### Abstract

A theory for collision-induced transitions in the subset of quantum states |_{e}〉 is developed, where the full molecular basis is |a _{e}a_{u}〉. The only assumption is that changes in a _{u} occur much more quickly than those in a_{e}. The choice of a_{e} and a_{u} is in general arbitrary, and it is shown how to make this separation based on the type of experimental measurement under consideration. For example, an evaluation of an atom-vibrotor problem (i.e., a_{e}=n, a_{u}=jm_{j}) is considered. In conjuction with this illustration an analysis of the breathing sphere (BS) approximation is carried out. It is concluded that a modified BS method (i.e., use of the diagonal rotational potential) should be valid when the random phase approximation holds for the rotational scattering amplitude.

Original language | English (US) |
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Pages (from-to) | 4017-4021 |

Number of pages | 5 |

Journal | The Journal of Chemical Physics |

Volume | 68 |

Issue number | 9 |

DOIs | |

State | Published - Jan 1 1978 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

*The Journal of Chemical Physics*,

*68*(9), 4017-4021. https://doi.org/10.1063/1.436316