Simple derivation of an equation for the survival probability of a pair of reacting molecules

A simple derivation is given for an equation for the survival probability of a pair of reacting molecules when the reaction is diffusion-controlled.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 21, No. 2, pp. 222–224, March–April, 1985.     

Analytic properties of the solutions of Teukolsky's equation

A method is proposed for studying the low-frequency solutions of Teukolsky's equation, describing the behavior of massless fields in the vicinity of a Kerr black hole. Approximate basis solutions and an integral equation for exact solutions are constructed. The analytic properties of the exact solutions and the asymptotic behavior of the leading nonanalytic parts are investigated and the approximate solutions are estimated.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 47–51, July, 1981.The author is grateful to Professor K. A. Piragas and the participants of the seminar directed by him for their attention to the present work and for useful discussions.     

Synthesis of 3,4-benzo-1-chloro-1-methyl-1-silacyclohexane and some of its derivatives

Conclusions 3,4-Benzo-1-chloro-1-methyl-1-silacyclohexane was synthesized by intramolecular cyclization of vinylbenzylmethylchlorosilane; its structure was demonstrated, and the properties of some of its derivatives were investigated.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 12, pp. 2733–2737, December, 1969.