Showing 50 of 25357 papers

On the Structure and Properties of the Complex Compound $\mathrm{BeCl}_2\cdot\mathrm{AlCl}_3\cdot3(\mathrm{C}_2\mathrm{H}_5)_2\mathrm{O}$

Unknown
1965 SovietRxiv: ru-196501.85376

The paper examines the structure and solution behavior of the congruently melting complex compound BeCl2·AlCl3·3(C2H5)2O, previously observed in the system of beryllium and aluminum chloride etherates. Using infrared spectroscopy of related beryllium and aluminum halide etherates, chloroaluminates, …

On the mechanism of electrophilic and homolytic substitution at an olefinic carbon atom

Among the three possible types of substitution reactions at an olefinic carbon atom:
1965 SovietRxiv: ru-196501.85363

This paper examines the mechanisms and stereochemical outcomes of electrophilic and homolytic substitution at olefinic carbon atoms, using stereoisomeric beta-chlorovinyl and omega-bromostyryl organomercury compounds. Kinetic measurements and stereochemical analyses show that bimolecular electrophil…

On the Arrangement of Silver Ions in Zeolite $\mathrm{AgX}$

Unknown
1965 SovietRxiv: ru-196501.85139

This paper investigates the crystallographic location of silver ions in synthetic zeolite AgX, a material of interest because ion exchange strongly affects zeolite adsorption properties. An NaX zeolite in which 80 percent of sodium ions had been replaced by silver was examined by powder X-ray diffra…

X-Ray Study of the Compressibility of Hexagonal Selenium up to 15 kbar

L. F. Vereshchagin, S. S. Kabalkina, B. M. Shulenin
1965 SovietRxiv: ru-196501.84952

This paper reports an X-ray study of the compressibility of hexagonal selenium under hydrostatic pressure up to 15 kbar, motivated by the structural similarity between selenium and tellurium. Hexagonal selenium was prepared from amorphous selenium at high pressure and temperature, examined in a bery…

ON REGULAR NONUNIFORM GRID SCHEMES AND QUASI-STABILITY

V. K. Saul'ev
1965 SovietRxiv: ru-196501.84905

The paper studies regular nonuniform finite difference schemes for parabolic equations, focusing on checkerboard arrangements that interlace explicit and implicit formulas on different subsets of grid nodes. It introduces the notion of quasi-stability as a generalization of von Neumann stability for…

ON ISOINVOLUTIVE DECOMPOSITIONS OF LIE ALGEBRAS

L. V. Sabinin
1965 SovietRxiv: ru-196501.84819

The paper develops a framework for isoinvolutive decompositions of compact real semisimple Lie algebras, defined through triples of subalgebras fixed by commuting involutive automorphisms and related by inner conjugation. It establishes existence results for such decompositions, introduces types I, …

On the Order of Convergence of Cubature Formulas

Academician S. L. SOBOLEV
1965 SovietRxiv: ru-196501.84799

This note studies the error of cubature formulas on a domain in n variables as a linear functional in the Sobolev factor space of functions with square integrable derivatives of order m, under the condition m greater than n/2 and exactness on polynomials of degree below m. It proves a lower bound fo…

MOLECULAR NUCLEI OF CONDENSATION

Unknown
1965 SovietRxiv: ru-196501.84479

This paper investigates whether individual nonionized molecules with masses smaller than those of the condensing vapor can initiate condensation in a metastable supersaturated vapor. Using continuous gas-flow experiments with supersaturated dioctyl sebacate vapor, photochemically generated iron nona…

On spaces with a measure of continuum weight

V. G. VINOKUROV
1965 SovietRxiv: ru-196501.84474

This paper studies measure spaces of continuum weight, defining their weight, subspaces, maximality, compact and bicompact approximating classes, and weak compactness. It proves that within any fixed metric structure there exists a unique maximal measure space of continuum weight, described in the h…

STATE DIAGRAMS OF PHASE EQUILIBRIUM OF THE SYSTEMS SODIUM CHLORIDE—WATER, POTASSIUM CHLORIDE—WATER

I. Kh. Khaibullin, N. M. Borisov
1965 SovietRxiv: ru-196501.84315

This paper reports experimental phase equilibrium diagrams for the sodium chloride, water and potassium chloride, water systems at elevated temperatures and pressures, where sparingly volatile salts dissolve in aqueous vapor and strongly affect system properties. Measurements of vapor and liquid com…

Dispersed condensates of aluminum vapor on glass

Unknown
1965 SovietRxiv: ru-196501.84172

Experiments were conducted on the condensation of aluminum vapor on glass through diaphragms in vacuum, with deposit density measured photometrically and structure examined by electron microscopy. The authors observed blurred shadow images, delayed deposit formation, reflection of aluminum species f…

Distributive pairs of elements in a structure

Unknown
1965 SovietRxiv: ru-196501.84065

The paper studies pairs of elements in a lattice satisfying additive or multiplicative distributive identities, emphasizing when one property implies the other and when strict examples can occur. It gives criteria for an additively distributive pair to be multiplicatively distributive within a princ…

Asymptotics of the solution of a boundary value problem for a second-order elliptic equation in domains in which one dimension is sufficiently small compared with the others

In the present paper we investigate the asymptotics of the solution of the following boundary-value problem.
1965 SovietRxiv: ru-196501.83757

This paper studies the asymptotic behavior of solutions to a boundary value problem for a second order uniformly elliptic equation in a cylindrical domain whose height is small compared with its other dimensions. After rescaling the thin coordinate, the solution is constructed as a sum of an interio…

ANISOTROPY OF EPITAXIAL COBALT FILMS

L. V. Kirenskii, V. G. Pynko
1965 SovietRxiv: ru-196501.83607

This paper investigates the magnetic anisotropy of epitaxial cobalt films produced by thermal evaporation on heated NaCl and LiF substrates, using electron diffraction, domain structure observations, hysteresis behavior, and ferromagnetic resonance measurements. Films grown on NaCl contain both cubi…

On a Problem in the Theory of Elasticity

Unknown
1965 SovietRxiv: ru-196501.83564

The paper solves an axisymmetric elasticity problem for an elastic half-space containing a point singularity of center type, representing compression or expansion, at a finite distance from a free boundary. Using an image construction to satisfy the shear boundary condition and a Hankel, Laplace tra…

NORMALLY SOLVABLE ELLIPTIC BOUNDARY-VALUE PROBLEMS

A. V. Bitsadze
1965 SovietRxiv: ru-196501.83446

This paper discusses normal solvability, Noetherianity, Fredholmness, and index for elliptic boundary value problems, emphasizing the need for criteria that determine when orthogonality conditions to adjoint homogeneous solutions are also sufficient for solvability. It analyzes the Dirichlet problem…

Negative magnetoresistance in $n$-type silicon

Unknown
1965 SovietRxiv: ru-196501.83355

Negative magnetoresistance was measured in phosphorus-doped n-type silicon in the low-temperature metallic impurity conduction region, for carrier concentrations from 5 x 10^18 to 3 x 10^19 cm^-3. Using a standard potentiometric direct-current method on double-cross samples in magnetic fields up to …

Structure of 4–6-Second Microseisms

Unknown
1965 SovietRxiv: ru-196501.83068

This paper examines the structure of 4 to 6 second microseisms, a persistent disturbance in seismological observations usually interpreted as interfering Rayleigh and Love surface waves. Using records from a temporary seismic station group in Eastern Kazakhstan, the study applies directional recepti…

Studies of Solar Plasma Flows on the Zond-2 Interplanetary Station

V. V. BEZRUKIKH, K. I. GRINGAUZ, L. S. MUSATOV,
1965 SovietRxiv: ru-196501.83044

This paper reports preliminary measurements of solar plasma flows made by charged particle traps aboard the Zond-2 interplanetary station during early December 1964. The authors describe the integral and modulation trap instruments, their energy ranges, and the method used to estimate proton fluxes …

Synthesis of 3-Oxa-1,5-Keto Alcohols and Study of Their Tautomeric Transformations

I. F. Bel'skii, S. N. Khar'kov, N. I. Shuykin
1965 SovietRxiv: ru-196501.83001

This study describes the synthesis of previously little-studied 3-oxa-1,5-keto alcohols through catalytic hydrogenolysis of acetates of monofurfuryl ethers of 1,2-glycols over platinized charcoal. The principal reaction cleaves the furan ring at the 1,5 C-O bond to give acetates of 5-keto-3-oxa-octa…

ON ESTIMATING THE NUMBER OF SOLUTIONS OF CERTAIN EQUATIONS

A. A. Karatsuba
1965 SovietRxiv: ru-196501.82990

The paper studies upper bounds for the number of integer solutions to equations of the form \(x_1^n+\cdots+x_k^n=y_1^n+\cdots+y_k^n\) with variables bounded by \(P\), a problem connected with estimates used in Waring’s problem. Using a main theorem on the number of solutions of related systems of co…

On Ill-Posed Problems in Linear Algebra and a Stable Method for Solving Them

1.** Consider the system of linear algebraic equations
1965 SovietRxiv: ru-196501.82900

The paper addresses the instability of determining normal solutions of linear algebraic systems, especially singular or nearly singular systems, where small perturbations in the matrix or right hand side can produce widely scattered solutions. It defines the normal solution as the minimum norm solut…

ON THE DETERMINATION OF THERMODYNAMIC FUNCTIONS OF THE INTERACTION OF A SUBSTANCE WITH POLAR SOLVENTS BY THE METHOD OF GAS–LIQUID CHROMATOGRAPHY

A. N. Genkin, B. I. Boguslavskaya, L. S. Bresler, M. S. Nemtsov
1965 SovietRxiv: ru-196501.82883

This paper develops a gas liquid chromatographic approach for estimating thermodynamic functions of interaction between solutes and polar solvents, distinguishing solute solvent interaction from solvent self-association. The authors derive relations between chromatographic distribution coefficients,…

On the Application of the Parameter Variation Method to the Construction of Iterative Formulas of Increased Accuracy for Determining Numerical Solutions of Nonlinear Integral Equations

Unknown
1965 SovietRxiv: ru-196501.82768

The paper applies the parameter variation method to construct higher accuracy iterative formulas for numerical solutions of nonlinear integral equations. After replacing the integral equation by a finite system using an arbitrary quadrature formula, the residual is treated as a vector parameter, and…

Emission of an Excited Molecule in a Resonant Medium

Unknown
1965 SovietRxiv: ru-196501.82654

This paper analyzes the radiation of an initially excited two-level molecule embedded in a dilute ensemble of identical resonant unexcited molecules, where repeated absorption and emission can alter photon propagation and quench radiation. Using the Hamiltonian for the coupled molecule-field system,…

On Assessing the Compatibility of Polymers

Unknown
1965 SovietRxiv: ru-196501.82268

This paper examines criteria for assessing polymer compatibility and argues that deviations of mixture properties from additive behavior, especially solution viscosity, are not reliable evidence of incompatibility. Using fractions of the same polyethylene sample as a model compatible system, the aut…

A BOUNDARY-VALUE PROBLEM OF PRESSURE FILTRATION

Statement of the problem.** Let
1965 SovietRxiv: ru-196501.82248

This paper studies an inverse boundary-value problem for pressure filtration: constructing the impervious underground contour of a hydraulic-engineering structure from a prescribed epure of exit velocities, with finite permeable-layer depth, given head, discharge, and filtration coefficient. Using t…

Polymerization of 3,4-Benzo-1,1-dimethylsilacyclopentane

Corresponding Member of the Academy of Sciences of the USSR N. S. Nametkin, V. M. Vdovin,
1965 SovietRxiv: ru-196501.82092

The study examines the polymerization of 3,4-benzo-1,1-dimethylsilacyclopentane through cleavage of the silicon carbon bond in the heterocycle. Polymerization with aluminum chloride at 50 to 100°C gave viscous low molecular weight oils, while metallic potassium in tetrahydrofuran at about minus 100°…

The Supernova of 1054 – a Binary Star?

I. S. Shklovskii
1965 SovietRxiv: ru-196501.82074

This paper examines whether the 15th magnitude F-type star near the physical center of the Crab Nebula is merely a foreground object or is genetically connected with the Supernova of 1054. Shklovsky argues from positional probability, spectral type, distance considerations, and the star’s unusually …

Diffraction Synchronization of Optical Quantum Generators

Corresponding Member of the Academy of Sciences of the USSR N. G. Basov, É. M. Belenov, V. S. Letokhov
1965 SovietRxiv: ru-196501.82073

This paper examines diffraction synchronization in optical quantum generators, motivated by semiconductor laser configurations with emitting mirrors divided into isolated elements to suppress parasitic in-plane generation. For two adjacent plane-mirror resonators, the authors calculate diffraction c…

Construction of the Complete Set of Solutions to the Homogeneous Dirichlet Problem for the Vibrating String Equation

R. A. Aleksandryan
1965 SovietRxiv: ru-196501.82031

This note studies generalized eigenfunctions of the homogeneous Dirichlet problem for the string vibration equation in a domain with piecewise smooth boundary, viewed through the self-adjoint operator associated with the problem. Using boundary automorphisms generated by characteristic directions an…

On the Characteristic Temperature of Suspensions

Unknown
1965 SovietRxiv: ru-196501.82012

This paper examines the existence and use of a characteristic temperature in suspensions, at which the density and adiabatic compressibility contrasts between suspended particles and the continuous liquid become small and the ultrasonic velocity becomes nearly independent of particle concentration. …

SPECTRAL STUDY OF THE PHOTOREDUCTION OF HYDROGENATED DERIVATIVES OF TETRAPHENYLPORPHIN

![Fig. 1. Absorption spectra](image)
1965 SovietRxiv: ru-196501.81953

This study examines the photochemical reduction of hydrogenated tetraphenylporphin derivatives, primarily tetraphenylchlorin and tetraphenylbacteriochlorin, in pyridine solutions with hydrazine, and compares the behavior of tetraphenylchlorin with hydrogen sulfide. Visible and infrared absorption sp…

Some Boundary Value Problems for Systems of Second-Order Elliptic-Type Equations Not Satisfying the Ya. B. Lopatinskii Condition

1.** In the present paper the following problem is considered:
1965 SovietRxiv: ru-196501.81944

This paper studies boundary value problems for two-component second order elliptic systems with constant real matrix coefficients in a bounded simply connected plane domain, under a first order linear boundary condition that may fail the Lopatinskii condition. Using representations of solutions by a…

Study of the Thermal Dissociation of Calcium Phosphate in a Mixture with Silica

Academician S. I. VOL’FKOVICH, R. G. AZIEV
1965 SovietRxiv: ru-196501.81924

This study examines whether calcium phosphate can be thermally dissociated in the presence of silica to obtain phosphorus pentoxide directly, avoiding reduction to elemental phosphorus and subsequent oxidation. The authors combine thermodynamic calculations for several calcium phosphate and apatite …

MASS-SPECTROMETRIC STUDY OF CARBOHYDRATES.

N. K. Kochetkov, O. S. Chizhov, B. M. Zolotarev
1965 SovietRxiv: ru-196501.81844

This study examines the electron-impact mass spectra of three methylated methyl deoxyhexosides, bearing deoxy substitution at the 2, 3, or 4 position, in order to clarify fragmentation behavior and assess analytical differentiation of deoxy sugars. The compounds were synthesized, checked for homogen…

On Reflexive Spaces Generalizing Reflexive Orlicz Spaces

Unknown
1965 SovietRxiv: ru-196501.81738

This paper studies reflexivity in Banach spaces constructed from partially ordered KB-spaces by means of N-functions, extending classical results on reflexive Orlicz spaces. It first establishes characterizations of N-functions whose complementary functions also satisfy the Delta 2 condition, showin…

INDUCTANCE OF A SUPERCONDUCTING SOLENOID

V. V. Sychev, V. B. Zenkevich, V. V. Andrianov
1965 SovietRxiv: ru-196501.81614

This paper investigates how the inductance of a superconducting solenoid should be defined and measured when its winding carries direct current and is subject to changing magnetic flux. Experiments on a niobium zirconium solenoid compared small-signal alternating-current measurements, giving a dynam…

Effect of the Composition of Neodymium-Activated Glasses on Their Absorption Spectra and Luminescence Lifetime

Unknown
1965 SovietRxiv: ru-196501.81592

This study examines how the composition of neodymium-activated silicate and germanate glasses affects their absorption spectra and luminescence lifetimes, with attention to the ratio of glass-forming oxides to alkali modifiers and to neodymium concentration. Simple binary systems based on sodium sil…

FEATURES OF THE MOTION OF SMALL METEORIC BODIES

B. L. Kashcheev, V. N. Lebedinets, M. F. Lagutin
1965 SovietRxiv: ru-196501.81495

This paper analyzes the motion of small meteoroid bodies using a year-long radar survey conducted at Kharkov Polytechnic Institute in 1959 to 1960, which yielded 12,500 computed orbits for meteors brighter than about magnitude +7. The authors correct the measured orbital distributions for radar obse…