Showing 50 of 25456 papers

Crack Development in a Bent Zinc Plate under Local Application of a Liquid Surface-Active Metal (Mercury)

B. D. SUMM, Yu. V. GORYUNOV, N. V. PERTSOV, E. D. SHCHUKIN
1961 SovietRxiv: ru-196101.80264

This paper investigates crack initiation and growth in bent technical zinc plates under local application of small mercury droplets, as a case of strength loss caused by a liquid surface-active metal. Experiments measured crack length and growth kinetics for varying mercury mass, plate thickness, an…

On the $\beta$-decay of strongly deformed nuclei

V. G. SOLOV'EV
1961 SovietRxiv: ru-196101.80257

This paper examines beta decay in strongly deformed nuclei within the superconducting, or superfluid, nuclear model based on quasiparticle pairing correlations. It formulates general rules for calculating rearrangement corrections to beta-transition probabilities when the superconducting properties …

Alkylation of p-Dichlorobenzene, p-Chlorobromobenzene, and p-Dibromobenzene with Propylene in the Presence of Sulfuric Acid

Yu. G. MAMEDALIEV and R. S. ALIMARDANOV
1961 SovietRxiv: ru-196101.80164

This study examines the alkylation of para-dichlorobenzene, para-chlorobromobenzene, and para-dibromobenzene with propylene in the presence of sulfuric acid, focusing on orientation and substituent effects in para-disubstituted benzene rings. The authors compare reaction conditions and yields for mo…

On the application of infrared spectra in the region of $\mathrm{CH}$ stretching vibrations to the determination of the structure of alkanes, aromatic hydrocarbons, and compounds containing heteroatoms

Yu. P. EGOROV and E. D. LUBUZH
1961 SovietRxiv: ru-196101.80154

This study examines the use of infrared absorption in the C-H stretching region, 2800 to 3000 cm-1, for determining the numbers of methyl and methylene groups in alkanes and in hydrocarbons or derivatives containing aromatic rings, silicon, oxygen, carbonyl groups, or halogens. Spectra of dilute car…

Approximation by Piecewise Polynomial Functions

Yu. A. Brudnyi and I. E. Gopengauz
1961 SovietRxiv: ru-196101.79819

The paper studies how smoothness classes defined by moduli of smoothness can be characterized through local piecewise-polynomial approximation, addressing gaps between direct and inverse theorems for global algebraic or trigonometric approximation. It constructs linear local interpolation processes …

On the General Form of a Functional in the Space of Functions Analytic in a Semicircular Domain

L. I. RONKIN
1961 SovietRxiv: ru-196101.79803

This note characterizes continuous linear functionals on the space of functions analytic in a complete semicircular domain in two complex variables. Using Hartogs expansions and a reduction to finitely many bicylinders, it shows that any such functional can be represented as a series of contour inte…

NONSTATIONARY PROPAGATION OF WAVES IN AN INHOMOGENEOUS MEDIUM DURING THE FORMATION OF A REGION OF GEOMETRICAL SHADOW

Unknown
1961 SovietRxiv: ru-196101.79799

The paper studies nonstationary wave propagation in an inhomogeneous half-space with depth-dependent velocity, focusing on the formation of a geometrical shadow region and the behavior of the sliding wave front. Using the method of separating the nonanalytic part, the solution is represented by inte…

Hydrazine Formation under the Action of $\gamma$-Radiation on Ammonia in the Liquid and Solid States

Unknown
1961 SovietRxiv: ru-196101.79692

This study examines how the phase state of ammonia affects hydrazine formation under cobalt-60 gamma irradiation, with particular attention to differences between liquid and solid ammonia at nearby temperatures. Hydrazine yields were measured colorimetrically over varied temperatures, doses, and rad…

Study of the Autoxidation of Alkyl and Halogen Derivatives of 1,1-Diphenylethane and Isopropylbenzene

G. I. YURZHENKO and M. A. DIKII
1961 SovietRxiv: ru-196101.79580

This study examines the liquid phase autoxidation of alkyl and halogen derivatives of 1,1-diphenylethane and isopropylbenzene, with attention to how aryl, alkyl, and halogen substituents affect hydroperoxide formation. The authors synthesized and purified selected hydrocarbons and para-substituted d…

Investigation of the nature of the chemical compound in the $\mathrm{Ti}$ – $\mathrm{Si}$ system

R. B. GOLUBTSOVA
1961 SovietRxiv: ru-196101.79455

This study examines the intermetallic compound formed in titanium silicon alloys containing 0.25 to 7.5 wt.% silicon, with the aim of isolating and identifying titanium silicide phases in low silicon titanium alloys. The work uses anodic dissolution in methanol based sulfuric acid electrolytes conta…

On Indexials of Finite Groups

Unknown
1961 SovietRxiv: ru-196101.79236

This paper develops the method of indexials for studying subgroups of finite groups, extending earlier existence theorems in this area. It introduces regular indexials, extensions of indexials, and a measure of solvability, then relates these notions to the structure and solvability measure of corre…

Reactions of fluoroolefins. Interaction of fluoroolefins with hydrogen sulfide

A. V. FOKIN, A. A. SKLADNEV, and I. L. KNUNYANTS
1961 SovietRxiv: ru-196101.79235

This study examines the addition of hydrogen sulfide to fluoroolefins, motivated by the expected radical reactivity of electron-deficient fluorinated double bonds. Tetrafluoroethylene and trifluorochloroethylene were reacted with hydrogen sulfide under ultraviolet irradiation, with acetone as sensit…

On Chebyshev Sets in Banach Spaces

Unknown
1961 SovietRxiv: ru-196101.79180

This note studies Chebyshev sets in Banach spaces, focusing on when uniqueness of nearest points implies stronger geometric structure. Using a fixed point argument based on Schauder’s principle, it proves that every boundedly compact Chebyshev set in an arbitrary Banach space is a sun. It then shows…

ON THE VELOCITY AND ENERGY OF THE TUNGUSKA METEORITE

Unknown
1961 SovietRxiv: ru-196101.79145

The paper estimates the velocity, mass, and energy of the Tunguska body by comparing meteor-physics trajectory calculations with inferred blast destruction energy of about 10^23 ergs. It argues that the initial mass likely lay near 10^6 to 10^7 tons, with a probable final velocity near 30 km/s and f…

On the Crystallization of Cellulose Tribenzoate

P. V. Kozlov, O. P. Kozmina, Wang Nai-chan,
1961 SovietRxiv: ru-196101.79045

This study examines whether cellulose tribenzoate, unlike cellulose in the condensed phase, can satisfy the structural and mobility conditions required for polymer crystallization. High molecular cellulose tribenzoate was synthesized by benzoylation of purified cotton linters, characterized chemical…

Decomposition of diphenylmercury in cyclohexane and cyclohexene

Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, G. G. PETUKHOV,
1961 SovietRxiv: ru-196101.78882

The study examines the photochemical and thermal decomposition of diphenylmercury in the nonaromatic solvents cyclohexane and cyclohexene, comparing the products formed under vacuum and in air. Product analysis by infrared spectroscopy and isotope dilution, including experiments with carbon 14 label…

The algebra of potential-pulse objects

A. D. TALANTSEV
1961 SovietRxiv: ru-196101.78815

The paper develops an algebraic framework for potential-pulse objects, understood as two-state logical objects whose time behavior includes stable potentials, impulses, and transitions. It defines a six-symbol alphabet for potential-pulse logical variables, formulates local temporal rules, and intro…

Preliminary Results of a Study of Solar X-ray Emission Using Rockets and Spacecraft

B. N. VASIL’EV, Yu. K. VORON’KO, S. L. MANDEL’SHTAM,
1961 SovietRxiv: ru-196101.78697

This paper reports preliminary measurements of solar X-radiation at wavelengths shorter than 10 angstrom using instruments flown on geophysical rockets in 1959 and on the second and third Soviet spacecraft in 1960. Geiger photon counters with mica or beryllium windows, control counters, magnetic shi…

Investigation of the structure of complexes of organolithium compounds with simple ethers by infrared spectroscopy

A. N. Rodionov, T. V. Talalaeva, D. N. Shigorin
1961 SovietRxiv: ru-196101.78635

This study examines the structure of complexes formed between organolithium compounds and simple ethers using infrared absorption spectroscopy in the 2000 to 650 cm-1 region. By comparing spectra of several aliphatic and aromatic organolithium compounds in different ethers, the authors assign charac…

On the Phase Diagram of the Aluminum–Boron System

Unknown
1961 SovietRxiv: ru-196101.78557

This study reexamines the aluminum-boron phase diagram, addressing contradictions in earlier reports on eutectic behavior, peritectic reactions, and the stability of aluminum boride phases. Alloys prepared from high-purity aluminum and boron were investigated by high-temperature contactless thermal …

Metal dialkyldithiophosphate-type antioxidants

P. I. SANIN, V. V. SHER, L. F. CHERNYAVSKAYA, and N. V. MELENT’EVA
1961 SovietRxiv: ru-196101.78534

This study examines metal dialkyldithiophosphates as antioxidant additives for hydrocarbons in lubricating oils, comparing barium and zinc salts with varied alkyl radical structures. The authors synthesized several additives and evaluated their effect on oxidation of paraffin-naphthenic hydrocarbons…

On New Extremal Problems

Unknown
1961 SovietRxiv: ru-196101.78382

The paper formulates new minimax extremal problems motivated by mathematical cartography, where one seeks boundary or initial conditions for partial differential equations that make a selected unknown function deviate as little as possible from zero in a prescribed domain. After contrasting variatio…

Extremal Problems in the Theory of Polynomial Operators

D. L. BERMAN
1961 SovietRxiv: ru-196101.78285

This note studies extremal norm problems for linear polynomial operators on the space of continuous periodic functions, especially operators that reproduce derivatives or prescribed convolutions on trigonometric polynomials of bounded order. It determines the exact minimal norm for operators reprodu…

A New Method for the Synthesis of Oxyarylphosphinic Acids

V. K. KUSKOV and G. F. BEBIKH
1961 SovietRxiv: ru-196101.78271

A method is described for preparing oxyarylphosphinic acids by phosphorylating phenyl and cresyl esters of silicic or boric acid with phosphorus pentasulfide, followed by hydrolysis. The approach is presented as an alternative to substitution routes from amino, halo, or methoxy arylphosphinic acids,…

Separatrices of Planar Dynamical Systems

Unknown
1961 SovietRxiv: ru-196101.78113

This note studies separatrices of plane dynamical systems with continuous right hand sides, uniqueness of solutions, and isolated finite singular points, using the one point compactification of the plane. It reformulates Markus’s notion of a separatrix in terms of nonordinary semitrajectories, orbit…

On the Features of Light Absorption in Inhomogeneous Plasma

Unknown
1961 SovietRxiv: ru-196101.78088

This paper generalizes spectral line growth curves from homogeneous absorbing layers to inhomogeneous high-temperature plasmas described by the Bartels and Cowan-Dieke source models. It formulates reabsorption and deviation functions for Voigt line profiles, presents numerical values for the Cowan-D…

On the Triple Spontaneous Fission of Curium-242

Unknown
1961 SovietRxiv: ru-196101.78047

This paper investigates spontaneous triple fission of curium-242, specifically events accompanied by emission of a long-range alpha particle, and compares the phenomenon with previously studied neutron-induced fission of uranium and plutonium isotopes. The authors used a photographic-plate method wi…

On the Number of Prime Bases of Boolean Functions

Unknown
1961 SovietRxiv: ru-196101.77976

This paper studies bases of Boolean functions under Post’s completeness criterion, focusing on “simple bases,” in which no member can be replaced after identification of variables by functions of fewer variables while preserving completeness. It first observes that the total number of bases is infin…

Radiation Method for the Synthesis of New Derivatives of Heterocyclic Compounds

S. A. SAFAROV, M. A. PROSKURNIN, and B. F. BOGATIKOV
1961 SovietRxiv: ru-196101.77875

This paper investigates the radiation chemical synthesis of new heterocyclic derivatives in dilute aqueous systems, focusing on thiophene and furan under cobalt 60 gamma irradiation. The authors irradiate nitrogen purged thiophene water and furan water mixtures, measure precipitate formation, hydrog…

On the Effect of Gamma Radiation on Aqueous Solutions of Thiophene

S. A. SAFAROV, A. I. CHERNOVA, and M. A. PROSKURNIN
1961 SovietRxiv: ru-196101.77671

This study examines the gamma radiolysis of oxygen-saturated aqueous thiophene solutions as a possible route to oxythiophene compounds that are difficult to obtain by conventional oxidation. Using colorimetric coupling reactions and ultraviolet spectrophotometry, the authors identify thienol as a pr…

Determination of Relative Adsorption Coefficients by the Isotope Dilution Method

G. V. ISAGULYANTS, A. A. BALANDIN, and E. I. POPOV
1961 SovietRxiv: ru-196101.77637

This paper examines the determination of relative adsorption coefficients for mixtures by applying an isotope dilution method to ethyl alcohol and ether adsorbed on active aluminum oxide. In flow experiments at 120 degrees C, mixtures containing carbon 14 labeled components were passed over the cata…

Preparation of 2,2-disubstituted 1-aminoindan-3-ones

Unknown
1961 SovietRxiv: ru-196101.77541

This paper addresses the synthesis of previously undescribed 1-aminoindanone-3 derivatives, focusing on compounds expected to be more stable when disubstituted at the 2 position. The authors reduce hydrochlorides of 2,2-disubstituted 1-iminoindanones-3 with zinc in acetic acid to obtain 1-amino-2-me…

Cross section of the $(n,2n)$ reaction on $\mathrm{C}^{12}$, $\mathrm{N}^{14}$, $\mathrm{O}^{16}$, and $\mathrm{F}^{19}$ in the energy range 10–37 MeV

Unknown
1961 SovietRxiv: ru-196101.77502

This paper reports measurements of neutron induced two neutron emission cross sections for carbon 12, nitrogen 14, oxygen 16, and fluorine 19 in the approximate energy range 10 to 35 MeV, motivated by the limited data for light nuclei and their use as threshold neutron detectors. Neutrons were produ…

Unitary pairs of operators and their analytic characteristic in the space $L_2(a,b)$

Academician of the Academy of Sciences of the Armenian SSR M. M. DZHRBASHYAN
1961 SovietRxiv: ru-196101.77388

The paper introduces the notion of a unitary pair of bounded linear operators in a Hilbert space as a generalization of a unitary operator, characterized by relations involving one operator, its adjoint, and a completing second operator. It establishes elementary structural properties of such pairs,…

On Some Algorithms for Solving the Complete Eigenvalue Problem

V. N. Kublanovskaya
1961 SovietRxiv: ru-196101.77175

This paper presents several iterative algorithms for the complete eigenvalue problem for real nonsingular matrices with eigenvalues of distinct moduli. The methods construct sequences of triangular matrices by multiplying auxiliary matrices by orthogonal transformations, yielding convergence estimat…

Synthesis of Mixed Pincer Cyclopentadienyl Zirconium Compounds

Corresponding Member of the Academy of Sciences of the USSR R. Kh. FREIDLINA, E. M. BRAJNINA,
1961 SovietRxiv: ru-196101.77088

This paper describes the synthesis of mixed chelate-like cyclopentadienyl compounds of zirconium, a class not previously reported for zirconium compounds containing a single cyclopentadienyl group together with chelating ligands. The authors prepare monochloro diacetylacetonatocyclopentadienylzircon…

Thermodynamic Properties of Cerium Oxides

F. A. KUZNETSOV, V. I. BELYI, T. N. REZUKHINA
1961 SovietRxiv: ru-196101.77011

The study determines thermodynamic properties of cerium oxides across the composition range CeO2 to CeO1.5 in order to characterize the cerium oxygen system more completely. Electromotive force measurements with a solid electrolyte were combined with hydrogen reduction equilibrium measurements to ca…

BEHAVIOR OF UNPERTURBED SYSTEMS IN INERTIAL SPACE

Unknown
1961 SovietRxiv: ru-196101.76984

This paper analyzes the error behavior of a three-dimensional inertial navigation system using three accelerometers on a gyroscopic stabilizer and three channels for autocompensation of gravitational acceleration. It derives the system equations in an inertial ecliptic coordinate frame, linearizes t…

On the Order of Lithium Addition to Diphenyl

E. P. KAPLAN, Z. I. KAZAKOVA, and A. D. PETROV
1961 SovietRxiv: ru-196101.76936

The study examines the position at which lithium adds to biphenyl, a question relevant to assigning structures of alkylated dihydrobiphenyl derivatives obtained from dilithium dihydrobiphenyl. Two experimental approaches were tested: oxidation of dihydrobiphenyl with selenium dioxide and reaction of…