Test of the accuracy of small-curvature and minimum-energy reference paths for parametrizing the search for least-action tunneling paths: (H,D)+H′Br→(H,D)Br+H′

Gillian C. Lynch, Donald G. Truhlar, Bruce C. Garrett

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The least-action semiclassical algorithm for multidimensional tunneling probabilities [B. C. Garrett and D. G. Truhlar, J. Chem. Phys. 79, 4931 (1983)] has usually been employed by interpolating tunneling paths between two limits, a least-motion limit appropriate for large reaction-path curvature and a minimum-energy limit appropriate for small reaction-path curvature. In the present study we test whether, when the reaction-path curvature is small, more accurate results might be obtained by using a general small-curvature reference path. Least-action algorithms with both types of reference paths are compared to each other, to five other semiclassical approximations, and to accurate quantal dynamical rate constants for one three-dimensional and two collinear reactions with the mass combination ℒ + ℋ ℒ′ → ℒ ℋ + ℒ′ where ℒ and ℋ′ denote light atoms (H or D) and ℋ denotes a heavy atom (Br). We find, perhaps surprisingly, that the usual least-action method works best. This is encouraging because the minimum-energy reference is easier than the small-curvature reference to extend to polyatomic reactions.

Original languageEnglish (US)
Pages (from-to)3102-3109
Number of pages8
JournalThe Journal of Chemical Physics
Issue number6
StatePublished - Jan 1 1989


ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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