S. T. IOFFE, E. M. POPOV, K. V. VATSuro, E. K. TULIKOVA, and M. I. KABACHNIK
The study examines keto, cis-enol, and trans-enol equilibria in a series of 3-alkylacetylacetones with primary, secondary, and cyclic substituents in different solvents. Bromometric titration, copper acetate tests, infrared spectra, and ultraviolet spectra are used to distinguish tautomeric forms an…
V. I. GOL’DANSKII
This paper examines delayed proton emission following positron beta decay in neutron-deficient light and medium nuclei, a phenomenon for which prior discussions lacked systematic estimates of occurrence, candidate isotopes, and delay times. Using mass estimates for neutron-deficient nuclei, mirror-n…
E. V. PANOV
This paper addresses the difficulty of determining the actual capacitance of the electrical double layer in molten electrolytes from impedance measurements, where simple series or parallel equivalent circuits can give misleading component values. The authors propose treating the cell by a more gener…
N. N. KUZIN, A. A. SEMERCHAN, L. F. VERESHCHAGIN, L. N. DROZDOVA
The study examines the temperature dependence of the electrical resistance of iodine under high pressures in order to estimate how its semiconductor band gap changes with compression. Electrical resistance was measured for chemically pure iodine from 20 to 135 degrees Celsius at pressures between 30…
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The paper proves a multidimensional analogue of the mean value theorem motivated by questions in partial differential equations. For a twice continuously differentiable function of oscillation less than one on a bounded domain of measure less than one crossing a strip, it establishes the existence o…
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This study determines orientational and dipole relaxation times for a homologous series of nine normal bromides, from ethyl to decyl bromide, using a spectroscopic light scattering method based on broadening of the anisotropic component of the mercury 4358 Å line. Measurements on purified sealed sam…
N. A. CHERNIKOV
This paper derives expressions for the particle flux vector and mass tensor of a relativistic ideal multicomponent gas in an arbitrary Einstein gravitational field in terms of the gas distribution functions. Using the previously established kinetic equation, it proves that the divergence of each spe…
N. F. KOMISSARENKO
This paper examines the cardiac glycoside composition of lily of the valley seeds and reports the isolation of a previously undescribed glycoside, named convallatoxoloside. Alcoholic extraction, solvent partitioning, paper and column chromatography, crystallization, acid and enzymatic hydrolysis, op…
V. A. Kozmidiadi
This note develops analogues of enumerable and decidable sets, and of decidable predicates, using finite automata with outputs over a word semigroup rather than partial recursive functions. It distinguishes finite enumerability from strong enumerability, gives examples showing that these notions div…
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This study examines the regioselective addition of methyldichlorosilane to mono- and symmetrically disubstituted allene hydrocarbons in the presence of chloroplatinic acid. The resulting chlorosilane adducts were methylated and characterized by infrared spectroscopy, hydrogenation to known saturated…
M. A. PORAI-KOSHITS, A. S. ANTSYSHKINA
This paper reports preliminary X-ray structural data for rhodium acetate, a lower-valence rhodium carboxylate whose formulation had been uncertain. From monoclinic cell parameters, Patterson projections, and electron-density projections, the authors identify a dimeric complex isostructural with copp…
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This note studies the Dirichlet problem for a class of second order linear elliptic systems with constant real matrix coefficients, in the case where the characteristic equation has one conjugate pair of roots of multiplicity equal to the number of equations. Using the known representation of regula…
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This study examines low molecular products formed during the thermal polymerization of cyclohexadiene-1,3, with attention to compounds containing an odd number of monomer units. Spectrophotometric analysis of residual monomeric products identified benzene after polymerization at higher temperatures,…
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This paper develops a finite-temperature treatment of a nonideal Bose gas with pair interactions, extending Bogolyubov’s zero-temperature theory by using two-time temperature Green functions. After separating the condensate through a c-number shift, the author derives matrix equations of motion, int…
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This study examines how the structure of the electrical double layer affects electrochemical desorption of adsorbed hydrogen on iron electrodes in sulfuric acid. Using the decrease in hydrogen overvoltage caused by atomic hydrogen diffusing through the electrode as an indicator of desorption rate, t…
A. V. NOVOSELOVA
The germanium selenium system was examined by differential thermal analysis and powder X-ray phase analysis using alloys prepared from elemental germanium and selenium in sealed ampoules. The resulting phase diagram identifies two compounds, GeSe and GeSe2: GeSe decomposes peritectically at 670 °C, …
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This note studies when the norm of a Fourier transform over a measurable subset is equivalent to the natural \(L_2\) norm for transforms of functions supported in a bounded set. It formulates the problem in terms of a positive self-adjoint operator associated with the excluded frequency set, introdu…
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The paper examines heterotripolyhalides of alkali metals as compounds suitable for separating closely related alkali elements, especially removing potassium from rubidium salts and rubidium from cesium salts. It argues that differences in ionic polarizability can suppress isomorphous cocrystallizati…
Nik. A. NESMEYANOV and Corresponding Member of the Academy of Sciences of the USSR O. A. REUTOV
This paper examines the mechanism of bimolecular electrophilic substitution at a saturated carbon atom in organomercury compounds, focusing on whether such reactions require complex transition states proposed in prior work. The authors review kinetic and stereochemical arguments for a cyclic four-me…
M. I. KABACHNIK and E. N. TSVETKOV
The paper investigates the previously little studied reactivity of tri(chloromethyl)phosphine, focusing on its alcoholysis and acid-induced transformations. Experiments with sodium ethoxide in ethanol show that the reaction does not give the expected tris(alkoxymethyl)phosphine, but instead produces…
V. I. Tsirel’nikov, L. N. Komissarova, and Academician Vikt. I. Spitsyn
This paper investigates the vapor density of hafnium tetrachloride at elevated temperatures and varying pressures, addressing a lack of data needed for calculations of gas-phase zirconium and hafnium tetrachloride separation processes. Hafnium tetrachloride labeled with Hf-181 was purified and studi…
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The paper gives intrinsic semigroup-theoretic characterizations of semigroups associated with a simple arc, chiefly the topological semigroup of all continuous self-transformations and the semigroup of homeomorphisms into the arc. It introduces inner topologies on minimal two-sided ideals, shows tha…
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This paper examines crystallization in natural rubber and its effect on thermomechanical behavior over temperature ranges where crystalline phases form and melt. Using thermomechanical curves recorded under constant and periodically varied loads, the authors compare rubber crystallized by storage at…
S. N. SLUGIN
The paper extends earlier constructions of modules over a real K-space with unit to a complex partially ordered setting. It defines a complex partially ordered space V equals Z squared, develops its algebraic operations, modulus, conjugation, disjointness, traces, inverses, quotients, and convergenc…
O. S. BERLYAND, I. M. NAZAROV, A. Ya. PRESSMAN
The paper introduces the i^n erfc, or complex Gauss-Poisson, distribution for counts governed by a Poisson law whose parameter is a random variable with a normal distribution truncated at zero. It derives an integral and special-function representation for the probabilities and obtains formulas for …
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This study investigates the angular distribution of fast particles reflected from metallic and graphite surfaces under grazing irradiation by 30 keV singly charged argon ions. Using a Faraday-type detector capable of measuring both reflected ions and neutralized fast particles through secondary-elec…
L. P. RAPOPORT and A. G. KRYLOVETSKII
This paper derives generalized microscopic equations for superconductivity in an inhomogeneous fermion superfluid at arbitrary temperature, allowing the superconducting energy gap to depend on position as well as temperature. Starting from temperature Green function equations with an external vector…
A. G. PRUDNIKOV and V. N. SAGALOVICH
This paper develops a statistical description of turbulent mixing in a nonisothermal axisymmetric jet issuing into a coflowing stream. Using conservation of volume and momentum, a generalized Taylor diffusion relation, and a working hypothesis of equal mean velocities for the intermingled media, the…
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This paper extends Sobolev and Nikol’skii type embedding theorems to function classes with weighted integral norms and anisotropic smoothness in several variables. Using results on best approximation by entire functions of finite degree in weighted norms, it formulates embeddings for classes with ge…
V. K. Mel'nikov
This paper examines the behavior of magnetic field lines in fields close to symmetric configurations, a problem relevant to approximate descriptions of plasma motion. It argues that replacing the exact field line equations by averaged equations can give a qualitatively incorrect boundary between reg…
A. L. BUCHACHENKO, M. S. KHLOPLYANKINA, M. B. NEIMAN
This study examines intermediate radical formation during the inhibited oxidation of isotactic polypropylene, with the aim of clarifying inhibitor action in chain, degenerately branched oxidation processes. Electron paramagnetic resonance was used to identify and follow radicals formed from several …
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This paper studies boundary-value problems for quasilinear elliptic equations with divergent principal part under boundary conditions generalizing the second and third problems, and extends analogous questions to quasilinear elliptic systems. It establishes a priori boundary estimates, including Höl…
B. R. VAINBERG
The paper studies existence and uniqueness for an elliptic constant coefficient equation in the whole plane, focusing on the operator whose characteristic polynomial is \(s_1^{2n}+s_2^{2n}-k^{2n}\). It constructs two special fundamental solutions by contour integrals over suitable manifolds and rela…
G. L. Vidovich, D. I. Leikis, B. N. Kabanov
This study examines the two successive retardations observed during anodic oxidation of silver to silver oxide in alkaline solution under potentiostatic conditions. Using overvoltage measurements and alternating-current impedance analysis, the authors distinguish an initial diffusion limitation asso…
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This paper develops a method for deriving asymptotics of solutions of nonlinear differential systems near points with zero or infinite coordinates, especially for solutions approaching with a definite tangent direction. It introduces orders of functions and vector-functions, defines truncations by r…
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This paper examines high-temperature thermal cracking of methane under strongly nonisothermal conditions, where reaction rates and temperature change rapidly and conventional isothermal kinetic treatment is impractical. Using rapid adiabatic compression and expansion of methane mixtures with argon a…
R. F. Vasil’ev
This paper examines how chemiluminescence kinetics can be used to study radical processes in liquid phase hydrocarbon oxidation. Using initiated oxidation of ethylbenzene in the presence or absence of oxygen and inhibitors, it relates abrupt changes in emission intensity to transitions between stati…
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This study examines the structure of the secondary photoreduced form of pheophytin a, a metal-free analogue of chlorophyll, in order to clarify where hydrogen atoms are added during reversible photochemical reduction. Pheophytin a was photoreduced in pyridine solution with hydrogen sulfide under vac…
PYOTR VOPENKA
The paper presents a method for constructing models of Bernays-Gödel axiomatic set theory using functions on an infinite set modulo a maximal ideal. It defines equivalence classes of suitably bounded functions, introduces membership and class notions for the resulting structure, and states that the …
S. A. ARZHAKOV, E. E. RYLOV, G. L. SLONIMSKII, and B. P. SHTARKMAN
The paper examines how transparent monolithic solids form when powdered polymethyl methacrylate is pressed under elevated temperature and pressure, focusing on whether stress relaxation is governed by thermal degradation. The authors compare transparency loss after annealing, molecular weight change…
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This study addresses the unresolved position of carbon atoms in the crystal structure of cementite, Fe3C, using electron diffraction of cementite particles isolated from annealed carbon steel by anodic dissolution. Ring and spot electron diffraction patterns were measured, indexed for an orthorhombi…
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This note studies the asymptotic distribution of special absolutely abelian fields, specifically composites of two cyclic fields of prime degree in which at least one component has a prescribed number of critical prime divisors. Using Dirichlet series with a parameter, Euler products over primes in …
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The study investigates the alkenylation and haloalkylation of benzene with allyl chloride and allyl bromide using a boron fluoride, orthophosphoric acid catalyst complex under varied molar ratios, catalyst amounts, and temperatures. Reaction products were separated by vacuum distillation and charact…
B. M. BREDIKHIN
This note studies binary additive problems involving primes of the form p minus a binary quadratic expression equal to a fixed nonzero integer. Using Linnik’s dispersion method, strengthened by covariance and coherent numbers, together with Hooley’s results on almost-primes in arithmetic progression…
A. N. Nesmeyanov, V. A. Sazonova, A. V. Gerasimenko
This study examines the introduction of ferrocenyl groups into pyridine and the preparation of pyridyl-substituted ferrocenes. Heating ferrocenylenediboronic acid with cupric carbonate in pyridine gave only small amounts of alpha-pyridylferrocene, whereas reaction of a mixture of ferrocenyl lithium …
Yu. A. LUKYANYCHEV, N. S. NIKOLAEV, I. I. ASTAKHOV,
This study examines the high-temperature fluorination of compact copper in fluorine at atmospheric pressure, focusing on film growth, phase formation, and reaction mechanism over 300 to 600°C. Copper plates were fluorinated in a dynamic nickel reactor, with film growth measured gravimetrically and f…
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The paper addresses the recovery of a true angular radiation intensity distribution from measurements made with a wide-angle receiver, where the observed brightness is smoothed by the receiver’s angular sensitivity. It formulates the measurement as an integral equation relating the measured field, t…
V. G. VIZING
This paper studies transformations that preserve the value of flows in finite transport networks and applies them to graph theoretic problems. It proves that a flow has a distinct equivalent flow precisely when an admissible cycle exists, and shows that any two equivalent flows can be connected thro…
N. A. Kosareva