Showing 50 of 25357 papers

Analysis of the Conditions for the Formation of Different Impurity Distributions in Crystals during Directional Crystallization

B. I. Birman, B. L. Timan
1965 SovietRxiv: ru-196501.63030

This paper analyzes conditions that produce prescribed impurity distributions in crystals during directional crystallization when impurity transport in the melt is governed by one-dimensional diffusion. Instead of solving the direct problem with fixed initial and boundary conditions, the authors for…

One-Dimensional Singular Equations in Generalized Functions

Unknown
1965 SovietRxiv: ru-196501.62796

This paper studies one-dimensional singular integral equations on a closed smooth contour when solutions are sought not only as functions in a basic countably normed space but also as generalized functions in its dual. It formulates solvability criteria for the nondegenerate case and for cases in wh…

Chemical changes during $\beta$-decay of iodine isotopes as a method for the synthesis of xenon compounds

A. N. Murin, I. S. Kirin, V. D. Nefedov, S. A. Grachev,
1965 SovietRxiv: ru-196501.62753

This paper examines whether chemical changes accompanying beta decay can be used to synthesize and detect xenon compounds, focusing on iodine-131 incorporated in potassium iodate and periodate crystals. The authors prepared radioactive iodide, iodate, and periodate salts, accumulated xenon-131m deca…

RELATION OF THE PROBABILITY OF RADIATIONLESS DEACTIVATION TO THE SPECTRAL CHARACTERISTICS OF COMPLEX ORGANIC COMPOUNDS

E. N. Viktorova, V. V. Zelinskii
1965 SovietRxiv: ru-196501.62720

This paper examines how the probability of radiationless deactivation in excited complex organic molecules is related to spectral characteristics, rather than to fluorescence quantum yield alone. Using measured fluorescence yields and excited-state lifetimes for diverse compounds in different solven…

On uniqueness classes for solutions of the Cauchy problem and representations of positive definite kernels

Unknown
1965 SovietRxiv: ru-196501.62525

The paper establishes a general uniqueness theorem for the Cauchy problem for systems of differential equations with constant coefficients, extending earlier results to systems of reduced order greater than one under exponential growth bounds involving slowly increasing functions satisfying a diverg…

On a Stereochemical Approach to Studying the Geometry of the Active Surface of Catalysts

E. I. Klabunovskii, Academician A. A. Balandin,
1965 SovietRxiv: ru-196501.62395

This paper develops a stereochemical approach to probing the geometry and microroughness of catalyst surfaces through hydrogenation of rigid triptycene derivatives. The authors argue that hydrogenation of molecules whose reactive double bond is sterically buried requires protruding active centers wi…

CRYSTAL STRUCTURE OF THE SIMPLEST SILICATES OF La AND Sm

È. A. Kuz'min, N. V. Belov
1965 SovietRxiv: ru-196501.62335

This paper determines the crystal structures of synthetic lanthanum and samarium silicates previously assigned different stoichiometries in the La2O3, SiO2 and Sm2O3, SiO2 systems. X-ray powder and Weissenberg data, Patterson and electron-density syntheses, and least-squares refinement show that the…

Monolayers of Polydimethylsiloxane Polymers. Rheological Properties and Microstructure of Filled Pastes

R. N. SHCHERBAKOVA, V. A. OGAREV
1965 SovietRxiv: ru-196501.62272

This study examines polydimethylsiloxanes of varying molecular weight as model organosilicon polymers, focusing on monolayer behavior, adsorption on white carbon black, filler dispersion, and the rheology of filled pastes. Measurements of surface pressure on water, adsorption from hexane, electron m…

Transition from external friction to viscous flow during surface melting of polymers

G. V. Vinogradov, V. A. Mustafaev, Yu. Ya. Podolsky,
1965 SovietRxiv: ru-196501.62108

This study examines how external friction of polymers changes with temperature during transitions from glassy or crystalline states to highly elastic and fluid states, with particular attention to surface melting. Using a specially developed vacuum tribometer, the authors measured steel on polymer f…

THREE-MEMBERED RINGS WITH A COORDINATION BOND

R. G. KOSTYANOVSKII, A. K. PROKOF’EV
1965 SovietRxiv: ru-196501.62059

This study examines whether geminal aminomethylstannanes can form three-membered rings through an intramolecular coordination bond from nitrogen to tin. A series of tin-containing geminal derivatives was synthesized and characterized by elemental analysis, NMR, IR, mass, UV, molecular weight measure…

ON SOLVING THE DIRICHLET PROBLEM BY THE METHOD OF REFINEMENTS USING DIFFERENCES OF HIGHER ORDERS

1. Consider the boundary-value problem
1965 SovietRxiv: ru-196501.61919

The paper studies finite difference refinement methods using higher order differences for the Dirichlet problem for the Poisson and Laplace equations. For rectangular domains and for domains with sufficiently smooth boundaries, it derives improved representations of the refined grid solutions and sh…

Some Properties of Unconditional Bases

Unknown
1965 SovietRxiv: ru-196501.61838

This note studies when the topology of a Banach space generated by a fixed sequence is determined by the numerical coefficient sequences for which the corresponding series converges. It gives a criterion, using positive inclination between spans of complementary subsequences, for a sequence to be an…

Correlation of Dissociation Constants of Carboxylic Acids $\mathrm{RCOOH}$ and Taft $\sigma^*$ Constants with Nuclear Quadrupole Resonance Frequencies of Halogens in Compounds of the Type $\mathrm{RHal}$

E. N. TSVETKOV, G. K. SEMIN, D. I. LOBANOV,
1965 SovietRxiv: ru-196501.61733

This paper examines whether nuclear quadrupole resonance frequencies of halogen nuclei in compounds of the type RHal correlate with substituent parameters and with the dissociation constants of corresponding carboxylic acids RCOOH. Using literature and original NQR data, mainly at 77 K, together wit…

On the Behavior of Macromolecules as Particles of a Separate Phase in Polymerization-Depolymerization Equilibrium

Unknown
1965 SovietRxiv: ru-196501.61598

This paper examines polymerization, depolymerization equilibrium from the thermodynamic viewpoint, focusing on whether macromolecules should be treated as components of a homogeneous solution or as particles of a separate phase. Starting from reversible chain-growth equilibria, it argues that for hi…

New Glass-Like Compounds

Unknown
1965 SovietRxiv: ru-196501.61452

This paper reports the formation of glass-like states in ternary semiconductor compounds of the type AII BIV C2V, a class structurally related to diamond-like semiconductors in which vitrification was not previously characteristic. The authors describe observations on quenched melts, especially CdGe…

A priori $L^p$ estimates for solutions of parabolic equations

M. D. Ramazanov
1965 SovietRxiv: ru-196501.61381

The paper develops a class of function spaces \(V_p\), defined through dyadic Fourier decompositions, for use in boundary value problems for parabolic equations. It establishes embeddings and comparison estimates with Sobolev spaces, proves trace and extension theorems, and gives multiplier and mult…

Experimental Study of Mach Reflection of Shock Waves at Speeds of $1000$–$3000$ m/s in Carbon Dioxide, Nitrogen, and Air

L. T. Gvozdeva, O. A. Predvoditeleva
1965 SovietRxiv: ru-196501.61119

This paper reports an experimental study of irregular, Mach reflection of strong shock waves in carbon dioxide, nitrogen, and air at incident velocities of about 1000 to 3000 m/sec. Using a shock tube, wedge reflectors of several apex angles, Schlieren visualization, high-speed photography, and stre…

FREQUENCIES OF FREE VIBRATIONS OF RECTILINEAR CHAINS

Unknown
1965 SovietRxiv: ru-196501.61055

This paper treats the determination of small free longitudinal vibration frequencies in finite rectilinear chains composed of diatomic and triatomic molecules under exact boundary conditions. Using previously introduced polynomial systems satisfying recurrence relations, the equations of motion are …

Migration of Radical States in the Solid Phase

A. I. MIKHAILOV, I. S. GAPONOVA, Ya. S. LEBEDEV
1965 SovietRxiv: ru-196501.61050

This study examines whether radical states can migrate through solid organic matrices at temperatures far below melting, a question important for understanding solid-phase radical reactions. Radicals were generated at powder surfaces by a high-frequency discharge at about 77 K and monitored by EPR, …

A new $D$-theorem in the theory of finite groups

Unknown
1965 SovietRxiv: ru-196501.60947

This note proves a new D-theorem for finite groups concerning Hall subgroups relative to a set of primes. The main result states that if a normal subgroup has a Hall subgroup whose Sylow subgroups are cyclic, and the corresponding quotient satisfies a D-condition with an Ore-dispersive Hall subgroup…

On tensor products of $C^*$-algebras

A. Guichardet (France)
1965 SovietRxiv: ru-196501.60918

This paper studies tensor products of \(C^*\)-algebras by introducing a norm defined through representations of the algebraic tensor product arising from commuting representations on a common Hilbert space. It shows that this norm is the largest \(C^*\)-cross norm with the standard tensor product pr…

Synthesis of Disaccharides

Corresponding Member of the Academy of Sciences of the USSR N. K. Kochetkov, A. Ya. Khorlin, A. F. Bochkov
1965 SovietRxiv: ru-196501.60910

This paper examines the application of the orthoester method for forming glycosidic bonds to the synthesis of disaccharides with glycopyranosidic linkages. Sugar orthoacetates were condensed with protected sugar alcohols in boiling nitromethane in the presence of catalytic mercury bromide, giving pr…

Mass relations in the octet model with mixing

Unknown
1965 SovietRxiv: ru-196501.60805

This paper studies mass relations in the SU(3) octet model when physical particles may arise from mixing among a finite number of unitary multiplets. Using tensor-operator transformation properties and a graph-theoretic representation of irreducible multiplets in the hypercharge and isospin plane, i…

On the Method of Characteristic Coefficients

Unknown
1965 SovietRxiv: ru-196501.60731

The paper develops a general method of characteristic coefficients for comparing distribution functions relative to a fixed continuous strictly increasing distribution function. By transforming the real line to a finite interval and using Fourier and Chebyshev expansions, it represents the differenc…

On the Activation of Iron by Halide Ions

Ya. M. Kolotyrkin, L. I. Freiman
1965 SovietRxiv: ru-196501.60539

This study examines whether iron, like other passivating metals, exhibits a critical activation potential in halide-containing solutions, a question complicated by conflicting earlier results in acidic media. Using mainly nonstationary potentiostatic polarization measurements, with supporting galvan…

PROPAGATION VELOCITY OF A POWERFUL LIGHT PULSE IN AN INVERSELY POPULATED MEDIUM\

N. G. Basov, R. V. Ambartsumyan, V. S. Zuev, P. G. Kryukov, V. S. Letokhov
1965 SovietRxiv: ru-196501.60462

The paper analyzes the propagation of an intense light pulse through a two-level medium with inverse population, focusing on nonlinear amplification when the pulse energy density is sufficient to deplete the inversion. Using radiation-transfer rate equations, it argues that preferential amplificatio…

STUDY OF ELECTRON PARAMAGNETIC RESONANCE IN BIRADICALS OF THE HYDRAZINE SERIES

Yu. M. Ryzhmanov, Yu. V. Yablokov, B. M. Kozyrev, R. O. Matevosyan, L. I. Stashkov
1965 SovietRxiv: ru-196501.60367

This paper investigates intramolecular exchange interactions between unpaired electrons in hydrazine-series biradicals containing two hydrazyl groups, using electron paramagnetic resonance spectra of oxidized solutions in dioxane. The authors compare experimental hyperfine structures with calculated…

On the “Suspension” Electrode

Unknown
1965 SovietRxiv: ru-196501.60309

The paper develops a theoretical treatment of polarization curves for suspension electrodes, in which metal powder particles transfer charge during collisions with a polarized current collector and then consume that charge in electrochemical reactions. Equations are derived for the suspension-carrie…

Effect of the nature of the salt cation and anion on the state of the coordinated amino group

M. S. BARVINOK, I. S. BUKHAREVA
1965 SovietRxiv: ru-196501.60172

This study examines how the cation and anion in salts affect the state of the coordinated amino group in aniline complexes of cobalt, nickel, copper, and zinc sulfates and halides. Infrared absorption spectra were measured for compounds of the types metal sulfate with two aniline molecules and metal…

On W. Blaschke’s Problem on Quasi-Translation Surfaces

Unknown
1965 SovietRxiv: ru-196501.60089

This paper studies Blaschke’s problem for quasi-translation surfaces in three-dimensional quasi-elliptic space, equivalently two-parameter motions of the Euclidean plane that decompose into products of one-parameter motions in more than one way. Using the notions of quasi-conjugate and Chebyshev net…

ON THE STABILITY OF A RAREFIED PLASMA IN SHORT TRAPS

V. V. Arsenin
1965 SovietRxiv: ru-196501.60010

This paper analyzes drift and flute instabilities of a rarefied inhomogeneous plasma in finite magnetic traps that are long for ions but short for electrons, so that electrons respond to the perturbing field averaged along the trap. Using modified charge density expressions and dispersion relations …

New books

A. R. Shakun
1965 SovietRxiv: ru-196501.59999

This bibliographic notice surveys recently published books and journal articles relevant to differential equations, boundary value problems, mathematical physics, integral equations, numerical methods, and stability theory. It lists monographs, lecture texts, edited proceedings, and research papers …