G. I. KOBYSHEV and D. N. SUGLOBOV
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…
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This paper reports the occurrence of two rare potassium-bearing minerals, syngenite and carnallite, in deposits of the salt lake Dzhaksy-Klych near the Aral Sea. Based on chemical and mineralogical analyses, crystalloptical measurements, and thermographic heating curves, the authors identify syngeni…
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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…
Ya. G. Dorfman
This paper proposes a physically interpretable scheme for analyzing the magnetic susceptibility of diamagnetic organic compounds, addressing the lack of correspondence between Pascal’s empirical magnetochemical constants and the quantum mechanical division into Langevin diamagnetism and Van Vleck pa…
The e.m.f. of the following galvanic cell was measured:
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…
I. M. Derendyaev
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 …
Ya. M. Varshavsky, S. E. Vaisberg, and B. A. Trubitsyn
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…
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This paper presents a method for solving a mixed boundary value problem for a coupled system of two Fourier type equations arising in thermodiffusion. Using Fourier and Laplace transforms, the solution with prescribed initial data and provisional boundary values is represented through integrals invo…
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This paper constructs and studies a sixth degree line complex generated by a tetrahedral quadratic complex. Starting from properties of the cones of the quadratic complex and their intersections with opposite principal planes, it defines a set of lines for which a naturally associated two-valued inv…
A. I. MAL'CEV
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…
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S. I. KRICHMAR
This paper examines why electrochemical polishing of metals can yield highly smooth surfaces while still allowing structural etching at very small scales. It develops a diffusion and potential based estimate for the size range of crystalline features that can be etched during anodic dissolution, con…
G. I. SAMOKHVALOV, M. K. SHAKHOVA, and N. A. PREOBRAZHENSKII
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…
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This study experimentally examines V. G. Levich’s equation for convective diffusion to a rotating disk under turbulent conditions, particularly the predicted universality of the constant in the turbulent diffusion expression. The authors measured dissolution rates of terephthalic acid in dilute aque…
V. N. GRAMENITSKAYA, G. I. NIKISHIN
This paper investigates the sulfuric acid catalyzed condensation of benzene and alkylbenzenes with halogen derivatives of isobutylene, chiefly methallyl chloride, as a route to haloalkylated aromatic compounds containing branched alkyl groups with quaternary carbon atoms. The authors vary reagent ra…
D. O. Mokhnach
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…
K. A. BREUS
This paper studies canonical Hamiltonian systems with quadratic Hamiltonians whose coefficients are periodic functions of a rapidly varying argument, a setting motivated by problems in mechanics such as gyroscope theory. Building on prior reducibility results for the associated linear system, it pro…
Corresponding Member of the Academy of Sciences of the USSR G. N. FLEROV, D. S. KLOCHKOV,
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,…
E. M. LANDIS
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…
A. G. KULIKOVSKII
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…
A. I. Kitaigorodskii, Yu. V. Mnyukh
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 …
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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…
G. M. SERYKH
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,…
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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,…
G. P. BOIKOV, N. N. NEGODYAEVA, G. V. NIKOLAEVA
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…
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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…
A. F. Krupin, G. P. Boikov
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…
A. MARKOV
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…
G. P. BOIKOV
This paper addresses discrepancies between calculated and observed temperature fields during radiant heating of steel in the temperature interval of structural transformation. It proposes a refinement to earlier unsteady heat conduction formulas by representing the heat absorbed during recrystalliza…
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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…
Yu. A. Dem’yanov
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…
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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…
M. G. Shakhtakhtinskii and A. A. Kuliev
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…
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This paper analyzes the accuracy and convergence of direct variational methods for boundary value problems arising in the nonlinear theory of large shell deformations. It treats the Papkovich and Mushtari approaches by reducing the governing equations to compact operator equations in suitable energy…
Academician A. N. NESMEYANOV, E. G. PEREVALOVA, S. S. CHURANOV
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…
K. V. CHIBISOV
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…
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This paper studies the asymptotic behavior as a small positive parameter tends to zero for solutions of linear parabolic differential equations whose limiting first order problem has discontinuities or derivative discontinuities along characteristics. By transforming to characteristic coordinates an…
The purpose of the present note is to prove the following theorem:
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…
A. V. TOPCHIEV and V. L. VAISER
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…
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This paper describes 2,3-oxynaphthoic acid as a highly sensitive fluorescent reagent for detecting aluminum ions. The reaction produces a bright blue fluorescence in ultraviolet light at about pH 3 and above, and can be performed in solution or by a reagent-paper drop method, with reported detection…
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This paper examines whether measurements of boiling temperature and vapor composition can be used for physicochemical analysis of binary liquid systems, especially where chemical interaction between components occurs. Using ebulliometric measurements under controlled pressure, the authors compare no…
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V. P. Smilga and Corresponding Member of the USSR Academy of Sciences B. V. Deryagin
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…
G. P. BOIKOV
This paper applies similarity theory to the heating of bodies by radiant heat when thermal conductivity and heat capacity vary with temperature. Starting from the heat conduction equation, initial condition, radiative boundary condition, and material property relations, it nondimensionalizes the gov…
A. SHELUDKO
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…
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This study examines the fractional composition and physicochemical properties of sodium carboxymethylcellulose samples used in drilling fluids, adhesive applications, and related technologies. The authors fractionated four samples by precipitation with acetone or methanol and, for most samples, by u…
K. M. POLIVANOV
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…
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This paper develops a statistical theory of fluctuations in the sensitivity of crystals in nuclear photographic emulsions, arguing that observed fluctuations in particle track density are more plausibly due to crystal sensitivity variations than to ionization fluctuations. The authors model sensitiz…
B. V. Boyarsky
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…
N. M. EMANUEL, E. A. BLYUMBERG, D. M. ZIV, and V. L. PIKAEV
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…