Abstract

A simple quantum-mechanical model for the nonradiative vibrational relaxation of a diatomic molecule in a monatomic liquid is developed. The rotation of the diatomic is neglected and it is assumed that only collinear collisions are responsible for the relaxation. The many-body states of the liquid are determined using a cell model and the cell potential is approximated as an infinite square well. The Fermi golden rule for the rate of vibrational relaxation is simplified to obtain a closed expression exhibiting explicit dependences upon the temperature and upon microscopic properties of the system. This expression is then used to predict the vibrational relaxation rates of some selected diatomic molecules (H 2, D 2, O 2, N 2, CO) in liquid rare gases (Ne and Ar).

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