Mathematical modeling of the temperature fields during the solidification of metal in molds of complicated profile

We present a computational model of the process of solidification of metal in molds of complicated configuration. The model is based on the theory of R-functions, which makes it possible to construct the normal equations of drawings and introduce additional parameters into these equations, by means of which one can assure the required behavior of the solution corresponding to the technological implementation of the process. Computational experiments were carried out using thePOLE system. Translated fromMatematichni Metodi i Fiziko-mekhanichni Polya, Vol. 40, No. 1, 1997, pp. 59–65.     

Kinetics of the ionization of monoalkylbenzenes and nitroalkanes in polar solvents. 2. Calculation of the outer-sphere reorganization energy

Conclusions The outer-sphere reorganization energies have been calculated for the ionization of toluene (167 kJ/mole) and cumene (146 kJ/mole) in solutions of potassium tert-butoxide in DMSO.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 2, pp. 326–328, February, 1989.     

Intramolecular cyclization of alkoxycarbonylcarbenes during thermal decomposition of alkyl diazoacetates

Conclusions We were the first to observe the intramolecular cyclization of alkoxycarbonylcarbenes under the conditions for the thermal decomposition of alkyl diazoacetates, which proceeds via the insertion of the carbene C atom in the-C -H bond of the ester group.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 7, pp. 1652–1654, July, 1979.