A reaction-path Hamiltonian described with quasirectilinear vibrational coordinates constructed from a nonlinear combination of curvilinear internal coordinates: Application to examination of the reaction CH4+F→CH3+HF

Yoshishige Okuno, Shiyoshi Yokoyama, Shinro Mashiko

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15 Citations (Scopus)

Abstract

The reaction-path Hamiltonian formulation reported in the preceding paper, where the Hamiltonian is described with quasirectilinear vibrational coordinates related nonlinearly to curvilinear internal coordinates, was applied to the examination of the reaction CH4+F->CH3+HF. For this reaction we made ab initio calculations and determined the harmonic vibrational frequencies along the reaction path by each of (1) a method using the new formulation, (2) the method of Miller et al. [J. Chem. Phys. 72, 99 (1980)], and (3) that of Truhlar et al. [J. Chem. Phys. 102, 3188 (1995)]. We found that the harmonic vibrational frequencies determined by the new method differ significantly from those determined by the other two methods in the region away from the stationary states. This difference is attributed to the limitations of the latter two methods. We concluded that the reaction-path Hamiltonian determined by the new method should be used to obtain an accurate picture of the reaction-path dynamics under the zero-angular-momentum assumption.

Original languageEnglish
Pages (from-to)3136-3140
Number of pages5
JournalJournal of Chemical Physics
Volume113
Issue number8
Publication statusPublished - Aug 22 2000
Externally publishedYes

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Hamiltonians
examination
Vibrational spectra
Angular momentum
harmonics
formulations
angular momentum

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "A reaction-path Hamiltonian described with quasirectilinear vibrational coordinates constructed from a nonlinear combination of curvilinear internal coordinates: Application to examination of the reaction CH4+F→CH3+HF",
abstract = "The reaction-path Hamiltonian formulation reported in the preceding paper, where the Hamiltonian is described with quasirectilinear vibrational coordinates related nonlinearly to curvilinear internal coordinates, was applied to the examination of the reaction CH4+F->CH3+HF. For this reaction we made ab initio calculations and determined the harmonic vibrational frequencies along the reaction path by each of (1) a method using the new formulation, (2) the method of Miller et al. [J. Chem. Phys. 72, 99 (1980)], and (3) that of Truhlar et al. [J. Chem. Phys. 102, 3188 (1995)]. We found that the harmonic vibrational frequencies determined by the new method differ significantly from those determined by the other two methods in the region away from the stationary states. This difference is attributed to the limitations of the latter two methods. We concluded that the reaction-path Hamiltonian determined by the new method should be used to obtain an accurate picture of the reaction-path dynamics under the zero-angular-momentum assumption.",
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AU - Okuno, Yoshishige

AU - Yokoyama, Shiyoshi

AU - Mashiko, Shinro

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N2 - The reaction-path Hamiltonian formulation reported in the preceding paper, where the Hamiltonian is described with quasirectilinear vibrational coordinates related nonlinearly to curvilinear internal coordinates, was applied to the examination of the reaction CH4+F->CH3+HF. For this reaction we made ab initio calculations and determined the harmonic vibrational frequencies along the reaction path by each of (1) a method using the new formulation, (2) the method of Miller et al. [J. Chem. Phys. 72, 99 (1980)], and (3) that of Truhlar et al. [J. Chem. Phys. 102, 3188 (1995)]. We found that the harmonic vibrational frequencies determined by the new method differ significantly from those determined by the other two methods in the region away from the stationary states. This difference is attributed to the limitations of the latter two methods. We concluded that the reaction-path Hamiltonian determined by the new method should be used to obtain an accurate picture of the reaction-path dynamics under the zero-angular-momentum assumption.

AB - The reaction-path Hamiltonian formulation reported in the preceding paper, where the Hamiltonian is described with quasirectilinear vibrational coordinates related nonlinearly to curvilinear internal coordinates, was applied to the examination of the reaction CH4+F->CH3+HF. For this reaction we made ab initio calculations and determined the harmonic vibrational frequencies along the reaction path by each of (1) a method using the new formulation, (2) the method of Miller et al. [J. Chem. Phys. 72, 99 (1980)], and (3) that of Truhlar et al. [J. Chem. Phys. 102, 3188 (1995)]. We found that the harmonic vibrational frequencies determined by the new method differ significantly from those determined by the other two methods in the region away from the stationary states. This difference is attributed to the limitations of the latter two methods. We concluded that the reaction-path Hamiltonian determined by the new method should be used to obtain an accurate picture of the reaction-path dynamics under the zero-angular-momentum assumption.

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