Showing 50 of 25456 papers

On the Equilibrium of the Reaction of Beryllium Oxide Reduction by Carbon

F. Sh. MURATOV and A. V. NOVOSELOVA
1962 SovietRxiv: ru-196201.06931

This paper reexamines the equilibrium of the reduction of solid beryllium oxide by graphite to form beryllium carbide and carbon monoxide at 1800 to 2000 K, refining earlier measurements affected by specimen preparation and degassing. Using a static equilibrium method with carefully calcined, mixed,…

RINGS OVER WHICH FLAT MODULES ARE FREE

Unknown
1962 SovietRxiv: ru-196201.06889

This paper studies associative rings with identity over which flat left modules are necessarily free. It first proves that a left module is flat if and only if it can be represented as the direct limit of a directed system of projective modules, and then strengthens this to a representation as the d…

ADSORPTION OF CARBON MONOXIDE ON COPPER AND THE STRUCTURE OF ITS SURFACE COMPOUNDS ACCORDING TO INFRARED SPECTRA

Unknown
1962 SovietRxiv: ru-196201.06849

Carbon monoxide adsorption on copper was investigated to clarify the chemical nature of adsorption on copper-group metals and the structure of the resulting surface compounds. Measurements were made on evaporated copper layers and on copper supported on alumina or aerosil over temperatures from minu…

Investigation of the Radicalization of Benzoquinhydrone and Phenazhydrine on Solid Surfaces by EPR

I. P. Gragerov, M. P. Ponomarchuk, V. V. Strelko, L. N. Ganyuk,
1962 SovietRxiv: ru-196201.06739

This study uses electron paramagnetic resonance to examine radical formation in phenazhydrine and benzoquinhydrone in solution, crystalline states, and after adsorption on solid surfaces. Phenazhydrine shows no detectable radical dissociation in neutral ether or dioxane solution, but crystalline phe…

Phase diagram of the $\mathrm{BaO}$ – $\mathrm{SiO}_2$ system in the region of elevated silica content

R. G. GREBENSHCHIKOV and N. A. TOROPOV
1962 SovietRxiv: ru-196201.06705

This study reexamines the silica-rich region of the BaO, SiO2 phase diagram, where earlier interpretations disagreed on whether intermediate compositions between dibarium trisilicate and barium disilicate form continuous solid solutions or distinct compounds. Synthesized compositions were investigat…

Theory of Rainfall

Unknown
1962 SovietRxiv: ru-196201.06583

This paper develops a theoretical model of shower rain formation in a cloud with a constant ascending air flow, treating droplet growth by condensation and gravitational coagulation while allowing supersaturation to vary with height. The authors derive equations for water content, droplet concentrat…

More on the Behavior of a Liquid Losing Weight

Unknown
1962 SovietRxiv: ru-196201.06518

This paper examines how a liter of water in contact with a hydrophobic solid surface changes shape as effective gravity is reduced to zero, extending earlier analysis of liquid behavior in spacecraft conditions. Using capillary surface theory, especially the Bashforth and Adams droplet profiles and …

Heterolytic Transformations of Polyfluorinated Azoalkanes

V. A. GINSBURG, A. Ya. YAKUBOVICH, A. S. FILATOV, G. E. ZELENIN,
1962 SovietRxiv: ru-196201.06504

This paper investigates heterolytic reactions of polyfluorinated azoalkanes, a class previously known mainly for homolytic decomposition and addition reactions. Through reactions with reducing agents, acids, nucleophiles, dienes, diazomethane, azines, and organomagnesium compounds, the authors show …

Influence of External Factors on the Mechanism and Stereochemical Direction of the Wittig Reaction

M. M. SHEMYAKIN
1962 SovietRxiv: ru-196201.06449

This paper examines how solvents and additives influence the stereochemical course of the Wittig reaction, using the reaction of benzylidenetriphenylphosphorane with propionaldehyde as the principal example. Gas liquid chromatographic measurements show that nonpolar media favor predominantly trans-b…

ON A CLASS OF TANGENTIALLY DEGENERATE SURFACES

Unknown
1962 SovietRxiv: ru-196201.06448

The paper studies tangentially degenerate projective surfaces of rank r for which one focal image has no multiple components while the other may contain a single multiple component. Using moving frames and matrix relations governing the displacement of plane generators and tangent planes, it derives…

Measurement of Adsorption Potentials on Smooth Platinum

A. D. OBRUCHEVA
1962 SovietRxiv: ru-196201.06338

This study examines the measurement of adsorption potential shifts on smooth platinum electrodes, extending earlier work performed on platinized platinum. Because the small surface area of smooth platinum makes measurements highly sensitive to trace reducible or oxidizable impurities, the work devel…

ON ONE TYPE OF RIBAUCOUR TRANSFORMATIONS

In the present note one special type of Ribaucour transformation is considered.
1962 SovietRxiv: ru-196201.06263

This note studies a special class of Ribaucour transformations in three-dimensional conformal space, defined through the passage between the two sheets of the envelope of a sphere congruence while preserving Takasu conformally asymptotic lines. Using Gaidelman’s canonical moving frame, the paper der…

ON THE UNIQUENESS OF A MINIMAL SEMIREDUCIBLE DECOMPOSITION

Unknown
1962 SovietRxiv: ru-196201.06262

The paper studies uniqueness questions for semireducible decompositions of positive definite Riemannian metrics, expressed as a principal part plus conformally weighted supplementary metrics. It reformulates such decompositions through a system of equations for a symmetric tensor and a scalar functi…

Structure of the compound $\mathrm{NH}_4\mathrm{Na}[\mathrm{MoO}_3\mathrm{C}_2\mathrm{O}_4]\cdot2\mathrm{H}_2\mathrm {O}$ and its place in the classification of molybdenum compounds

L. O. ATOVMYAN and G. B. BOKII
1962 SovietRxiv: ru-196201.06144

This paper reports an X-ray structural study of ammonium sodium oxalatomolybdate dihydrate, NH4Na[MoO3C2O4]·2H2O, undertaken to test proposed analogies with related osmium and molybdenum oxalate complexes. Using Patterson and electron-density projections, the authors determine that the crystal has m…

Catalimetric titration

Unknown
1962 SovietRxiv: ru-196201.05945

This paper proposes catalimetric titration as a volumetric analytical method for very dilute solutions, using catalytic activity to indicate the equivalence point when ordinary indicators lack sufficient sensitivity. The authors develop the rationale from the relation between titration error, initia…

On a Generalization of the Spin-Wave Method

S. V. Tyablikov and E. N. Yakovlev
1962 SovietRxiv: ru-196201.05921

This paper develops a perturbative Green function approach to generalize the spin wave method for an isotropic ferromagnet with nearest neighbor exchange, aiming to calculate both spin wave energies and damping beyond the usual low temperature approximation. Using the Holstein Primakoff representati…

On the Structure and Sizes of Sensitivity Centers and Development Centers of Highly Sensitive Nuclear Emulsions of Type $P$

Unknown
1962 SovietRxiv: ru-196201.05889

This paper experimentally investigates the structure and approximate dimensions of sensitivity centers and latent-image development centers in high-sensitivity type P nuclear emulsions. Using controlled dissolution of atomic silver by dilute acids, the authors compare changes in track density for em…

On extremal quasiconformal mappings in space

Unknown
1962 SovietRxiv: ru-196201.05840

This note studies extremal quasiconformal mappings between three-dimensional cylindrical domains, in the sense of minimizing the product of two distortion bounds associated with the axes of the infinitesimal image ellipsoid. Using the modulus method for families of curves in space, it proves two com…

On the Behavior of the Solution of the First Boundary Value Problem with Zero Boundary Conditions for a General Parabolic Equation

Unknown
1962 SovietRxiv: ru-196201.05826

This note studies the large-time behavior of solutions to the first boundary-value problem with zero lateral boundary data for a general uniformly parabolic equation in time-dependent domains. Using comparison functions and maximum-principle arguments, it derives exponential estimates whose decay ra…

Diffusion Coefficients of Lead in Molten Chlorides

Yu. M. Ryabukhin and E. A. Ukshe
1962 SovietRxiv: ru-196201.05660

This paper reports chronopotentiometric measurements of the diffusion coefficients of lead ions in molten NaCl, KCl, and an equimolar NaCl, KCl mixture over a range of temperatures, using a platinum working electrode and molten lead reference system in an argon atmosphere. The measured coefficients …

On spaces dual to S. L. Sobolev spaces $W_p^l$

Unknown
1962 SovietRxiv: ru-196201.05645

This note studies the dual spaces of Sobolev spaces \(W_p^l(\Omega)\) and their zero-boundary subspaces for bounded domains with sufficiently smooth boundary and \(p>1\). It proves that, as sets of generalized elements, these conjugate spaces coincide with the corresponding \(W_q^l(\Omega)\) spaces,…

A New Method for the Synthesis of Alloxazines. On the Condensation of Aromatic o-Diamines with Violuric Acid and Its Thio Analogues

Unknown
1962 SovietRxiv: ru-196201.05420

This study examines the condensation of aromatic ortho-diamines with violuric acid and thio analogues as a route to alloxazines. The authors show that reaction conditions strongly affect product formation: boric acid in acetic acid media and especially dilute hydrochloric acid promote dehydration an…

On the direct synthesis of sodium and potassium alumohydrides from the elements

L. I. Zakharkin and V. V. Gavrilenko
1962 SovietRxiv: ru-196201.05342

This paper investigates the direct synthesis of sodium and potassium aluminum hydrides from aluminum, alkali metals or their hydrides, and hydrogen, with emphasis on replacing tetrahydrofuran by hydrocarbon media to avoid solvent cleavage and purification difficulties. The authors describe reactions…

Formation of Diaryl Nitroxide Radicals in Reactions of Amines with Peroxy Radicals

A. T. Koritzky, A. F. Lukovnikov
1962 SovietRxiv: ru-196201.05287

This study examines how secondary diarylamines react with hydrocarbon and peroxide radicals during radiolysis, using cumene systems irradiated with fast electrons and monitored by electron paramagnetic resonance. Experiments with diphenylamine and phenyl-beta-naphthylamine show that alkyl radicals d…

Strictly related models and recursively perfect algebras

Unknown
1962 SovietRxiv: ru-196201.05254

The paper addresses interpretability between algebraic models, motivated by Mostowski’s question on defining a group operation on the natural numbers that is mutually first-order interpretable with arithmetic. It introduces strict relatedness of models and recursively perfect algebras, proves that a…

Modeling Production Processes on Electronic Digital Computers

N. P. BUSLENKO
1962 SovietRxiv: ru-196201.05252

This paper discusses the simulation of production processes for large automated enterprises on general-purpose electronic digital computers, with attention to interacting random factors such as operation times, queues, equipment reliability, tool wear, defects, and process disruptions. It proposes p…

ON THE MAGNETIC PROPERTIES OF FERROCENE POLYMERS

Unknown
1962 SovietRxiv: ru-196201.05247

This paper reexamines previously reported electron paramagnetic resonance signals, positive susceptibility, and apparent ferromagnetic behavior in ferrocene polymers. Magnetic susceptibility and field dependence were measured from room temperature to liquid helium temperatures and up to 13 kOe for o…

Calculation of the Probability of an Elementary Act in Some Heterogeneous Redox Reactions

R. R. DOGONADZE and Yu. A. CHIZMADZHEV
1962 SovietRxiv: ru-196201.05207

This paper develops a quantum mechanical calculation of the probability of elementary electron transfer between an electrode and an ion in heterogeneous oxidation reduction reactions, restricted to processes not complicated by adsorption. The authors model the polar solvent as a continuous dielectri…

Cationic boron complexes

B. M. Mikhailov, N. S. Fedotov, T. A. Shchegoleva, and V. D. Sheludyakov
1962 SovietRxiv: ru-196201.05191

This paper examines the ability of boron to form cationic complexes, a capacity previously regarded as atypical in comparison with its neutral and anionic complex chemistry. The authors prepare and characterize several boronium salts, including diphenyl di(alkylamine) boronium tetrachloroferrates an…

On the combined action of $\beta$ radiation and a surface-active medium on the mechanical properties of zinc single crystals

Unknown
1962 SovietRxiv: ru-196201.05065

This study examines how beta irradiation and a surface-active mercury film jointly affect the mechanical behavior of zinc single crystals under tensile deformation. Using a phosphorus-32 beta source, the authors compare irradiated and nonirradiated pure and amalgamated zinc crystals at different def…

Linearly Enveloping Cycloidal Curves

![Fig. 1](figure)
1962 SovietRxiv: ru-196201.04949

The paper studies linearly enveloping cycloidal curves, defined as envelopes of straight lines fixed in the plane of a circle rolling without slipping on another circle or on a straight line. Using kinematic models of three-member satellite mechanisms, it derives equations for the family of line pos…

Measurement of the Speed of Ultrasound in Some Gases at High Density

L. F. VERESHCHAGIN, N. A. IOZEFOVICH, and A. V. CHELOVSKII
1962 SovietRxiv: ru-196201.04906

This paper reports measurements of ultrasonic velocity in nitrogen, argon, and helium at high densities, with pressures up to 3500 atm at 25 degrees Celsius. Using the Debye and Sears optical diffraction method in a high pressure vessel, the authors determined sound velocities from ultrasonic gratin…

Multiplication of multidigit numbers by automata

Unknown
1962 SovietRxiv: ru-196201.04697

This note studies the algorithmic complexity of multiplying multi-digit binary numbers by binary automata, with attention to lower and upper estimates for the number of elements and computation time. It records elementary lower bounds and presents constructions due to Ofman that trade circuit size a…

Monodeuterocyclopentadiene

E. V. Sobolev, V. A. Mironov, A. N. Elizarova
1962 SovietRxiv: ru-196201.04541

This study examines whether substituted cyclopentadienes undergo a hindered thermodynamic equilibrium among isomers differing in the positions of their intracyclic double bonds. Monodeuterocyclopentadiene was prepared from cyclopentadienylmagnesium bromide and deuterium oxide, and the resulting isom…

Some estimates near the boundary of a domain for a polyharmonic function and its derivatives defined on an $N$-dimensional domain

Unknown
1962 SovietRxiv: ru-196201.04531

This paper derives \(L_2\) estimates for polyharmonic functions and their partial derivatives of arbitrary order near the boundary of an \(N\)-dimensional domain with \(C^{(2)}\) boundary. The argument is developed primarily in three dimensions, using spherical representations, estimates for harmoni…

Expansions in Systems of Rational Functions with Fixed Poles

If the function
1962 SovietRxiv: ru-196201.04477

This note develops a generalized theory of expansions in rational functions with prescribed poles outside a continuum, extending Faber polynomial expansions through systems generated from Malmquist rational functions under conformal mapping. It defines modified rational systems depending on a parame…

On the Asymptotics of Distributions of Maximum Deviations

Unknown
1962 SovietRxiv: ru-196201.04144

This note develops an improved algorithm for asymptotic expansions of distributions of maximal deviations of normalized sums of independent identically distributed random variables, in both lattice and absolutely continuous cases. The method reduces the problem to a boundary value problem for an int…

Chromatography of Monosaccharide Derivatives in a Thin Layer of Aluminum Oxide

N. K. Kochetkov, B. A. Dmitriev, and A. I. Usov
1962 SovietRxiv: ru-196201.04106

The paper addresses limitations of paper chromatography for identifying and separating hydrophobic substituted carbohydrates, especially closely related monosaccharide derivatives. It describes the use of chromatography in an unfixed thin layer of aluminum oxide, outlining plate preparation, develop…