Application of the inverse-problem method for the calculation of the probability characteristics of elementary processes

Autor:	L. A. Shelepin, I. V. Simanovskii, Yu. A. Kulagin, R. I. Serikov
Rok vydání:	1999
Předmět:	Physics Fredholm integral equation Activation energy Inverse problem Threshold energy Regularization (mathematics) Chemical reaction Atomic and Molecular Physics and Optics Domain (mathematical analysis) symbols.namesake symbols Applied mathematics Adiabatic process Engineering (miscellaneous)
Zdroj:	Journal of Russian Laser Research. 20:560-588
ISSN:	1573-8760 1071-2836
DOI:	10.1007/bf02508616
Popis:	The inverse problem method for elementary processes in physical-chemical kinetics is developed. By using experimental values of the velocity constants determined in a limited temperature range, cross-sections of the physical-chemical reactions are obtained as functions of the colling-molecule energies for the domain of all adiabatic and non-adiabatic energies. The mathematical foundations of the regularization, which are connected with the solution of a Fredholm equation of the first kind where the criterion selection of the regularization parameter is proposed, are considered in detail. Numerical calculations of cross-sections of a number of physical-chemical reactions are presented. The accuracy of the inverse problem is discussed. Parameters of the intermolecular potential, threshold energy, and activation energy of the elementary chemical reactions are determined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bca18bddfb1c224a05d4f7859e577ffb https://doi.org/10.1007/bf02508616 Zobrazit plný text záznamu Full text from SpringerLink