. ROZANOV, and N. S. SHVEDOVA
This paper reports dynamic compressibility measurements for cast TNT, crystalline RDX, and nitromethane under shock loading conditions chosen to avoid or delay detonation. Using a reflection method with copper plates, electrical contact gauges, and oscillographic timing, the authors determined shock…
M. M. KOTON and T. M. KISELEVA
This study investigates the synthesis of polyorganostannoxanes containing Sn,O,Sn linkages in the main chain, motivated by the use of organotin compounds and tin-containing polymers as stabilizers for chlorine-containing polymers. The authors applied polycondensation of di-n-butyl- and diisobutyltin…
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This paper extends the M. Riesz interpolation theorem for linear operators between Lebesgue spaces to questions of complete continuity. It proves that if a linear operator is completely continuous from one Lebesgue space into another, with finite target exponent, and continuous between a second pair…
V. B. LAZAREV and P. P. PUGACHEVICH
This paper examines the temperature dependence of the surface tension of molten germanium, a property relevant to semiconductor alloying, zone melting, single-crystal production, and wetting phenomena. The authors measured surface tension from 980 to 1400°C using the maximum-pressure gas-bubble meth…
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This paper develops a superfluid model of medium and heavy nuclei by incorporating attractive residual pairing interactions between nucleons near the Fermi surface into shell and generalized nuclear models. Using Bogolyubov’s variational method and the Nilsson potential in the adiabatic approximatio…
V. G. BEREZKIN, I. M. KUSTANOVICH, L. S. POLAK, and N. Ya. CHERNYAK
This study examines the kinetics of radiolysis products formed from n-heptane at 300 K over a broad absorbed-dose range, focusing on deviations from linear product yields and the composition of gaseous and liquid unsaturated products. The authors combine gas-liquid chromatography, including a sequen…
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This paper examines the analytic assumptions underlying Mandelstam double spectral representations for scattering amplitudes, focusing on the contribution of fourth order perturbation theory for scalar boson scattering. Using Dyson’s integral representation for causal commutators, the author rewrite…
N. M. KOROBOV
This paper studies trigonometric sums associated with completely uniformly distributed functions, improving earlier estimates of order O(P^{3/4} log P). It constructs a class of functions using blocks determined by primes and carefully chosen residue coefficients, and proves that their shifted linea…
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This note studies an integral equation on a closed Riemann surface that is analogous to an equation used in Vekua’s theory of generalized analytic functions, but that may possess eigenfunctions. Using properties of an elementary function of the first kind, divisors, and the Riemann Roch theorem, the…
Unknown
This study examines electrochemical factors in stress corrosion cracking, focusing on how anodic dissolution is facilitated at the tip of a growing crack. Using an MA2-1 magnesium alloy in chromate chloride solution, the authors combined automatic potential recording, pulsed anodic polarization with…
D. O. BALADZE
The paper develops homology and cohomology theories for infinite locally finite complexes using chains and cochains defined relative to a pair of coefficient groups, interpolating between the usual theories based on finite and infinite chains. It introduces topologies and compact completions for the…
S. Z. MAKAROV and E. I. SOKOVNIN
This study examines the formation of potassium ozonide during ozonation of potassium hydroxide over a wide temperature range using a fluidized bed to improve gas solid contact and heat transfer. Calcined and hydrated caustic potash were ozonated from approximately minus 65 to plus 60 degrees Celsius…
T. S. Bhanumurthy
This paper computes the Plancherel measure for zonal spherical functions on the Siegel upper half-plane, viewed as the symmetric space associated with the real symplectic group. It describes the relevant Cartan and nilpotent subgroups, derives an integral representation for the spherical functions, …
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This paper examines why standard blackbody radiation laws, including Wien’s and Stefan-Boltzmann’s laws, may fail in flame temperature measurements. It develops a radiative-transfer model for a flame under local instantaneous equilibrium, using the Kirchhoff-Planck relation, the Clapeyron equation, …
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This paper investigates the synthesis of 4-substituted thiosemicarbazides, especially 4,4-di-(beta-hydroxyethyl)-thiosemicarbazide, and their conversion into heterocyclic azoles of potential biological interest. A simplified one-pot procedure using amines, carbon disulfide, sodium chloroacetate, and…
V. A. SHCHEL’NOV
This note studies generally multivalued linear operators between separated locally convex spaces through their graphs, closures, openness, continuity, and adjoints. It establishes criteria relating openness and closedness of an operator to the behavior of its closure, range, kernel, and adjoint, inc…
A. Ya. Gokhshtein, A. N. Frumkin
This paper reports experimental observations of spontaneous current and potential oscillations during reduction of the persulfate anion at mercury electrodes, a system with a falling polarization characteristic but without electrode dissolution or solid phase formation. Using dropping and stationary…
V. L. LEVIN
This note studies nondegenerate inverse and direct spectra of locally convex spaces, with emphasis on relations between a spectrum and its strong dual conjugate spectrum. It proves nondegeneracy results for conjugate spectra under standardness and semireflexivity assumptions, and gives a necessary a…
O. NEILAND, Ya. STRADYŅŠ, and Academician of the Academy of Sciences of the Latvian SSR G. VANAG
The study examines tautomerism and structure in cyclic 2-nitro-1,3-diketones, focusing on 2-nitrodimedone, 2-nitro-5-phenylcyclohexanedione-1,3, their anions, and related model compounds. Using infrared and ultraviolet spectroscopy, polarography, and potentiometric measurements, the authors argue th…
A. V. CHERNAVSKII
This paper proves that every continuous decomposition of an n-dimensional ball into pairs of points has at least one degenerate element when n is at most 3, with the argument given for the three-dimensional ball and applicable to lower dimensions. Assuming a decomposition strictly into two-point ele…
M. M. Koton and T. M. Kiseleva
This paper reports the synthesis and polymerization behavior of unsaturated organomercury compounds containing vinylphenyl groups. Phenyl-p-vinylphenylmercury was prepared from p-vinylphenylmagnesium chloride and phenylmercuric bromide, and was found to polymerize either without initiator or with az…
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This study examines the decomposition of ethyl vinyl ether, isopropyl vinyl ether, and 1,4-dioxane by butyllithium under anhydrous nitrogen conditions. Quantitative argentometric analysis of gaseous products showed formation of acetylene in all cases, with much of it released only after alcohol trea…