Molecular and crystalline structure of λ3-2,4,6-tri-tert-butylphenyldibromomethylenephosphine

Institute of Organic Chemistry, Ukrainian Academy of Sciences. Translated from Zhurnal Strukturnoi Khimii, Vol. 33, No. 2, pp. 174–177, March–April, 1992.     

Domains in C n+1 with noncompact automorphism group

We consider certain pseudoconvex domains in C ⁿ⁺¹ and show that if the automorphism group is noncompact, then the domain is equivalent to for some integerm ≥ 1. Communicated by Steven Krantz     

Motion of protons in the central opening of porphyrins

The distribution of the electrostatic potential of the molecule of porphine (P) and the anions formed by the successive elimination of one and two central protons from it has been studied by the SCF-MO-LCAO method in the all-valence-electron CNDO/2 approximation. The electrostatic potential of the potential of the (P-2HO^2– dianion is characterized by the presence of four minima located at a distance of about 1 Å from the nitrogen atoms. The potential in them is equal to –991 kJ/mole. The value of the potential at the center of the opening is –978 kJ/mole. The distribution of the electrostatic potential of the (P-H)^– anion with a fixed position of the proton near one of the nitrogen atoms is characterized by the presence of a deep valley situated at the oppositely lying nitrogen atom perpendicularly to the N-H bond. The potential of the molecule of P in the plane of the ring does not have negative values, attesting to the energetic unfavorability of the planar conformations of the (P+H)⁺ cation.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 22, No. 2, pp. 216–220, March–April, 1986.     

Universal central extensions of Lie conformal algebras,Part 2: Supercase

In the previous part of this study we considered universal central extensions of Lie conformal algebras and conditions for existence of such extensions. The aim of this paper is some refinement of previous results and extension of these results to Lie conformal superalgebras.     

Analytic sets extending the graphs of holomorphic mappings

Let D, D′ ⊂ ℂⁿ be bounded domains with smooth real analytic boundaries and ƒ: D → D′ be a proper holomorphic map. Our main result implies that if the graph of ƒ extends as an analytic set to a neighborhood of a poìnt (a, a′) ∈ ∂D × 3D′ with a′ ∈ cl_ƒ(a), then ƒ extends holomorphically to a neighborhood of a.     

Sputtering of zinc sulfide phosphors in excitation of radical-recombination luminescence by atomic hydrogen

Treatment of zinc sulfide phosphors in atomic hydrogen not only produces radical-recombination luminescence (RRL) but also sputtering of the phosphor. The sputtering rate has been estimated for FKP-03k powder phosphor at various temperatures. The atomic hydrogen produces defects of etch-pit type on the surface of a single crystal. The long-term response of the RRL has been recorded for the FKP-03k phosphor and it is ascribed to the sputtering.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 107–110, March, 1975.