Teller Formula for VT-Relaxation Rate Coefficients

Landau-Teller Formula for VT-Relaxation Rate Coefficients 

To calculate the rate coefficient for VT relaxation of anharmonic oscillators, the relaxation probability as a function of relative velocity v of colliding particles can be presented as 

The temperature dependence of VT-relaxation probability can be expressed after the integration as 

The formula can be rewritten for the rate coefficient of VT relaxation of a single vibrational quantum (Landau Teller, 1936), which is known as the Landau-Teller formula  

The Landau-Teller formula was generalized in SSH theory (Schwartz, Slawsky, Herzfeld, 1952) and, in particular, by Bilhng (1986). A semi-empirical numerical relation 

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