A new formulation of quantum transition state theory for adiabatic rate constants
- 1 October 1994
- journal article
- conference paper
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 101 (7) , 6032-6037
- https://doi.org/10.1063/1.467318
Abstract
A new formulation of quantum transition state theory for adiabatic reactions is proposed. It is based on the flux–flux correlation function of Miller, Schwartz, and Tromp, and calculation of a rate constant requires only the calculation of this correlation function and its second derivative at zero time. The theory is tested for a one‐dimensional Eckart barrier and a parabolic barrier linearly coupled to a harmonic oscillator. This quantum transition state theory is exact for a one‐dimensional parabolic barrier, is accurate for the model problems studied even under highly quantum conditions, and in the classical limit (ℏ→0) becomes classical transition state theory. An analytic continuation procedure for calculating corrections to the transition state theory is discussed.Keywords
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