A. S. VYSOCHANSKII
This study examines the photoluminescence of thallium chloride in relation to its absorption, excitation, emission spectra, and temperature behavior. Using thin evaporated layers and several forms of TlCl phosphors, the work identifies absorption bands near 3520 and 3800 Å that increase after ultrav…
B. M. BUDAK and A. D. GORBUNOV
This note studies a finite difference method for the nonlinear Goursat problem \(u_{xy}=f(x,y,u,u_x,u_y)\) with prescribed data on the coordinate axes, allowing a general right hand side under continuity and Lipschitz assumptions. The authors construct a bilinear interpolating approximate solution f…
Maks Born
V. A. Fok
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This study investigates adsorption of water vapor on high purity gold foil using modified high sensitivity adsorption balances and pressure measurement systems designed for very small mass changes. After vacuum heat treatment of the gold, water vapor adsorption at 18°C showed an initial rapid uptake…
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This study examines a chemical method for preparing trivalent neptunium, a state that is difficult to obtain and preserve because of rapid oxidation in solution. Neptunium(IV) solutions in nitric and hydrochloric acid were treated with rongalite, and the resulting valence states were identified spec…
I. L. Knunyants and N. S. Vyazankin
This study examines the reductive dimerization of derivatives of alpha,beta-unsaturated acids using alkali metal and aluminum amalgams under comparable conditions. By reducing a range of esters, nitriles, amides, and related compounds, the authors assess how conjugation, steric effects, substituent …
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This paper examines the interaction forces between the Earth’s core and shell that arise from nutational motion, using differences between theoretical nutation for a rigid Earth and astrometrically observed nutation of the shell. Fedorov derives expressions for the moments of these forces, estimates…
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The paper investigates narrow absorption bands near the absorption edge of hexagonal CdS single crystals at 20.4 K, using polarized-light microspectroscopy on crystals of different thickness, preparation, and local quality. The authors compare spectra from different specimens and from small regions …
Ya. I. ZHITOMIRSKII
This paper studies the Cauchy problem for a second order parabolic equation with variable coefficients in the whole space, allowing solutions with rapid growth at infinity. Using a weighted Hilbert space determined by a function related to the drift coefficients, the operator is shown to be symmetri…
PLANT PHYSIOLOGY
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This study examines the alkenylation of anisole with piperylene as part of a broader investigation of aromatic alkylation by diene hydrocarbons. Using several acidic catalysts, especially boron fluoride complexes, phosphoric acid, sulfuric acid, aluminum chloride, and related systems, the authors co…
V. G. Tel’kovskii and V. I. Pistunovich
This paper investigates the transmission of intermediate energy ions through very thin silver foils, a range for which data beyond protons had been lacking. The authors describe a method for preparing homogeneous fine crystalline silver foils about 40 to 60 millimicrons thick, then measure energy an…
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This study examines how specific intermolecular interactions between solutes and solvents affect deuterium exchange in hydrocarbons, ketones, and methylated nitrogen heterocycles. Rate measurements in deuterated ethanol, liquid ammonia, and alcoholate solutions show that hydrocarbons and ketones exc…
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This paper investigates structural transformations in sodium borosilicate glass Na-7/23 during heat treatment, using sorption measurements on porous glasses produced by acid leaching and characterizing pore radius and total pore volume. Comparisons of quenched and slowly cooled initial glasses show …
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This study investigates the mechanical properties of very thin aqueous layers separating droplets or solidified particles in highly concentrated benzene, water emulsions stabilized with saponin. Using the emulsion as a narrow-pore filtration viscometer, the authors estimate layer thickness from micr…
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This paper examines the ordered, retrograde motion of the cathode spot of a low-pressure electric arc in a magnetic field, emphasizing the previously neglected role of the arc’s own magnetic field. It argues that superposition of the external field with the cathode spot’s self-field creates an asymm…
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The paper studies iterative solution of nonlinear functional equations in complete linear spaces normed by semi-ordered spaces, extending Newton and Chebyshev methods through a higher-order process interpreted as a method of tangent parabolas. Using a majorant equation, it proves that existence and …
Let us consider the differential equation
This paper develops Frommer’s method for studying characteristics of analytic differential equations near a singular point when possible real tangents occur. It defines the order and measure of curvature of characteristics entering the origin, introduces a polygonal diagram constructed from exponent…
A system of differential equations in partial derivatives with constant coefficients of the form
The paper studies evolutionary systems of linear partial differential equations with constant coefficients and shows how such systems can be transformed into scalar equations or independently integrated subsystems. Using invariant factors and polynomial similarity transformations of the coefficient …
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This paper derives similarity integrals for equations describing plane viscous gas flows coupled with heterogeneous surface reactions and homogeneous volume reactions, under incompressible low-speed assumptions and unit diffusion number. For heterogeneous reactions, it introduces a combined concentr…
G. M. SHEFTER
This paper derives an asymptotic solution for one-dimensional unsteady motion of an ideal gas with cylindrical symmetry, extending characteristic-variable methods previously applied to shock-wave attenuation. The solution represents direct and reflected waves, together with their interaction, as ser…
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The paper examines the natural broadening of atomic energy levels associated with the interaction of an atom and the electromagnetic field, a question usually inferred from spectral line broadening rather than treated directly. Using the stationary Schrödinger equation for a two-level atom coupled t…
V. V. ALPERS, I. I. GUREVICH, V. M. KUTUKOVA, A. P. MISHAKOVA,
This paper reports preliminary observations of explosive showers produced by high energy cosmic particles using a nuclear emulsion chamber exposed for seven hours in the stratosphere at 27 km. From systematic examination of the emulsion, the authors identified 29 explosive showers, determined primar…
K. A. DOLMATOVA and V. M. KELMAN
A beta spectrometer using a longitudinal uniform magnetic field is described in which spherical aberration is compensated by a transverse magnetic field varying approximately as inverse radius. The authors derive electron trajectory expressions for the combined field, use them to determine the bound…
B. S. Dzhelepov
V. V. TOLMACHEV
This paper develops a method for determining time correlation functions in statistical systems with long range interactions, focusing on a plasma in statistical equilibrium without external fields and on times shorter than the mean free time. Starting from a hierarchy of equations for symmetric dist…
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The thermal decomposition of isobutylene was studied to clarify its kinetics, product formation, and chain mechanism, particularly the proposed transfer of hydrogen atoms from radicals to olefin double bonds. Experiments in a static vacuum apparatus, supplemented by thermochromatographic gas analysi…
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This paper examines how equilibrium radiation pressure can be incorporated into gas dynamic problems that are usually treated as adiabatic ideal gas motions. It argues that, when the radiation can be represented with the same effective adiabatic exponent as the gas, the standard equations and bounda…
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This paper develops sharp boundary inequalities for derivatives of analytic, possibly multivalued functions of finite degree in plane domains obtained by removing a perfect subset of the real axis. Using conformal mappings of the upper half-plane onto slit domains of several types, the authors const…
B. N. DOLGOV, G. V. GOLODNIKOV, and K. G. GOLODOVA
This paper examines whether silicon paraffins can undergo catalytic dehydrogenation, using trimethylbutylsilane as a test substrate after earlier work found no dehydrogenation of tetraethylsilane under selected conditions. Experiments over a selected stable catalyst at space velocity 30 showed forma…
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This study examines how high-energy electron irradiation affects galvanic currents in zirconium, aluminum and zirconium, iron pairs immersed in moving 3 percent sodium chloride solution. Experiments showed that irradiation caused a rapid 15 to 20 fold increase in current only when the zirconium cath…
B. P. BERING and V. V. SERPINSKII
This paper examines conditions under which the differential heat and entropy of adsorption can be calculated from a single adsorption isotherm, rather than from calorimetry or temperature-dependent isosteres. Using Polanyi’s adsorption potential condition and thermodynamic relations including the Cl…
N. N. SAKHAROVA
This study examines the formation of thiourea complexes with acetates of the cerium-group rare earth elements lanthanum, cerium, praseodymium, and neodymium. Aqueous solutions of the anhydrous metal acetates were reacted with excess thiourea under neutral or weakly acidic conditions, and the resulti…
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This note studies boundary value problems for eigenvalues and eigenfunctions of even order ordinary differential equations in which a small positive parameter multiplies the highest derivative. Using asymptotic representations of fundamental solutions, including boundary layer terms, it derives expa…
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This paper develops a theory for the force interaction of stationary spherical droplets at arbitrary separation during adiabatic phase transition at the psychrometric temperature. Using the small ratio of vapor to air density as an expansion parameter, the authors reduce the coupled hydrodynamic and…
B. A. Kazanskii, M. N. Marushkin, O. D. Sterligov, and A. P. Belenkaya
This study examines catalytic dehydrogenation of isopentane to isoamylenes as a possible route toward isoprene production for synthetic rubber. Experiments were carried out in a flow apparatus using a potassium-promoted alumina, chromia catalyst, with variation of temperature, space velocity, contac…
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The paper studies the biharmonic Dirichlet type problem in the unit disk with prescribed boundary values for the function and its radial derivative, relating Sobolev regularity of the solution to Nikol’skii type smoothness classes of the boundary data. Using Fourier expansions of biharmonic function…
Ya. G. Dorfman
M. A. Grabovskii
A. A. BALANDIN, N. V. NIKIFOROVA, and L. Kh. FREIDLIN
This study examines the kinetics and order of hydrogenation of peroxide compounds containing additional functional groups on a skeletal nickel catalyst. Using multiplet theory and bond energy calculations, the authors predict the relative ease of hydrogenation for nitro, peroxide, acetylenic, and et…
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This study examines how relative high-temperature strength depends on composition in the Cu-Ni-Si ternary system, focusing on the role of phases coexisting with the copper-based solid solution. Binary Cu-Ni and Cu-Si alloys and ternary alloys along six radial sections were tested by long-time hardne…
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This paper investigates the continuous telomerization of ethylene with carbon tetrachloride to prepare higher alpha,alpha,alpha,omega-tetrachloroalkanes, with emphasis on conditions favoring the C9 to C15 fractions. Autoclave and flow-reactor experiments were used to examine the effects of temperatu…
A. V. TOPCHIEV and V. N. ANDRONOV
This study examines the catalytic alkylation of isopentane with propylene and isobutylene using monofluorophosphoric, difluorophosphoric, and orthophosphoric acids saturated with boron fluoride. Experiments compared catalyst operating life, alkylate yield, fractional composition, unsaturation, and p…
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This paper examines surface phenomena in ternary metallic solutions of Hg-Cd-K and Hg-Cd-Cs at 22 degrees, focusing on concentration buffering when cadmium and alkali-metal additives have opposite effects on mercury surface tension. Surface-tension measurements for 135 Hg-Cd-Cs solutions are compare…
K. I. ALEKSEEVA and N. L. GRIGOROV
This paper reports stratospheric measurements of the inelastic proton-proton interaction cross section for cosmic-ray protons with mean energy about 20 BeV. The experiment compared interactions in paraffin and graphite filters using counter telescopes and hodoscopic recording, applying two approache…
S. L. SOBOLEV
This paper develops extensions of spaces of Banach-valued abstract functions associated with integration, starting from Bochner’s construction and replacing point functions by additive set functions. Sobolev introduces broader norms of the type Phi p, shows that completion may require ideal elements…
F. Reines, C. Cowan (jr.)