### Abstract

A method for earring out quantum-mechanical scattering calculations ( J. Chem. Phys. 86 (1987) 6213) is successfully applied to 3-D H + H_{2} reactive scattering. This new method (essentially the Kohn variational method, but applied directly to the S-matrix rather than to the K-matrix) is general, straightforward, variationally stable, and applies equally well to reactive (i.e., rearrangement) and non-reactive scattering process. Its most important practical feature, compared to other similar basis-set approaches, is that it requires matrix elements only of the Hamiltonian operator itself and not those involving the scattering Green's function of some reference problem. Our calculations show that the method is numerically stable within a broad range of energies and converges fast with respect to basis set and numerical parameters. The method allows the use of a flexible distortion potential and contracted basis functions. Due to its generality and straightforwardness, the method is potentially powerful for studying more complex reactive systems beyond atom/diatom reactive scattering.

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

Pages (from-to) | 329-337 |

Number of pages | 9 |

Journal | Chemical Physics Letters |

Volume | 140 |

Issue number | 4 |

DOIs | |

State | Published - Oct 9 1987 |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Condensed Matter Physics
- Atomic and Molecular Physics, and Optics
- Surfaces and Interfaces

### Cite this

*Chemical Physics Letters*,

*140*(4), 329-337. https://doi.org/10.1016/0009-2614(87)80742-X

**New method for quantum reactive scattering, with applications to the 3-D H+H2 reaction.** / Zhang, John; Miller, William H.

Research output: Contribution to journal › Article

*Chemical Physics Letters*, vol. 140, no. 4, pp. 329-337. https://doi.org/10.1016/0009-2614(87)80742-X

}

TY - JOUR

T1 - New method for quantum reactive scattering, with applications to the 3-D H+H2 reaction

AU - Zhang, John

AU - Miller, William H.

PY - 1987/10/9

Y1 - 1987/10/9

N2 - A method for earring out quantum-mechanical scattering calculations ( J. Chem. Phys. 86 (1987) 6213) is successfully applied to 3-D H + H2 reactive scattering. This new method (essentially the Kohn variational method, but applied directly to the S-matrix rather than to the K-matrix) is general, straightforward, variationally stable, and applies equally well to reactive (i.e., rearrangement) and non-reactive scattering process. Its most important practical feature, compared to other similar basis-set approaches, is that it requires matrix elements only of the Hamiltonian operator itself and not those involving the scattering Green's function of some reference problem. Our calculations show that the method is numerically stable within a broad range of energies and converges fast with respect to basis set and numerical parameters. The method allows the use of a flexible distortion potential and contracted basis functions. Due to its generality and straightforwardness, the method is potentially powerful for studying more complex reactive systems beyond atom/diatom reactive scattering.

AB - A method for earring out quantum-mechanical scattering calculations ( J. Chem. Phys. 86 (1987) 6213) is successfully applied to 3-D H + H2 reactive scattering. This new method (essentially the Kohn variational method, but applied directly to the S-matrix rather than to the K-matrix) is general, straightforward, variationally stable, and applies equally well to reactive (i.e., rearrangement) and non-reactive scattering process. Its most important practical feature, compared to other similar basis-set approaches, is that it requires matrix elements only of the Hamiltonian operator itself and not those involving the scattering Green's function of some reference problem. Our calculations show that the method is numerically stable within a broad range of energies and converges fast with respect to basis set and numerical parameters. The method allows the use of a flexible distortion potential and contracted basis functions. Due to its generality and straightforwardness, the method is potentially powerful for studying more complex reactive systems beyond atom/diatom reactive scattering.

UR - http://www.scopus.com/inward/record.url?scp=0000763491&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000763491&partnerID=8YFLogxK

U2 - 10.1016/0009-2614(87)80742-X

DO - 10.1016/0009-2614(87)80742-X

M3 - Article

VL - 140

SP - 329

EP - 337

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 4

ER -