### Abstract

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 language | English (US) |
---|---|

Pages (from-to) | 3102-3109 |

Number of pages | 8 |

Journal | The Journal of Chemical Physics |

Volume | 90 |

Issue number | 6 |

State | Published - 1989 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of Chemical Physics*,

*90*(6), 3102-3109.

**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′.** / Lynch, Gillian C.; Truhlar, Donald G.; Garrett, Bruce C.

Research output: Contribution to journal › Article

*The Journal of Chemical Physics*, vol. 90, no. 6, pp. 3102-3109.

}

TY - JOUR

T1 - Test of the accuracy of small-curvature and minimum-energy reference paths for parametrizing the search for least-action tunneling paths

T2 - (H,D)+H′Br→(H,D)Br+H′

AU - Lynch, Gillian C.

AU - Truhlar, Donald G.

AU - Garrett, Bruce C.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

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M3 - Article

VL - 90

SP - 3102

EP - 3109

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 6

ER -