Showing 50 of 25456 papers

ABUNDANCE OF THE ELEMENTS

H. E. Suess, H. C. Urey
1957 SovietRxiv: ru-195701.22534

Independently of any theory of the origin of the universe, one may attempt to find indications of the nature of the last nuclear reaction that occurred immediately before the final establishment of the abundance distribution observed at the present time. Going back into the past, one may try to dete…

METHOD FOR THE DISTRIBUTION OF SPECIFIC SURFACE AREA FROM GAS ADSORPTION IN THE MONOMOLECULAR REGION

Unknown
1957 SovietRxiv: ru-195701.22459

This paper proposes a method for determining the specific surface area of adsorbents from gas adsorption measurements in the monomolecular region, where conventional B.E.T. and Harkins and Jura methods may be unreliable for finely porous materials. Nitrogen adsorption at 77.4 K on silica gel and alu…

On the Existence of the Higher Oxide $\mathrm{CO}_3$

R. B. TAGIROV and I. P. SHEVCHUK
1957 SovietRxiv: ru-195701.22428

This paper investigates whether the hypothetical higher oxide CO3 is formed during carbon monoxide combustion in oxygen, a question relevant to proposed mechanisms of dry CO oxidation. Using infrared emission spectroscopy of a CO diffusion flame with dried gases and controlled oxygen, nitrogen, and …

THE MECHANISM OF SORPTION OF DIPOLAR IONS BY ION EXCHANGERS

Unknown
1957 SovietRxiv: ru-195701.21913

This study examines how dipolar ions, represented by amino acids and peptides, are sorbed by ion-exchange resins, emphasizing that their simultaneous positive and negative charges produce behavior different from that of ordinary ions. Dynamic sorption experiments with sulfonic and carboxylic resins …

THE CURVATURE TENSOR AND SOME TYPES OF SPACES OF A SYMMETRIC ALMOST SYMPLECTIC CONNECTION

B_{ij,kl}+B_{ji,kl}=0,
1957 SovietRxiv: ru-195701.21903

This paper studies the curvature tensor of spaces with a symmetric almost symplectic connection and derives additional identities specific to this setting. It characterizes spaces whose holonomy algebra elements associated with elementary cycles lie in the symplectic algebra, showing their equivalen…

On Lanthanum Sulfides

Unknown
1957 SovietRxiv: ru-195701.21844

This study examines the preparation and properties of lanthanum sulfides, motivated by contradictory reports on lanthanum sesquisulfide and by analogy with lower cerium sulfides. Lanthanum sesquisulfide was produced from lanthanum chloride by sulfidation with dry hydrogen sulfide, then heated in hig…

ON THE REPRESENTATION OF NUMBERS IN THE FORM OF THE SUM OF A PRIME NUMBER AND A POWER OF A GIVEN INTEGER

n=p+a^i,
1957 SovietRxiv: ru-195701.21760

This paper studies representations of natural numbers in the form n equals p plus a power of a fixed integer a, where p is prime and the exponent is nonnegative. Using a counting function for such representations and Romanov’s identity relating its second moment to prime differences and differences …

On the Structure of Organochromium Compounds

=========
1957 SovietRxiv: ru-195701.21732

This paper examines the structural interpretation of organochromium compounds obtained from reactions of phenylmagnesium bromide with chromic chloride, particularly whether Hein’s polyphenylchromium derivatives are better described as di, pi arene chromium salts. The authors assess earlier reduction…

On the Estimation of the Dimension of the Space of Automorphic Forms for Certain Types of Discrete Groups

Unknown
1957 SovietRxiv: ru-195701.21594

This note establishes a general dimension estimate for spaces of automorphic forms associated with certain discrete groups acting on bounded domains in several complex variables. It introduces Siegel domains of the first and second kinds, describes their relation to irreducible bounded symmetric dom…

Action of Inorganic Acid Chlorides on Arylsulfonic Acids. A General Method for Preparing Anhydrides by the Reaction of Arylsulfonic Acids with $\mathrm{P}_2\mathrm{O}_5$

Unknown
1957 SovietRxiv: ru-195701.21541

This paper examines the formation of arylsulfonic acid anhydrides during reactions of arylsulfonic acids and their sodium salts with inorganic acid chlorides, including phosphorus pentachloride, phosphorus oxychloride, phosphorus trichloride, thionyl chloride, and chlorosulfonic acid. Experimental c…

Synthesis of Some Alkylhalosilanes and Silicon Hydrocarbons

Table 1
1957 SovietRxiv: ru-195701.21509

This study examines the addition of trichlorosilane, tribromosilane, and methyldichlorosilane to selected olefinic hydrocarbons containing terminal or branched double bonds, using benzoyl peroxide as initiator. Reactions with 1-nonene and 1-decene gave alkyltrihalosilanes in comparatively high yield…

Measurement of Electric Current in the Ocean

Unknown
1957 SovietRxiv: ru-195701.21422

This paper reports reconnaissance measurements of natural electric currents in the Indian Ocean and adjacent Antarctic waters during the 1955 to 1956 Antarctic expedition aboard the Ob’. Using lead electrodes deployed along horizontal and vertical baselines, the study determined potential gradients,…

Preparation of Compounds with Silthianocarbon Units

It seemed of interest to us to synthesize compounds with silthianocarbon chain units
1957 SovietRxiv: ru-195701.21002

This paper reports the synthesis of organosilicon compounds containing silthianocarbon chain units, intended for comparison with previously described siloxanocarbon and silazanocarbon analogues. Pentaalkyl bromodisilanylmethanes were treated with hydrogen sulfide in the presence of pyridine, or with…

On the summation of functions of the classes $B^{(r)}$

Unknown
1957 SovietRxiv: ru-195701.20983

The paper studies summation of analytic functions in the classes defined by bounded higher derivatives in the unit disk, extending earlier results of Stechkin on Taylor sums and Fejér means. It proves a representation theorem for a broad class of regular triangular Toeplitz summation methods, using …

On the Relationship Between Ordinary and Isotopic Spaces

G. A. SOKOLIK
1957 SovietRxiv: ru-195701.20946

This paper develops a group-theoretical apparatus for relating ordinary Minkowski space to isotopic space by treating isotopic spin and charge-group invariants as internal degrees of freedom in generalized first-order wave equations. It classifies equations invariant under rotations, reflections, an…

Adsorption of Water on Quartz Crushed in Vacuum

Unknown
1957 SovietRxiv: ru-195701.20755

This paper examines water adsorption on low-temperature alpha quartz surfaces produced by crushing rock crystal under high vacuum, a method intended to create silica surfaces free of hydroxyl groups without high-temperature calcination. Adsorption isotherms measured volumetrically at 18 degrees are …

Hydrogenation of Vinylcyclopropane and 1-Methyl-1-isohexenylcyclopropane in the Presence of Platinum and Palladium

B. A. KAZANSKII, M. Yu. LUKINA, and L. G. SAL’NIKOVA
1957 SovietRxiv: ru-195701.20681

This study examines catalytic hydrogenation of vinylcyclopropane and 1-methyl-1-isohexenylcyclopropane to assess how the position of a side-chain double bond affects cleavage of the cyclopropane ring. Hydrogenation experiments with palladium black, platinum black, copper-chromium catalyst, and plati…

On a Method for Calculating Quantum Distribution Functions

Unknown
1957 SovietRxiv: ru-195701.20551

This paper develops a field-theoretic method for computing equilibrium quantum distribution functions for a one-component nonrelativistic Bose gas with pair interactions. The generating functional of the distribution functions is transformed by a Gaussian auxiliary field, reducing the interacting pr…

On One General Basis Criterion

M. A. EVGRAFOV and A. D. SOLOV’EV
1957 SovietRxiv: ru-195701.20530

This paper establishes criteria under which systems of analytic functions of the form \(z^n\varphi_n(z)\) constitute a basis for holomorphic functions in a disk or related simply connected domain. The authors express the factors through analytic logarithms, derive coefficient recursions for formal e…

Possible Influence of Supernova Explosions on the Evolution of Life on Earth

V. I. Krasovskii and I. S. Shklovskii
1957 SovietRxiv: ru-195701.20496

This paper examines whether nearby supernova explosions could have significantly altered the cosmic ray environment of Earth and thereby influenced biological evolution. Using radio astronomical evidence for relativistic particles in supernova remnants, the authors estimate that the Solar System may…

On the Enthalpy of Polymerization of Cyclic Formals

S. M. SKURATOV, A. A. STREPICHEEV, S. M. SHTEHER, and A. V. VOLOKHINA
1957 SovietRxiv: ru-195701.20151

This paper examines the thermodynamic basis for differences in the polymerization behavior of cyclic formals with five to eight ring members. The authors determine heats of combustion for ethylene, trimethylene, tetramethylene, and pentamethylene formals, use estimated heats of vaporization to refer…

Equation of Nonstationary Diffusion to a Stationary Electrode

A. V. GORODYSKII and Academician of the Academy of Sciences of the Ukrainian SSR Yu. K. DELIMARSKII
1957 SovietRxiv: ru-195701.20136

This paper reconsiders the equation for nonstationary diffusion to a stationary electrode, noting that the usual Cottrell-type boundary conditions do not account for convection and therefore fail to describe the experimentally observed approach to a constant limiting current. The authors introduce a…

Dirichlet Problem for a Disk

Ya. S. BUGROV
1957 SovietRxiv: ru-195701.20000

This paper studies the Dirichlet problem for polyharmonic functions in the unit disk and relates the smoothness of the solution to the smoothness of the prescribed boundary values and their normal derivatives. It proves a theorem asserting that if the boundary functions belong to suitable Nikol’skii…

On New Sufficient Conditions for the Stability, Semistability, and Instability of a Limit Cycle of the Equation $\frac{dy}{dx}=\frac{P(x,y)}{Q(x,y)}$

Unknown
1957 SovietRxiv: ru-195701.19935

This paper derives analytic sufficient conditions for stability, semistability, and instability of a limit cycle of the differential equation dy/dx = P(x,y)/Q(x,y), assuming sufficient smoothness of P and Q. By introducing normal coordinates near a closed integral curve and studying the displacement…

On the Influence of Adsorption Layers on Graphite Dispersion

Unknown
1957 SovietRxiv: ru-195701.19848

This study examines how adsorbed surface layers affect the vibrational grinding and dispersion of graphite, a layered hydrophobic solid capable of reaching very high specific surface areas. Using low-temperature nitrogen adsorption, X-ray diffraction, and electron microscopy, the authors relate grap…

Thermal telomerization of trichlorosilane with ethylene

A. N. NESMEYANOV, R. Kh. FREIDLINA, and E. Ts. CHUKOVSKAYA
1957 SovietRxiv: ru-195701.19779

This paper reports the thermal telomerization of trichlorosilane with ethylene as an extension of earlier work on hydrosilane addition and telomerization reactions. Trichlorosilane and ethylene were reacted in a steel autoclave at 270 to 285 degrees C and up to 200 atm, and the products were separat…

Adsorption of Water Vapor on Silica Gels with Different Degrees of Hydration

M. M. EGOROV, T. S. EGOROVA, V. F. KISELEV, and K. G. KRASILNIKOV
1957 SovietRxiv: ru-195701.19614

This study examines how the degree of surface hydration affects adsorption of water vapor on several silica gels, including purified technical samples and silica gel calcined at different temperatures. Water vapor adsorption and desorption isotherms were measured with quartz spring balances, while s…

Electron spin resonance in some sandwich type chromaromatic compounds

Yu. D. Tsvetkov, V. V. Voevodskii, G. A. Razuvaev,
1957 SovietRxiv: ru-195701.19547

This paper reports electron paramagnetic resonance measurements on several chromium aromatic sandwich compounds whose magnetic susceptibilities indicate one unpaired electron. Using a superheterodyne EPR apparatus at about 9000 MHz, the authors measured spectra, g factors, and line widths for polycr…

Turbulent Viscosity in a Shallow Sea Induced by Waves

Unknown
1957 SovietRxiv: ru-195701.19482

This paper derives an expression for the coefficient of turbulent momentum exchange produced by wave motion in shallow water. Starting from finite-depth wave theory, in which particle orbits are elliptical, it applies semi-empirical turbulence relations for mixing length and turbulent viscosity and …

Investigation of the A. E. Arbuzov rearrangement by thermography

B. A. ARBUZOV and A. V. FUZHENKOVA
1957 SovietRxiv: ru-195701.19436

This study examines the A. E. Arbuzov rearrangement of phosphorous acid esters with alkyl halides using thermographic analysis to detect heat effects associated with reaction stages. Thermograms of aromatic and aliphatic phosphite systems, including triphenyl, trimethyl, and triethyl phosphites with…

Film and Capillary-Retained Water in a Porous Medium

Unknown
1957 SovietRxiv: ru-195701.19408

This study examines whether properties of thin aqueous electrolyte films previously observed in single capillaries also apply to porous quartz sandstone, with relevance to bound water in gas-bearing and oil-bearing reservoirs. Residual water saturation was measured in Tuymazy sandstone cores after d…

Synthesis of the hexahydro-(3,4 : 3',4')-furofuran system – the main core of natural resinols

N. B. GALSTUKHOVA
1957 SovietRxiv: ru-195701.19245

This paper reports a synthetic route to the hexahydro-furofuran nucleus found in phenolic resinols, a class of lignan natural products that includes biologically active compounds such as sesamin. Isomeric dibenzoylsuccinic esters were reduced with lithium aluminum hydride to the corresponding tetrao…