Showing 50 of 25456 papers

Anisotropy of the galvanomagnetic effect in an $n$-type germanium crystal at temperatures of the transition region of conductivity

Academician of the Academy of Sciences of the Turkmen SSR R. G. Annaev and A. Allanazarov
1960 SovietRxiv: ru-196001.84492

This study examines the anisotropy of longitudinal and transverse galvanomagnetic effects in an n-type germanium single crystal at temperatures spanning the transition from impurity to intrinsic conductivity. Measurements along the principal crystallographic axes were compared with theoretical expre…

Stereoisomeric 1,4-di-n-propyl- and 1-methyl-$4^2$-metho-4-butylcyclohexanes

A. L. LIBERMAN, N. I. TYUN’KINA, and Academician B. A. KAZANSKII
1960 SovietRxiv: ru-196001.84237

This study examines how side-chain structure affects the relative boiling points of cis and trans stereoisomers in 1,4-dialkylcyclohexanes, a question raised by earlier observations of boiling-point inversion in 1,4-diisopropylcyclohexane. The authors synthesized 1,4-di-n-propylcyclohexane and 1-met…

On Some Integral Transforms in Euclidean Space

V. I. Semyanistyi
1960 SovietRxiv: ru-196001.84075

This paper develops four families of integral transformations with generalized kernels in Euclidean space and in the associated space of hyperplanes. Using spaces of test functions and generalized functions, it constructs two one-parameter convolution groups, one containing the Laplace operator and …

Chaplygin's theorem for elliptic equations

Unknown
1960 SovietRxiv: ru-196001.83572

This paper studies Green’s functions and comparison principles for self-adjoint second order elliptic operators in a domain with Dirichlet boundary conditions. Using Fredholm and Ries-Schauder integral equation arguments, it relates positivity of the Green’s function to the coefficient being below t…

Perturbation of Eigenvalues and Eigenvectors for Some Non-Self-Adjoint Operators

M. I. VISHIK and L. A. LYUSTERNIK
1960 SovietRxiv: ru-196001.83437

This note studies perturbations of eigenvalues and eigenelements for certain non-self-adjoint operators, extending earlier methods for perturbed linear equations. For finite-dimensional non-Hermitian matrices with a zero eigenvalue, the authors describe how the structure of the Jordan chains determi…

Toward a General Theory of Biorthogonal Kernels

Academician of the Academy of Sciences of the Armenian SSR M. M. Dzhrbashyan and R. M. Martirosyan
1960 SovietRxiv: ru-196001.83404

This note develops a general theory of biorthogonal kernels in Hilbert spaces of square integrable functions with respect to nondecreasing measures, continuing earlier work on quasi-isometric mappings. It introduces complete kernels, B-kernels, Bessel, Hilbert, Riesz-Fischer, and Riesz kernels, and …

ON THE SOLVABILITY OF THE FIRST BOUNDARY-VALUE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF DIFFERENTIAL EQUATIONS

Unknown
1960 SovietRxiv: ru-196001.83198

The paper studies the first boundary-value problem for a class of nonlinear elliptic systems whose coefficients depend on the unknown function. It extends the energy method used for linear strongly elliptic systems, formulating coercivity and integrability assumptions under which a generalized solut…

Preparation of rhenium hexafluoride by fluorination of the metal with chlorine trifluoride

N. S. NIKOLAEV and E. G. IPPOLITOV
1960 SovietRxiv: ru-196001.83103

This paper reports the preparation of rhenium hexafluoride by fluorinating metallic rhenium with gaseous chlorine trifluoride. Motivated by the difficulty of avoiding oxyfluoride formation in earlier fluorination methods, the authors tested chlorine trifluoride and found that liquid reagent did not …

On Causality in Nonlocal Field Theory

Unknown
1960 SovietRxiv: ru-196001.83057

This paper examines causality in a nonlocal field theory, addressing whether relativistic invariance, macrocausality, and perturbative consistency can be reconciled under restrictions on the form factors. It considers meromorphic form factors analytic on the real axis and analyzes second-order proce…

Study of the Catalytic Dehydrogenation Reaction of Isopentane

and CHZHAN CHZHAO-LAN
1960 SovietRxiv: ru-196001.82965

This study examines the catalytic dehydrogenation of isopentane over chromium oxide, aluminum oxide catalysts at 500 to 600 degrees, with particular attention to kinetic measurements in a fluidized catalyst bed. Experiments in fluidized and fixed beds, combined with chromatographic analysis of produ…

Solubility Isotherm of Sodium Borohydride and Sodium Hydroxide Hydrate in Water at $0^\circ$ C

V. I. MIKHEEVA and V. B. BREITSIS
1960 SovietRxiv: ru-196001.82956

This paper investigates the ternary solubility system sodium borohydride, sodium hydroxide, and water at 0°C, with attention to conditions that stabilize aqueous borohydride solutions and permit isolation of crystalline hydrate forms. Using purified sodium borohydride, sodium hydroxide solution, iso…

On an Explicit Expression for the Connection Forms of a Quasi-Symmetric Space in Terms of the Values of the Curvature and Torsion Tensors at a Certain Point

Unknown
1960 SovietRxiv: ru-196001.82869

This paper derives explicit formulas for the connection forms of a quasisymmetric affine connection space, whose curvature and torsion tensors are covariantly constant, in terms of their values at a fixed point. Using the structure equations of the associated homogeneous Lie group and canonical coor…

Study of the Spontaneous Contraction of Polymers with a Developed Spatial Structure During Their Rupture

V. E. GUL’, V. V. KOVRIGA, and A. N. KAMENSKII
1960 SovietRxiv: ru-196001.82801

This study examines how the relaxation behavior of cross-linked butadiene-nitrile rubber vulcanizates can be evaluated during rupture through the rate of spontaneous contraction after failure. Using high-speed cinematography, the authors measured contraction in notched plates and narrow strips of SK…

OXIDATION OF CYCLOHEXANOL BY OZONIZED OXYGEN

Unknown
1960 SovietRxiv: ru-196001.82756

This study examines the liquid-phase oxidation of cyclohexanol by oxygen containing ozone at 50 to 100°C, measuring ozone uptake and the formation of cyclohexanone, peroxides, acids, and esters. Product distributions, inhibitor experiments with hydroquinone, and comparison with thermal oxidation are…

Electromagnetic method for measuring the velocity of explosion products

V. M. ZAITSEV, P. F. POKHIL, and K. K. SHVEDOV
1960 SovietRxiv: ru-196001.82713

This paper describes a direct electromagnetic method for measuring the mass velocity of detonation products, a parameter important for detonation theory and explosive applications. The method uses the emf induced in a foil sensor assumed to move with the explosion products after passage of the deton…

ON A THEOREM OF THE QUALITATIVE THEORY OF PARABOLIC EQUATIONS

Consider the equation
1960 SovietRxiv: ru-196001.82583

The paper studies a qualitative property of solutions to a second order parabolic equation in a rectangular domain under boundedness, positivity, and smoothness assumptions on the coefficients. It considers the essential connected components of the positive and negative sets of a bounded solution, e…

On the Effect of Temperature on the Corrosion Rate of Metals in Acidic Media

V. A. Khitrov, V. I. Shatalova, I. S. Smolyaninov, and Yu. I. Sadovskaya
1960 SovietRxiv: ru-196001.82506

This paper examines how temperature affects the corrosion rates of several metals in acidic media and evaluates the applicability of the Arrhenius relationship to these heterogeneous corrosion processes. Using corrosion measurements for iron, steel, nickel, zinc, aluminum, copper, cadmium, tin, and …

Investigation of the $\mathrm{HF}$ – $\mathrm{HfF}_4$ – $\mathrm{H}_2\mathrm{O}$ system (solubility isotherm at $25^\circ$ C)

Yu. A. Buslaev and N. S. Nikolaev
1960 SovietRxiv: ru-196001.82497

The paper investigates the 25°C solubility isotherm of the HF, HfF4, H2O system in order to clarify the interaction of hafnium fluorides with hydrofluoric acid and to compare hafnium and zirconium fluoride solubilities. Using chemical analysis of liquid and solid phases, the study identifies success…

Growth of Metallic Single Crystals Under High Hydrostatic Pressure

L. F. VERESHCHAGIN, Yu. N. RYABININ, A. Ya. PREOBRAZHENSKII, and V. A. STEPANOV
1960 SovietRxiv: ru-196001.82494

This paper discusses the rationale and experimental approach for growing metallic single crystals under high hydrostatic gas pressure, motivated by the expectation that increased pressure may reduce crystal lattice defects and alter phase behavior. The authors describe a furnace and high-pressure ap…

Energy Inequalities for Some Classes of Mixed-Type Equations

Yu. M. BEREZANSKII
1960 SovietRxiv: ru-196001.82470

The paper develops energy inequalities for boundary-value problems for a broader class of second-order equations of mixed elliptic-hyperbolic type, extending earlier work related to Chaplygin’s equation. It specifies domains with elliptic and hyperbolic parts, characteristic boundary arcs, and coeff…

On the Convexity of the Domain of Regularity of the Solution of a Differential Equation of Infinite Order

A. F. Leont'ev
1960 SovietRxiv: ru-196001.82172

This paper studies solutions of an infinite order differential equation formed from iterates of a finite order linear differential operator with entire coefficients, where the characteristic function has minimal growth of class [1/s, 0]. It proves that, when the right hand side is entire, the domain…

FLUCTUATIONS OF THE MAGNETIC FIELD AND CURRENT DENSITY IN A TURBULENT FLOW OF A WEAKLY CONDUCTING LIQUID

G. S. Golitsyn
1960 SovietRxiv: ru-196001.82112

This paper analyzes magnetic field and induced current density fluctuations produced when a weakly conducting turbulent liquid or gas moves in an imposed magnetic field that is assumed not to affect the turbulence. Using the induction equation in the limit of large magnetic viscosity and locally hom…

Electronic absorption spectra of solutions of aromatic hydrocarbons in liquid $\mathrm{HCl}$ in the presence of $\mathrm{AlCl}_3$

Unknown
1960 SovietRxiv: ru-196001.82099

This paper examines electronic absorption spectra of aromatic hydrocarbons dissolved in anhydrous liquid hydrogen chloride in the presence of aluminum chloride, with attention to the formation of positively charged hydrocarbon species. The authors developed pressure resistant Monel, platinum, and li…

Effect of the time factor on the nature of the composition–high-temperature strength diagram of alloys of the five-component system $\mathrm{Ni}$ – $\mathrm{Cr}$ – $\mathrm{W}$ – $\mathrm{Ti}$ – $\mathrm{Al}$

Unknown
1960 SovietRxiv: ru-196001.82084

This study examines how prolonged deformation time affects the relation between composition and high-temperature strength in alloys from a section of the five-component Ni, Cr, W, Ti, Al system with varying aluminum content. Creep tests at 900°C and an initial stress of 6 kg/mm² were conducted for u…

X-ray fluorescence analysis with a nuclear source of primary radiation

K. I. NARBUTT, R. L. BARINSKII, and I. S. SMIRNOVA
1960 SovietRxiv: ru-196001.82050

This study investigates fluorescence X-ray spectral analysis using an artificial thulium-170 radioactive source in place of an X-ray tube for excitation of characteristic K radiation from elements between zinc and uranium. Because of the weak fluorescence intensity, the authors used a crystal-free s…

On the nonlinear thermodynamics of irreversible processes

Unknown
1960 SovietRxiv: ru-196001.81974

This paper examines how the phenomenological thermodynamics of irreversible processes can be extended beyond the usual near-equilibrium linear approximation. It argues that Onsager’s linear relations between fluxes and thermodynamic forces may be retained while nonlinear kinetic equations arise when…

Measurement of the Vapor Pressure of Solid Chromium by the Radioactive Tracer Method

An. N. NESMEYANOV and DE DYK MAN
1960 SovietRxiv: ru-196001.81887

This study reexamines the vapor pressure of solid chromium, for which earlier measurements from boiling point and open surface evaporation methods gave inconsistent results. The authors used an integral Knudsen effusion method with neutron-activated chromium-51 as a radioactive tracer to quantify co…

Crystal-Chemical Data on the Stereochemistry of Complex Compounds of Certain Divalent Transition Metals (Fe, Co, Ni, Cu, Pd, and Pt)

Unknown
1960 SovietRxiv: ru-196001.81837

This paper surveys X-ray structural data on complex compounds of divalent Fe, Co, Ni, Cu, Pd, and Pt to identify regularities in coordination geometry, spin state, and ligand effects. Comparing statistical structural data with magnetic and other physicochemical evidence, it argues that Pd and Pt con…

Plancherel Measure for the Quotient Space $SL(n;R)/SO(n;R)$

T. S. Bhanumurthy
1960 SovietRxiv: ru-196001.81836

This paper computes the Plancherel measure for the Riemannian symmetric space \(SL(n,\mathbb R)/SO(n,\mathbb R)\). It first gives an integral representation of the positive definite zonal spherical functions in terms of lower triangular unipotent matrices and Gram determinants, normalized by an expl…

On the Construction of the Hydrodynamics of a Viscous Fluid

D. D. IVLEV
1960 SovietRxiv: ru-196001.81711

This paper examines the construction of constitutive relations between the rate of deformation tensor and the stress tensor for a homogeneous, isotropic, incompressible viscous fluid satisfying Newton’s law in pure shear. Using a potential of deformation rates, including a generalized potential for …

Measurement of Electron Concentration in the Ionosphere by Rotation of the Polarization Plane of Radio Waves Emitted from Rockets

K. I. Gringauz and V. A. Rudakov
1960 SovietRxiv: ru-196001.81456

This note describes a method for determining ionospheric electron concentration from the Faraday rotation of linearly polarized radio waves transmitted by vertically launched, three-axis-stabilized geophysical rockets. Using the relation between polarization rotation, radio frequency, geomagnetic-fi…

ON THE THEORY OF STEADY WAVES OF NONSMALL AMPLITUDE

Unknown
1960 SovietRxiv: ru-196001.81454

The paper studies the existence of steady periodic gravity waves of non-small amplitude, extending earlier small-amplitude treatments of Nekrasov’s formulation. By recasting the free-boundary problem as a nonlinear integral equation in a cone and applying the theory of positive operators, it proves …

On the Filtering of Random Sequences

Unknown
1960 SovietRxiv: ru-196001.81305

This paper studies optimal linear filtering of discretely measured random sequences when observations are corrupted by independent measurement errors, with attention to computational recursions suitable for control machines. For a Brownian motion model with zero mean independent increments, it deriv…

Electrical Conductivity of Polymers with Conjugated Bonds

E. I. Balabanov, A. A. Berlin, V. P. Parini, V. L. Tal’roze, E. L. Frankevich, and M. I. Cherkashin
1960 SovietRxiv: ru-196001.81294

This study examines the electrical conductivity of a broad series of synthesized polymers and molecular complexes containing conjugated bonds, heteroatoms, quinoid groups, chelate structures, and nonbenzenoid rings. Conductivity measurements on pressed tablets and films showed thermally activated be…

Preparation of Aryl Halides from Aromatic Hydroxy Compounds

O. M. NEFEDOV, Ya. L. LEVKOV, and Corresponding Member of the USSR Academy of Sciences A. D. PETROV
1960 SovietRxiv: ru-196001.81241

This paper addresses the preparation of individual aryl chlorides and bromides from aromatic hydroxy compounds, aiming to overcome limitations of direct halogenation and earlier phosphorus pentahalide procedures that produced mixtures and lower yields. The authors propose heating the corresponding p…