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This paper analyzes conditions under which the solubility of one component of a gas mixture in a liquid reaches a maximum as pressure increases. Extending thermodynamic treatment of solubility maxima from binary systems to a ternary system, it derives an equilibrium condition involving partial molar…
Academician of the Academy of Sciences of the BSSR N. N. Sirota and A. A. Tonoyan
This study examines etch figures in silicon single crystals, with emphasis on pits and surface structures associated with dislocations, defects, and growth features. Plates cut mainly near the (111) plane were oriented optically, ground, chemically polished, and etched using acid mixtures or, for lo…
B. A. ARBUZOV, Z. G. ISAEVA, and V. V. RATNER
This study examines the catalytic autoxidation of delta-3-carene with oxygen in the presence of lead acetate or manganese dioxide, addressing conflicting earlier reports that suggested a simple formation of a single hydroperoxide. The authors reduced the autoxidation mixture, fractionated the produc…
F. A. Korolev, A. G. Ershov, and O. F. Kulikov
This paper reports an experimental study of electron oscillations in the S-60 electron synchrotron, motivated by the importance of damping and quantum excitation effects in high-energy cyclic accelerators. The authors photographed the transverse cross section of the electron bunch throughout the acc…
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This paper develops an approximate Green’s function treatment of the isotropic antiferromagnet intended to extend beyond the low-temperature limitations of spin-wave theory and the crudeness of molecular-field theory. The Hamiltonian is transformed from spin to Pauli operators, higher Green’s functi…
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This study examines the adsorption of unsaturated fluorocarbons C2F4 and C3F6 on tungsten tips in an electron projector, with the aim of testing whether molecular image forms are connected with double bonds and pi electron participation rather than with simple molecular geometry or obligatory microt…
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This study examines chemical shifts in F-19 nuclear magnetic resonance spectra as a tool for qualitative and structural analysis of organofluorine compounds. Using a synchronized self-oscillating spectroscope, the author measured spectra for about 100 compounds of known structure relative to CF2Cl2 …
M. D. Dolberg
This note develops a method for constructing resolvents of symmetric real integral kernels by uniformly convergent bilinear series. Starting from a representation of a positive continuous kernel as an integral product, it builds auxiliary functions through Gram determinant formulas and proves unifor…
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The paper investigates the relation between the Routh-Hurwitz stability criterion and determinant criteria arising from Markov’s theory of continued fractions for real characteristic polynomials. By factoring Hurwitz matrices into triangular coefficient matrices and matrices built from Markov parame…
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This paper reexamines the commonly accepted kinetic interpretation that hydrazo compound rearrangements in acidic media proceed through double protonation and a transition state containing two protons. Using product analyses for hydrazobenzene and substituted analogues in alcohol, aqueous acid, and …
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The paper studies approximation of functions with prescribed smoothness on the exterior of an interval and on a half-line, extending earlier results on polynomial and entire-function approximation. It proves a direct theorem for approximation on the set outside the interval by entire functions of bo…
P. P. BUDNIKOV and O. P. MCHEDLOV-PETROSYAN
This paper examines the thermodynamics of kaolinite transformation during heating, an area previously treated mainly from a kinetic perspective. Using available and newly reported thermodynamic data, including heat capacities estimated by additivity, the authors calculate free energy changes for sev…
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Electron paramagnetic resonance was used to study radical states in powdered symmetrical cyanine dyes with varying polymethine chain length, heterocyclic nuclei, and counterions. Measurements at 9 GHz showed that EPR signals appear only above characteristic degrees of conjugation, with singlet lines…
E. P. TRAILINA, V. V. ZELENTSOV, I. A. SAVICH, and Academician Vikt. I. SPITSYN
This paper examines the use of spectrophotometry to determine the molecular weights of poorly soluble inner-complex compounds, for which cryoscopic and ebullioscopic methods may be unsuitable. The method is based on comparing specific absorption coefficients of complexes and their corresponding Mann…
L. A. KHALFIN
This paper derives alternative dispersion relations for forward scattering amplitudes analytic in the upper half-plane by applying the Keldysh and Sedov theorem rather than the usual Cauchy-theorem formulation. It presents general formulas in which the real and imaginary parts of the amplitude are s…
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This note studies a class of binary systematic error detecting and correcting codes obtained by applying Siforov’s greedy construction to words ordered by their natural binary value. It proves that the codes produced by this natural algorithm form groups under componentwise addition modulo 2, derive…
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This paper examines indirect relationships between modern vertical movements of the Earth’s crust and natural geophysical fields, focusing on Bouguer gravity anomalies as mediated by geostructural elements. Using published repeated leveling results and gravimetric data from the Caspian Sea basin and…
S. D. EIDELMAN
This note introduces a class of parabolic systems in which different spatial variables may have different highest differentiation orders, extending Petrovsky parabolic systems as the special case of equal orders. It defines such systems through a spectral negativity condition with generalized homoge…
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Photodisintegration of Ne22 was studied to compare its reaction channels with those previously observed for Ne20 and to assess the effects of two additional neutrons on complex photonuclear processes. Using a Wilson chamber in a 6700 oersted magnetic field irradiated by bremsstrahlung photons up to …
V. V. GOGOSOV
The paper analyzes self-similar motion of a piston in an ideally conducting fluid subjected to a magnetic field of arbitrary strength, with magnetic lines of force perpendicular to the piston plane. It classifies the possible fast and slow magnetohydrodynamic shock and rarefaction waves that can pre…
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This study examines the hydrolytic decomposition of oxidized hard coal during alkaline carboxylation, using a Kaa-Khem coal rich in phenolic and carboxyl groups as the experimental material. Coal was treated repeatedly with aqueous sodium hydroxide under carbon dioxide, then acidified and fractionat…
M. V. FEDORYUK
The paper studies the Green function for the Cauchy problem for Petrovsky-correct equations and systems in two variables, including cases with coefficients depending on time. It derives asymptotic formulas as t tends to zero and x tends to infinity, with corresponding formulas also applying for fixe…
M. B. Kapilevich
The paper studies mixed boundary value and singular Goursat problems for a hyperbolic equation with singular coefficient, depending on two parameters. It derives integral transformation formulas connecting solutions corresponding to different parameter values and different boundary data, including k…
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The paper studies affine connections induced by a principal relative scalar on a locally projective manifold and on its associated centro-projective spaces. It derives the curvature and Ricci tensors of the connection determined by the scalar, then characterizes when the corresponding connection in …
Ya. T. Eidus, B. K. Nefedov, I. P. Yakovlev, and A. V. Lobzova
This study examines whether radicals formed during the destructive hydropolymerization of isobutylene can alkylate cyclohexene under hydrogen over a cobalt clay catalyst. Experiments at 190°C and atmospheric pressure compared cyclohexene with hydrogen, isobutylene with hydrogen, and ternary cyclohex…
N. I. Alekseeva
A. L. LIBERMAN, T. V. VASINA, and B. A. KAZANSKII
This study examines the spatial configuration of stereoisomeric 1,4-diisopropylcyclohexanes, focusing on an apparent violation of the Auwers-Skita rule in which the lower-boiling isomer had previously been assigned the cis structure by Raman spectroscopy. To confirm this assignment synthetically, th…
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This study examines how ash content affects the thermal decomposition and depolymerization of cotton cellulose and hydrate cellulose. Using highly de-ashed samples and measuring volatile products, levoglucosan yields, decomposition rates, and changes in degree of polymerization, the authors compare …
A. N. NESMEYANOV, V. A. SAZONOVA, V. N. DROZD, and L. A. NIKONOVA
This paper investigates 1-(1′-haloferrocenyl)boronic acids as intermediates for preparing heteroannularly substituted ferrocene derivatives. Partial replacement of one boronic acid group in 1,1′-ferrocenylenediboronic acid with chlorine or bromine is achieved using cupric halides in a benzene, water…
Corresponding Member of the USSR Academy of Sciences S. V. VONSOVSKII, A. A. BERDYSHEV,
This paper examines how exchange interaction between conduction electrons and partially localized inner electrons shapes the magnetic excitation spectrum in transition metals. Using an s-d exchange Hamiltonian and the retarded and advanced Green function method, the authors derive distribution funct…
V. M. VAKHNIN and G. A. SKURIDIN
This paper examines whether charged particles can be captured by a magnetic dipole field when small kinetic energy losses, neglected in conservative treatments, are included. Using the equatorial plane of a dipole as a tractable case, the authors derive a phase-plane formulation for particle traject…
D. E. Men’shov
The paper examines summability of orthogonal Fourier series in \(L^2\) by linear methods, motivated by known results that Cesàro summability almost everywhere is characterized by convergence of a dyadic subsequence of partial sums. It asks whether an analogous characterization can hold for arbitrary…
D. N. SHIGORIN, N. A. SHCHEGLOVA, N. S. DOKUNIKHIN, and V. A. PUCHKOV
This paper examines how hydrogen bonds, especially in molecules with pi-electron systems, affect electronic absorption and luminescence spectra. It argues that the hydrogen bond cannot be described only by dipole and acceptor-donor interactions, but in conjugated coplanar systems also includes pi-el…
L. V. OVSYANNIKOV
The paper studies Lie transformation groups preserving a linear second order partial differential equation in more than one independent variable. It derives infinitesimal determining equations, separates the always present subgroup generated by scaling and adding solutions, and shows that, apart fro…
N. V. AGEEV and V. Sh. SHEKHTMAN
This paper examines the nature of sigma phases in binary rhenium alloys with chromium, manganese, and iron, focusing on whether atomic ordering is present and how it relates to electronic structure. X-ray diffraction intensities for annealed single-phase alloys were compared with calculated intensit…
Corresponding Member of the Academy of Sciences of the USSR A. N. BASHKIROV, V. V. KAMZOLKIN,
This study examines the preparation of higher aliphatic ketones by liquid phase dehydrogenation of industrial higher secondary alcohols over a skeletal nickel catalyst. The authors investigated reaction kinetics and the effects of temperature and pressure, finding that dehydrogenation proceeds rapid…
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This paper reports preliminary experiments on how oxidizer particle size affects the layer-by-layer burning rate of heterogeneous solid mixtures based mainly on potassium perchlorate with plastic fuels such as bitumen, tar, and Plexiglas. Burning rates were measured in nitrogen under pressures up to…
V. I. OSHEROV
This paper analyzes the mutual influence of chemisorbed particles on a crystal surface, especially its effect on the dependence of differential heats of adsorption on surface coverage. Using the localized-state method for molecules and crystals, it derives equations for adsorbate and adsorbent elect…
Corresponding Member of the USSR Academy of Sciences I. M. GELFAND and M. I. GRAEV
This note develops the Radon transform of rapidly decreasing functions on real and complex affine spaces, emphasizing its geometric role and its usefulness beyond the ordinary Fourier transform. It states inversion formulas, including a complex case formula involving integration over representatives…
L. A. ROTT
This paper examines relaxation processes in the critical region of demixing in binary liquid systems, where diffusion slows as the derivative of chemical potential with respect to composition vanishes. Using Onsager’s hypothesis, thermodynamic expansion near the critical point, diffusion equations, …
Corresponding Member of the USSR Academy of Sciences G. A. RAZUVAEV, B. G. ZATEEV, and G. G. PETUKHOV
The paper examines the origin of minor polyphenyl byproducts formed during the reaction of benzoyl peroxide with benzene, focusing on discrepancies between predicted and observed isotopic compositions of diphenyl, terphenyl, and quaterphenyl. Using radiocarbon-labeled benzene, benzoyl peroxide, diph…
Unknown
This study examines allylic bromination with N-bromosuccinimide in several cyclohexene derivatives accessible from diene condensation, with attention to subsequent dehydrobromination and functional substitution. Bromination of an unsaturated cyclohexene aldehyde gave an unstable bromoaldehyde whose …
R. G. GLUSHKOV and O. Yu. MAGIDSON
This paper reports the synthesis of selected 8,9-pentamethylenepurines as structural analogues of biologically important purines such as adenine, guanine, kinetin, and 6-mercaptopurine. After unsuccessful attempts to condense uramil with O-methylcaprolactim, the authors developed a route based on co…
M. I. KARGAPOLOV, Yu. I. MERZLYAKOV, and V. N. REMESLENNIKOV
The paper develops a method for embedding groups into complete groups, where every equation of the form x^n = g is solvable, while preserving selected structural properties. Using diagonal embeddings into transformation groups and adjoining roots of chosen elements, it proves that any group can be e…
Unknown
The paper examines confinement, compression, and heating of a toroidal plasma discharge in a rapidly varying longitudinal magnetic field, including regimes where the internal and external longitudinal fields have the same or opposite directions. Simple balance and induction arguments are used to est…
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Paramagnetic resonance was measured at 36,000 MHz and room temperature in single crystals and polycrystalline samples of alpha,alpha-diphenyl-beta-picrylhydrazyl crystallized from benzene, chloroform, carbon disulfide, and carbon tetrachloride. Using an axial spin Hamiltonian, the study compares g-f…
Ya. V. Petrov, A. I. Zaitsev
This paper examines the supply of three-phase electric motors from a static ferromagnetic frequency tripler using two groups of single-phase saturated transformers and longitudinal capacitive compensation. It derives relations for the equivalent inductive reactance of the tripler, gives practical fo…
Ya. M. Paushkin, A. V. Topchiev, and M. V. Kurashev
This study compares homogeneous acid catalysts and oxide heterogeneous catalysts for alkylating phenol with isobutylene, chiefly to form p-tert-butylphenol. Experiments at atmospheric pressure used a phenol to isobutylene molar ratio of 1:1, with product distributions and catalyst performance measur…
B. M. TITOV
This paper addresses reliable priming methods for mine drainage pumps, especially where recessed pump chambers are unavailable or impractical. It compares existing approaches, including recessed chambers, service tanks with hydraulic regulators, siphon priming, accumulator tanks, discharge-pipeline …
I. G. Galeev
This paper evaluates the deficiencies of PMV-type explosion-proof magnetic starters used for remote and automatic control of electric motors in underground mobile mining machines. It argues that persistent problems, including excessive size and weight, inconvenient housings and cable entries, unreli…