Showing 50 of 25456 papers

On the transformation of equations for transient processes in an $r$ , $L$ , $C$ circuit to a rotating coordinate system

Unknown
1957 SovietRxiv: ru-195701.48233

This paper derives equations for transient processes in a three phase static circuit element, represented by an r, L, C branch, after transformation from phase coordinates to a rotating coordinate system with arbitrary angular velocity. Using Park’s transformation, it expresses line voltages, curren…

Study of the Polymerization of 2,3-Dimethylbutene-2, 2,3-Dimethylbutene-1, and 3,3-Dimethylbutene-1 at Pressures up to 4000 atm

M. G. GONIKBERG, V. M. ZHULIN, V. T. ALEKSANYAN, and Kh. E. STERIN
1957 SovietRxiv: ru-195701.48135

This study examines the high pressure thermal polymerization of 2,3-dimethylbutene-2, 2,3-dimethylbutene-1, and 3,3-dimethylbutene-1 at about 290 degrees and pressures up to roughly 4000 atm. The authors measured polymer yields, fractionated the products, compared physical properties of dimeric and …

ON THE EQUATIONS OF THE LIQUIDUS AND SOLIDUS OF IDEAL SYSTEMS

From the Clapeyron–Clausius equation, written in the form
1957 SovietRxiv: ru-195701.48134

This paper examines the thermodynamic equations governing liquidus and solidus curves in ideal binary systems obeying Raoult’s law. Starting from the Clapeyron, Clausius equation and vapor pressure isotherms, it argues that the Van Laar relations are general equations of state for ideal systems rath…

On the Significance of Chain Reactions in High-Temperature Cracking of Ethane

A. M. BRODSKII, R. A. KALINENKO,
1957 SovietRxiv: ru-195701.48109

This study examines the role of chain reactions in high-temperature ethane cracking between 770 and 890 °C, a regime relevant to technological pyrolysis but not fully mechanistically clarified. The authors analyze experiments in which ethane was cracked in the presence of radiocarbon-labeled methane…

THE TUNNEL EFFECT IN SULFIDE RECTIFIERS

Unknown
1957 SovietRxiv: ru-195701.48105

This paper examines whether low-voltage behavior in sulfide rectifiers can be interpreted as evidence for electron tunneling through a thin near-electrode barrier. Using cuprous sulfide pellets contacted with aluminum, magnesium, or tantalum electrodes, it compares observed current-voltage character…

On a Class of Plane-Parallel Steady Vortical Motions of a Gas

Yu. S. ZAVYALOV
1957 SovietRxiv: ru-195701.47951

The note generalizes earlier reductions of plane-parallel steady vortical gas motion to potential flow beyond the separable velocity form. It considers velocity functions for which the ratio of the second pressure derivative to the velocity is independent of the stream function, implying a two-term …

CATALYTIC CRACKING OF ETHYLIDENEDIISOPROPYLBENZENE

Unknown
1957 SovietRxiv: ru-195701.47763

The study examines catalytic cracking of ethylidenediisopropylbenzene as a potential route to styrene derivatives and as a case of cracking behavior in a highly substituted diarylethane. Experiments were conducted at 600°C with steam dilution over an aluminosilicate catalyst and several activated cl…

Preparation of Crystalline Polypropylene by Polymerization of Propylene on an Organometallic Catalyst

A. V. TOPCHIEV, B. A. KRENTSEL, I. M. TOLCHINSKY, and G. V. GARNISHEVSKAYA
1957 SovietRxiv: ru-195701.47672

This paper investigates conditions for preparing crystalline polypropylene by stereospecific polymerization of propylene using a triethylaluminum and titanium tetrachloride organometallic catalyst. Experiments were conducted at atmospheric pressure and at 4 to 6 atm with purified propylene or a tech…

On embedding theorems

Ya. S. BUGROV
1957 SovietRxiv: ru-195701.47467

This note studies converse embedding theorems in the limiting case not covered by a theorem of S. M. Nikol’skii, where the smoothness parameter on the embedded subspace is zero and is interpreted as membership in an Lp space. It constructs an extension of a function given on an m-dimensional subspac…

Surface Phenomena during Plastic Deformation of Metals*)

A. F. Braun
1957 SovietRxiv: ru-195701.47154

In this article, in light of data from microscopic studies, theories explaining the existence of the indicated stages of deformation are considered. The validity of conclusions regarding internal processes occurring during deformation, drawn on the basis of studying surface changes, is also discusse…

On the Geographical Distribution of Anomalous Radio-Wave Absorption in the Ionosphere at High Latitudes

A. P. NIKOLSKII
1957 SovietRxiv: ru-195701.47115

This paper examines the high-latitude geographical distribution and daily timing of anomalously high ionospheric absorption of short radio waves, especially its relation to magnetic disturbances and auroral zones. Using published observations from a network of ionospheric stations and comparing the …

Exchange of Sulfate Ions in Aqueous Solutions of Acidoammine Complexes of Trivalent Cobalt

![Fig. 1](figure)
1957 SovietRxiv: ru-195701.47052

This study examines isotopic exchange of sulfate ions between inner and outer coordination spheres in aqueous acidoammine complexes of trivalent cobalt, using sulfur-35 labeled sulfate and separation with benzidine hydrochloride. Exchange kinetics were measured as functions of time, temperature, com…

Reduction of a Linear System of Partial Differential Equations with Constant Coefficients to a System of Normal Type

V. M. BOROK
1957 SovietRxiv: ru-195701.46841

This paper studies linear systems of partial differential equations with constant coefficients and the reduction of their Cauchy problems to systems of normal type. It defines the reduced order through the growth of the real parts of characteristic roots and proves a formula expressing this order as…

Study of the Nitration Reaction of Isopropylcyclohexane with Nitric Acid

A. V. TOPCHIEV, S. D. MEKHTIEV, and A. Sh. NOVRUZOVA
1957 SovietRxiv: ru-195701.46830

This paper investigates the liquid-phase nitration of isopropylcyclohexane with nitric acid under varied reaction conditions. More than forty experiments examined the effects of temperature, reaction time, nitric acid concentration, and hydrocarbon to acid molar ratio, with products isolated by vacu…

On the Application of the Thermal Factor in Gas Chromatography

A. A. Zhukhovitskii and N. M. Turkeltaub
1957 SovietRxiv: ru-195701.46733

This paper analyzes the physicochemical role of temperature fields in gas adsorption chromatography and thermochromatography, focusing on how thermal gradients affect band separation, band width, and recording requirements. The authors derive separation criteria based on distances and widths of adso…

First Excited Levels of Axially Symmetric Even-Even Nuclei

Unknown
1957 SovietRxiv: ru-195701.46519

The paper applies the generalized collective model to the first excited levels of axially symmetric even even nuclei in the strong coupling approximation, assuming that axial symmetry is preserved for low excitations. Starting from the rotational vibrational Hamiltonian, it derives a radial Schrödin…

Study of Isotactic Polypropylene by Infrared Spectroscopy

E. I. Pokrovskii, M. V. Vol'kenshtein
1957 SovietRxiv: ru-195701.46466

Infrared absorption spectra of isotactic polypropylene films prepared from samples obtained by different methods were measured between 700 and 3000 cm⁻¹, including temperature-dependent measurements from 20 to 200 °C. The study identifies characteristic absorption bands, especially at 810, 839, 894,…

On the Division of the Cathode Spot of an Electric Arc

Unknown
1957 SovietRxiv: ru-195701.46375

This paper examines the continuous division of the cathode spot in a low-pressure mercury arc, using photographs of spot traces during ordered motion in a tangential magnetic field. The observations show branching into autonomous emission centers, their apparent mutual repulsion, dependence of branc…

Free radical reactions in solutions. Thermal decomposition of triazenes in various media

L. M. ROMANOV, B. A. DOLGOPLOSK, and B. L. ERUSALIMSKII
1957 SovietRxiv: ru-195701.46303

The study examines the thermal decomposition kinetics of several alkylphenyltriazenes in solution as sources of free radicals, using gas evolution to measure reaction rates in different media and concentrations. Increasing triazene concentration raises the apparent decomposition rate constants and l…

On the Methylation of Cyclopentene by Methylene Radicals Formed by Contact Reduction of Carbon Monoxide with Hydrogen

Unknown
1957 SovietRxiv: ru-195701.46064

This study examines the behavior of cyclopentene in catalytic hydrocondensation with carbon monoxide and hydrogen, in comparison with cyclopentene alone and with cyclopentene plus hydrogen. Experiments at 190°C over the established contact catalyst showed that cyclopentene alone was unchanged, while…

β-Cyanovinyl Ketones

Unknown
1957 SovietRxiv: ru-195701.45844

This paper describes a route to beta-cyanovinyl ketones, compounds not readily accessible by direct cyanide substitution of beta-chlorovinyl ketones because of lack of reaction in nonpolar media and resinification in polar media. The authors show that beta-acylvinyltrialkylammonium salts, formed fro…

Regularities in the capture of copper, antimony, lead, cobalt, iron and zinc admixtures by a cathode deposit of tin

V. L. KHEIFETS, E. S. KOZICH, and O. M. DANILOVICH
1957 SovietRxiv: ru-195701.45665

This study examines the regularities governing the inclusion of copper, antimony, lead, cobalt, iron, and zinc impurities in cathodic tin deposits from acidic tin electrolytes. Using chemical, spectrographic, and radioactive isotope determinations, the authors compare impurity content in deposits wi…

A thorough chlorination of propane on a moving contact

A. V. Topchiev, B. A. Krentsel, and D. E. Ilina
1957 SovietRxiv: ru-195701.45567

This paper examines deep chlorination of propane as a heat-intensive reaction that is difficult to control under conventional conditions, and evaluates a model process using a moving inert heat carrier. Experiments were conducted with mullite granules in a closed circulating system at 360 to 395°C, …

Some Features of the Kinetics of Hydrogen Iodide Addition to Unsaturated Compounds

Academician of the Academy of Sciences of the Ukrainian SSR E. A. Shilov and D. F. Mironova
1957 SovietRxiv: ru-195701.45424

This study examines the kinetics and mechanism of hydrogen iodide addition to several unsaturated compounds, including cyclohexene, allyl chloride, 1,2-dimethylcyclohexene, and dimethyl acetylenedicarboxylate, in different solvents. Kinetic measurements show that iodine catalyzes addition to cyclohe…

Hydrogenation of Ethylcyclobutane and 1,1,2-Trimethylcyclopropane in the Presence of Palladized Charcoal

Hydrogenolysis:
1957 SovietRxiv: ru-195701.45395

This study examines the hydrogenation of ethylcyclobutane and 1,1,2-trimethylcyclopropane over a 20 percent palladized carbon catalyst, with comparison to known behavior over platinized carbon. The authors pass hydrocarbon and hydrogen mixtures over reduced catalyst at controlled temperatures and id…

Asymptotic Solution with Three Arbitrary Functions of the Equations of One-Dimensional Unsteady Gas Motion

Unknown
1957 SovietRxiv: ru-195701.45333

The paper presents an asymptotic solution of the one-dimensional unsteady equations for an ideal gas with spherical symmetry, expressed in terms of characteristic variables. The pressure, density, velocity, and integrating factors are expanded in series in inverse powers of radius with logarithmic t…

Catalytic Transformations of 1,1,2-Trimethylcyclopropane in the Presence of Palladized Carbon and Activated Carbon

M. Yu. Lukina, S. V. Zotova, and B. A. Kazanskii
1957 SovietRxiv: ru-195701.45330

The study examines whether palladized charcoal and activated charcoal catalyze isomerization of 1,1,2-trimethylcyclopropane, in contrast to hydrogenolysis reactions previously observed for alkylcyclopropanes. In flow experiments at 220°C, followed by hydrogenation and fractionation of the olefinic p…

ASYMPTOTIC REPRESENTATIONS OF SPHEROIDAL FUNCTIONS WITH AZIMUTHAL INDEX \(m=1\)

1.** Let an equation of the form be given
1957 SovietRxiv: ru-195701.45113

This paper derives asymptotic representations for angular spheroidal functions with azimuthal index m = 1 in the large parameter regime. Using a comparison equation method, the spheroidal differential equation is transformed to an equation with degenerate hypergeometric solutions, chosen to preserve…

Synthesis of 2-Substituted Dehydroquinolizinium Salts

Unknown
1957 SovietRxiv: ru-195701.45077

This paper describes a synthesis of previously unknown 2-substituted dehydroquinolizinium salts using alpha-picolyllithium and dimethyl acetals of acylacetaldehydes derived from beta-chlorovinyl ketones. The reaction gives lithium alcoholates that are cyclized with hydrobromic acid to 2-hydroxy-2-su…

On a Method for Numerical Integration of Diffusion Equations

We shall solve the equation
1957 SovietRxiv: ru-195701.44985

This paper proposes a finite difference method for numerically integrating the one dimensional heat equation with homogeneous boundary conditions. The method alternates two one sided implicit difference sweeps, which can be implemented explicitly because the associated matrices are bidiagonal, and i…

OPERATOR-ANALYTIC FUNCTIONS OF ONE INDEPENDENT VARIABLE

Let
1957 SovietRxiv: ru-195701.44564

The paper develops a theory of functions analytic with respect to an ordinary linear differential operator with continuous coefficients on an interval. It defines infinite operator differentiability and operator analyticity through factorial growth estimates, constructs an operator basis analogous t…

Condensation of Acetylene with Methylheptenone and Its Analogs. Synthesis of Linalool and Its Analogs

Academician I. N. NAZAROV, B. P. GUSEV, S. M. MAKIN,
1957 SovietRxiv: ru-195701.44515

This paper describes the synthesis of linalool and related vinyl alcohols through condensation of acetylene with methylheptenone and analogous ketones, followed by selective partial hydrogenation. The authors show that powdered potassium hydroxide promotes the acetylene condensation under mild press…

On the Interaction of Tetramethylene- and Pentamethylenedimagnesium Bromides with $\Delta^2$-Cyclopentenyl Chloride

A. F. PLATÉ and V. I. STANKO
1957 SovietRxiv: ru-195701.44062

This study examines the reactions of cyclopentenyl chloride with tetramethylene and pentamethylenedimagnesium bromides as a route to hydrocarbons containing two cyclopentane rings. The reactions gave the expected unsaturated dicyclopentenyl derivatives, 1,4-di(cyclopentenyl)butane and 1,5-di(cyclope…

Distribution of Small Amounts of Carbon in Alloyed Iron

A. S. ZAVYALOV and B. I. BRUK
1957 SovietRxiv: ru-195701.44030

This study examines the microscopic redistribution of small amounts of carbon in low-carbon iron alloys separately alloyed with chromium, nickel, silicon, and molybdenum. Using autoradiography with carbon-14 introduced by isotopic exchange, the authors compare carbon distributions after annealing, q…