Critical comparison of approximate and accurate quantum-mechanical calculations of rate constants for a model activated reaction in solution

Robin P. McRae, Gregory K. Schenter, Bruce C. Garrett, George R. Haynes, Gregory A. Voth, George C Schatz

Research output: Contribution to journalArticle

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Abstract

Accurate quantum-mechanical calculations of rate constants for a model of reaction in solution are used as benchmarks for two approximate methods: variational transition-state theory with semiclassical corrections for reaction coordinate motion, and the path-integral centroid density method. The reaction model corresponds to a single solute coordinate coupled to a harmonic bath mode. When the harmonic frequency of the bath oscillator is sufficiently high, the results of the approximate methods agree well with the accurate quantum-mechanical ones. For the lowest-frequency bath oscillator considered, the agreement is not as good, but still satisfactory; the worst discrepancies are a factor of 2.0 for the centroid density methods and a factor of 3.3 for variational transition-state theory with semiclassical tunneling corrections. Applications of the approximate methods to models including up to ten bath oscillators indicate that a single bath oscillator provides a reasonable model of a converged harmonic bath.

Original languageEnglish
Pages (from-to)7392-7404
Number of pages13
JournalJournal of Chemical Physics
Volume97
Issue number10
Publication statusPublished - 1992

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baths
Rate constants
oscillators
harmonics
centroids
solutes
low frequencies

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Critical comparison of approximate and accurate quantum-mechanical calculations of rate constants for a model activated reaction in solution. / McRae, Robin P.; Schenter, Gregory K.; Garrett, Bruce C.; Haynes, George R.; Voth, Gregory A.; Schatz, George C.

In: Journal of Chemical Physics, Vol. 97, No. 10, 1992, p. 7392-7404.

Research output: Contribution to journalArticle

McRae, Robin P. ; Schenter, Gregory K. ; Garrett, Bruce C. ; Haynes, George R. ; Voth, Gregory A. ; Schatz, George C. / Critical comparison of approximate and accurate quantum-mechanical calculations of rate constants for a model activated reaction in solution. In: Journal of Chemical Physics. 1992 ; Vol. 97, No. 10. pp. 7392-7404.
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