COLLISION DYNAMICS AND STATISTICAL THEORIES OF CHEMICAL REACTIONS .1. AVERAGE CROSS SECTION FROM TRANSITION-STATE THEORY

被引:90
作者
MOROKUMA, K
EU, BC
KARPLUS, M
机构
[1] Department of Chemistry, Harvard University, Cambridge
[2] Department of Chemistry, University of Rochester, Rochester, NY
[3] Department of Chemistry, McGill University, Montreal, Que.
关键词
D O I
10.1063/1.1671933
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
By recasting the transition-state-theory formula for the reaction rate of a general bimolecular reaction and making use of Laplace transform techniques, an expression for the average reaction cross section as a function of the total system energy is derived; the result for three-dimensional collisions have been given previously by Marcus. For the collinear model, a reaction probability replaces the cross section. Cross sections and probabilities for a number of special cases are given. It is shown that under certain conditions, improper high-energy limits result. The relation of the present conclusions to unimolecular rate theory is indicated. Copyright © 1970 by the American Institute of Physics.
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页码:5193 / &
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