N. A. CHUMAEVSKII
The paper examines vibrational spectra of several tetravalent organotin compounds, including alkyl, vinyl, and allyl derivatives, with comparison to related silicon, germanium, and lead compounds. Infrared absorption spectra were measured across 400 to 3000 cm−1 and Raman spectra were recorded photo…
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This study extends earlier work on the reaction of methylated 1,6-anhydroaldohexoses with metallic sodium in liquid ammonia to derivatives of D-gulose and D-idose. The authors synthesize 1,6-anhydrogulopyranose and 1,6-anhydroidopyranose from prepared sugar precursors, convert them to the previously…
A. A. BARMIN
This paper analyzes discontinuity surfaces in ideal magnetohydrodynamics when chemical or formation energy is released or absorbed in an electrically conducting medium of infinite conductivity and arbitrary magnetic-field orientation. Using jump conditions expressed through normalized velocities, pr…
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This paper develops conditions for smoothness of functions of several variables and estimates for convolution operators in translation-invariant norms. The method is based on elementary algebraic identities that yield operator inequalities for finite differences with different steps and orders, lead…
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This note studies projections in a Hilbert space relative to a continuous bilinear metric defined by a bounded Gram operator, allowing the form to be non-Hermitian. It derives an operator formula for the generally multivalued projector onto a linear manifold in terms of an operator whose range is th…
I. V. SMIRNOVA, A. A. KUBASOV, and K. V. TOPCHIEVA
This study examines the energetic properties of adsorption on activated aluminum oxide by measuring heats of wetting for benzene, cyclohexane, cyclohexene, and their solutions in n-heptane at 20 degrees C. Using calorimetry and comparison with independently measured adsorption isotherms, the authors…
Corresponding Member of the Academy of Sciences of the USSR I. E. Starik, I. A. Skul’skii,
This study examines how first-group chloride cations influence zirconium chloride complex formation and the adsorption of zirconium-95 on the nonionogenic surface of fluoroplastic-4. Using spectrophotometric measurements of equilibrium zirconium oxychloride solutions in hydrochloric acid and in LiCl…
Corresponding Member of the USSR Academy of Sciences I. P. Alimarin, O. M. Petrukhin,
This paper addresses the analytical separation of niobium and tantalum, a difficult problem because of their closely similar chemical behavior. The authors investigate extraction of niobium as its N-benzoylphenylhydroxylaminate complex into chloroform from tartaric acid solutions, using radioactive …
Corresponding Member of the Academy of Sciences of the USSR R. Kh. FREIDLINA, V. N. KOST, T. T. VASIL’EVA,
This study examines the radical transformations of 1-fluoro-1,1-dichloro-2-bromopropene as a fluorinated analogue of previously studied trichlorobromopropenes. Through thermal reactions, ultraviolet irradiation, peroxide initiation, inhibition by hydroquinone, and trapping with hydrogen bromide, the…
A. N. NESMEYANOV, N. S. KOCHETKOVA, and R. B. MATERIKOVA
This paper reports the preparation and characterization of monoacetyl and diacetyl derivatives of pentaethanodiferrocene, obtained by acylation with acetic anhydride in phosphoric acid or acetyl chloride in the presence of aluminum chloride. The authors also refine the workup of the ferrocene and 1,…
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G. A. Serebrennikova, T. K. Mitrofanova, A. A. Kraevskii,
This paper reports the synthesis of triglycerides corresponding to the proposed glyceride composition of soybean oil, taking account of positional isomers formed from linolenic, linoleic, oleic, stearic, and palmitic acid residues. Starting from isopropylideneglycerol, the authors prepared alpha-mon…
Corresponding Member of the Academy of Sciences of the USSR M. A. Styrikovich, Z. L. Miropolsky,
This study examines how longitudinally nonuniform heating of a tube affects the onset of boiling crisis and the magnitude of critical heat fluxes in highly loaded heat-exchange channels. Experiments were carried out in a 160 mm vertical stainless-steel tube with upward flow of water or steam-water m…
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This paper reports the synthesis of a series of acetylenic organosilicon hydrocarbons and derivatives based on reactions of silylacetylene Grignard reagents. Alkyl and alkylaryl silylacetylenes were prepared from ethynylmagnesium bromide and organobromosilanes, then converted by reaction with bromin…
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This paper analyzes the conditions under which the reciprocity law holds for photoelectrets, meaning that the volume charge formed during polarization or removed during depolarization depends only on exposure and not separately on light intensity and illumination time. Using kinetic equations for mo…
G. Kh. Kamai, E. I. Klabunovskii, Yu. F. Gatilov, and G. S. Khodakov
This study examines the resolution of racemic quaternary arsonium compounds by asymmetric adsorption on natural dissymmetric adsorbents, as an alternative to the more laborious classical method involving diastereoisomer formation and decomposition. Ethyl-n-amylphenylbenzylarsonium bromide was passed…
A. V. KISELEV and D. P. POSHKUS
A statistical thermodynamic calculation is developed for the change in chemical potential of benzene transferred from the gas phase to the basal surface of graphite at low surface coverage. The adsorbed molecule is treated as a polyatomic rotor and vibrator, with the adsorption potential obtained by…
V. G. BOLTYANSKII
The paper addresses the time-optimal control of a linear dynamical system whose control values lie in a closed bounded convex polyhedron, under a general-position condition previously used in Pontryagin-type optimal control results. It recalls that optimal controls are extremal and then gives a cons…
V. E. NEUVAZHAEV
This paper studies the self-similar outflow of an ideal gas into a vacuum when energy is released per unit mass according to a power law in time. The gas-dynamic equations in Lagrangian coordinates are reduced to a system of ordinary differential equations with boundary conditions at two nonisolated…
V. N. SHUBIN and P. I. DOLIN
Gamma radiolysis of perchloric acid solutions containing ferrous and ferric ions, hydrogen, and oxygen under pressure was studied to test competing reaction mechanisms for the transformations of iron ions. The authors varied concentrations of oxygen, hydrogen, ferric and ferrous ions, and hydrogen i…
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Nickel oxide samples prepared by calcining nickel carbonate at 500 to 900 degrees were examined to relate superstoichiometric oxygen content to catalytic, adsorption, and electrical properties. The study measured specific surface area, excess oxygen, electrical conductivity, activation energies, car…
A. K. ZEFIROVA and A. E. SHILOV
This study examines the kinetics and mechanism of reactions between dicyclopentadienyltitanium dichloride and several aluminum alkyls, motivated by the transient formation of highly active ethylene polymerization species during titanium reduction. Experiments with triethylaluminum, trimethylaluminum…
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This note studies how the spectrum of a semibounded singular elliptic operator is affected by changes in the boundary, boundary conditions, and, locally, the coefficients of the differential expression. Using extension theory for semibounded operators, it proves compactness of differences of inverse…
Yu. F. KOROBEINIK
The paper studies analytic solutions of the partial differential equation \(\partial^r u/\partial x^r = a y^m \partial^n u/\partial y^n\), where \(m<n\), and derives a series representation in terms of prescribed derivatives at \(y=0\). This representation yields necessary and sufficient growth cond…
B. A. Arbuzov, A. N. Tavkhelidze, and R. N. Faustov
The paper examines whether finite fermion masses can arise dynamically in gamma5-invariant quantum field models, despite vanishing mass corrections in ordinary perturbation theory. Using Bogolyubov’s idea of removing degeneracy, the authors introduce infinitesimal symmetry-breaking terms and formula…
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This paper reports an experimentally observed negative photoconductivity effect in semiconductors placed in a transverse magnetic field, illustrated with pulse measurements on p-type germanium at low temperature. The authors argue that illumination creates nonequilibrium electron-hole pairs that can…
L. I. KAMYNIN
This paper proves existence results for the first, second, and third boundary value problems for one dimensional linear parabolic equations with discontinuous coefficients. The discontinuities occur across moving lines whose regularity is assumed only to be Hölder with exponent greater than one half…
P. L. ULYANOV
This paper studies divergence and non-summability phenomena for Fourier series in \(L^p\) classes under rearrangement, in relation to longstanding questions about trigonometric series, Walsh series, Haar series, and general orthonormal systems. Building on Kolmogorov, Menshov, and Zagorskii, and usi…
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This paper develops an analytical treatment of nonstationary physicochemical processes in a flowing medium when the process rate follows a bimolecular law, with sorption and ion exchange used as principal examples. Starting from a material balance for a sorbent-filled tube with negligible longitudin…
S. A. FEDULOV
This paper estimates the Curie temperature of ferroelectric bismuth ferrite, whose high conductivity prevents direct determination by dielectric measurements at elevated temperatures. High-temperature X-ray studies of bismuth ferrite showed persistence of the rhombohedrally distorted perovskite phas…
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This note addresses the problem of describing almost homogeneous, almost additive functionals of a multidimensional Wiener process, focusing on functionals with zero mathematical expectation. It proves that, under a square integrability and small time continuity condition in the presented proof, eve…
V. A. YAKUBOVICH
The paper studies complex canonical systems with periodic Hermitian coefficients and a fixed nonsingular skew-Hermitian matrix, viewed as a Banach space mapped to the group of J-unitary monodromy matrices and then to spectra with Krein type distinguished. It introduces argument functions and integer…
F. I. VILESOV
This paper investigates the kinetic energy distributions of photoelectrons emitted from chromium oxide, nickel monoxide, and zinc oxide surfaces under ultraviolet irradiation. Using a retarding-field method in a spherical condenser, the study compares samples prepared by several methods and interpre…
A. ZARELUA
The paper studies dimension inequalities for normal spaces and closed mappings in the setting of generalized paracompactness. It extends the sum theorem for covering dimension to point-finite open covers and proves a Hurewicz type dimension-lowering theorem in Morita’s form, giving an inequality for…
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This note addresses a problem posed by P. S. Aleksandrov, whether every n-dimensional bicompactum contains a continuum of type Vn, a strengthened form of an n-dimensional Cantor manifold. Using Aleksandrov, Cech cohomology, the paper introduces local notions of n-dimensional obstacles and basic poin…
Academician of the Academy of Sciences of the Ukrainian SSR A. P. KOMAR, A. A. VOROB'EV, and V. A. KOROLEV
This paper reports an experimental measurement of fluctuations in the number of ion pairs produced by alpha particles in argon, a quantity that limits the resolving power of ionization spectrometry and is commonly described by Fano’s theory. Using a gridded pulsed ionization chamber filled with high…
A. Ya. STRAKOV, O. Ya. NEILAND, E. Yu. GUDRINIETSE
This study examines the sulfonation of 2-veratryl- and 2-piperonylindandione-1,3 as part of broader work on 2-monosubstituted indandione-1,3 derivatives. Using dioxane sulfur trioxide, concentrated sulfuric acid with acetic anhydride, and chlorosulfonic acid, the authors found that sulfonation gives…
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This paper classifies nonsymmetric homogeneous Riemannian spaces with irreducible rotation group in the case where the transitive motion group is simple of type A, locally isomorphic to SU(N). The argument reduces the geometric problem to a representation-theoretic condition on embeddings of compact…
V. F. Kucherov, E. P. Serebryakov, and R. E. Valter
The study examines the structural and stereochemical course of the Diels-Alder condensation of 1-vinylcyclopentene with methyl acrylate, in comparison with the more selective reaction of the corresponding cyclohexene derivative. The authors isolated and characterized several adduct-derived acids and…
N. V. MARCHENKO
This note studies nonlinear integral equations of the form in which an unknown function equals an integral whose kernel depends on the unknown function. Using approximation by stepwise kernels and compactness ideas related to the Leray-Schauder method, it establishes sufficient conditions for M-solv…
E. N. Prilezhaeva, L. V. Tsymbal
This study compares the dienophilic reactivity of vinyl ethyl sulfide, sulfoxide, and sulfone toward cyclopentadiene and hexachlorocyclopentadiene under broadly comparable Diels-Alder conditions. The authors show that the reactivity order depends on the polarity relationship between diene and dienop…
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This paper examines why the normal burning velocity of condensed mixtures with relatively large particles becomes only weakly dependent on particle size. It argues that, when gasification precedes the main mixing of components, the irregular particle structure can generate localized convective mixin…
St. G. Khristov
This paper examines when quantum tunneling makes a significant contribution to chemical reaction rates, especially in the experimentally accessible region of moderate temperatures. By comparing the probabilities of passage through and over a potential barrier, the author derives criteria for a chara…
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This note studies inconsistent finite systems of linear inequalities by approximating them with consistent perturbed systems and introduces the defect as the minimal uniform relaxation needed for consistency. It derives formulas for the defect of rank r subsystems consisting of r+1 inequalities usin…
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This paper treats radiation diffusion in a semi-infinite plane-parallel medium bounded by a specularly reflecting surface whose internal reflection coefficient depends on the angle of incidence. The author generalizes an earlier integral equation for total internal reflection, introduces a paired au…
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This study examines the formation of secondary polynuclear aromatic structures in lignin during acid hydrolysis and condensation treatment. Spruce and industrial pine lignins were prepared under varying sulfuric acid concentrations and temperatures, then oxidized with alkaline permanganate or nitric…
A. A. Arest-Yakubovich, A. R. Gantmakher, and S. S. Medvedev
This paper examines whether aromatic hydrocarbons participate only in initiation or also in chain growth during anionic polymerization initiated by sodium aromatic complexes in tetrahydrofuran. Kinetic measurements and electronic absorption spectra are used to study styrene and butadiene polymerizat…
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This note studies the fundamental equations for surfaces of negative Gaussian curvature in asymptotic parameters, extending the classical sine-Gordon type equation for constant negative curvature to the case of variable curvature. Using the Peterson-Codazzi equations, formulas for geodesic curvature…
Yu. A. Aleksandrov, T. G. Brilkina, and V. A. Shushunov
This paper investigates triethyllead oxide as an intermediate in the oxidation of hexaethyllead and as a previously unisolated organolead oxide. The authors synthesize triethyllead oxide from triethyllead monohydroxide and metallic sodium in dry benzene, characterize it by lead content and molecular…