Showing 50 of 25456 papers

On the Propagation of Rayleigh Waves Along the Surface of a Homogeneous Elastic Body of Arbitrary Shape

V. M. BABICH
1961 SovietRxiv: ru-196101.76856

The paper develops a ray-theoretic generalization of classical Rayleigh waves for a homogeneous elastic body bounded by an arbitrary analytic surface. Longitudinal and transverse ray solutions of the elasticity equations are combined with complex phase functions chosen to satisfy eikonal equations, …

WIND PROFILE IN THE NEAR-WATER LAYER OVER LAKE LADOGA

Unknown
1961 SovietRxiv: ru-196101.76736

This paper examines the vertical wind-speed profile in the near-water atmospheric layer over Lake Ladoga, based on summer 1959 measurements from contact anemometers mounted at several heights on Khankhipasi Island. The observations were grouped by wind direction, speed, and thermal stratification, u…

On a Geometric Problem in Approximation Theory

A. F. TIMAN
1961 SovietRxiv: ru-196101.76543

This note studies deviations between sets in metric and normed spaces arising in approximation theory, beginning with finite-dimensional geometric models in the uniform metric. It derives exact formulas for the distance from one polyhedral class to another and transfers these formulas to classes of …

Energy Levels of $\mathrm{Gd}^{156}$ and $\mathrm{Gd}^{158}$

L. V. GROSHEV, A. M. DEMIDOV, V. A. IVANOV, V. N. LUTSENKO, and V. I. PELEKHOV
1961 SovietRxiv: ru-196101.76287

The study investigates low-lying energy levels of the even-even nuclei Gd-156 and Gd-158 formed by thermal neutron capture on enriched Gd-155 and Gd-157. Gamma-ray spectra and internal-conversion electron spectra were measured with magnetic spectrometers, allowing construction of transition schemes …

Study of Steric Interactions in Some Halogen Derivatives of Naphthalene

A. I. KITAYGORODSKII, Yu. T. STRUCHKOV, G. L. AVOYAN, and M. A. DAVYDOVA
1961 SovietRxiv: ru-196101.76208

This paper examines steric interactions in hindered halogen derivatives of aromatic compounds as a basis for developing a semiempirical treatment of molecular strain and bond deflection. Using X-ray structural analysis of crystal electron-density projections, the authors determined the structures of…

The Effect of Oxygen Atoms on Combustion at Low Pressures

Unknown
1961 SovietRxiv: ru-196101.76107

This study examines how atomic oxygen affects flame propagation and low-pressure combustion limits in propane, butane, and oxygen mixtures, with attention to the relation between ordinary flames and atomic flames. Oxygen atoms were generated in a glow discharge and introduced into a low-pressure com…

Dipole Moments of Imidazole and Its Derivatives

O. A. OSIPOV, A. M. SIMONOV, V. I. MINKIN, and A. D. GARNOVSKII
1961 SovietRxiv: ru-196101.75823

This paper reexamines the dipole moments and structural interpretation of imidazole and several derivatives, addressing conflicting earlier claims that unusually large moments imply zwitterionic or intermolecular ionic structures. Dielectric permittivities of dilute dioxane solutions were measured a…

Intersection of stable and nonequilibrium tetrahedra in the seven-component reciprocal system $\mathrm{Li}$ , $\mathrm{Na}$ , $\mathrm{Rb}$ , $\mathrm{Tl}\parallel\mathrm{Br}$ , $\mathrm{Cl}$ , $\mathrm{NO}_3$ , $\mathrm{SO}_4$

N. S. DOMBROVSKAYA, N. V. KHOKHLOVA, and E. A. ALEKSEEVA
1961 SovietRxiv: ru-196101.75561

The paper examines the intersection, or conversion line, of stable and nonequilibrium tetrahedra in the quinary reciprocal salt system Li, Na, Rb, Tl with Br, Cl, nitrate, and sulfate ions. It represents the relevant exchange reactions algebraically and experimentally studies compositions along the …

On a Method for Studying Linear Systems of Differential Equations with Quasiperiodic Coefficients

Let us consider the system of equations
1961 SovietRxiv: ru-196101.75456

This paper studies linear systems of differential equations whose coefficients are quasiperiodic functions with a common frequency basis. The method embeds the original system into a system in several periodic variables and uses the resulting periodicity to define a characteristic equation, under an…

Radiation measurements during the flight of the third space rocket

Corresponding Member of the Academy of Sciences of the USSR S. N. Vernov, A. E. Chudakov, P. V. Vakulov,
1961 SovietRxiv: ru-196101.75317

This paper reports preliminary measurements of charged-particle and photon radiation obtained during the flight of the third Soviet cosmic rocket from 4 to 18 October 1959. Using scintillation and gas-discharge counters with different shielding, the authors estimate radiation doses in the outer radi…

ON THE APPLICATION OF HIGH PRESSURE TO THE STUDY OF COLLECTIVE INTERACTION IN POLYMERIZATION PROCESSES

Unknown
1961 SovietRxiv: ru-196101.75271

The paper discusses the use of high pressure as a kinetic tool for studying collective interactions in polymerization and related processes. It argues, using transition state theory, that the pressure dependence of reaction rates can yield the volume change associated with transition state formation…

1,1'-Bis-acylperoxy-dicyclohexyl peroxides

Yu. A. Oľdekoп, K. L. Moiseichuk, Academician of the Academy of Sciences of the BSSR
1961 SovietRxiv: ru-196101.75189

This study investigates the acylation of 1,1′-bis-hydroperoxy-dicyclohexyl peroxide as a route to 1,1′-bis-acylperoxy-dicyclohexyl peroxides, a class of organic peresters related to industrial cyclohexanone peroxide mixtures. Reactions with acetic, propionic, butyric, capric, and chloroacetic acid c…

ON ONE CLASS OF SELF-SIMILAR MOTIONS OF AN ULTRARELATIVISTIC GAS

1.** The relativistic equations of motion of an ideal continuous medium have the form
1961 SovietRxiv: ru-196101.75167

The paper studies centrally symmetric self-similar motions of an ideal ultrarelativistic gas with equation of state ε = 3p, including the photon gas as an exact case. Using dimensional analysis, the relativistic hydrodynamic equations are reduced to ordinary differential equations in the similarity …

On a Generalization of Lindemann's Theorem

A. B. SHIDLOVSKII
1961 SovietRxiv: ru-196101.75165

This paper generalizes Lindemann’s theorem from the exponential function to a class of transcendental Siegel E-functions satisfying first order linear differential equations with polynomial coefficients. Using earlier algebraic independence criteria for E-functions, together with lemmas on the algeb…

On the Homotopy Theory of Fibered Spaces

Unknown
1961 SovietRxiv: ru-196101.75118

This note studies homotopy-theoretic properties of locally trivial fiber spaces, with emphasis on higher obstructions to extending cross-sections and on operations with fibrations over a common base. Using Postnikov systems, it gives criteria under which truncated fibrations become products and deri…

On the Theory of Optimal Pursuit

Unknown
1961 SovietRxiv: ru-196101.75116

This note studies an optimal pursuit problem for two controlled points in an n-dimensional phase space, where the pursuer seeks to minimize the capture time and the evader seeks to maximize it. Under the additional assumption that the pursuer’s dynamics are linear and nondegenerate and that its cont…

An analogue of the Fortet–Kac theorem

Unknown
1961 SovietRxiv: ru-196101.75020

The paper proves an analogue of the Fortet-Kac theorem for normalized sums of the form \(\sum_{k=0}^{h-1} f(ag^k/p)\), where \(f\) is a bounded periodic real function of mean zero, \(g\) is fixed, \(p\) is coprime to \(g\), and \(h\) grows logarithmically with \(p\). Using the method of moments, the…

Cohomology of groups of units in division algebras

B. B. VENKOV
1961 SovietRxiv: ru-196101.75001

This note proves a periodicity theorem for the cohomology of the group of norm one units in a maximal order of a finite-dimensional division algebra over the rational numbers. Using Grothendieck’s theory of equivariant sheaves and the associated spectral sequences for a group action, the argument re…

Reaction of $o$-carboxybenzoylferrocene

A. N. Nesmeyanov, V. D. Vil’chevskaya, and N. S. Kochetkova
1961 SovietRxiv: ru-196101.74966

This paper reexamines the reactions of o-carboxybenzoylferrocene and corrects an earlier structural assignment of a sulfuric acid product previously regarded as a ferrocene analog of anthraquinone. Through acid-promoted transformations, hydrolysis, sodium in alcohol reduction, independent synthesis,…

Elliptic Equations with Singular Coefficients

L. G. MIKHAILOV
1961 SovietRxiv: ru-196101.74903

This paper studies elliptic second order equations whose lower order coefficients have regular singularities of order one and two at finitely many points, including possible boundary points and infinity. It introduces weighted Banach spaces and establishes norm estimates, compactness criteria, and F…

Study of the Electrical Resistance of Cerium, Lanthanum, and Neodymium at Pressures up to 250,000 kgf/cm $^2$

Corresponding Member of the Academy of Sciences of the USSR L. F. VERESHCHAGIN,
1961 SovietRxiv: ru-196101.74879

The study examines how high pressure affects the electrical resistance of cerium, lanthanum, and neodymium, extending earlier measurements on these lanthanide metals to pressures up to 250,000 kg/cm². Using a calibrated high-pressure chamber at room temperature, the authors measured resistance chang…

On the synthesis of the para-aminosalicylic ester of polyvinyl alcohol

Corresponding Member of the Academy of Sciences of the USSR S. N. Ushakov, L. B. Trukhmanova,
1961 SovietRxiv: ru-196101.74858

This paper addresses the rapid elimination and high dosage requirements of p-aminosalicylic acid in tuberculosis therapy by incorporating the drug into a synthetic polymeric carrier. The authors synthesize previously unknown p-aminosalicylic esters of polyvinyl alcohol through esterification with th…

On the Mechanism of Epichlorohydrin Polymerization in the Catalytic System $\mathrm{FeCl}_3\times$ Propylene Oxide

L. A. BAKALO, B. A. KRENTSEL, L. M. PYRKOV, A. V. TOPCHIEV, and S. Ya. FRENKEL
1961 SovietRxiv: ru-196101.74731

This study examines the mechanism of epichlorohydrin polymerization using the ferric chloride, propylene oxide catalytic system, with emphasis on how catalyst concentration affects active centers and molecular-weight distribution. Polyepichlorohydrin samples prepared at 2, 5, and 10 percent catalyst…

Investigation of Secondary Structures Formed in Capron Fibers

K. Kh. Razikov, G. S. Markova, and V. A. Kargin
1961 SovietRxiv: ru-196101.74626

This study examines the formation of secondary structures in oriented capron fibers during recrystallization in the condensed phase, a process relevant to changes in fiber properties during use. Fivefold drawn capron monofilaments were annealed near the melting point, slowly cooled, sectioned ultrat…

Self-Diffusion of Alkali Ions in Silicate Melts

Unknown
1961 SovietRxiv: ru-196101.74508

This study examines how the absolute mobility of sodium and potassium ions changes in binary and ternary silicate melts containing alkali or alkaline earth cations. Self-diffusion coefficients were measured with radioactive sodium and potassium isotopes over high temperature ranges, and the results …

On the Investigation of Vibrational Excitation and Dissociation of Oxygen Molecules at High Temperatures

S. A. Losev and N. A. Generalov
1961 SovietRxiv: ru-196101.74483

This paper examines the relation between vibrational excitation and dissociation of oxygen molecules behind strong shock waves at high temperatures, with particular attention to whether these processes can be treated as separate zones. Using shock-tube absorption measurements and relaxation analysis…

Contact potential differences between certain liquid metals and their alloys

V. A. KUZNETSOV, L. S. ZAGAINOVA, N. P. LOGINOVA, I. Ya. LYUBIMTSEVA, N. S. ONOPRIENKO, and L. E. TSIMBAL
1961 SovietRxiv: ru-196101.74403

Contact potential differences between selected liquid metals and their alloys were measured to test their relation to differences in potentials of zero charge, a question relevant to the theory of electromotive forces in galvanic cells. Using a thermoelectronic diode method at 450 degrees, the study…

On the Biradical Paradox

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1961 SovietRxiv: ru-196101.74282

This paper addresses the “biradical paradox” in electron paramagnetic resonance studies of biradicals formed by two triphenylmethyl radicals linked by a bridge, where experimental hyperfine spectra imply much slower interwell electron exchange than theoretical estimates of singlet, triplet splitting…

Diagram of Ferric Chloride Extraction with Diethyl Ether

A. V. Nikolaev, M. P. Mikhailova
1961 SovietRxiv: ru-196101.74010

This study examines the extraction of ferric chloride by diethyl ether from hydrochloric acid solutions in the quaternary system ferric chloride, hydrochloric acid, water, and diethyl ether. Equilibrium experiments at 20 ± 0.1°C were used to construct an extraction diagram with distribution coeffici…

Synthesis of Unsaturated Organosilicon Peroxides

T. I. YURZHENKO and A. K. LITKOVETS
1961 SovietRxiv: ru-196101.73943

This paper reports the synthesis and characterization of previously little studied unsaturated organosilicon peroxides of the mixed tert-butyl peroxy type. Vinyl-substituted chlorosilanes were reacted with tert-butyl hydroperoxide in petroleum ether in the presence of pyridine to prepare mono-, di-,…

Kinetic features of styrene polymerization initiated by tert-butyl peroxide and tert-butyl perbenzoate

S. S. IVANCHEV, A. I. YURZHENKO, and N. I. SOLOMKO
1961 SovietRxiv: ru-196101.73809

This study examines the kinetics of styrene polymerization initiated by tert-butyl peroxide and tert-butyl perbenzoate, with benzoyl peroxide used for comparison. Polymerization rates were measured dilatometrically in bulk and suspension systems over varying initiator concentrations and temperatures…

Distribution of the electron density of $3d$-shell electrons responsible for the ferromagnetism of nickel, cobalt, and iron

Academician of the Academy of Sciences of the Belorussian SSR N. N. Sirota and N. M. Olekhnovich
1961 SovietRxiv: ru-196101.73780

This paper examines the spatial distribution of the 3d shell electrons responsible for ferromagnetism in iron, cobalt, and nickel using neutron magnetic scattering form factors. The authors calculate electron density and radial electron density in the unit cell by summing three-dimensional Fourier s…