Quantum mechanical rate constants for bimolecular reactions

William H. Miller, Steven D Schwartz, John W. Tromp

Research output: Contribution to journalArticle

709 Citations (Scopus)

Abstract

Several formally exact expressions for quantum mechanical rate constants (i.e., bimolecular reactive cross sections suitably averaged and summed over initial and final states) are derived and their relation to one another analyzed. It is suggested that they may provide a useful means for calculating quantum mechanical rate constants accurately without having to solve the complete state-to-state quantum mechanical reactive scattering problem. Several ways are discussed for evaluating the quantum mechanical traces involved in these expressions, including a path integral evaluation of the Boltzmann operator/time propagator and a discrete basis set approximation. Both these methods are applied to a one-dimensional test problem (the Eckart barrier).

Original languageEnglish (US)
Pages (from-to)4889-4898
Number of pages10
JournalThe Journal of Chemical Physics
Volume79
Issue number10
StatePublished - 1983
Externally publishedYes

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Rate constants
Scattering
operators
propagation
evaluation
cross sections
approximation
scattering

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Quantum mechanical rate constants for bimolecular reactions. / Miller, William H.; Schwartz, Steven D; Tromp, John W.

In: The Journal of Chemical Physics, Vol. 79, No. 10, 1983, p. 4889-4898.

Research output: Contribution to journalArticle

Miller, William H. ; Schwartz, Steven D ; Tromp, John W. / Quantum mechanical rate constants for bimolecular reactions. In: The Journal of Chemical Physics. 1983 ; Vol. 79, No. 10. pp. 4889-4898.
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