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This study uses Raman combination-scattering spectra to examine the conformational equilibria of cyclohexanone, alpha-chlorocyclohexanone, alpha-methylcyclohexanone, and beta-methylcyclohexanone in liquid form and, for some cases, solution. Splitting of the carbonyl and ring vibrational bands is int…
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The paper develops an approximate dynamic model for plane motion of a compressible plastic medium, replacing incompressibility by a linear relation between stress and strain-rate invariants while retaining the Prandtl-Reuss plasticity and coaxiality conditions. Using compatibility conditions for wea…
Academician of the Academy of Sciences of the Turkmen SSR R. G. Annaev and A. Allanazarov
This study examines the anisotropy of longitudinal and transverse galvanomagnetic effects in an n-type germanium single crystal at temperatures spanning the transition from impurity to intrinsic conductivity. Measurements along the principal crystallographic axes were compared with theoretical expre…
A. L. LIBERMAN, N. I. TYUN’KINA, and Academician B. A. KAZANSKII
This study examines how side-chain structure affects the relative boiling points of cis and trans stereoisomers in 1,4-dialkylcyclohexanes, a question raised by earlier observations of boiling-point inversion in 1,4-diisopropylcyclohexane. The authors synthesized 1,4-di-n-propylcyclohexane and 1-met…
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This paper treats the linearized hydrodynamic problem of wave resistance for an arbitrary rigid body moving at constant angular velocity along a horizontal circular path beneath the free surface of an ideal heavy liquid of infinite depth. It derives expressions for the wave velocity potential for mo…
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This paper examines the water content of powerful cumulus and cumulonimbus clouds and its relevance for forecasting shower precipitation and hail. The authors develop a calculation method based on the vertical distribution of updraft velocity, the retarding effect of accumulated liquid water, and th…
V. I. Semyanistyi
This paper develops four families of integral transformations with generalized kernels in Euclidean space and in the associated space of hyperplanes. Using spaces of test functions and generalized functions, it constructs two one-parameter convolution groups, one containing the Laplace operator and …
V. G. LEVICH and V. A. KIR’YANOV
This paper develops a statistical theory of the electric double layer at a metal, electrolyte interface, addressing limitations of the Gouy and Gouy-Stern treatments arising from neglected interionic correlations and the discrete structure of charge. Using the correlation function method of Bogolyub…
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This paper examines how adsorption of catalysts affects polarographic catalytic hydrogen waves, using quinine in borax solution as the main example. It argues that the observed catalytic current is the sum of a bulk reaction current and a surface reaction current involving adsorbed catalyst, and sho…
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The paper studies the linear stability of a strong spherical converging shock wave in an ideal gas with isentropic exponent 7, using a self-similar unperturbed solution and perturbations expanded in spherical harmonics. The analysis derives the characteristic relation between temporal and spatial ex…
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This paper studies Green’s functions and comparison principles for self-adjoint second order elliptic operators in a domain with Dirichlet boundary conditions. Using Fredholm and Ries-Schauder integral equation arguments, it relates positivity of the Green’s function to the coefficient being below t…
M. I. VISHIK and L. A. LYUSTERNIK
This note studies perturbations of eigenvalues and eigenelements for certain non-self-adjoint operators, extending earlier methods for perturbed linear equations. For finite-dimensional non-Hermitian matrices with a zero eigenvalue, the authors describe how the structure of the Jordan chains determi…
Academician of the Academy of Sciences of the Armenian SSR M. M. Dzhrbashyan and R. M. Martirosyan
This note develops a general theory of biorthogonal kernels in Hilbert spaces of square integrable functions with respect to nondecreasing measures, continuing earlier work on quasi-isometric mappings. It introduces complete kernels, B-kernels, Bessel, Hilbert, Riesz-Fischer, and Riesz kernels, and …
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This paper reports photoionization measurements of vapors of aldehydes, ketones, amides, acids, and halogenated ketones containing a carbonyl group, with emphasis on how substituents affect the first ionization potential. The data are interpreted in terms of electron density at the carbonyl oxygen, …
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The paper studies the first boundary-value problem for a class of nonlinear elliptic systems whose coefficients depend on the unknown function. It extends the energy method used for linear strongly elliptic systems, formulating coercivity and integrability assumptions under which a generalized solut…
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The paper studies how an additive category can be embedded in a larger additive category admitting direct products of finite families of objects. It constructs a matrix category over a given additive category, whose objects are finite ordered lists of objects and whose morphisms are rectangular matr…
N. S. NIKOLAEV and E. G. IPPOLITOV
This paper reports the preparation of rhenium hexafluoride by fluorinating metallic rhenium with gaseous chlorine trifluoride. Motivated by the difficulty of avoiding oxyfluoride formation in earlier fluorination methods, the authors tested chlorine trifluoride and found that liquid reagent did not …
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This paper examines causality in a nonlocal field theory, addressing whether relativistic invariance, macrocausality, and perturbative consistency can be reconciled under restrictions on the form factors. It considers meromorphic form factors analytic on the real axis and analyzes second-order proce…
and CHZHAN CHZHAO-LAN
This study examines the catalytic dehydrogenation of isopentane over chromium oxide, aluminum oxide catalysts at 500 to 600 degrees, with particular attention to kinetic measurements in a fluidized catalyst bed. Experiments in fluidized and fixed beds, combined with chromatographic analysis of produ…
V. I. MIKHEEVA and V. B. BREITSIS
This paper investigates the ternary solubility system sodium borohydride, sodium hydroxide, and water at 0°C, with attention to conditions that stabilize aqueous borohydride solutions and permit isolation of crystalline hydrate forms. Using purified sodium borohydride, sodium hydroxide solution, iso…
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This paper derives explicit formulas for the connection forms of a quasisymmetric affine connection space, whose curvature and torsion tensors are covariantly constant, in terms of their values at a fixed point. Using the structure equations of the associated homogeneous Lie group and canonical coor…
V. E. GUL’, V. V. KOVRIGA, and A. N. KAMENSKII
This study examines how the relaxation behavior of cross-linked butadiene-nitrile rubber vulcanizates can be evaluated during rupture through the rate of spontaneous contraction after failure. Using high-speed cinematography, the authors measured contraction in notched plates and narrow strips of SK…
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This study examines the liquid-phase oxidation of cyclohexanol by oxygen containing ozone at 50 to 100°C, measuring ozone uptake and the formation of cyclohexanone, peroxides, acids, and esters. Product distributions, inhibitor experiments with hydroquinone, and comparison with thermal oxidation are…
V. M. ZAITSEV, P. F. POKHIL, and K. K. SHVEDOV
This paper describes a direct electromagnetic method for measuring the mass velocity of detonation products, a parameter important for detonation theory and explosive applications. The method uses the emf induced in a foil sensor assumed to move with the explosion products after passage of the deton…
Unknown
This paper reports additional measurements of the equilibrium for vapor-phase ethyl alcohol synthesis from ethylene and water at elevated pressures, extending earlier work on the pressure dependence of the equilibrium constant. Using gas mixtures chosen to avoid condensation, the authors compare mea…
Unknown
This paper derives interior error estimates for a grid method applied to the two-dimensional Neumann problem, particularly in cases where simple boundary approximations make local satisfaction of the boundary condition weak or low order. Using embedding theorems, a Courant, Friedrichs, and Lewy type…
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The paper studies a qualitative property of solutions to a second order parabolic equation in a rectangular domain under boundedness, positivity, and smoothness assumptions on the coefficients. It considers the essential connected components of the positive and negative sets of a bounded solution, e…
G. B. Bokii and G. A. Kukina
This paper reports an X-ray crystallographic study of cis-ethyleneamminedibromide of platinum, undertaken to clarify the structural trans influence in a compound not complicated by an outer-sphere ion. Using interatomic-function projections and electron-density projections, the authors determine a t…
V. A. Khitrov, V. I. Shatalova, I. S. Smolyaninov, and Yu. I. Sadovskaya
This paper examines how temperature affects the corrosion rates of several metals in acidic media and evaluates the applicability of the Arrhenius relationship to these heterogeneous corrosion processes. Using corrosion measurements for iron, steel, nickel, zinc, aluminum, copper, cadmium, tin, and …
Yu. A. Buslaev and N. S. Nikolaev
The paper investigates the 25°C solubility isotherm of the HF, HfF4, H2O system in order to clarify the interaction of hafnium fluorides with hydrofluoric acid and to compare hafnium and zirconium fluoride solubilities. Using chemical analysis of liquid and solid phases, the study identifies success…
L. F. VERESHCHAGIN, Yu. N. RYABININ, A. Ya. PREOBRAZHENSKII, and V. A. STEPANOV
This paper discusses the rationale and experimental approach for growing metallic single crystals under high hydrostatic gas pressure, motivated by the expectation that increased pressure may reduce crystal lattice defects and alter phase behavior. The authors describe a furnace and high-pressure ap…
Yu. M. BEREZANSKII
The paper develops energy inequalities for boundary-value problems for a broader class of second-order equations of mixed elliptic-hyperbolic type, extending earlier work related to Chaplygin’s equation. It specifies domains with elliptic and hyperbolic parts, characteristic boundary arcs, and coeff…
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The paper introduces reduced free products of nonassociative algebras defined by systems of multilinear identities over a field of characteristic zero, with special attention to commutative and anticommutative free products. It gives equivalent constructions by ideals in ordinary nonassociative free…
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A. F. Leont'ev
This paper studies solutions of an infinite order differential equation formed from iterates of a finite order linear differential operator with entire coefficients, where the characteristic function has minimal growth of class [1/s, 0]. It proves that, when the right hand side is entire, the domain…
G. S. Golitsyn
This paper analyzes magnetic field and induced current density fluctuations produced when a weakly conducting turbulent liquid or gas moves in an imposed magnetic field that is assumed not to affect the turbulence. Using the induction equation in the limit of large magnetic viscosity and locally hom…
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This paper examines electronic absorption spectra of aromatic hydrocarbons dissolved in anhydrous liquid hydrogen chloride in the presence of aluminum chloride, with attention to the formation of positively charged hydrocarbon species. The authors developed pressure resistant Monel, platinum, and li…
Unknown
This study examines how prolonged deformation time affects the relation between composition and high-temperature strength in alloys from a section of the five-component Ni, Cr, W, Ti, Al system with varying aluminum content. Creep tests at 900°C and an initial stress of 6 kg/mm² were conducted for u…
K. I. NARBUTT, R. L. BARINSKII, and I. S. SMIRNOVA
This study investigates fluorescence X-ray spectral analysis using an artificial thulium-170 radioactive source in place of an X-ray tube for excitation of characteristic K radiation from elements between zinc and uranium. Because of the weak fluorescence intensity, the authors used a crystal-free s…
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This paper examines how the phenomenological thermodynamics of irreversible processes can be extended beyond the usual near-equilibrium linear approximation. It argues that Onsager’s linear relations between fluxes and thermodynamic forces may be retained while nonlinear kinetic equations arise when…
An. N. NESMEYANOV and DE DYK MAN
This study reexamines the vapor pressure of solid chromium, for which earlier measurements from boiling point and open surface evaporation methods gave inconsistent results. The authors used an integral Knudsen effusion method with neutron-activated chromium-51 as a radioactive tracer to quantify co…
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This paper surveys X-ray structural data on complex compounds of divalent Fe, Co, Ni, Cu, Pd, and Pt to identify regularities in coordination geometry, spin state, and ligand effects. Comparing statistical structural data with magnetic and other physicochemical evidence, it argues that Pd and Pt con…
T. S. Bhanumurthy
This paper computes the Plancherel measure for the Riemannian symmetric space \(SL(n,\mathbb R)/SO(n,\mathbb R)\). It first gives an integral representation of the positive definite zonal spherical functions in terms of lower triangular unipotent matrices and Gram determinants, normalized by an expl…
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This paper derives trace formulas for a singular Sturm-Liouville operator on the half-line with Dirichlet boundary condition and an integrable potential satisfying a first moment condition. Using the denominator of the resolvent, expressed through the scattering function and its phase, the authors r…
D. D. IVLEV
This paper examines the construction of constitutive relations between the rate of deformation tensor and the stress tensor for a homogeneous, isotropic, incompressible viscous fluid satisfying Newton’s law in pure shear. Using a potential of deformation rates, including a generalized potential for …
K. I. Gringauz and V. A. Rudakov
This note describes a method for determining ionospheric electron concentration from the Faraday rotation of linearly polarized radio waves transmitted by vertically launched, three-axis-stabilized geophysical rockets. Using the relation between polarization rotation, radio frequency, geomagnetic-fi…
Unknown
The paper studies the existence of steady periodic gravity waves of non-small amplitude, extending earlier small-amplitude treatments of Nekrasov’s formulation. By recasting the free-boundary problem as a nonlinear integral equation in a cone and applying the theory of positive operators, it proves …
Unknown
This paper studies optimal linear filtering of discretely measured random sequences when observations are corrupted by independent measurement errors, with attention to computational recursions suitable for control machines. For a Brownian motion model with zero mean independent increments, it deriv…
E. I. Balabanov, A. A. Berlin, V. P. Parini, V. L. Tal’roze, E. L. Frankevich, and M. I. Cherkashin
This study examines the electrical conductivity of a broad series of synthesized polymers and molecular complexes containing conjugated bonds, heteroatoms, quinoid groups, chelate structures, and nonbenzenoid rings. Conductivity measurements on pressed tablets and films showed thermally activated be…
O. M. NEFEDOV, Ya. L. LEVKOV, and Corresponding Member of the USSR Academy of Sciences A. D. PETROV
This paper addresses the preparation of individual aryl chlorides and bromides from aromatic hydroxy compounds, aiming to overcome limitations of direct halogenation and earlier phosphorus pentahalide procedures that produced mixtures and lower yields. The authors propose heating the corresponding p…