Showing 50 of 25456 papers

On the transformation operator for Sturm–Liouville differential equations in the non-self-adjoint case

Unknown
1962 SovietRxiv: ru-196201.53201

This paper studies transformation operators for Sturm-Liouville differential equations on the positive half-line in the non-self-adjoint case, allowing complex potentials and boundary parameters. Under the integrability condition that the first moment of the potential is finite, it uses the principa…

Bounded Solutions of Boundary Value Problems without Initial Conditions for Parabolic Equations and Inverse Boundary Value Problems

Unknown
1962 SovietRxiv: ru-196201.53125

This note studies bounded classical solutions of parabolic boundary-value problems in infinite time cylinders, without prescribed initial conditions. Using a method adapted from elliptic theory and maximum principles, it proves existence and uniqueness results for linear Dirichlet and Neumann proble…

On a Class of Weighted Embedding Theorems

Unknown
1962 SovietRxiv: ru-196201.53078

The paper develops a class of weighted Sobolev type spaces in Euclidean space defined by radial differential operators, including fractional radial derivatives, with weights determined by distance from a point or submanifold. It proves embedding and norm equivalence results showing that lower order …

Molecular Weight Distribution of Stereoregular Polybutadiene During Polymerization Under the Influence of “Cobalt” Systems

V. A. KRECHANOVSKII, Corresponding Member of the Academy of Sciences of the USSR B. A. DOLGOPLOSK,
1962 SovietRxiv: ru-196201.52997

This study examines how monomer concentration and conversion affect the molecular weight and molecular weight distribution of stereoregular cis-1,4-polybutadiene formed in benzene solution using soluble cobalt complex catalysts with diisobutylaluminum chloride. Molecular weight distributions were de…

Preparation of 2-arylindan-1-one-3-ols by catalytic hydrogenation of 2-arylindane-1,3

T. T. DUMPIS and Academician of the Academy of Sciences of the Latvian SSR G. Ya. VANAG
1962 SovietRxiv: ru-196201.52987

This paper examines the preparation of 2-arylindan-1-ol-3-ones by selective catalytic hydrogenation of readily available 2-arylindandione-1,3 derivatives, motivated by the physiological importance of related anticoagulant indandiones. Hydrogenation of 2-phenylindandione-1,3 in ethanol at room temper…

Kinetics of aquation of the monofluorophosphate ion

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1962 SovietRxiv: ru-196201.52913

The study quantitatively investigates the kinetics of aquation of dissolved monofluorophosphate ion in neutral, alkaline, and strongly acidic media. Using phosphate determinations on sealed, thermostatted samples, the authors show that hydrolysis follows the stoichiometry yielding orthophosphate and…

Inelastic $pn$ interactions at an energy of 9 BeV

V. A. BOTVIN, Academician of the Academy of Sciences of the Kazakh SSR, Zh. S. TAKIBAEV, P. A. USIK
1962 SovietRxiv: ru-196201.52818

This paper reports experimental results on inelastic proton-neutron interactions at 9 BeV, based on 236 selected events recorded in nuclear emulsion exposed to the internal proton beam of the Joint Institute for Nuclear Research synchrophasotron. The authors analyze charged-particle multiplicities, …

On thermogalvanic corrosion of metals

Unknown
1962 SovietRxiv: ru-196201.52814

This paper examines thermogalvanic corrosion of metals under temperature gradients, addressing the conventional assumption that the heated region of a metal surface necessarily becomes anodic and therefore corrodes preferentially. Model thermogalvanic cells with separated hot and cold electrodes wer…

On the Theory of Periodic and Limit-Periodic Jacobi Matrices

Unknown
1962 SovietRxiv: ru-196201.52787

This note develops an algebraic approach to periodic and limit-periodic generalized Jacobi matrices, using commutation relations and operator-theoretic spectral arguments. It proves that commuting generalized Jacobi matrices satisfy an algebraic relation, and in the complex-symmetric periodic case d…

On the EPR Spectrum of Benzyl Radicals

V. A. TOLKACHEV, I. I. CHKHEIDZE, N. YA. BUBEN
1962 SovietRxiv: ru-196201.52783

This paper reports an experimental electron paramagnetic resonance study of benzyl radicals generated by low-temperature photolysis of benzyl chloride adsorbed on degassed silica gel. The observed spectrum is interpreted as a triplet, with a splitting of about 16.5 Oe from the methylene protons, eac…

THE INFLUENCE OF TRAPPING LEVELS ON THE KINETICS OF ELECTRONIC PROCESSES IN \(p\)–\(n\) JUNCTIONS

Academician of the Academy of Sciences of the Uzbek SSR É. I. ADIROVICH and E. M. KUZNETSOVA
1962 SovietRxiv: ru-196201.52681

A theory is developed for the small-signal kinetics of minority carriers in the base region of a p-n junction containing trapping levels with arbitrary capture cross section and binding energy. Solving coupled diffusion, recombination, trapping, and thermal release equations, the paper derives the c…

On the Change in Dispersity during the Hydration of Calcium Silicates $\beta$ - $\mathrm{Ca}_2\mathrm{SiO}_4$ and $\mathrm{Ca}_3\mathrm{SiO}_5$

Unknown
1962 SovietRxiv: ru-196201.52601

This study examines how dispersity changes during hydration of beta dicalcium silicate and tricalcium silicate and how these changes relate to structure formation in concentrated pastes with quartz sand. Using low temperature nitrogen adsorption, bound water measurements, and plastic strength tests,…

Spin Density Distribution in Some Metal Ketyls

Unknown
1962 SovietRxiv: ru-196201.52593

This paper calculates spin density distributions in potassium ketyls of benzophenone, benzil, and fluorenone using a simple LCAO molecular orbital method. Ketyl formation is treated as electron transfer from the metal to the lowest vacant ketone orbital, with oxygen included through adjustable Coulo…

Free Radicals in the Oxidation of Phenols in the Presence of Complex Catalysts

L. V. GORBUNOVA, M. L. KHIDEKEL,
1962 SovietRxiv: ru-196201.52524

This study investigates the role of free radicals in the oxidation of 2,4,6-tri-tert-butylphenol by oxygen in the presence of homogeneous copper amine complex catalysts. Using electron paramagnetic resonance, the authors detect 2,4,6-tri-tert-butylphenoxyl radicals during oxidation and compare the b…

Effect of Aluminum on the Stability of the Beta Phase in Titanium–Molybdenum–Iron Alloys

N. V. Ageev, L. P. Grankova, P. K. Novik
1962 SovietRxiv: ru-196201.52355

This study examines how additions of 1 to 3 percent aluminum affect the stability and decomposition of the quenched beta phase in titanium, molybdenum, iron alloys. Alloys were prepared by vacuum arc melting, quenched from selected temperatures, aged between 200 and 600 degrees, and analyzed by micr…

Kinetics of Anodic Oxidation of Niobium

A. Ya. SHATALOV, T. P. BONDAREVA
1962 SovietRxiv: ru-196201.52086

The paper examines the kinetics of anodic oxidation of niobium in 1 N solutions of sulfuric, phosphoric, nitric, and hydrochloric acids, focusing on the relation between current density, oxide film growth, and electrode potential. Using constant-current polarization measurements, the authors analyze…

On One Possible Mechanism of Ejections on the Sun

V. S. KOMELKOV
1962 SovietRxiv: ru-196201.51947

The paper proposes magnetohydrodynamic vortices as a possible mechanism for solar ejections, including active and eruptive prominences and flares. Drawing on laboratory experiments with toroidal plasma vortices and jets, it describes their stability, plasmoid formation, magnetic-field structure, vel…

Enthalpy and heat capacity of tungsten in the temperature range $0-2400^\circ$ C

V. A. KIRILLIN, A. E. SHEINDLIN, and V. Ya. CHEKHOVSKOI
1962 SovietRxiv: ru-196201.51576

This paper reports experimental determinations of the enthalpy and heat capacity of tungsten over an extended high-temperature range up to 2400 degrees Celsius, addressing discrepancies and limited coverage in earlier measurements. Using the mixing method with polished powder-metallurgy tungsten sam…

Tuberculostatic Properties of a Mixed Thiosemicarbazone Guanylhydrazone of 1,3-Indandione, a Representative of a New Type of Antituberculosis Agents

A. P. Veveris, S. K. Germane, M. A. Alberta, G. A. Grigalinovich,
1962 SovietRxiv: ru-196201.51484

This study evaluates thiogin, the hydrochloride salt of the mixed thiosemicarbazone guanilhydrazone of indandione-1,3, as a representative of a proposed new class of antituberculosis agents active against drug-resistant mycobacteria. Using in vitro serial dilution assays and in vivo experiments in g…

Inorganic Models of the Hill Reaction

A. A. Krasnovsky, G. P. Brin
1962 SovietRxiv: ru-196201.51441

This paper investigates inorganic model systems for the Hill reaction, replacing chlorophyll with semiconductor photocatalysts to study light-driven reduction of ferric compounds coupled to oxygen evolution from water. Suspensions of titanium dioxide, zinc oxide, and tungstic acid were illuminated i…

Reversible Photochemical Reduction of Polymethine Dyes

A. A. Krasnovskii, N. N. Drozdova
1962 SovietRxiv: ru-196201.51402

This paper investigates the reversible photochemical reduction of polymethine thiacarbocyanine dyes in pyridine solutions using ascorbic acid and cysteine as reducing agents. By monitoring absorption changes under illumination and in darkness, the authors show that dyes with longer polymethine chain…

The Derivative and the Integral from a General Point of View

Unknown
1962 SovietRxiv: ru-196201.51297

Tolstov proposes a highly general formal framework for differentiation and integration on an abstract space, defined through a linear correspondence between set functions and point functions satisfying positivity and normalization conditions. The paper derives basic properties of the resulting forma…

Qualitative Study of a Circular Symmetrically Compressed Plate under a Large Edge Load (Proof of the Appearance of a Corrugation)

N. F. MOROZOV
1962 SovietRxiv: ru-196201.51250

This paper studies the onset of asymmetric deflection, or corrugation, in a circular plate that is rigidly supported and uniformly compressed along its boundary without transverse loading. The plate is formulated through the Kirchhoff equations and an associated energy functional, whose stationary p…

New Computational Methods in Mass Spectrometric Studies with a Double Effusion Chamber and Thermodynamic Properties of Lithium Iodide

Unknown
1962 SovietRxiv: ru-196201.51021

This paper develops computational procedures for double effusion cell mass spectrometry of vapors containing monomeric and associated molecules, aiming to obtain mass spectral coefficients, vapor composition, and dissociation energies from a single temperature series. The method uses the expected li…

On the Dependence Between the Order of Growth of Orthonormal Polynomials and the Nature of the Measure

Ya. L. GERONIMUS
1962 SovietRxiv: ru-196201.50893

The paper studies how the growth of polynomials orthonormal on the unit circle with respect to a mass distribution depends on local and global properties of that distribution, especially the zeros of its density. It derives upper bounds in terms of the modulus of increase of the distribution and low…

Extraction of technetium-99 with acetone

and Academician Vikt. I. SPITSYN
1962 SovietRxiv: ru-196201.50777

This paper investigates the use of acetone for extracting technetium-99 from alkaline solutions, particularly those arising in the processing of neutron-irradiated molybdenum. The authors show that sodium hydroxide and sodium molybdate can salt out acetone from aqueous media, enabling phase separati…

Thin-layer chromatography of polyoxy compounds on cellulose

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1962 SovietRxiv: ru-196201.50653

This paper describes a thin-layer chromatographic method for separating carbohydrates and polyhydric alcohols on cellulose powder plates fixed with gypsum. The authors prepared stable cellulose layers, tested a series of alcohol, ester, water, pyridine, and ammonia solvent systems, and determined Rf…

Exo-interaction band in the spectra of diphenylalkane salts with $\mathrm{NO}_2$ and $\mathrm{OH}$ groups in different rings

Unknown
1962 SovietRxiv: ru-196201.50426

This study examines whether phenolate groups in nitro-substituted diphenylmethane and diphenylethane systems can form colored donor-acceptor complexes analogous to those formed by amino donor groups. The authors synthesized hydroxy derivatives, converted them to sodium phenolate salts, and compared …

The applicability of the dielectric constant, as a characteristic of the interaction in solutions

V. V. ZELINSKII and V. P. KOLOBKOV
1962 SovietRxiv: ru-196201.50307

This paper examines whether the dielectric constant is a theoretically justified parameter for describing solvent effects on electronic spectra and intermolecular interactions in solutions. Critiquing continuum approaches based on the Onsager model, the authors argue that interactions between locali…

Kinetics of Some Electrochemical Oxidation-Reduction Reactions on Metals

R. R. Dogonadze and Yu. A. Chizmadzhev
1962 SovietRxiv: ru-196201.50223

This paper develops a quantum mechanical treatment of heterogeneous electrochemical oxidation reduction reactions on metals for the case in which the inner coordination sphere of the reacting ion is assumed not to deform during electron transfer. Using a one particle approximation, continuum solvent…

The Effect of $\gamma$-Radiation on Glasses of the $\mathrm{Na_2O}$—$\mathrm{Al_2O_3}$—$\mathrm{SiO_2}$ System

Unknown
1962 SovietRxiv: ru-196201.50021

This study examines how composition affects radiation-induced optical absorption in glasses of the Na2O, Al2O3, SiO2 system, where aluminum may function either as a network former or modifier. Glasses with varying Na2O and Al2O3 contents were gamma-irradiated, and difference absorption spectra were …

On the Interaction of Tri-n-butyl Phosphate with Nitric Acid and Water

A. V. Nikolaev, K. E. Mironov, E. V. Karaseva
1962 SovietRxiv: ru-196201.49997

This study examines the interactions of tri-n-butyl phosphate with nitric acid and water, motivated by its use as an extractant in nitric acid media. Using physicochemical analysis, the authors measured density, viscosity, crystallization behavior, and mutual solubility in the binary systems tri-n-b…