Showing 50 of 25456 papers

Luminescence Spectra of Uranyl Nitrate Coordination Compounds

G. I. KOBYSHEV and D. N. SUGLOBOV
1958 SovietRxiv: ru-195801.16462

This study examines how coordination of addend molecules affects the low temperature photoluminescence spectra of uranyl nitrate. Anhydrous uranyl nitrate and a series of microcrystalline coordination compounds with water, ammonia, ethers, pyridine, alcohol, acetonitrile, nitro compounds, nitrogen d…

On a Special Case of the Riemann-Hilbert Problem

Unknown
1958 SovietRxiv: ru-195801.16302

The paper studies the homogeneous Riemann-Hilbert problem in a multiply connected domain in the special range of the index, where the usual dimension formula for the space of solutions can fail. By reducing the problem to a canonical boundary condition on circular domains and analyzing associated me…

Thermodynamic Properties of Copper-Palladium Alloys

The e.m.f. of the following galvanic cell was measured:
1958 SovietRxiv: ru-195801.16174

The study determines thermodynamic properties of copper-palladium alloys using electromotive-force measurements of cells with copper halide molten electrolytes over 600 to 760 degrees Celsius. From e.m.f. temperature dependences for several alloy compositions, the authors derived copper and palladiu…

On the Method of Chords Constructed from Chebyshev Nodes

I. M. Derendyaev
1958 SovietRxiv: ru-195801.16057

The paper develops a variant of the chord method in which interpolation nodes are chosen as the zeros of the quadratic Chebyshev polynomial, aiming to reduce interpolation remainders and improve convergence estimates. It first proves an error estimate for multivariable functions with bounded second …

Equilibrium distribution of deuterium during hydrogen exchange with liquid hydrogen chloride

Ya. M. Varshavsky, S. E. Vaisberg, and B. A. Trubitsyn
1958 SovietRxiv: ru-195801.16050

This study investigates equilibrium deuterium distribution in isotope exchange reactions involving liquid hydrogen chloride, with particular attention to systems containing water, benzene, and cyclopentane. Exchange experiments were performed in sealed liquid phase systems, often with aluminum chlor…

On Some Classes of Models

A. I. MAL'CEV
1958 SovietRxiv: ru-195801.15895

This paper gives structural characterizations of several classes of models and algebraic systems, building on earlier work on quasivarieties. It characterizes categories structurally equivalent to universally axiomatizable classes of models, analyzes quasifree and free closures via substructures, di…

Synthesis of Rutin

G. I. SAMOKHVALOV, M. K. SHAKHOVA, and N. A. PREOBRAZHENSKII
1958 SovietRxiv: ru-195801.15831

This paper describes a total synthesis of rutin, quercetin-3-rutinoside, a vitamin P active flavonoid whose preparation is complicated by the multiple hydroxyl groups of quercetin and the low reactivity of the 3-hydroxyl group. Quercetin was prepared by a modified Allan and Robinson route using benz…

Formation of the Gas Tail of Comets

D. O. Mokhnach
1958 SovietRxiv: ru-195801.15717

This paper develops a kinematic model for the formation of cometary gas tails from molecules emitted or produced in the comet head and accelerated by solar repulsive forces. It derives expressions for spatial and visible density under constant emission, showing that without ionization the stationary…

Spontaneous Fission of $\mathrm{Th}^{232}$ and the Stability of Nucleons

Corresponding Member of the Academy of Sciences of the USSR G. N. FLEROV, D. S. KLOCHKOV,
1958 SovietRxiv: ru-195801.15306

This paper investigates the spontaneous fission of thorium-232 as a means of constraining the stability of bound nucleons against decay into lighter particles. The authors developed a higher-sensitivity rare-event detection method using large proportional counters coated with purified thorium oxide,…

On the Relationship Between the Number of Sign Changes of a Solution to an Elliptic Equation and the Growth of the Solution

E. M. LANDIS
1958 SovietRxiv: ru-195801.14998

This paper studies solutions of second order uniformly elliptic linear equations in a spherical layer, with bounded sufficiently smooth coefficients and nonpositive zeroth order term. It defines the number of sign changes as the number of essential connected components of the positive and negative s…

On Riemann Waves in Magnetohydrodynamics

A. G. KULIKOVSKII
1958 SovietRxiv: ru-195801.14832

This paper studies Riemann waves in ideal magnetohydrodynamics for an arbitrary orientation of the magnetic field relative to a plane wave front, extending earlier treatments restricted to parallel fields. Starting from the isentropic equations for a perfectly conducting gas, it derives characterist…

Triclinic Modification of Polytene

A. I. Kitaigorodskii, Yu. V. Mnyukh
1958 SovietRxiv: ru-195801.14795

This paper investigates the predicted triclinic modification of polyethylene, motivated by packing theory for long-chain paraffin-type molecules and by the small free-energy difference between orthorhombic and triclinic arrangements. Structurally well-formed polyethylene samples prepared by several …

Method of Lines for Solving a Nonlinear Boundary Value Problem in a Domain with a Curvilinear Boundary

Unknown
1958 SovietRxiv: ru-195801.14790

This paper studies a nonlinear boundary value problem for the equation \(u_{xy}=f(x,y,u,u_x,u_y)\) in a bounded domain with a curvilinear boundary, with data prescribed on \(y=g(x)\) and on \(x=0\). The authors construct a method of lines approximation by replacing the solution on vertical lines wit…

On the Problem of Thermal Conductivity of Porous Materials

G. M. SERYKH
1958 SovietRxiv: ru-195801.14507

This paper examines the effective thermal conductivity of dry porous building and insulating materials, with attention to pore size, pore geometry, and the combined roles of conduction, radiation, and convection. After reviewing and criticizing existing analytical models by Maxwell, Russell, Eucken,…

On the Stability of Cylindrical Shells under Dynamic Loading

Unknown
1958 SovietRxiv: ru-195801.14442

This paper analyzes the dynamic stability and snap-through of thin cylindrical shell panels with initial imperfections under rapidly applied compressive loading along the generatrix. Using large-deflection shell equations with transverse inertia, a sinusoidal approximation for the deflected surface,…

Quasi-Steady Heating of a Plate in the Presence of Additional Walls

G. P. BOIKOV, N. N. NEGODYAEVA, G. V. NIKOLAEVA
1958 SovietRxiv: ru-195801.14396

This paper examines quasi-steady heating of a plate when electric heaters act through thin additional walls, a configuration needed especially for metal specimens and relevant to experimental determination of thermophysical properties. The authors formulate the one-dimensional heat conduction proble…

ON A NONLINEAR THEORY OF ELEMENTARY PARTICLES

Unknown
1958 SovietRxiv: ru-195801.14335

Ivanenko and Brodsky formulate a nonlinear generalization of the Dirac equation for a quantized spinor field, using four-fermion invariants motivated by a universal Fermi interaction and a single world spinor. By imposing anticommutation relations and invariance under Lorentz, Pauli, isotopic, and r…

On the Cooling Rate and Layer Structure in Spray Metallization

A. F. Krupin, G. P. Boikov
1958 SovietRxiv: ru-195801.14285

This paper estimates the cooling rate of steel particles after impact during electric spray metallization and relates it to the expected structure of the deposited layer. Treating the deformed particle as an infinite thin plate, the authors calculate transient cooling from radiation, convection, and…

The Undecidability of the Homeomorphism Problem

A. MARKOV
1958 SovietRxiv: ru-195801.14181

The paper proves undecidability results for recognizing homeomorphism and homotopy equivalence among polyhedra and manifolds. It defines the homeomorphy problem in algorithmic terms using combinatorial triangulations, then constructs 4-dimensional manifolds associated with finite group presentations…

ON THE COMPOSITION AND PARTITIONS OF NONPRIMITIVE CIRCUITS

Unknown
1958 SovietRxiv: ru-195801.14146

The paper develops a formal treatment of how nonprimitive switching circuits can be composed from smaller circuits and decomposed into subcircuits, using simple state, input, and output vectors together with state and reaction matrices. It derives general formulas for the state and reaction matrices…

Self-Similar Problems of Dynamic Bending of Plates

Yu. A. Dem’yanov
1958 SovietRxiv: ru-195801.14045

This paper formulates a class of self-similar solutions for dynamic bending problems of plates governed by the general plate bending equation with moments depending on curvatures. By introducing similarity variables proportional to spatial coordinates divided by the square root of time, the governin…

Radio interference phenomena caused by the lunar ionosphere

Unknown
1958 SovietRxiv: ru-195801.13942

This paper analyzes radio interference effects that may arise during solar eclipses when solar radio waves reach an observer both directly and after refraction in the lunar ionosphere. Using a geometrical model analogous to Lloyd’s interferometer, it estimates path differences, derives expressions f…

Study of the Vapor Pressure of Some Thallium Compounds

M. G. Shakhtakhtinskii and A. A. Kuliev
1958 SovietRxiv: ru-195801.13870

This paper reports Knudsen effusion measurements of the saturated vapor pressures of thallium sulfide and thallium oxide compounds relevant to the preparation of thallium sulfide photocells, for which thermodynamic data were lacking. The authors synthesized Tl2S and Tl2O3, used radioactive indicator…

Reactions of ferrocenesulfonic acids

Academician A. N. NESMEYANOV, E. G. PEREVALOVA, S. S. CHURANOV
1958 SovietRxiv: ru-195801.13862

This study examines reactions of ferrocene mono- and disulfonic acids, focusing on preparation of sulfur-containing derivatives and attempted replacement of the sulfo group. Lead salts were treated with phosphorus chlorides to form mono- and dichloroanhydrides, sulfochlorides were converted to amide…

On the Photographic Activity of Gelatin

K. V. CHIBISOV
1958 SovietRxiv: ru-195801.13705

This paper examines the chemical basis of gelatin’s photographic activity during emulsion ripening, focusing on impurity substances that bind silver ions and alter ripening kinetics. Using adsorption on selected ion-exchange resins and electrodialysis, the authors remove and separate active impuriti…

ON THE CHARACTERISTIC POLYNOMIALS OF RATIONAL SYMMETRIC MATRICES OF THE THIRD ORDER

The purpose of the present note is to prove the following theorem:
1958 SovietRxiv: ru-195801.13625

This note proves a criterion for an irreducible cubic polynomial with rational coefficients to occur as the characteristic polynomial of a rational symmetric matrix: it is necessary and sufficient that all roots be real. The argument reduces the problem, following earlier work, to the rational equiv…

Hydrogenation of Some Unsymmetrical Diarylethanes

A. V. TOPCHIEV and V. L. VAISER
1958 SovietRxiv: ru-195801.13593

This paper reports the catalytic hydrogenation of several unsymmetrical diarylethanes and related oxydiarylethanes previously obtained by acetylene alkylation of aromatic substrates. The compounds were hydrogenated at elevated temperature and pressure in an autoclave using nickel on kieselguhr, with…

The Role of Semiconductor Surface Properties in Adhesion Phenomena

V. P. Smilga and Corresponding Member of the USSR Academy of Sciences B. V. Deryagin
1958 SovietRxiv: ru-195801.13465

This paper examines how surface states in a semiconductor can affect the electrostatic component of adhesion at a metal, semiconductor contact. Using a phenomenological model with donor and acceptor surface levels, based on the Bardeen and Brattain scheme, the authors derive relations between contac…

Spontaneous Thinning of Thin Two-Sided Liquid Films

A. SHELUDKO
1958 SovietRxiv: ru-195801.13374

This paper investigates the spontaneous thinning of double-sided liquid films in the thickness range from 0.2 to 0.03 microns, using automatic interference microphotometry on aniline and aqueous films with minimal stabilizer concentrations. The author compares measured drainage rates with the Reynol…

Dynamic Characteristics of Electric Circuit Elements

K. M. POLIVANOV
1958 SovietRxiv: ru-195801.13207

The paper proposes a general way to characterize nonlinear electrical circuit elements under transient conditions, arguing that a single dynamic curve depends on the applied waveform and should be replaced by a characteristic surface in phase space involving variables and their derivatives. It discu…

On a Boundary Value Problem in Function Theory

B. V. Boyarsky
1958 SovietRxiv: ru-195801.12786

This paper studies a boundary value problem for pairs of holomorphic functions in a multiply connected plane domain, with boundary condition involving complex conjugation and a Hölder continuous coefficient of unit modulus. Using an adjoint homogeneous problem and singular integral equations with re…

Initiating Effect of Radon Radiation in the Oxidation of Isodecane (2,7-Dimethyloctane)

N. M. EMANUEL, E. A. BLYUMBERG, D. M. ZIV, and V. L. PIKAEV
1958 SovietRxiv: ru-195801.12758

This study examines the use of radioactive inert gases as initiators of liquid phase chain oxidation reactions, focusing on the oxidation of isodecane at 120°C under the action of radon radiation. Radon mixed with oxygen was passed through isodecane for a short initiation period, and the resulting r…