Kinetic Nature of the Process of Microindentation into Alkali Halide Crystals

The investigation of the dependence of indentor intrusion depth on the time of load application and temperature for the alkali-halide crystals KCl, LiF, NaCl has been carried out. The dependence of indentor intrusion velocity logarithm lg ḣ in microhardness H appears to be linear in the investigated interval of loading times and temperatures. The data obtained may prove the thermofluctuational character of the microindentation process. — The activation energy of microindentation process almost coincides with the activation energies of the sublimation process.     

Integral Representations for Solutions of Some Types of the Beltrami Equations

We obtain integral representations for solutions of some types of the Beltrami equations. These representations allow us to prove analogs of some classical complex analysis for these solutions.     

Production of L-phenylalanine from acetamidocinnamic acid usingBacillus sphaericus andParacoccus denitrificans

To establish an efficient production method for L-phenylalanine (L-Phe), the possibility of L-Phe production from acetamidocinnamic acid by a two-step enzyme reaction was investigated.Bacillus sphaericus N-7 (FERM-P no. 6746) was selected as an enzyme source for the acylase used to form phenylpyruvic acid from aceta midocinnamic acid.Paracoccus denitrificans IFO 12442 was selected as an aminotransferase source for the conversion of phenylpyruvic acid to L-Phe. By using both cell types, 0.46M L-Phe was produced in a molar yield of 92% from 0.5M acetamidocinnamic acid.     

Convexity and star-shapedness of the level curves of polynomials

We examine the conditions under which one of the components of a reducible level curve of a polynomial is star-shaped or convex.     

Invertibility symbol for a Banach algebra generated by two idempotents and a shift

A Banach algebra generated by two idempotentsp, r, identitye and a shiftv which satisfy the conditionspv=vp andrv=v(e–r) is investigated. It is proved that all irreducible representations of algebraA are two- and four-dimensional. The explicit form of these representations is obtained. An Invertibility Symbol is constructed. Some examples are considered.     

Nearly spherical vesicles: Shape fluctuations

Isolated vesicles with “insufficient” area have a finite surface tension and spherical shapes, whereas vesicles with “excess” area are necessarily aspherical. We consider the crossover behavior between both kinds of vesicles occurring as the equilibrium area increases. In the mean field approximation it is a second-order phase transition from the spherical to aspherical shape. We demonstrate the fluctuations smear the transition. The critical behavior of the amplitudes of fluctuations and of their characteristic times is investigated. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 3, 203–208 (10 February 1996) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Photooxidation of alkanes and benzene by polyvanadate in CF3CO2H

Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 10, p. 2461, October, 1990.     

Universal function for the description of multi-layer adsorption isotherms

In describing multi-layer adsorption it is common to use standard isotherms. To establish such isotherms experimental data are required at a wide range of adsorptive pressure. This paper presents the theoretical and experimental analysis of the new t _δ-method, which is suitable to predict type II multi-layer adsorption isotherms on the basis of only two adsorption values, measured in the area of mono- and multi-layer saturation and of the surface fractal dimension of the adsorbent.