G. K. BABESHKINA, V. G. TRONEV
This paper reports the isolation and characterization of pyridinium pyridinepentahalorhenates(IV), PyH[RePyCl5] and PyH[RePyBr5], proposed as intermediates in the conversion of pyridinium hexahalorhenates to dipyridinetetrahalorhenates. By reacting the corresponding pyridinium hexachloro or hexabrom…
O. F. Vasiliev, S. K. Godunov, N. A. Pritvits, T. A. Temnoeva, I. L. Fryazinova, S. M. Shugrin
This paper presents a numerical method for calculating unsteady long wave propagation in open channels, with emphasis on flood routing in river systems. The authors formulate the Saint Venant equations without neglecting inertial terms and develop a modified implicit finite difference scheme in whic…
A. M. SAMSON, Academician of the Academy of Sciences of the BSSR, B. I. STEPANOV, L. D. KHAZOV
The paper analyzes how the generation threshold of an optical generator depends on resonator properties, using nonlinear transport equations for a plane-parallel active layer with negative absorption. It derives threshold conditions in terms of mirror reflection coefficients, layer thickness, output…
R. A. Shlyakhter, N. P. Apukhtina, T. P. Nasonova
This paper examines thiol, disulfide exchange in polysulfide polymers with terminal mercaptan groups, focusing on whether exchange occurs not only during synthesis but also during ordinary mixing of polymers of different molecular weights. Polysulfides with molecular weights from about 600 to 3000 w…
A. D. GEL’MAN, L. N. ESSEN, F. A. ZAKHAROVA, D. P. ALEKSEEVA, M. M. ORLOVA
This paper reports the preparation and preliminary characterization of previously undescribed oxalato-sulfite complex compounds of thorium and uranium(IV), motivated by limited prior information on sulfite complexes and the absence of data on mixed oxalato-sulfite species. Thorium or uranium oxalate…
I. V. GOSTUNSKAYA, V. A. MIRONOVA, N. B. DOBROSERDOVA, B. A. KAZANSKII
This paper examines the chemical nonequivalence of active hydrogen sorbed by a skeletal nickel catalyst during incomplete hydrogenation and double-bond migration of 1-hexene in ethanol at room temperature. The authors compare experiments with full, limited, and no external hydrogen supply, using gas…
I. A. AKIMOV
This paper investigates the temperature dependence of dark conductivity and photoconductivity in thallium iodide layers before and after spectral sensitization by adsorbed dyes. Sublimed and powder-like TlJ layers were measured from about +20 to -170 degrees Celsius in air and vacuum, with photocond…
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The paper defines a fourth-rank tensor obtained by decomposing the Riemann curvature tensor into a part built from the Ricci tensor and scalar curvature and a residual tensor identified as a fourth-rank analogue of the Einstein tensor. It establishes the symmetry, contraction, and divergence propert…
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This paper studies invariant indecomposable measures for continuous one-parameter dynamical systems on compact phase spaces and relates them to indecomposable measures for individual time maps. It proves that, for any nonzero time, an indecomposable invariant measure of the flow can be represented a…
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The paper investigates the multipolarity and center structure underlying low-temperature green luminescence lines in LiF and NaF single crystals containing hexavalent uranium. Using piezospectroscopy, the authors compare polarized deformation splittings under uniaxial compression along different cry…
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This study investigates the atomic structure of carbonaceous products formed by acetylene condensation through copper acetylenide intermediates and subsequent oxidation. X-ray diffraction and infrared spectroscopy are used to assess whether these materials correspond to open carbon forms based on li…
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The paper proposes iteration chromatography, a variant of vacant chromatography intended to adapt gas chromatographic analysis for automatic control by making the detector function primarily as a null instrument. The method introduces prepared doses, or mixed component streams, into the analyzed gas…
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Paramagnetic relaxation in concentrated aqueous solutions of vanadyl chloride and vanadyl sulfate is investigated to test theories of relaxation under strong exchange interactions between vanadyl ions. Using paramagnetic absorption in parallel fields at 12 to 44 MHz, the authors determine spin-latti…
Academician of the Academy of Sciences of the Georgian SSR G. V. Tsitsishvili, Sh. I. Sidamonidze,
This study examines the catalytic activity of synthetic zeolites NaX, CaA, and HX in cumene cracking and isopropyl alcohol dehydration using flow reactor experiments and gas analysis of reaction products. Cumene cracking was not observed below 400 degrees Celsius, and the low conversion at 425 to 43…
A. P. Boiko
M. B. Konstantinopolskaya, Z. Ya. Berestneva,
This study examines structure formation during crystallization of a capron, nylon, and sebacinamide copolymeric polyamide, using electron microscopy and microdiffraction. Films were prepared from solution under varying solvent evaporation rates and substrate temperatures to observe how supersaturati…
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The paper studies closed subsets of Cantor cubes and their images, with emphasis on dyadic bicompacta and the role of neighborhood character, stratifications by coordinate layers, and associated skeletons. It develops auxiliary propositions relating stratifications of closed sets to bounds on neighb…
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This note examines how the Coulomb interaction between electrons can be incorporated into the thermodynamics of superconductivity, where earlier formulations treated it only implicitly or neglected it. Using Green’s functions, anomalous quasiaverages, Dyson equations, and a boson field representatio…
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This paper examines the structure and capacitance of the electric double layer in molten salts and highly concentrated electrolyte solutions, motivated by observed capacitance curves resembling those of dilute solutions. Using Bogolyubov’s chain of equations for a hard sphere Coulomb system near a u…
L. A. GRIBOV
This paper examines the physical interpretation of force constants in polyatomic molecular vibration theory and argues that conventional force-constant matrices do not correspond directly to measurable elasticities of individual structural elements. It proposes describing interatomic forces by symme…
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The paper studies a singularly perturbed Cauchy problem for a first-order differential equation in a real Banach space, where the nonlinear term admits a convergent Fréchet power expansion and the leading linear operator may be unbounded. It gives sufficient spectral and solvability conditions under…
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This study examines how medium polarity influences the activation energy of chain propagation during liquid phase oxidation of ethyl alcohol and methyl ethyl ketone. Oxidation experiments were conducted under pressure at different temperatures and benzene dilutions, and maximum rates, initiation rat…
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The paper studies spectral decompositions for certain bounded non-self-adjoint operators in reflexive Banach spaces, focusing on operators with zero-dimensional spectrum and controlled resolvent growth near the spectrum. It constructs invariant subspaces by integrating the resolvent against suitable…
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This paper reports a second series of ground-based free-fall experiments on the behavior of purified weightless liquids, using mercury, bidistilled water, and bromobenzene in a fluoroplastic cuvette to reduce contamination and wetting effects. Motion-picture observations of mercury show rapid transf…
E. I. Givargizov
This paper examines crystallization of thin germanium layers from the gas phase by the chemical reaction method, motivated by the superior electrical properties of such layers compared with vacuum-deposited films. Experiments in a quartz reactor measured growth rate as a function of germanium tetrac…
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The paper extends index formulas based on the argument principle from analytic functions in plane domains to automorphic functions and mappings between domains on finite-sheeted Riemann surfaces. By uniformizing such mappings with automorphic functions, it derives a relation equating the boundary ro…
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This study examines the structure and dual reactivity of N-ethyleniminocarbinols formed from ethylenimine and carbonyl compounds, challenging earlier interpretations that invoked oxazolidines or bis-ethylenimine products under mild conditions. Reactions of several N-ethyleniminocarbinols with ethyle…
Yu. N. DNESTROVSKII, D. P. KOSTOMAROV
The paper studies eigenvalue problems for second order differential equations on the real line in which the spectral parameter enters nonlinearly and the coefficient may be complex, with emphasis on large values of a real parameter. Using asymptotic expansions in the complex plane, the authors relat…
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This note studies when degeneracy of simple restricted Lie algebras over an algebraically closed field of characteristic p greater than 5 implies strong degeneracy, meaning the existence of a nonzero element whose adjoint square is zero. It proves that strong degeneracy follows under conditions invo…
Corresponding Member of the USSR Academy of Sciences G. I. CHUFAROV
This study examines the thermodynamic properties and crystal-chemical behavior of solid solutions in the zinc ferrite, magnetite system, Zn1-xFe2+xO4. Using experimentally measured hydrogen reduction equilibrium constants at 600, 700, and 900 °C together with X-ray determination of lattice parameter…
Yu. A. Anan'ev, V. P. Gribkovskii, A. A. Mak,
This paper analyzes the optical properties of the active medium in a four-level optical quantum generator with a metastable upper laser level. Using stationary rate equations for the level populations, it derives conditions for population inversion, expressions for the threshold pump radiation densi…
E. A. ZHURAKOVSKII, V. P. DZEGANOVSKII
The paper investigates the fine structure of scandium K-absorption spectra in metallic scandium and in refractory compounds including scandium diboride, monocarbide, mononitride, and oxide. Using photographic x-ray spectrography with energy determinations accurate to about 0.2 eV, the authors compar…
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This paper studies analytic continuation properties of the derivative of the spectral function for self-adjoint Sturm-Liouville operators on the half-line with boundary condition at the origin and potentials of the form q(x) = -x^alpha + p(x). It proves meromorphicity results for the unperturbed and…
E. G. Shvidkovskii, G. M. Martynkevich, G. V. Malyarova
This study examines how prior irradiation of solid indium with thermal neutrons affects the molecular composition of its vapor during subsequent evaporation from the liquid state. Using MS-1 mass spectrometry, the authors compared irradiated and nonirradiated indium films over 773 to 1373 K, measuri…
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The paper derives the magnetic anisotropy of a uniaxial ferromagnet, with cobalt as the motivating case, from a Hamiltonian that includes exchange, magnetic dipole, and spin orbital interactions of unfilled d shell electrons. Using a two sublattice description for alternating orbital moments and a l…
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This study examines how irradiation affects the catalytic behavior of copper in the dehydrogenation of cyclohexane to benzene, a reaction for which untreated copper shows only weak activity. Copper catalysts prepared from copper nitrate were tested in a flow apparatus before and after neutron irradi…
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This paper studies ranks of systems of open sets, including Nagata rank and related small, large, and local variants, and relates these notions to covering dimension. It gives characterizations of finite dimensionality for normal spaces, bicompacta, compacta, and metric spaces in terms of the existe…
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This paper formulates and solves a linearized spatial problem for the motion of a cold lower air layer over terrain whose height is small compared with the layer thickness, using a two-layer atmospheric model with a free upper interface and Coriolis force. For subcritical flow, with velocity below t…
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This paper examines whether major Antarctic geological structures are expressed in regional Faye gravity anomalies despite the continent’s substantial ice load and broad isostatic compensation. Gravity data from Soviet and foreign surveys, including profiles processed with the author’s participation…
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The paper develops finite difference equations for the approximate solution of the Dirichlet problem for the Euler, Poisson, Darboux equation in axisymmetric coordinates. Extending a previously proposed construction based on local representations of solutions by special systems of functions satisfyi…
TIBERIU ROMAN
This paper studies the symmetry groups of frieze ornaments in real Euclidean space of dimension n+1, generalizing earlier results for four-dimensional friezes and Shubnikov’s concept of antisymmetry. It defines elementary sets, frieze ornaments, geometric equivalence of symmetries, rotations, and al…
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The paper studies the closure of discrete direct products through a construction called the space of convergent sequences for a family of similar uniform spaces with distinguished base points. It establishes basic embedding, density, separation, compactness, local compactness, and completeness prope…
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The paper examines adiabatic motions of an ideal gas in special relativistic hydrodynamics and proposes a formal interpretation of nonstationary relativistic flows as stationary nonrelativistic flows of an auxiliary gas in a fictitious four-dimensional Euclidean space. By introducing transformed vel…
Academician of the Academy of Sciences of the Ukrainian SSR Yu. K. Delimarskii, V. F. Grishchenko, and A. V. Gorodyskii
The study examines how the capacitance of the electrical double layer varies with composition in the binary molten salt system PbCl2,KCl, using platinum electrodes and audio-frequency impedance measurements. Capacitive resistance was measured both at 540 °C and at temperatures 50 °C above the liquid…
M. B. NEIMAN, Yu. G. MAMEDOVA, P. BLENKE, and A. L. BUCHACHENKO
The study examines hydrogen abstraction reactions of the stable tri-tert-butylphenoxyl radical with decane, isodecane, toluene, ethylbenzene, and cumene in the liquid phase. Radicals were generated by oxidation of the corresponding phenol, and reaction kinetics were followed by EPR measurements over…
L. P. Usol'tsev
This paper derives large deviation estimates for two metric problems concerning incomplete systems of residues, extending questions arising from limit theorems of Davenport and Erdős and of Postnikov. For short sums of Legendre symbols over intervals, the argument uses even moment estimates together…
A. S. MARKUS
The paper studies expansions in root vectors for operators obtained by weakly perturbing a self-adjoint operator with discrete spectrum in a separable Hilbert space. Under conditions relating the perturbation to powers of the unperturbed operator and to the growth of the eigenvalues, it proves that …
A. N. TIKHONOV and B. S. ENENSHTEIN
This paper proposes a parameter-free method for estimating the depth to the top of the crystalline basement from phase curves of frequency electromagnetic soundings. Using theoretical two-layer and multilayer sounding charts for electric and magnetic field components, it relates the amplitude of the…
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This study examines the mechanism of the iodine-starch color reaction, with particular attention to the chemical form of iodine incorporated into the starch macromolecule. Using spectrophotometric measurements of aqueous iodine, starch, and iodine-starch solutions over 220 to 800 nm, including exper…