Free nonassociative supercommutative algebras

In the present work, we prove that homogeneous subalgebras of free nonassociative supercommutative algebras are free. As a consequence, we show that the group of automorphisms of a free nonassociative supercommutative algebra of finite rank is generated by elementary automorphisms. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 3, pp. 103–109, 2003.     

Spatial distribution of elements of charged Frenkel defect pairs in alkali-halide crystals

Ion vibrations in alkali-halide crystals are investigated by the molecular dynamics method during decay of the molecular ion X ₂ ^– . The high efficiency of the athermal separation of the -, I-pair by displacement of the dynamic crowdion that is formed during decay of the molecular halide ion from the pre defect state or during charge-transfer of the F-, H-pair during their separation is proved. It is established that -, I-pairs are stable to annihilation if at the time of formation they turn out to be separated by a distance exceeding two interstial spacings.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 21–25, March, 1989.     

CYCLIZATION OF ISOMERIC BUTENYL PHENYL SULFIDES ON CHROMIC CATALYSTS

Abstract

It is established that isometric butenyl phenyl sulfides on chromic catalysts yield mainly direct cyclization products unlike their reactions on heterogenous acidic catalysts previously investigated in our laboratory. In the presence of such catalysts the formation of cyclic comcounds proceeds in different ways depending on the position of the side-chain double bond. In case chromic catalysts are used the mentioned factor affects only the easiness of cyclization, but not the nature of the process as such.     

Impurity cathodoluminescence of oxygen-containing LiF crystals

Cathodoluminescence of oxygen-containing LiF crystals (LiF-O, LiF-O,OH, LiF-WO₃) is studied by pulsed spectrometry with nanosecond resolution upon excitation of crystals by a single electronbeam pulse at 15 K.     

Effect of temperature on processes of radiation-induced generation of primary defects in MgF<Subscript>2</Subscript> crystals

The spectral and kinetic parameters of the absorption and emission relaxation initiated by a single nanosecond-range electron pulse in MgF₂ crystals are studied in the temperature range 20–550 K. It is found that the relationship between the two channels of dissipation of the electronic excitation energy (generation of F centers and short-lived excitons) does not depend on the temperature of the irradiated crystal in the temperature range 20–120 K and changes in favor of the F centers at T≥150 K. The temperature quenching of the 3.2-eV exciton emission at T≥60 K is detected. The ionic structure of the short-lived excitonic state is discussed.     

Experimental evidence of high-beta plasma confinement in an axially symmetric gas dynamic trap

In the axially symmetric magnetic mirror device gas dynamic trap (GDT), on-axis transverse beta (ratio of the transverse plasma pressure to magnetic field pressure) exceeding 0.4 in the fast ion turning points has been first achieved. The plasma has been heated by injection of neutral beams, which at the same time produced anisotropic fast ions. Neither enhanced losses of the plasma nor anomalies in the fast ion scattering and slowing down were observed. This observation confirms predicted magnetohydrodynamic stability of plasma in the axially symmetric mirror devices with average min-B, like the GDT is. The measured beta value is rather close to that expected in different versions of the GDT based 14 MeV neutron source for fusion materials testing.     

Formation of por-Si/SnOx nanocomposite by high-power ion beams of nanosecond duration

Layers of por-Si/SnO _x nanocomposite formed by high-power ion beam irradiation with nanosecond duration have been studied. The results of structural and elemental analyses of these layers are presented. The high sensitivity of this nanocomposite to low NO₂ concentrations at room temperature has been revealed.     

High-current nanosecond electron beams for probing the parameters of solids

Special features and prospects of using high-current nanosecond electron beams for probing the parameters of solids are examined. Of all the variety of signals carrying information on the characteristics of the test object under electron-beam excitation, the potentialities and features of pulsed cathodoluminescence of dielectric and semiconducting materials and of optical absorption (emission) of atoms evaporated by electron beams from metal surfaces or those of conducting rocks are discussed in detail. Tomsk Polytechnical University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 22–30, March, 2000.