Exact Formulation of the Adiabatic Theory

Adiabatic Statistical Theory of Reaction Rates 5.1. Exact Formulations of the Adiabatic Rate Theory 

Considering the high temperature limits of (67.Ill) or (79.Ill) in Sec.4.2, we assumed the validity of the condition (82.Ill) for vibrational-rotational adiabaticity from reactants to transition region of configuration space, which is equivalent to the condition (87.Ill) for the transition region. No restriction concerning the products region has been introduced in this way, however. 

20 Adiabatic potential curves (x) for two different vibration-rotation states (n=0 and n=n) V(x) electronic energy along the reaction coordinate x x=x and x=x positions of the maxima of V(x) and Vn (x), respectively x=x position of the maximum free energy P(x,T) E)f and 8 kinetic energies at x=xfl and x=x, respectively E total energy. 

V(x ) of the electronic energy V(x) along the reaction coordinate. Hence, for any quantum state n, there is a different transition state (x = x ). We can represent the total energy, instead of (56.111), by the equations (Pig.20) 

The factors 36 in (103.III) take into account through the qv antum effects, such as tunneling through and reflexion at the potential barrier, and also the nonadiabatic transitions from the ground to excited electronic states. 

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