Showing 50 of 25456 papers

Manifestation of the Crystalline Structure of Isotactic Polymethyl Methacrylate in Infrared Absorption Spectra

Unknown
1963 SovietRxiv: ru-196301.61683

This paper examines how the crystalline, helical structure of isotactic polymethyl methacrylate is reflected in its infrared absorption spectrum. Films prepared from chloroform solution were crystallized by swelling in 4-heptanone, characterized by X-ray diffraction, and compared with amorphous, hea…

On the optimality of the principal lattice of Voronoi’s first type among lattices of the first type in any dimension

A. F. GAMETSKII
1963 SovietRxiv: ru-196301.61651

This paper studies lattice coverings of Euclidean space by balls centered at lattice points, focusing on lattices of the first type in Voronoi’s classification. It proves that Voronoi’s principal lattice of the first type, constructed from a regular Selling frame, gives the least covering density am…

Suydam Instability at Finite Ion Larmor Radius

L. V. MIKHAILOVSKAYA, A. B. MIKHAILOVSKII
1963 SovietRxiv: ru-196301.61646

This paper examines how Suydam instability in a plasma confined by a helical magnetic field is modified when the finite ion Larmor radius is included beyond the magnetohydrodynamic approximation. Starting from the collisionless kinetic equation, the authors calculate the wave induced plasma currents…

Investigation of Hydrogen Bonding by NMR. The Effect of Steric Hindrance on Hydrogen Bonding in Di-ortho-alkylphenols

Unknown
1963 SovietRxiv: ru-196301.61575

High-resolution proton magnetic resonance was used to examine how ortho alkyl substitution affects hydrogen bonding of sterically hindered phenols, including 2,6-xylenol, 2,6-diisopropylphenol, and ionol, in carbon tetrachloride and donor solvents. Concentration-dependent shifts of the hydroxyl prot…

Density of Finite Functions in the Space $L_p^{(m)}(E_n)$

S. L. SOBOLEV
1963 SovietRxiv: ru-196301.61537

This note gives a direct proof that finite functions are dense in the homogeneous Sobolev-type space \(L_p^{(m)}(E_n)\) for \(p>1\), whose norm is defined by the \(L_p\) integral of all derivatives of order \(m\). The argument reduces the problem to smooth representatives with controlled behavior at…

Placement of Intermediate Information in Computations on Non-Erasing Turing Machines

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1963 SovietRxiv: ru-196301.61515

This paper studies how nonerasing Turing machines can compute operators on infinite input sequences when part of the tape is reserved for intermediate information that is not counted as output. It defines universal scratchpads for such computations and characterizes them, for recursive sets with inf…

Proton NMR spectra and conformation of $\Delta^3$-carene oxide

B. A. Arbuzov, Yu. Yu. Samitov, Z. G. Isaeva
1963 SovietRxiv: ru-196301.61420

This study examines the relationship between proton NMR spectra and the conformation of the two stereoisomeric oxides of delta 3 carene, alpha 3,4 epoxycarane and beta 3,4 epoxycarane. The authors compare high resolution proton NMR spectra, assign methyl, cyclohexane, and cyclopropane proton signals…

Optimal Modes of Motion of a Variable-Mass Point in a Homogeneous Central Field

G. E. KUZMAK, V. K. ISAEV, B. Kh. DAVIDSON
1963 SovietRxiv: ru-196301.61227

This paper studies optimal control for the motion of a variable mass point in a homogeneous central gravitational field under bounded reactive thrust. Using Pontryagin’s maximum principle, the authors derive adjoint equations and exploit their explicit solution in the approximating field model, wher…

On the Dependence of the Temperature Coefficient of the Burning Rate of Explosives and Propellants on Pressure

Unknown
1963 SovietRxiv: ru-196301.61062

The paper examines how the temperature coefficient of the burning rate of explosives and propellants depends on pressure, with particular attention to nitroglycerin propellants and a potassium perchlorate, bitumen model mixture. Using experimental comparisons and Zel’dovich’s combustion theory, the …

On the Stability of Complex Compounds of Divalent Platinum of the Mono- and Triammine Type

A. A. GRINBERG, M. I. GELF’MAN
1963 SovietRxiv: ru-196301.60840

This paper examines the stability of divalent platinum complex compounds in the monoammine and triammine members of the Werner-Miolati transition series, complementing earlier work on platinate, diammine, and tetrammine complexes. Potassium Cossa salt and Cleve chloride were synthesized, analyzed, a…

Carbonium Ion Polymerization of Polyester Acrylates

Unknown
1963 SovietRxiv: ru-196301.60768

This paper investigates carbonium polymerization of several polyester acrylates, including MGF-9, TMGF-11, and MDF-2, using titanium tetrachloride as catalyst, with attention to the formation and properties of soluble beta-polymers and three-dimensional polymers. The authors characterize the product…

Test Spaces

Unknown
1963 SovietRxiv: ru-196301.60761

This paper studies cohomological dimension functions of finite-dimensional compacta with respect to the Bockstein system of coefficient groups and their relation to Urysohn dimension. It proves a partial realization theorem for dimension functions, constructs corresponding test spaces, and shows how…

Synthesis of Some Triethylsilyl-Substituted Alkylphosphinic Acids and Their Esters

E. A. CHERNYSHEV, E. F. BUGERENKO,
1963 SovietRxiv: ru-196301.60617

A series of triethylsilyl-substituted alkylphosphinic acid esters with varying methylene chain length was synthesized by Arbuzov-type reaction of chlorosilanes with triethyl phosphite or by radical addition of diethyl phosphite to silicon-containing olefins. Hydrolysis of these esters with hydrochlo…

Kinetics of the reaction of chlorine atom substitution in some aryl- $\beta$ -chlorovinyl ketones

T. A. KUDRYAVTSEVA, N. M. CHIRKOV, N. K. KOCHETKOV
1963 SovietRxiv: ru-196301.60515

This study examines how para substituents in the aromatic ring affect nucleophilic substitution of the β-vinylic chlorine atom in aryl-β-chlorovinyl ketones. The authors measured the kinetics of reaction with sodium ethoxide in absolute ethanol between minus 5 and minus 30 °C, following halide ion f…

Lactones of the Sakhalin Cork Tree Phellodendron sacchalinense (Fr. Schmidt) Sarg

G. K. Nikonov, R. K. Veremei
1963 SovietRxiv: ru-196301.60448

This study investigates the neutral lactone constituents of the bark of Sakhalin cork tree, Phellodendron sacchalinense, a medicinal plant whose chemistry had been little examined beyond known alkaloids. Alcoholic and acid-alcoholic extraction, crystallization, solvent partitioning, elemental analys…

Infrared Absorption Spectra of Stereoisomers of Propenyllithium

Academician A. N. NESMEYANOV, A. E. BORISOV, N. V. NOVIKOVA,
1963 SovietRxiv: ru-196301.60364

This study reexamines the infrared absorption spectra of cis- and trans-propenyllithium in response to discrepancies arising from earlier measurements in ether solution, where some observed bands were attributable to ether. The authors prepared both stereoisomers under argon and recorded spectra for…

Spectropolarimetric Study of Schiff Bases of the Furan Series

Corresponding Member of the Academy of Sciences of the USSR A. P. TERENT'EV, R. A. GRACHEVA, L. F. TITOVA,
1963 SovietRxiv: ru-196301.60241

This study examines the relationship between structure and optical activity in Schiff bases derived from optically active furan-series amines. Two series of Schiff bases from alpha-furylethylamine and alpha-(5-methylfuryl)ethylamine with substituted benzaldehydes, as well as furfural derivatives, we…

Characterization of Some Classes of Finite Groups

Ya. G. BERKOVICH
1963 SovietRxiv: ru-196301.60193

This note studies characterizations of finite groups by the structure and number of classes of noninvariant solvable subgroups, especially classes defined by isoordinality or isomorphism and by restrictions on prime divisors. It introduces quasinilpotent groups through a condition on pairs of subgro…

On a Boundary Value Problem

Unknown
1963 SovietRxiv: ru-196301.60180

This paper studies a boundary value problem for a linear odd order evolution equation on a finite strip, with homogeneous initial data and asymmetric boundary conditions for derivatives at the two endpoints. The argument establishes a priori estimates for finite expansions in the eigenfunctions and …

ON THE NATURE OF THE CONTACT OF THE FREE SURFACE OF A LIQUID WITH A SOLID BOUNDARY IN THE PROBLEM OF WEDGE PENETRATION

Unknown
1963 SovietRxiv: ru-196301.60108

The paper studies the nonlinear self-similar problem of a wedge penetrating an ideal incompressible weightless liquid at constant velocity, focusing on the previously unresolved contact between the liquid free surface and the solid wedge boundary. The flow is formulated through a conformal mapping f…

On the Stability of Stationary States of Quantum Generators

Academician of the Academy of Sciences of the BSSR B. I. STEPANOV
1963 SovietRxiv: ru-196301.60096

This paper analyzes the stability of stationary states in quantum generators with resonators of arbitrary form. It formulates gain and loss balance along ray paths, includes losses from scattering, absorption, coatings, and radiation escape, and uses a nonlinear saturation model to derive conditions…

On the Semiempirical Theory of Isotropic Hyperfine Splitting in the EPR Spectra of Free Radicals

P. V. SCHASTNEV, G. M. ZHIDOMIROV
1963 SovietRxiv: ru-196301.60012

This paper examines semiempirical relations used to interpret isotropic hyperfine splitting in the EPR spectra of free radicals, especially the extension of the Karplus and Fraenkel formula to bonds formed by nonequivalent atoms or orbitals. By considering pi and sigma configurational interaction fo…

On Internal Waves in an Ocean with Nonuniform Density

Unknown
1963 SovietRxiv: ru-196301.59885

This paper examines progressive internal waves in a continuously stratified ocean with a density profile consisting of an upper homogeneous layer and an exponentially varying main thermocline. Starting from the linear stream-function equation for two-dimensional harmonic waves, the author derives an…

INTENSITY OF THE VERTICAL TRANSFER OF WATERS IN THE OCEAN

Unknown
1963 SovietRxiv: ru-196301.59808

This paper estimates the intensity of vertical water transfer between the sea surface and near-bottom layers in a real ocean basin, motivated by questions about the possible deep-ocean disposal of radioactive decay products. Using a quasi-stationary dynamical model of ocean circulation, the analysis…

Alkylation of ferrocenylamine

A. N. NESMEYANOV, V. A. SAZONOVA, V. I. ROMANENKO
1963 SovietRxiv: ru-196301.59750

This paper examines the previously undescribed alkylation of ferrocenylamine and related stability questions arising from photochemical cleavage of substituted ferrocene systems. Ferrocenylamine was treated without solvent with triethyloxonium borofluoride to give ethylferrocenylamine in 77% yield, …

Refractivities of Certain Bonds in Organoarsenic Compounds

GIL’M KAMAI, B. D. CHERNOKAL’SKII
1963 SovietRxiv: ru-196301.59717

This paper extends the bond refraction method for calculating molecular refraction to organoarsenic compounds, where previous calculations relied on class specific atomic refractions for arsenic. Using published density and refractive index data and the Lorentz Lorenz formula for the sodium D line, …

Soft X-ray Emission from Stars

Unknown
1963 SovietRxiv: ru-196301.59691

This paper estimates the expected soft X-ray radiation of bright stars at wavelengths below 100 Å, motivated by the increasing feasibility of rocket observations and by strong interstellar absorption at longer extreme-ultraviolet wavelengths. Using coronal emission measures from earlier stellar atmo…

STRUCTURE OF RADIOACTIVE PRECIPITATES

![Fig. 1. Change in the surface area of sulfates of Ca, Sr, Ba as a function of specific radioactivity.](figure)
1963 SovietRxiv: ru-196301.59630

This study examines how radioactivity affects the structure of precipitated calcium, strontium, and barium sulfates, focusing on specific surface area and crystal size distribution. Radioactive precipitates were prepared under controlled conditions with varying amounts of sulfur-35 or calcium-45, th…

Influence of strain rate on the amount of deformation and strength of oriented fiberglass composites

Unknown
1963 SovietRxiv: ru-196301.59583

This paper examines how the rate of deformation affects ultimate strength and maximum strain in oriented glass-reinforced plastics under uniaxial compression or tension. Using a viscoelastic model based on elastic and highly elastic deformation components and Maxwell-Gurevich type equations, the aut…

On Lie Algebras with a Regular Automorphism

Unknown
1963 SovietRxiv: ru-196301.59559

This note studies finite-dimensional Lie algebras admitting regular automorphisms, with emphasis on positive characteristic, where the problem is related to degenerate simple Lie algebras. The authors prove that a Lie algebra over a field of characteristic p greater than 0 with a regular automorphis…

Isochoric Heat Capacity of Water and Water Vapor in Single- and Two-Phase Regions Adjacent to the Boundary Curve, Including the Critical Point

Kh. I. Amirkhanov, A. M. Kerimov
1963 SovietRxiv: ru-196301.59329

This paper reports high-resolution adiabatic calorimetric measurements of the constant-volume heat capacity of water and water vapor near the liquid-vapor boundary curve, including the critical region. By reducing temperature and specific-volume steps and improving the calorimeter, the authors measu…

ON THE INFLUENCE OF PRESSURE ON THE PHASE EQUILIBRIUM GRAPHITE—CEMENTITE IN THE IRON—CARBON SYSTEM

The transformation
1963 SovietRxiv: ru-196301.59007

This paper examines how hydrostatic pressure affects the graphite and cementite phase equilibrium in the iron carbon system, where graphite is stable at atmospheric pressure but cementite may become stable under compression. Using thermodynamic calculations for alpha iron and gamma iron regions, wit…

On a problem of Neuwirth on knot groups

Unknown
1963 SovietRxiv: ru-196301.58865

This paper addresses Neuwirth’s question whether every knot group can be expressed as the free product of two free groups of equal rank with an amalgamated subgroup of rank one less than twice that rank. Using Heegaard splittings, canonical cuts on handlebody boundaries, van Kampen’s theorem, and a …