Use of aromatic polycyclic hydrocarbons and [Ru(bpy)3Cl2·(OAC)n] for the chemical redox activation of chemiluminescence in the oxidation of organoaluminum compounds by XeF2

Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 10, p. 2458, October, 1990.     

Direct decompositions of torsion-free Abelian groups of finite rank

It is proved that ifr ₁ ,r ₂ , ...,r _s ;l ₁ ,l ₂ , ...,l _t are the ranks of the indecomposable summands of two direct decompositions of a torsion-free Abelian group of finite rank and if s₀ is the number of units among the numbers r_i, while t₀ is the number of units among the numbers l_j, thenr _i ⩽n - t ₀ ,l _j ⩽n−s ₀ for all i, j. Moreover, if for some i we have r_i=n−t₀, then among the l_j's only one term is different from 1 and it is equal to n−t₀; similarly if l_j=n−s₀ for some j. In addition, a construction is presented, allowing to form, from several indecomposable groups, a new group, called a flower group, and it is proved that a flower group is indecomposable under natural restrictions on its defining parameters. Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 160, pp. 272–285, 1987.     

More about the embedding of a cyclic extension into a cyclic one

Relationship between the concordance condition and the solvability of the problem of embedding a cyclic Galois extension into another cyclic Galois extension is investigated. Bibliography: 4 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 319, 2004, pp. 293–299.     

Effect of diffusion and fluctuations in the nonequilibrium charge carrier density on the angular distribution of the output intensity for injection lasers based on an InAsSb/InAsSbP heterostructure

We have used numerical modeling to study the effect of diffusion and fluctuations in the nonequilibrium carrier density in the active layer of injection lasers based on an InAsSb/InAsSbP heterostructure on the angular distribution of the output intensity. We show that diffusion smoothes out the nonequilibrium carrier distribution in the active layer, and the fundamental lasing mode is stable over a much broader range of stripe contact widths. At the same time, diffusional processes can lead to formation of local regions with a jump in the density of nonequilibrium charge carriers, fluctuations in which can act as a source of instability for the fundamental lasing mode. Analysis of the numerical modeling results gives qualitative agreement with experimental data on the dependence of the angular distribution of the output radiation for different stripe contact widths.     

Short-living absorption and emission of CsI(Na)

This paper investigates the short-living absorption and the emission of CsI(Na) under a pulsed electron beam (Е_e=0.25 MeV, t_1/2=15 ns and W=0.003…0.16 J/cm²). The bands of singlet self-trapped excitons, as well as Na⁰ and V_k color centers have been detected in the transient absorption spectrum of CsI(Na). It has been found that the activator luminescence spectrum, peaking at 3.0 eV, fits a Gaussian (E_m=3.0 eV and FWHM=0.44±0.02 eV at 80 K) and remains the same at different time delays within 10⁻⁸-10⁻³ s. The decay kinetics of the 3.0 eV emission has one nanosecond exponential component and two microsecond ones with time constants 1.0 and 3.0 μs, which remain unchanged within 78-150 K. It is concluded that the activator emission is due to the radiative annihilation of sodium-perturbed two halide excitons from the non-relaxed singlet state. The pathways of such excitons creation are discussed.