Showing 50 of 25456 papers

On the Thermodynamics of Phase Transformations in Binary Alloys

I. L. APTEKAR’ and D. S. KAMENETSKAYA
1962 SovietRxiv: ru-196201.33448

This paper analyzes phase transformations in binary alloys as the combined result of growth of a new phase and redistribution of components between coexisting phases. Using free energy expressions for a two-phase system, it derives equilibrium conditions for three limiting cases: diffusion-controlle…

On a Nonlinear Boundary Value Problem in the Theory of Analytic Functions Arising in Some Elastoplastic Problems

Unknown
1962 SovietRxiv: ru-196201.33365

The paper studies a nonlinear boundary-value problem for analytic functions in the upper half-plane, motivated by elastic-plastic problems, with boundary conditions prescribing either the modulus of the unknown function or a real linear relation on complementary parts of the real axis. It reduces th…

Crystal structure of hydroboracite $\mathrm{CaMgB}_6\mathrm{O}_{11}\cdot6\mathrm{H}_2\mathrm{O}= \mathrm{CaMg}[\mathrm{B}_3\mathrm{O}_4(\mathrm{OH})_3]_2\cdot3\mathrm{H}_2\mathrm{O}$

A. ASHIROV, I. M. RUMANOVA, N. V. BELOV
1962 SovietRxiv: ru-196201.33259

The paper determines the crystal structure of hydroboracite, a hydrated calcium magnesium borate, using X-ray diffraction data from Weissenberg photographs and analysis of systematic extinctions and intensity statistics. The structure was solved in the monoclinic space group P2/c by Patterson method…

On the application of a regularity established by Wiman and Valiron to the study of characteristic functions of probability laws

Unknown
1962 SovietRxiv: ru-196201.33041

This paper studies restrictions on entire functions whose exponentials can serve as characteristic functions of probability laws, motivated by a question of Yu. V. Linnik concerning transcendental entire functions of at most minimal type of order one. Using refined growth theory for entire functions…

Study of transformations of free radicals in $\gamma$-irradiated polyisoprenes

A. S. Kuz’minskii, M. B. Neiman, T. S. Fedoseeva,
1962 SovietRxiv: ru-196201.33029

This study examines free radicals formed during gamma irradiation of cis- and trans-polyisoprenes and their relation to polymer cross-linking. Using electron paramagnetic resonance, the authors characterize radical spectra under vacuum, air exposure, and low-temperature irradiation, and measure radi…

Application of an Electron-Optical Light Amplifier with a Fabry–Perot Etalon and a Monochromator for Temporal Spectrum Sweeps

G. M. Malyshev, G. T. Razdobarin, and L. V. Sokolova
1962 SovietRxiv: ru-196201.32913

The paper proposes a method for recording time sweeps of spectral line contours by combining an electron-optical light amplifier with a Fabry-Perot interferometer and a preliminary-dispersion monochromator. The authors argue that sweeping the image electronically across the amplifier screen avoids t…

Combustion of condensed mixtures with a nonvolatile and nondecomposing fuel at elevated pressures

A. F. BELYAEV, S. A. TSYGANOV
1962 SovietRxiv: ru-196201.32857

This study examines combustion at elevated nitrogen pressures in compacted mixtures of potassium perchlorate with nonvolatile, nondecomposing fuels, graphite and tungsten, where combustion can occur only through interaction between oxidizer decomposition products and fuel particle surfaces. Burning …

Vapor Pressure of Metallic Scandium

Unknown
1962 SovietRxiv: ru-196201.32830

This paper reports measurements of the saturated vapor pressure of metallic scandium, a quantity important for vacuum sublimation methods used to obtain high-purity scandium. The authors used an integral Knudsen effusion method with tantalum crucibles and quartz condensate receivers, determining con…

On a Generalized Cauchy Formula for Axisymmetric Vector Fields

I. I. DANILYUK
1962 SovietRxiv: ru-196201.32829

The paper studies a complex differential equation equivalent to the potentiality and incompressibility conditions for an axisymmetric vector field in cylindrical coordinates, with singular coefficients on the symmetry axis. It constructs unique kernels for a generalized Cauchy formula in the meridia…

Extraction of Technetium-99 from Aqueous Solutions by Quinoline, Tributyl Phosphate, and Some Other Organic Solvents

Unknown
1962 SovietRxiv: ru-196201.32805

This study examines the solvent extraction of technetium-99 from aqueous sodium pertechnetate solutions using quinoline, tributyl phosphate, acetone, acetylacetone, thenoyltrifluoroacetone, and several ion-association systems. Distribution coefficients were measured radiometrically under acidic, neu…

On the Ergodic Property of Nonhomogeneous Diffusion Processes

A. M. Ilyin and R. Z. Khasminskii
1962 SovietRxiv: ru-196201.32752

This note studies the long time behavior of nonhomogeneous diffusion processes in Euclidean space whose transition densities are Green’s functions for a pair of adjoint parabolic equations. Under a dissipativity condition on the coefficients, ensuring that the distribution does not spread to infinit…

On Computable Invariants

Unknown
1962 SovietRxiv: ru-196201.32645

The paper introduces the notion of computable invariants for equivalence relations on constructive objects and studies their limitations for words, associative calculi, inverse calculi, and higher-dimensional polyhedra. It defines transformation relations for associative and inverse calculi and prov…

Complex Compounds of Lower-Valent Indium. Synthesis and Study of the Properties of Indium Dihalide Ammines

{: style="text-align: right;"}
1962 SovietRxiv: ru-196201.32609

This study examines ammonia complexes of formally divalent indium dihalides, focusing on whether their behavior is better explained by ionic mono and trivalent indium species or by dimeric molecules containing an indium to indium bond. Indium dibromide and diiodide were reacted with dry ammonia unde…

Study of transference numbers in solid oxides

A. D. NEUIMIN and S. F. PAL’GUEV
1962 SovietRxiv: ru-196201.32475

This study examines charge transport in solid oxide electrolytes based on cerium dioxide with lanthanum, neodymium, and yttrium oxides, focusing on whether current is carried by cations, oxygen ions, or electronic carriers. The authors modified gravimetric electrolysis with reversible oxygen electro…

Determination of the Heat of Formation of Decaborane

G. L. Galchenko, B. I. Timofeev, S. M. Skuratov
1962 SovietRxiv: ru-196201.32341

This paper determines the standard heat of formation of crystalline decaborane, for which earlier literature values were uncertain, by calorimetric measurement of its thermal decomposition. Purified decaborane was pyrolyzed in a quartz vessel suspended in an isothermal-jacket calorimeter, with the e…

On Sliding Optimal Modes

Unknown
1962 SovietRxiv: ru-196201.32252

This note addresses time-optimal control problems in which Filippov’s existence condition may fail, so that an ordinary optimal control need not exist although minimizing trajectories may converge to a limiting motion. It introduces sliding optimal regimes as limits of rapidly switching admissible c…

ABRASIVE WEAR AND CAVITATION

Unknown
1962 SovietRxiv: ru-196201.32201

This study examines how cavitation influences abrasive wear on hydraulic machine surfaces, focusing on local grooved wear and wavy wear produced by sand laden water flowing past a circular cylinder. Experiments in a hydrodynamic tube used lead and composite specimens, controlled cavitation condition…

On the Theory of Curves in Projective Space of $n$ Dimensions

A. S. UPALOV
1962 SovietRxiv: ru-196201.32040

This paper develops a projective differential theory for curves in n-dimensional projective space by associating a curve with a central conical surface and a doubled fibered space. It constructs differential invariants of least possible order, affine connection objects, a natural frame, and Frenet-t…

Toward a General Theory of Linear Filters

N. S. LANDKOF
1962 SovietRxiv: ru-196201.32002

This paper develops a general theory of linear filters defined by convolution with a transition function, distinguishing stable filters from a broader class of weakly stable filters characterized by an energy condition for rectangular impulses. It formulates three problems concerning the realization…

On the principal directions of an $m$-dimensional surface

R. R. MULLARI
1962 SovietRxiv: ru-196201.31949

This paper studies principal directions of an m-dimensional surface in Euclidean space through the infinitesimal displacement of its tangent plane. It defines directions that are principal relative to a given tangent direction, derives their determining equations from the second fundamental form, an…

On the Significance of Cyclic Transition Complexes in the Mechanism of Organic Reactions

E. N. Rengevich, V. I. Staninets, Academician of the Academy of Sciences of the Ukrainian SSR E. A. Shilov
1962 SovietRxiv: ru-196201.31846

This study examines the role of cyclic transition complexes in iodination reactions of unsaturated compounds that proceed with intramolecular ring closure. Kinetic measurements in aqueous potassium iodide solutions show that free iodine is the active iodinating agent and that iodocyclization rates d…

Exact solution of the freezing problem with arbitrary temperature variation at a fixed boundary

I. G. PORTNOV
1962 SovietRxiv: ru-196201.31813

This paper studies a one-dimensional freezing, or Stefan, problem with a moving phase boundary and an arbitrary prescribed temperature at a fixed boundary. Using a change to coordinates attached to the moving front and the two-sided Laplace transform, it represents the temperature field by Poisson-t…

On Adsorption Peaks in Differential Capacitance Curves

Unknown
1962 SovietRxiv: ru-196201.31646

This paper analyzes adsorption peaks in differential capacitance curves of a mercury electrode in solutions containing organic adsorbates. Using the Frumkin adsorption isotherm, it derives expressions for the additional capacitance, peak position, peak width, and peak height as functions of coverage…

Effect of Strong Electric Fields on the Structure of Non-Aqueous Plastic Disperse Systems

Yu. F. Deinega and G. V. Vinogradov
1962 SovietRxiv: ru-196201.31566

This paper examines how strong electric fields affect the structure and rheological behavior of nonaqueous plastic disperse systems, using hydrated calcium grease and sodium soap-thickened lubricants as examples. The authors combine polarized-light microscopy with experiments in a plastoviscosimeter…

Asymptotic Computation of Periodic Solutions Close to Discontinuous Ones in Systems of Second-Order Differential Equations

N. Kh. ROZOV
1962 SovietRxiv: ru-196201.31347

This paper studies relaxation oscillations in singularly perturbed systems of two first-order differential equations, focusing on periodic solutions close to discontinuous limiting cycles composed of slow and fast motions. Building on earlier matched asymptotic constructions, it refines local expans…

On the Comparative Sorbability of Fourth-Period Transition Elements by Mineral Ion Exchangers

D. I. RYABCHIKOV, I. K. TSITOVICH, and M. K. TORPUDZHIYAN
1962 SovietRxiv: ru-196201.31247

This study compares the sorption of fourth-period transition-metal cations by a range of mineral ion exchangers, with chromatographic alumina used as a reference. Dynamic column experiments with sulfate solutions were used to measure uptake of chromium(III), iron(III), manganese(II), iron(II), cobal…

On the Theory of the Heat Capacity of Linear Polymers at Low Temperatures. Vibrational Spectrum and Heat Capacity

Yu. Ya. Gotlib and I. V. Sochava
1962 SovietRxiv: ru-196201.31140

This paper develops a molecular calculation of the low-temperature heat capacity of linear polymers, focusing on polyethylene and polytetrafluoroethylene. Treating each polymer chain as a one-dimensional crystal with a complex unit cell, the authors use the Born-Karman method and force constants der…

Vibrational spectra of perchloric acid in the liquid and gaseous states

S. A. Shchukarev, S. N. Andreev, and T. G. Balicheva
1962 SovietRxiv: ru-196201.31112

This study examines the OH stretching vibrations of perchloric acid in the gas phase, anhydrous liquid, and solid monohydrate in order to assess hydrogen bonding and related changes in the OH bond. Infrared spectra were measured with prism spectrometers, using purified anhydrous acid and prepared hy…

Photosemiconductor Properties of Acetylene Polymers

V. S. MYLNIKOV, A. M. SLADKOV, Yu. P. KUDRYAVTSEV, L. K. LUNEVA, V. V. KORSHAK and A. N. TERENIN
1962 SovietRxiv: ru-196201.31077

This paper investigates the internal photoelectric effect and photoconductive behavior of a series of synthesized acetylenic polymers, following earlier work on their semiconductor properties. Using direct-current photoconductivity measurements and a capacitor method under modulated illumination, th…

Investigation of self-oscillations in passivation-free systems using a solid electrode

A. Ya. Gokhshtein and A. N. Frumkin
1962 SovietRxiv: ru-196201.30928

This paper investigates periodic undamped current self-oscillations in nonpassivating electrolytic systems with a falling polarization characteristic, testing whether the theory previously developed for mercury electrodes also applies to solid electrodes. The authors replace surface tangential renew…

Aerosol Layer in the Upper Atmosphere

A. E. MIKIROV
1962 SovietRxiv: ru-196201.30890

Daytime sky brightness in the upper atmosphere is examined as a means of identifying aerosol scattering above the molecular atmosphere. Using rocket-borne photoelectric photometer measurements at different altitudes and wavelengths, the study derives aerosol optical thickness and scattering coeffici…

Spectroscopic Study of Thiophane and Thiophene Complexes with Tin Tetrachloride

I. P. Gol’dshtein, Z. F. Il’icheva, N. A. Slovokhotova,
1962 SovietRxiv: ru-196201.30883

This study uses infrared and electronic spectroscopy to examine the interaction of thiophane and thiophene with tin tetrachloride, comparing the nature of the complexes inferred previously from dielectrometric measurements. Shifts in the C,S vibration of thiophane indicate donor, acceptor coordinati…

On the Continuation of Functions

V. P. MIKHAILOV
1962 SovietRxiv: ru-196201.30648

This note studies extension of functions from anisotropic Sobolev spaces on a two-dimensional bounded convex domain to the whole plane, with preservation of an a priori norm estimate. For functions in \(W_{(x,y),2}^{(m,n)}(Q)\), with \(m<n\), satisfying vanishing boundary conditions in the \(x\) dir…

Study of the crystallization kinetics of calcium hydrosulfoaluminate

V. B. RATINOV, T. I. ROZENBERG, and N. M. RUBININA
1962 SovietRxiv: ru-196201.30523

This study examines the dependence of the crystallization rate of high-sulfate calcium hydrosulfoaluminate on supersaturation in unseeded solutions and estimates its free surface energy at the crystal, solution boundary. Two experimental series varied either calcium hydroxide or aluminum sulfate con…

Absorption Spectra and EPR Spectra of Positive Acene Ions Formed during Vacuum Adsorption

V. A. BARACHEVSKII, V. E. KHOLMOGOROV, E. I. KOTOV,
1962 SovietRxiv: ru-196201.30501

This study examines the formation and identification of positive radical ions of anthracene, perylene, and tetracene produced by vacuum adsorption of their vapors on oxide adsorbents, chiefly alumina silica gel. Diffuse reflection absorption spectra and electron paramagnetic resonance spectra were c…

Electron Microscopic Study of Crystalline Polyvinyl Chloride

D. P. Bort, A. G. Kronman, K. S. Minsker, B. P. Shtarkman
1962 SovietRxiv: ru-196201.30500

This study presents an electron microscopic examination of highly crystalline polyvinyl chloride prepared by free-radical polymerization in aldehyde solutions, with crystallinity assessed by electron diffraction. Films cast from cyclohexanone solutions were examined before and after heating at 80, 1…

Anodic Activation of Iron

V. D. KASHCHEEV, B. N. KABANOV, D. I. LEIKIS
1962 SovietRxiv: ru-196201.30496

This study examines whether anodic activation of previously passivated iron, known in alkaline media, also occurs in acid solutions and what this implies for the mechanism of passivation. Using electrolytic iron electrodes in sulfuric and perchloric acids, the authors recorded potentiostatic polariz…

On a Problem in Hydraulic Engineering

Unknown
1962 SovietRxiv: ru-196201.30466

This note studies a free-boundary mixed problem for two parabolic equations whose coefficients are discontinuous across an initially unknown moving interface, motivated by hydraulic engineering problems involving injection of binding liquids into porous rock. The problem, known as Verigin’s problem,…

Study of the Kinetic Regularities of Complex Chain Processes in Open Systems as a Method for Determining the Rates of Formation and Consumption of Intermediate Products

I. P. Skibida, Z. K. Maizus, N. M. Emanuel'
1962 SovietRxiv: ru-196201.30465

This paper proposes an open-system kinetic method for determining the rates of formation and consumption of intermediate products in complex chain reactions, where radical concentrations are not directly known. The authors derive relations for stationary concentrations when a known amount of an inte…