Showing 50 of 25456 papers

Heat Capacity of Chain Structures at Low Temperatures

Unknown
1957 SovietRxiv: ru-195701.39137

This paper examines the low-temperature heat capacity of chain structures in relation to competing theoretical predictions for noninteracting polymer chains, especially linear and square-root temperature dependences. Heat capacities of polyethylene from 58 to 273 K and polyvinyl alcohol from 58 to 2…

ELECTRONIC METHODS FOR GENERATING ULTRASHORT PULSES

A. S. Koporsky, A. V. Chernetsky, N. V. Korotkikh, V. I. Voznesenskii
1957 SovietRxiv: ru-195701.38888

Pulse technology is widely used in various fields of science and engineering. Radar, radio astronomy, computing technology, and nuclear physics are far from a complete list of the main directions in the development of modern science and engineering whose progress is largely determined by advances in…

DISLOCATION IN MECHANICALLY TWINNED CALCITE CRYSTALS

Unknown
1957 SovietRxiv: ru-195701.38754

This study examines whether mechanically twinned calcite differs from the parent crystal only by lattice orientation or also by defect structure and stored deformation energy. Mechanically twinned calcite crystals were etched with weak and stronger hydrochloric acid solutions and examined microscopi…

ON PERIODIC SOLUTIONS OF A NONLINEAR EQUATION OF SELF-OSCILLATIONS

In the present article we study periodic solutions of a nonlinear equation of self-oscillations of the form:
1957 SovietRxiv: ru-195701.38707

The paper studies periodic solutions of a nonlinear self oscillation equation with a small parameter, under assumptions ensuring that the corresponding unperturbed equation has only periodic solutions. Using a previously developed method, it derives finite equations determining the leading positive …

Investigation of the Mechanism of Divinyl Synthesis by the S. V. Lebedev Method Using Radioactive Carbon

O. M. Vinogradova, N. P. Keier
1957 SovietRxiv: ru-195701.38698

This study examines the mechanism of divinyl formation from ethyl alcohol over the Lebedev catalyst, with particular attention to competing schemes involving acetaldehyde, crotonaldehyde, and crotyl alcohol intermediates. Using carbon 14 labeled ethyl alcohol, acetaldehyde, and crotonaldehyde, the a…

On the Motion of an Artificial Satellite in the Noncentral Gravitational Field of the Earth in the Presence of Atmospheric Resistance

G. P. Taratynova
1957 SovietRxiv: ru-195701.38665

This article presents a method for calculating, on a high-speed digital computer, the motion of an artificial Earth satellite with simultaneous allowance for atmospheric drag, under the condition that the atmosphere moves together with the Earth, and for the deviation of the gravitational field from…

Theory of Plasticity Accounting for the Bauschinger Effect

Unknown
1957 SovietRxiv: ru-195701.38654

This paper proposes a plasticity theory for quasi-isotropic bodies that incorporates the Bauschinger effect by distinguishing actual stresses from active stresses and introducing a tensor of residual stresses. The yield surface retains the spherical form used in flow theory, but its center moves dur…

LUDWIG BOLTZMANN\*

N. N. Bogolyubov, Yu. V. Sanochkin
1957 SovietRxiv: ru-195701.38427

A report delivered on September 5, 1956, at a meeting of the Division of Physical and Mathematical Sciences of the Academy of Sciences of the USSR dedicated to the 50th anniversary of the death of Ludwig Boltzmann.

Kinetics of Catalytic Dehydrogenation of Isopropyl Alcohol in the Presence of Period IV Transition Metals

A. A. BALANDIN and P. TETENI
1957 SovietRxiv: ru-195701.38358

The study examines the kinetics of isopropyl alcohol dehydrogenation to acetone over precipitated metallic iron, cobalt, and nickel catalysts in a flow apparatus. Relative adsorption coefficients for acetone and hydrogen were determined by adding reaction products to the feed and applying a kinetic …

Calculation of the anisotropy of diamagnetic susceptibility of aromatic molecules by the molecular metal model method

T. K. REBANE
1957 SovietRxiv: ru-195701.38321

This paper refines the metallic model approach to calculating the anisotropy of diamagnetic susceptibility in aromatic molecules. It identifies an error in an earlier perturbation-theory treatment, namely the omission of the second-order contribution from the vector-potential derivative term, and de…

A new method for the synthesis of organothallium compounds of the $\mathrm{ArTlX}_2$ class

V. P. Glushkova, K. A. Kocheshkov
1957 SovietRxiv: ru-195701.38188

This paper addresses the limited availability and uncertain characterization of arylthallium compounds of the type ArTlX2, especially halides that had been obtained by less reliable multistep routes and appeared colored because of secondary reactions or impurities. The authors propose a synthesis ba…

On Intermediate Products in Redox Photoreactions of Xanthene Dyes

V. F. Tsepalov and I. Ya. Shlyapintokh
1957 SovietRxiv: ru-195701.38171

This study investigates intermediate products in photochemical oxidation and reduction reactions of xanthene dyes, including eosin, erythrosin, and Bengal rose, using potentiometric measurements and solution conductivity during illumination. Experiments with varying light intensity, dye concentratio…

On Local Nomography

E. T. SMORKACHEV
1957 SovietRxiv: ru-195701.37556

This paper develops a local theory of nomography by expressing conditions for local nomographability in invariant form under admissible transformations of the variables. It defines and studies nomographic invariants built from the quantities associated with a function z = f(x,y), including determina…

On a Problem in Filtration Theory

Unknown
1957 SovietRxiv: ru-195701.37368

This paper studies a one-dimensional filtration problem in an elastic-plastic regime, where the governing parabolic equation changes according to the sign of the time derivative of the pressure. The problem is reformulated as a single nonlinear equation containing an absolute value term, with the ha…

Synthesis of Organotin Compounds via Double Iodonium Salts

O. A. PTITSYNA, O. A. REUTOV, and M. F. TURCHINSKII
1957 SovietRxiv: ru-195701.37367

This paper reports a method for synthesizing aromatic organotin compounds by decomposing diaryliodonium chloride complexes with tin chlorides in the presence of tin powder. The authors argue that the reaction proceeds through double iodonium salts, noting that mixtures of diaryliodonium chlorides an…

Optical Systems with Phase Layers

G. G. SLYUSAREV
1957 SovietRxiv: ru-195701.37100

This paper examines optical imaging systems that combine lenses with modified zone plates, termed phase plates, as a means of overcoming the energy loss, chromatic aberration, and fabrication difficulties of conventional zone plates. It derives the form and focal properties of such plates, analyzes …

Determination of differential cross sections for elastic scattering of neutrons with energy $E_n=14,8$ MeV by counting $(n,\alpha)$ coincidences

M. M. KHALETSKII
1957 SovietRxiv: ru-195701.36934

This paper reports a coincidence method for determining differential cross sections of elastic scattering of 14.8 MeV neutrons. Neutrons from the D2(T,n)He4 reaction were tagged by correlated alpha particles, scattered from cylindrical Pb, Sn, Fe, Al, and C targets, and detected with a liquid scinti…

Catalytic Synthesis of para-, Nitro-, Amino-, and Sulfamido Derivatives of 2-Phenylquinoline and 2-Phenyl-5,6-benzoquinoline

Unknown
1957 SovietRxiv: ru-195701.36880

This paper reports the catalytic synthesis of previously undescribed nitro, amino, and sulfonamide derivatives of 2-phenylquinoline and 2-phenyl-5,6-benzoquinoline, motivated by known antibacterial activity in related quinoline amines and sulfonamides. Nitro derivatives were prepared through condens…

A generalized formulation of Gibbs' inequality

L. S. PALATNIK and A. I. LANDAU
1957 SovietRxiv: ru-195701.36620

This paper extends the Gibbs phase rule inequality to multicomponent heterogeneous systems whose phase concentration matrix may have nonmaximal rank, including cases where components are absent from some phases or distinct phases have identical concentration composition. By comparing constraints der…

ON THE INFLUENCE OF IMPURITIES ON THE RATE OF SELF-DIFFUSION

Unknown
1957 SovietRxiv: ru-195701.36295

This paper examines how small additions of alloying elements affect the self-diffusion of solvent atoms in solid silver alloys, focusing on Ag-Cu and Ag-Sn systems. Using the thin-layer method for diffusion measurements and isotope-exchange measurements of thermodynamic characteristics, the authors …

On an analogue of the theory of extensions of Hermitian operators and a nonsymmetric one-dimensional boundary value problem on the half-line

Unknown
1957 SovietRxiv: ru-195701.36239

This paper develops an analogue of the extension theory of Hermitian operators for operators that are symmetric with respect to a conjugation operator in a Hilbert space. It introduces the notions of J-symmetric and J-self-adjoint dissipative operators, characterizes J-self-adjointness by vanishing …

On Infinite-Dimensional Cantor Manifolds

L. A. TUMARKIN
1957 SovietRxiv: ru-195701.36161

This paper extends the notion of an n-dimensional Cantor manifold to infinite-dimensional compact metric spaces, defining such a compactum as one that cannot be separated by any finite-dimensional closed subset. It addresses the relation between this concept and the open problem of whether every inf…

On Solving the Laplace Equation with Axial Symmetry by the Difference Method

In note (¹) we proposed a difference method for solving the axially symmetric Dirichlet problem for the Laplace equation
1957 SovietRxiv: ru-195701.35999

This paper develops improved finite difference schemes for the axially symmetric Dirichlet problem for the Laplace equation in cylindrical coordinates. Using a lemma that combines harmonic functions with logarithmic terms, it constructs alternative harmonic basis functions and derives five point and…

SUN HSE-SHEN

Unknown
1957 SovietRxiv: ru-195701.35991

This paper studies infinitesimal rigidity criteria for surfaces of revolution subject to contour constraints, extending earlier results on ovaloids with planar openings to nonorthogonal constraints. The bending equations are reduced to a Fourier decomposition and ordinary differential equations for …

Oxidative Degradation of Cellulose Esters

Unknown
1957 SovietRxiv: ru-195701.35938

This paper examines the aging and thermo-oxidative decomposition of cellulose ethers and esters under oxygen, air, inert gas, heating, and ultraviolet irradiation. Using viscosity measurements, oxygen uptake, analysis of volatile products, and characterization of oxidized materials, the study argues…

Proton relaxation in $\mathrm H_2\mathrm O$ – $\mathrm D_2\mathrm O$ mixtures containing paramagnetic ions

A. I. Rivkind
1957 SovietRxiv: ru-195701.35879

This study investigates proton spin lattice relaxation in mixed H2O and D2O solutions containing paramagnetic ions, using measurements of the longitudinal relaxation time T1 while varying the proton concentration by isotopic substitution. Solutions of manganese, chromium, copper, and cobalt salts sh…

Homology Groups of Nilpotent Algebras

A. I. KOSTRIKIN and I. R. SHAFAREVICH
1957 SovietRxiv: ru-195701.35721

This note studies the homology groups of finite rank nilpotent associative algebras over an arbitrary field, with trivial coefficients, and the associated Poincaré functions formed from their Betti numbers. Using a special complete resolution, the authors derive structural relations and estimates fo…

On Recording the Potential Gradient of the Electrotelluric Field at Certain Depths in Lake Baikal

P. A. VINOGRADOV
1957 SovietRxiv: ru-195701.35297

This study examines variations of the electrotelluric potential gradient at different depths in Lake Baikal, a regime previously studied mainly near shore or in surface waters. Using submerged electrode lines connected to a photogalvanograph, the author recorded short-period oscillations, bay-like d…