Cosmological solution of the Einstein—Weyl equation

The accurate integration of the Einstein—Weyl field equations is considered for the case when the spinor field depends only on the time, while the metric specifies a uniform space—time of type I in the Bianci classification, i.e., a particular case of a Steckel space of type (3.0). Tomsk State Pedagogical University. Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 69–78, November, 1998.     

Optical transitions on GaAs [110] surface

Modulation techniques have been employed in optical reflection measurements on GaAs [110] cleaved surface. Spectral bands at 2.62 and 2.83 eV observed for the light polarization $\text{E6[}\text{1}\text{10]}$ have been assigned to the surface state transitions. The E₁ and E₁ + Δ₁ bulk transitions were found to be sensitive to the surface conditions.     

On nilpotent groups having an almost regular automorphism of prime order

Translated from Sibirskii Matematicheskii, Vol. 35, No. 3, pp. 630–632, May–June, 1994.     

On the entropy of melting

The analysis of experimental data shows that the function δS/R = f(δV/V_S), where δS/R is the entropy of melting and δV/V_S the relative change of volume at melting, is the same for argon and sodium. The melting entropy of these substances tends to Rln2, when δV/V_S vanishes.     

Conformational analysis of 2-substituted 1-nitro-and 1-bromo-1-nitroethenes

Conformational analysis of 2-trichloromethyl(ethoxycarbonyl)-1-nitro-and 2-trichloromethyl-(ethoxycarbonyl)-1-bromo-1-nitroethenes was performed using the dipole moment method, IR spectroscopy, and DFT quantum-chemical calculations (B3LYP/6-31G*). The nitro and ester (or trichloromethyl) groups in the molecules of these compounds were found to occupy trans positions with respect to the double C=C bond, i.e., the nitroalkenes have E, and their bromine-containing analogs, Z configuration; the compounds having an ethoxycarbonyl group are characterized by s-cis orientation of the C=C and C=O bonds.     

Thermodynamic Study of Iridium(I) Complexes as a Basis for Chemical Gas-Phase Deposition Technology

Russian Journal of General Chemistry - Experimental data on the saturated vapor pressure and melting of dicarbonyl(hexafluoroacetylacetonato)iridium [Ir(CO)2(hfac)] were obtained. Thermodynamic...     

Structures and optical and electrochemical properties of the Pt(II) and Pd(II) complexes with cyclometallated 2-phenylbenzothiazole and 1,4,7-trithiocyclononane

The distorted square pyramidal structures of the Pt(II) and Pd(II) complexes with cyclometallated 2-phenylbenzothiazole and flexible 1,4,7-trithiocyclononane are shown by X-ray diffraction analysis, IR spectroscopy, and ¹Н, ¹³С{¹H{, and ¹⁹⁵Pt NMR spectroscopy. The axial interaction of the d _Z2 orbital of Pt(II) and Pd(II) with the S atom of 1,4,7-trithiocyclononane results in the temperature quenching of the intraligand phosphorescence of the cyclometallated complexes in a solution and the one-electron ligand- and metal-centered reduction and oxidation of the complexes with the formation of the relatively stable Pd(III) complex (CIF file CCDC no. 1483011).     

Graded Lie algebras with few nontrivial components

We prove that if a (?/n?)-graded Lie algebra L = ? _i=0 ^n?1 L _i has d nontrivial components L _i and the null component L ₀ has finite dimension m, then L has a homogeneous solvable ideal of derived length bounded by a function of d and of codimension bounded by a function of m and d. An analogous result holds also for the (?/n?)-graded Lie rings L = ? _i=0 ^n?1 with few nontrivial components L _i if the null component L ₀ has finite order m. These results generalize Kreknin’s theorem on the solvability of the (?/n?)-graded Lie rings L = ? _i=0 ^n?1 L _i with trivial component L ₀ and Shalev’s theorem on the solvability of such Lie rings with few nontrivial components L _i . The proof is based on the method of generalized centralizers which was created by E. I. Khukhro for Lie rings and nilpotent groups with almost regular automorphisms of prime order [1], as well as on the technique developed in the work of N. Yu. Makarenko and E. I. Khukhro on the almost solvability of Lie algebras with an almost regular automorphism of finite order [2].