K. A. Andrianov and N. A. Kurasheva
The study examines cleavage of the siloxane bond in hexamethyldisiloxane by titanium tetrachloride and the formation of trimethylsiloxy chlorotitanium derivatives. Experiments show that at 120 to 200°C titanium tetrachloride reacts with hexamethyldisiloxane to give trimethylchlorosilane and trimethy…
O. A. REUTOV, G. A. ERTEL, and O. A. PTITSYNA
The study examines isotopic exchange between diaryliodonium borofluorides and aryl iodides labeled with iodine-131, based on the expected formation and reactivity of aryl cations during thermal decomposition of iodonium salts. Radioactive aryl iodides and several diaryliodonium borofluorides were pr…
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This note studies how invariance of a differentiable function under a group action can yield lower bounds for stationary values that remain stable under small, not necessarily invariant, perturbations. Using critical values defined by weak homotopy changes in sublevel sets, it relates a function on …
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This paper investigates the excitation functions of optical bands emitted by the molecular ions N2+, CO+, and NO+ under electron impact, using photoelectric registration in controlled low pressure gas discharges. Measurements of selected band systems show reproducible fine structure in the excitatio…
Readily available and reactive β-keto acetals,
This study examines the synthesis and reactivity of functionalized beta-keto acetals, focusing on ethylene acetals of alpha-bromoaroylacetaldehydes. The compounds were prepared by bromination of aroylacetaldehyde ethylene acetals and then subjected to substitution reactions with iodide, thiocyanate,…
Academician Vikt. I. Spitsyn, E. A. Torchenkova, and I. N. Glazkova
This study examines the dissolution of barium sulfate labeled with radioactive barium, radioactive sulfur, or both indicators, in order to assess how specific activity affects measured solubility and dissolution kinetics. Preparations were synthesized from hot barium chloride and sodium sulfate solu…
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This paper develops an explicit method for constructing counterterms in a nonrelativistically regularized quantum field theory, focusing on primitively divergent graphs. Using a pseudoscalar spinor, meson interaction as a model, it evaluates the relevant regularized momentum integrals through an aux…
M. V. VOL'KENSHTEIN and Al. M. ELYASHEVICH
This paper develops a model thermodynamic theory of DNA reduplication treated as polycondensation of nucleotide triphosphates with release of inorganic pyrophosphate, modifying earlier polymerization-based models. Using statistical-mechanical free energy expressions, the authors argue that reduplica…
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This note generalizes the Wiman, Valiron theorem to entire transcendental functions of several complex variables by considering maximum modulus on hypersurfaces defined by sums of powers of the coordinate moduli. Using the homogeneous decomposition of the power series and the central index of an ass…
Copolymers obtained from monoolefins are valuable materials both as elastomers and as plastics.
This study reports initial experiments on the copolymerization of ethylene with propylene and alpha-butylene using a chromium oxide catalyst supported on industrial aluminosilicate. Polymerizations were conducted in purified gasoline solvent under pressure, followed by isolation and comparison of th…
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This study examines the constitution of nickel, aluminum, and molybdenum alloys, motivated by the lack of a reliable ternary phase diagram for heat-resistant Ni-based systems. Alloys in the Ni, NiAl, and Mo composition range were melted, homogenized, quenched after heat treatments, and analyzed by c…
L. G. BOLKHOVITINOV
The paper addresses the anomalously low detonation velocities observed in some liquid explosives, such as nitroglycerin and methyl nitrate, which cannot be explained by ordinary shock heating alone. It proposes that a shock-induced crystallization zone forms behind the shock front, altering the ther…
E. A. SHUGAM and L. M. SHKOLNIKOVA
This study examines the nature of chemical bonding in isomorphous crystals of aluminum, chromium, and cobalt acetylacetonates using X-ray diffraction. The authors determined mean interatomic distances and valence angles through difference projections, three-dimensional electron-density sections, and…
A. I. ZASLAVSKII and A. G. TUTOV
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Pinsker studies measure-preserving dynamical systems in Lebesgue spaces through the relation between entropy, factor systems, and Kolmogorov regularity or singularity. The note defines completely positive entropy as positivity of entropy for every nontrivial factor system, introduces generating suba…
O. A. REUTOV and T. N. SHATKINA
This study examines whether free n-propyl radicals can isomerize in solution, contrary to earlier conclusions based on peroxide decompositions in carbon tetrachloride. The authors thermally decomposed alpha carbon-14 labeled n-butyryl peroxide in boiling carbon tetrachloride, converted the resulting…
V. B. LIDSKII
The paper studies Fourier expansions in the principal vectors, including eigenvectors and associated vectors, of completely continuous non-self-adjoint operators in a Hilbert space, where ordinary convergence may fail even under completeness. It defines an Abel-type summability method adapted to cha…
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This paper addresses the structural study of linseed oil glycerides, whose acid composition was known but whose positional arrangement of saturated and unsaturated residues could not be determined from existing distribution theories. The authors synthesized a series of triglycerides corresponding to…
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This paper reports electron paramagnetic resonance measurements of dilute solutions of several aromatic and aliphatic potassium ketyls in 1,2-dimethoxyethane, with attention to hyperfine structure as evidence for spin-density distribution. Spectra of phenanthrenequinone and benzil ketyls show small …
I. Ya. Dekhtyar and V. S. Mikhalenko
This paper investigates the angular correlation of gamma quanta produced by positron electron annihilation in a bismuth single crystal as a means of probing electron momentum distributions and the shape of occupied energy surfaces. Using a sodium-22 positron source, scintillation coincidence detecti…
L. M. Yagupol’skii, V. F. Bystrov, and E. Z. Utyanskaya
This study examines how fluorine-containing substituents affect electron density distribution in fluorobenzenes, using fluorine-19 nuclear magnetic resonance chemical shifts measured relative to unsubstituted fluorobenzene. The authors compare shifts for ortho, meta, and para substituted compounds w…
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This study examines the mechanism of acetylene hydration in the Kucherov reaction using deuterium labeling. Ordinary acetylene was hydrated in heavy water solutions, and deuterated acetylene in ordinary water, with isotopic analysis of the resulting acetaldehyde and its oxidation product, acetate, t…
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This paper develops a kinetic model for nonequilibrium impurity capture during crystal growth, motivated by sectorial impurity distributions that cannot be explained by thermodynamic equilibrium alone. It treats growth as periodic deposition of layers of equal thickness with rapidly moving steps, fo…
D. N. Nekrasov and M. M. Kusakov
This paper examines capillary rise and hysteresis of a wetting liquid in porous media by modeling the medium as an equivalent vertical capillary of arbitrarily variable circular cross section. Using equilibrium conditions and a potential energy formulation based on experimentally measured relations …
M. I. BATUEV, A. S. ONISHCHENKO, A. D. MATVEEVA, and N. I. ARONOVA
This study examines geometrical and rotational isomerism in substituted 1,3-dienes using Raman spectra, with comparison to known infrared and chemical behavior. The authors analyze double-bond vibration frequencies in cis and trans 1-chlorobutadiene, piperylene, chloroprene, isoprene, and 2,3-dimeth…
A. Yu. LEVIN
This paper develops comparison principles for second-order linear differential equations with summable coefficients on a finite interval. Using the logarithmic derivative transformation to Riccati equations, it proves conditions under which nonvanishing of one solution and integral inequalities betw…
V. P. Sadokov
This paper examines approximate numerical solutions of the nonlinear vorticity equation used in the geostrophic description of middle tropospheric motion, with attention to its role as a test equation for baroclinic computational schemes. The author reformulates the time discretization as an implici…
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The paper studies Kolmogorov n-dimensional widths of subsets of Banach spaces, with emphasis on classical classes of periodic, analytic, harmonic, and smooth functions in the uniform metric. It proves a general lower-bound theorem: if an n plus 1 dimensional section of a class contains a scaled sect…
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This paper examines how the number of pi electrons influences the sign and magnitude of the pi electron contribution to magnetic susceptibility in a class of aromatic molecules. Using the molecular orbital method and perturbation theory, it argues that molecules whose energy spectra arise from small…
V. A. BORGMAN, I. A. ZHMYREVA, V. V. ZELINSKII, and V. P. KOLOBKOV
This study examines how heavy halide additives affect fluorescence quenching, phosphorescence yield, and deactivation of metastable states in solid alcoholic solutions of organic luminescent compounds at low temperature. Absolute fluorescence and phosphorescence yields and phosphorescence decay rate…
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This study revises the cobalt rich portion of the cobalt boron phase diagram in light of evidence for the compound Co3B, which had not been included in earlier diagrams. Alloys containing 2 to 8.7 percent boron, along with dilute alloys down to 0.1 percent boron by charge, were prepared from high pu…
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This paper studies locally finite groups satisfying minimality conditions on subgroup chains detected by elements whose orders involve specified primes, with particular attention to groups satisfying p-minimality for every prime. It develops several criteria for the Pi-minimality condition, relating…
A. N. MURIN, V. D. NEFEDOV, V. M. ZAITSEV, and S. A. GRACHEV
This study investigates the synthesis and identification of previously little studied organoelement compounds of polonium formed through chemical changes accompanying beta decay of RaE incorporated in aromatic bismuth derivatives. Polonium daughter products accumulated in crystals of Bi(RaE)Ph3 and …
V. G. BOLTYANSKII and M. M. POSTNIKOV
Boltyanskii and Postnikov propose an axiomatic formulation of cohomology groups for pointed topological spaces that avoids relative groups and therefore dispenses with the excision axiom. The note defines admissible categories, homotopy, cofibrations, and connecting homomorphisms, then states three …
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This paper examines how radiation-chemical yields in aqueous solutions depend on the concentration and reactivity of dissolved acceptors, arguing that mechanisms inferred from a single concentration can be misleading. Using an approximate track model, the author derives a concentration-dependent exp…
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This paper develops a theoretical treatment of chemisorption using Bloch functions for the adsorbent crystal rather than localized crystal states, making the formulation applicable to both metals and dielectrics. The adsorbate and crystal are represented through one-electron Hamiltonians, and variat…
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This paper constructs examples of oscillating motion in the Newtonian three-body problem, where two bodies remain at bounded mutual distance while a third has unbounded distance from them without tending to infinity. The argument first treats a symmetric restricted problem with two equal masses movi…
V. O. MOKHNACH, S. N. ANDREEV, and E. V. STROGANOV
This study examines the origin of the blue coloration of iodine solutions in oleum, testing the proposal that it is caused by formation of iodine cations through oxidation of molecular iodine. The authors measured absorption spectra of iodine solutions in oleum with varying free sulfur trioxide cont…
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A differential conductometric titration method is described for quantitative analysis of binary and three-component mixtures of trimethylchlorosilane, dimethyldichlorosilane, and methyltrichlorosilane in nonaqueous media. The procedure converts methylchlorosilanes quantitatively to the corresponding…
G. A. Gurzadyan
This paper reports an observational search for faint outer shells around planetary nebulae, motivated by a model in which nebulae evolve from single-shell objects through a double-shell phase and later appear ring-shaped as the outer shell fades. Examination of Palomar Observatory sky-survey photogr…
N. M. KOROBOV
The paper studies optimal coefficients for multidimensional quadrature formulas on classes of periodic functions whose Fourier coefficients have prescribed decay. It gives methods for computing coefficients of the form 1, a, ..., a^{s-1}, including a criterion based on minimizing an auxiliary functi…
Corresponding Member of the USSR Academy of Sciences S. N. Mergelyan
This note studies best weighted polynomial approximation on the real line for continuous functions satisfying a weighted vanishing condition at infinity, focusing on the Cauchy kernel \(1/(x-a)\) with nonreal pole. For weights with regularly decreasing logarithm, represented through a monotone funct…
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This paper studies the large-index asymptotic behavior of normalized eigenfunctions for a Sturm-Liouville operator on the interval with Dirichlet boundary conditions, treating the potential term as a perturbation of the second derivative operator. Under smoothness and endpoint assumptions on the pot…
M. ROSENBLATT-ROT
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This paper studies how sectional curvature pinching constrains the topology of complete even-dimensional Riemannian manifolds. Building on results of Rauch and Klingenberg, it proves that if the curvature satisfies 0 < L/4 < K <= L at every point and in every two-dimensional direction, then the mani…
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The paper studies the self-similar piston problem in ideal magnetohydrodynamics for a perfectly conducting piston and medium, without restricting either the piston velocity or the magnetic field direction and magnitude. It analyzes the possible wave patterns preceding the piston, including fast and …
I. L. APTEKAR
The paper examines how theoretical phase diagrams for alloys with ordered phases depend on the assumed form of configurational energy. It argues that common ordering theories using a single pair-interaction parameter have limited applicability, because the mixing energy, long-range ordering energy, …
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The paper derives a Lagrange-Sylvester type formula for a symmetric second-rank tensor function depending on two symmetric tensors that cannot be simultaneously reduced to canonical form, under the assumption that one tensor has three distinct eigenvalues. The argument represents the function as a l…
E. F. KURGAEV
This paper addresses the calculation of viscosity in liquid suspensions of solid particles, noting the limited concentration range over which Einstein’s formula and later modifications agree with experiment. It develops a semiempirical expression by treating the added resistance as an apparent visco…
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This paper investigates the calorimetric determination of vacancy formation energy and vacancy concentration in quenched gold, addressing limitations of electrical resistance and dilatometric methods. Using a pulsed differential calorimetric technique suitable for thin gold wires, the authors measur…