K. A. ANDRIANOV, A. A. ZHDANOV, and V. A. ODINETS
This paper examines the chloromethylation of benzyldimethylchlorosilane as a route to chloromethylbenzyldimethylchlorosilane and related organosilicon derivatives. The authors show that the reaction proceeds effectively in fuming hydrochloric acid with paraformaldehyde and without a catalyst, while …

This paper addresses extremal control for plants in which inertia follows a nonlinear extremal element, a configuration that slows search, causes hunting, and can make ordinary extremal controllers unsuitable for oscillatory or unstable objects. It proposes controlling the search by using functions …
Z. N. Parnes, V.-Zh. Zdanovich
The study examines how substituent effects are transmitted through different conjugated systems by measuring the rate of isotopic hydrogen exchange at the methyl group of para-substituted benzalacetophenones and 4'-acetyldiphenyls. Rate constants were determined in deuteroethanol with sodium ethoxid…
M. A. Kraplin
The paper studies nonhomogeneous systems of linear difference equations whose coefficients depend linearly on the complex variable, extending earlier results for single equations and constant coefficient cases. Under nondegeneracy assumptions on the leading determinant matrices and a condition exclu…
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This paper proves a version of Liouville’s theorem for conformal mappings in Euclidean space of dimension at least three without assuming differentiability in the definition of the mapping. Conformality is formulated topologically through the behavior of regular families of neighborhoods, and the pr…
E. M. BAZELYAN, E. N. BRAGO, and I. S. STEKOLNIKOV
This paper investigates how the shape and rise time of an applied voltage wave affect spark breakdown in long rod to plane air gaps. Experiments with gaps of 1 to 3.75 m under oblique front voltage waves measured breakdown voltage as a function of discharge time, showing pronounced minima at about 1…
M. A. Evgrafov, I. A. Chegis
This paper extends the Phragmén-Lindelöf type uniqueness principle from analytic functions to harmonic functions in three-dimensional domains, specifically an infinite circular cylinder and a circular cone. The authors prove that a harmonic function satisfying zero Dirichlet data and bounded normal …
L. A. KHALFIN
This paper studies how the quantum decay law of an unstable physical system constrains, and is constrained by, the energy distribution when that distribution has a finite first moment. Using analyticity, positive definiteness, Carleman’s theorem, and Paley-Wiener type conditions, it derives a relati…
M. B. KAPILEVICH
This paper studies connection formulas for singular Tricomi boundary value problems for the Euler-Poisson equation in a wedge-type domain, with parameter-dependent boundary conditions on characteristic half-lines. It derives integral transformations relating solutions with different parameter values…
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This study uses oxygen-18 labeling to examine the mechanism of the anthranilic rearrangement, focusing on whether the carboxyl oxygen atoms in anthranilic acid derive from the nitro compound or from aqueous alkali. Reactions of o-nitrotoluene and the potassium salt of o-nitrotoluene-p-sulfonic acid …
S. G. MAIRANOVSKII, V. A. PONOMARENKO, N. V. BARASHKOVA
This study examines the polarographic behavior of several iodomethyltrialkylsilanes and iodomethyldimethylphenylsilane in aqueous ethanol, comparing them with primary iodoalkanes to assess the influence of silyl substituents on electrochemical cleavage of the adjacent C-I bond. The compounds gave ir…
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This study refines the crystal structure of magnetite using electron diffraction from thin polycrystalline Fe₃O₄ layers prepared by annealing evaporated iron films. Intensities from 74 diffraction lines, corresponding to 153 reflections, were measured photometrically and compared with calculated str…
I. Ya. POSTOVSKII, N. F. KAZARINOVA, G. B. AFANAS’EVA, and N. I. LATOSH
The paper reports the synthesis of new beta-aminoethyl esters of dithiocarbamic acids, motivated by structural analogy to beta-aminoethylisothiuronium bromide and by interest in physiologically active quinone derivatives. Beta-chloroethylamine was reacted with sodium salts of diethyl-, tetramethylen…
A. K. Zefirova, N. N. Tikhomirova, A. E. Shilov
The study examines products formed by reactions of aluminum alkyls and aryls with dicyclopentadienyltitanium(IV) halides, using electron paramagnetic resonance spectra as the principal structural probe. Variation of the aluminum to titanium ratio showed distinct spectral transitions for hydride-cont…
S. N. SHIMANOV
This note studies almost periodic oscillations in quasilinear systems with time lag and a small parameter in the degenerate case, where the characteristic equation of the unperturbed linear system has critical purely imaginary or zero roots while the remaining roots lie in the left half-plane. Using…
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The paper studies approximation of periodic functions of several variables whose mixed derivatives of prescribed integer orders are uniformly bounded. Using the zeta function of an associated differential operator, its functional equation, and contour integral representations, it constructs trigonom…
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The paper studies functional equations of Riemann type for pairs of functions represented by general Dirichlet series, extending earlier work of Hamburger, Bochner, Chandrasekharan, and Mandelbrojt by allowing polynomial factors in the gamma-normalized equation. It defines solutions associated with …
O. A. REUTOV and I. P. BELETSKAYA
This paper examines the mechanism of bimolecular electrophilic substitution at a saturated carbon atom using the symmetrization and isotopic exchange reactions of alpha-bromomercuriphenylacetic acid esters as model systems. On the basis of kinetic and stereochemical evidence, the authors argue for a…
B. A. KAZANSKII, A. L. LIBERMAN, and N. I. TYUN’KINA
This study examines whether stereoisomeric 1,4-di-tert-butylcyclohexanes conform to the Auwers-Skita rule, which relates physical constants to cis and trans configurations in cyclic compounds. The authors synthesized 1,4-di-tert-butylbenzene, hydrogenated it over Raney nickel, separated the resultin…
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This note characterizes weakly countable-dimensional compacta, defined as compact spaces that are countable unions of closed finite-dimensional subsets, in terms of inverse limits of polyhedra. Extending Freudenthal’s representation theorem, it proves that such a compactum is precisely an inverse li…
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Radiothermoluminescence was investigated in irradiated organic compounds, with emphasis on polymers and hydrocarbons, to assess whether glow curves reflect structural transitions. Samples were irradiated at about 100 K with 1.5 MeV electrons, stored in liquid nitrogen, and heated at a constant rate …
V. E. KAZARINOV and N. A. BALASHOVA
This study investigates iodine adsorption on smooth platinum from acidic and alkaline iodide solutions, and its desorption under varied electrochemical conditions, using tracer atoms with purified iodine isotopes and radioactive platinum. The authors show that commercial carrier-free iodine isotope …
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The study examines the reaction of dialkylphosphorous acids with p-benzoquinone and alpha-naphthoquinone, motivated by interest in organophosphorus compounds that might combine lubricant additive properties with antioxidant functionality. Using equimolar reactants in the presence of sodium alcoholat…
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This paper reports a spectroscopic investigation of hypersonic propagation in highly viscous liquids during transition toward the glassy state, focusing on triacetin and extending earlier measurements for glycerin. Using Mandelstam-Brillouin components of the Rayleigh line in a Fabry-Perot setup, th…
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This note studies the fundamental solution of the Cauchy problem for constant coefficient Petrovskii well posed partial differential equations in several spatial variables. It classifies relevant parabolic, properly parabolic, and properly Petrovskii well posed cases, then derives asymptotic expansi…
V. A. PONOMARENKO, A. D. SNEGOVA, M. R. PITINA
This study examines the continuous high-temperature gas-phase chlorination of phenyltrichlorosilane with chlorine at 350 to 450 degrees Celsius using quartz or activated carbon packing. The reaction gave monochlorophenyltrichlorosilanes along with smaller amounts of polychlorinated products, and the…
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This paper introduces a general class of transformations of Markov processes based on multiplicative functionals, encompassing subprocess formation and changes of measure such as those related to drift transformations of Wiener processes. It defines multiplicative functionals, gives several examples…
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This paper applies the finite-temperature two-time Green function method of Bogolyubov and Tyablikov to an interacting low-density Fermi gas. In the low-density approximation, the two-particle Green function is reduced to a two-body spectral problem, yielding the second correlation function and allo…
G. E. KUZMAK
This paper studies the spatial motion of an axisymmetric rigid body about a fixed point under a restoring moment and small damping moments whose coefficients vary slowly in time. Using the method of model equations, it constructs asymptotic expressions for the nutation angle and precession velocity …
It is generally known that tautomerism may occur in amides of carboxylic acids,
This paper addresses the unresolved question of lactam, lactim tautomerism in carboxylic acid amides. Using ultraviolet rotatory dispersion measurements on optically active alpha-phenylethylamine derivatives, the authors compare solvent effects in benzene and methanol and find that N-benzoyl-alpha-p…
A. K. AREN, B. E. AREN, and Academician of the Academy of Sciences of the Latvian SSR G. Ya. VANAG
This paper describes a method for preparing 2-arylideneindandiones-1,3, compounds used as intermediates in syntheses of polycyclic systems and nucleophilic addition products. Instead of isolating indandione-1,3 and condensing it with aromatic aldehydes, the method generates indandione-1,3 in situ fr…
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This study examines the gamma-radiation reduction of ferric ions in acid solutions saturated with hydrogen under pressure, aiming to clarify the roles of hydrogen, ferric ion concentration, and acid composition in the radiolysis mechanism. Measurements of initial ferrous ion yields were made in sulf…
B. I. KOCHELAEV
This paper examines how crystal lattice defects can alter spin-lattice relaxation in paramagnetic crystals, addressing discrepancies between ideal-crystal theory and low-temperature experiments. Using Lifshitz’s theory of vibrations in nonideal lattices, it estimates defect-induced relative atomic d…
Academician A. V. TOPCHIEV, L. S. POLAK, N. Ya. CHERNYAK, V. E. GLUSHEV,
This paper examines radiation-thermal cracking of hydrocarbons as a means of combining radiation initiation with elevated temperature to promote chain cracking reactions and increase useful product yields. Experiments on vapor-phase n-heptane, irradiated mainly with 900 keV electrons and compared wi…
I. E. NEIMARK, V. M. CHERTOV, R. Yu. SHEINFAIN, and N. S. KRUGLIKOVA
This study examines whether silica gel can be given selective basic adsorption properties by chemically modifying its surface hydroxyl groups with amino alcohols. Macroporous hydrated silica gel was treated with monoethanolamine, diethanolamine, or triethanolamine under reflux or autoclave condition…
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This note studies homogeneous cones in finite-dimensional real linear spaces, with emphasis on convex cones and their relation to bounded homogeneous domains in several complex variables. It establishes invariant measure and metric properties for convex cones, proves a structural result on compact s…
Academician of the Academy of Sciences of the BSSR N. N. SIROTA, N. M. OLEKHNOVICH, and A. U. SHELEG
This paper addresses the determination of electron-density distributions in crystals from X-ray diffraction data, focusing on errors caused by truncating Fourier series and by artificial extrapolation or temperature-factor corrections. The authors propose separating the atomic scattering factor into…
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A method is developed for deriving the high-pressure equation of state of metals from experimental Hugoniot adiabats, and is applied to iron up to pressures of several million atmospheres. The treatment combines semiempirical expressions for the zero-temperature potential energy and pressure with De…
A. N. Sergeeva and K. N. Mikhalevich
This paper reports the synthesis and characterization of a sulfur-containing mixed cyano complex of trivalent cobalt, potassium disulfotricyanoaquo-cobaltate, prepared by reacting potassium hydroxopentacyanocobaltate with potassium sulfide in aqueous solution. The reaction produced dark amber rhombi…
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This study examines the product composition and mechanism of gaseous alkane cracking initiated by small additions of azomethane, focusing on propane, n-butane, and isobutane. Product mixtures obtained under conditions where the alkanes do not crack appreciably on their own were analyzed by gas chrom…
B. V. IOFFE and K. N. ZELENIN
This paper reports an unexpected rearrangement observed during attempted condensation of unsymmetrical dialkylhydrazines with acrolein to form unsaturated hydrazones. Under cold, weakly acidic aqueous conditions, dimethylhydrazine and diethylhydrazine instead gave the corresponding beta-dialkylamino…
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This paper studies decompositions of continuous unitary representations of second countable locally compact groups into factor representations, using the center of the weakly closed operator algebra generated by the representation. It proves that in the canonical decomposition the factor components …
Yu. I. LEVIN
The paper studies torsion-free affine connections determined by a fundamental coframe of n vector fields on an n-dimensional differentiable manifold, defining the class of B-connections as associated symmetric parts of flat affine connections. It characterizes these spaces through their geodesic equ…
A. D. PETROV, G. I. NIKISHIN, and G. V. SOMOV
This paper describes a high-temperature method for introducing trichlorovinyl and related chlorovinyl groups into aromatic hydrocarbons and olefins by passing mixtures with tetrachloroethylene, or in some cases trichloroethylene, through an empty quartz tube at about 550 to 590°C. The authors propos…
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The paper constructs the Green tensor for the equilibrium problem of a shallow rectangular shell of double curvature under boundary fastening conditions. Using Kilchevskii’s integral-equation method, the authors transform the displacement equations by choosing auxiliary displacements that satisfy th…
Ya. I. VIZBARAITE, V. I. CHIPLYS, and Academician of the Academy of Sciences of the Lithuanian SSR A. P. YUTSIS
This paper derives selection rules for one-electron electric multipole transitions between configurations of the form lq l′ and lq l″ when the core shell is described by LS coupling but the total state may be represented in LS, Jj, Jl, or LS0 coupling schemes. The authors express line strengths thro…
L. D. MIROSHNICHENKO, E. I. FILIPPOVICH, R. P. EVSTIGNEEVA, and N. A. PREOBRAZHENSKII
This study examines pH-dependent isomeric transformations in meso-carbethoxymethyl-substituted dipyrrylmethenes, focusing on the origin of their differently colored forms. A series of compounds with carbethoxy substituents in different ring positions was prepared and analyzed by electronic absorptio…
Corresponding Member of the Academy of Sciences of the USSR B. M. Vul, É. I. Zavaritskaya, and L. V. Keldysh
This paper examines impurity conductivity in indium-doped p-type germanium at low temperatures, where thermal ionization is negligible and weak electric fields can produce impact ionization because of small impurity ionization energies and long carrier mean free paths. Using current density and Hall…
R. I. PODLOVCHENKO
This paper proposes a formal system for programming concepts arising in the analysis of logical schemes used to construct programs. It defines memory states, operators, logical conditions, selecting functions, operator sequences, admissible states, terminal pairs, and the product of operators and lo…