Showing 50 of 25456 papers

On the application of the variational principle to problems of a binary alloy and the Ising system

Unknown
1957 SovietRxiv: ru-195701.95764

This paper applies Bogolyubov’s variational principle to binary alloy and Ising model problems by choosing a trial Hamiltonian that includes interactions within pairs of neighboring lattice sites, while treating interactions between pairs variationally. For a 50 percent binary alloy, the method yiel…

On Matrix Schemes

Yu. I. YANOV
1957 SovietRxiv: ru-195701.95749

This paper develops a formal theory of matrix schemes, which represent the order of execution of operators controlled by logical variables and by specified sets of variables whose values may change after each operator. It defines admissible sequences, determinacy of a matrix scheme, equivalence of s…

Isotopic exchange of some organomercury salts with metallic mercury labeled with $\mathrm{Hg}^{203}$

Unknown
1957 SovietRxiv: ru-195701.95496

This study examines isotopic exchange between several organomercury salts and metallic mercury labeled with Hg-203, with emphasis on alpha-mercurated oxo compounds. Reactions were conducted under standardized heterogeneous conditions in benzene or dioxane, and exchange was measured by isolating and …

Phases of meson-nucleon scattering in the energy region up to 310 MeV

A. I. MUKHIN, I. V. POPOVA, and G. N. TENTYUKOVA
1957 SovietRxiv: ru-195701.95278

This paper analyzes phase shifts in elastic scattering of positive pi mesons by protons in the energy range up to about 310 MeV, where contributions beyond S and P waves may begin to matter. Experimental angular distributions are fitted by least squares, and electronic-computer searches are used to …

Effect of Gases on the Floatability of Some Nonsulfide Minerals Depending on Their Crystal Structure

Unknown
1957 SovietRxiv: ru-195701.94973

This paper examines how dissolved gases, especially oxygen, affect the flotation of the nonsulfide minerals fluorite and barite, and relates these effects to differences in crystal structure and surface fields. Flotation experiments on purified mineral fractions under controlled oxygen, nitrogen, an…

Critical conditions for inertial deposition of aerosols in viscous flow around a cylinder and a sphere

The equations of motion of an aerosol particle in a flow, for Stokes’ law of resistance of the medium, have the form
1957 SovietRxiv: ru-195701.94700

This paper examines the critical Stokes number for inertial deposition of aerosol particles in viscous flow around a cylinder and a sphere, emphasizing that a formula valid for potential flow cannot be applied to viscous flow because the no-slip boundary condition makes the relevant velocity gradien…

$\delta$-Lactones. Preparation of acylated butyrolactones from $\gamma$-bromo-$\delta$-keto acids

N. P. Shusherina, M. Yu. Lur’e, and R. Ya. Levina
1957 SovietRxiv: ru-195701.94681

This paper describes a preparative conversion of gamma-bromo-delta-keto acids into butyrolactones acylated at position 5 using saturated aqueous sodium acetate under cold conditions. The method was applied to several aliphatic and cyclic substrates, affording 5-acetylbutyrolactone, 5-acetyl-5-methyl…

Extrapolation of Homogeneous Random Fields and the Amount of Information About a Gaussian Random Field Contained in Another Gaussian Random Field

Unknown
1957 SovietRxiv: ru-195701.94531

This paper extends Kolmogorov’s theory of extrapolation for stationary processes to multidimensional homogeneous random fields with discrete and continuous arguments. It introduces direction-independent notions of regularity, nonsingularity, and singularity, proves decomposition and moving-average t…

Synthesis of 4-Alkyl-1-azadehydroquinolizinium Salts

Unknown
1957 SovietRxiv: ru-195701.94469

This paper reports the synthesis of salts of 4-alkyl-1-azadehydroquinolizinium, an aza analog of the dehydroquinolizinium system whose chemistry had been little studied. The authors condense alpha-aminopyridine with beta-ketoacetals to form 2-acylacetylaminopyridines, then cyclize aliphatic derivati…

2,4-Dimethylpenta-1,3-diene in the Synthesis of Alkanes with Two Quaternary Carbon Atoms Separated by a $\mathrm{CH}_2$ -Group (Ditertiaryalkylmethanes)

Unknown
1957 SovietRxiv: ru-195701.94452

This paper describes a synthetic route from 2,4-dimethylpentadiene-1,3 to paraffinic hydrocarbons containing two quaternary carbon atoms separated by a methylene group, termed ditertiaryalkylmethanes. The method proceeds through hydrochlorination of the diene, reaction with alkylmagnesium bromides t…

Alkylation of Benzene with Ethylene in the Presence of a Series of Phosphoric Acids Containing Fluorine and Boron Fluoride

A. V. TOPCHIEV and V. N. ANDRONOV
1957 SovietRxiv: ru-195701.94425

This paper examines the alkylation of benzene with ethylene at room temperature using molecular compounds of orthophosphoric, monofluorophosphoric, and difluorophosphoric acids with boron fluoride as catalysts. The authors describe batch experiments measuring ethylene conversion and alkylate composi…

On the dependence between moduli of smoothness of functions defined on the entire real line

A. F. TIMAN and M. F. TIMAN
1957 SovietRxiv: ru-195701.94217

This paper studies relations between moduli of smoothness of different orders for measurable functions on the whole real axis in the spaces Lp, 1 ≤ p ≤ ∞. The authors prove an integral inequality estimating a lower order modulus of smoothness in terms of a higher order modulus, derive consequences f…

Detection of Radicals by the Nuclear Resonance Method

Unknown
1957 SovietRxiv: ru-195701.94196

This paper proposes using nuclear magnetic resonance absorption, under rapid passage conditions, as an indirect means of detecting free radicals through their effect on spin lattice relaxation time. The authors test the idea with benzene solutions containing diphenylpicrylhydrazyl, with increased vi…

On the influence of the drag effect on thermomagnetic phenomena in bismuth selenide

Academician of the Academy of Sciences of the Azerbaijan SSR Kh. I. AMIRKHANOV, R. I. BASHIROV,
1957 SovietRxiv: ru-195701.94059

This paper examines how phonon drag affects thermomagnetic phenomena in polycrystalline bismuth selenide. Measurements of electrical conductivity, Hall effect, thermopower, and transverse and longitudinal Nernst-Ettingshausen effects were performed on several specimens between 120 and 700 K, with bo…

ON CONJUGATE PROBLEMS IN THE THEORY OF THIN SHELLS

Unknown
1957 SovietRxiv: ru-195701.94057

This note extends the idea of conjugate problems from plane elasticity to the theory of thin shells. Under simplifying assumptions for a homogeneous shell with boundary along a line of curvature and zero Poisson coefficient, it introduces complex combinations of displacements, stresses, moments, and…

Magnetohydrodynamics

S. I. Syrovatsky
1957 SovietRxiv: ru-195701.94047

Although magnetohydrodynamics is a young, rapidly developing field of physics, a number of important results have already been obtained in it that make it possible to identify the characteristic features of the range of phenomena under consideration. The main results are presented in the present rev…

On the Question of Pulsation of a Plasma Pinch

Unknown
1957 SovietRxiv: ru-195701.94008

This paper studies pulsations of a plasma pinch in ideal magnetohydrodynamics for one-dimensional axisymmetric motion with circular magnetic field lines. It derives a class of exact homogeneous-deformation solutions in Lagrangian coordinates, expressing density, pressure, and magnetic field through …

On the Statistical Theory of Crystallization

Unknown
1957 SovietRxiv: ru-195701.93969

The paper extends a statistical theory of crystallization based on Bogolyubov’s method from one-component systems to multicomponent systems with short-range interactions. It derives functional equations for generating functionals and correlation functions, expresses distribution functions through si…

On Local Infinite Divisibility of Markov Processes

A. V. MARTYNOV
1957 SovietRxiv: ru-195701.93753

This paper develops a local form of infinite divisibility for general stochastic processes, especially Markov processes that may be inhomogeneous in space and time. It defines right and left differentiability of families of distribution functions through local limits of characteristic functions and …

REGIONS OF EXTENSION IN THE EARTH’S SHELL

Unknown
1957 SovietRxiv: ru-195701.93400

This paper examines whether seismic wave velocities can be used to infer zones of relative extension within the Earth’s shell despite the lack of direct density data at depth. Using published longitudinal and transverse wave velocities, it derives the ratio of bulk modulus to rigidity modulus and re…

Crystallographic Study of Monovalent Thallium Sulfates

Unknown
1957 SovietRxiv: ru-195701.93373

This study examines the crystallographic and crystal optical properties of acid sulfates of monovalent thallium formed from thallium sulfate in sulfuric acid solutions. Using immersion refractometry, goniometric measurements, and optical microscopy, the authors characterize Tl3H(SO4)2, TlHSO4, and T…

On the Nonlinear Theory of Thin Plates

N. F. MOROZOV
1957 SovietRxiv: ru-195701.93318

This paper studies the existence of solutions for the nonlinear bending problem of thin plates governed by the Kármán equations under clamped and related boundary conditions. The differential system is transformed into an integro-differential equation using the biharmonic Green function, and the Sch…

On Some Properties of Series in Faber Polynomials

Unknown
1957 SovietRxiv: ru-195701.93290

The paper studies analytic continuation and convergence properties of series in Faber polynomials associated with a bounded simply connected domain and its exterior conformal mapping. It establishes a correspondence between such Faber series and ordinary power series with the same coefficients, usin…

INVESTIGATION OF THE PHASE DIAGRAM OF THE SYSTEM RbF—BeF₂ AND ITS RELATION TO THE SYSTEM BaO—SiO₂

Unknown
1957 SovietRxiv: ru-195701.93271

The study constructs the phase diagram of the previously unexamined RbF and BeF2 system as a fluoride model for comparison with BaO and SiO2. Using differential thermal analysis, X-ray phase analysis, and crystal optical examination of synthesized rubidium fluoroberyllates, the work identifies three…

Some Silicon Hydrocarbons of the Disilanemethane and Disilaneethane Series

A. V. TOPCHIEV, N. S. NAMETKIN, and F. F. MACHUS
1957 SovietRxiv: ru-195701.93265

This paper reports the preparation and characterization of several silicon hydrocarbons in the disilanemethane and disilaneethane series bearing varied alkyl substituents. The compounds were synthesized through reactions of organolithium reagents with alkylchloro and dialkylchloro disilanemethane de…

On the Influence of Gas Mixture Composition on the Yield of Carbonyl Compounds in the Oxidation of Propylene over a Copper Catalyst

Unknown
1957 SovietRxiv: ru-195701.92902

This study examines how the propylene to oxygen ratio affects formation of carbonyl compounds during propylene oxidation over a 1.5% copper oxide catalyst on silicon carbide at 350°C. Using product derivatization, hydroxylamine titration, gas analysis, and ultraviolet spectrophotometry, the authors …

$\delta$-Lactones. Conversion of dibromides of unsaturated $\delta$-lactones into bromo-substituted $\delta$-keto acids and their esters

Unknown
1957 SovietRxiv: ru-195701.92834

This study examines the reactions of dibromides of unsaturated delta lactones with water and ethyl alcohol as routes to bromine substituted delta keto acids and their esters. The authors show that hydrolysis proceeds with lactone ring opening and loss of hydrogen bromide to give gamma or epsilon bro…

Observation of the domain structure of a ferromagnet using photoelectrons

G. V. SPIVAK, T. N. DOMBROVSKAYA, and N. N. SEDOV
1957 SovietRxiv: ru-195701.92793

This paper presents an electron-optical method for observing ferromagnetic domain structure using photoelectrons focused by magnetic optics. The authors describe a photoelectron emission microscope in which an antimony, cesium photocathode is formed on a cobalt specimen, allowing local magnetic micr…

Zinc Borate Phosphors and Their Luminescent Properties

Unknown
1957 SovietRxiv: ru-195701.92775

This paper examines manganese-activated zinc-borate phosphors and the factors controlling their luminescence color. Using X-ray powder diffraction, luminescence spectra, thermoluminescence measurements, and thermal analysis, it identifies two individual phosphor phases, ZnO·B2O3(Mn) with green emiss…

On the Composition of Gaussian and Poisson Probability Laws

Unknown
1957 SovietRxiv: ru-195701.92322

The note proves a decomposition theorem for a random variable represented as the sum of independent Gaussian and Poisson components, generalizing results of Cramér and Raikov. It shows that any decomposition of such a law into two independent summands must itself split into corresponding Gaussian an…

Adsorption of aliphatic alcohols from solutions on silica gel and white carbon black

A. K. BONETSKAYA and K. G. KRASILNIKOV
1957 SovietRxiv: ru-195701.92312

This study examines the adsorption of normal aliphatic alcohols from carbon tetrachloride solutions on two hydrophilic silica adsorbents with similar hydrated surfaces but different structures: porous silica gel and practically nonporous white soot. Adsorption isotherms and limiting adsorption value…