Mapping of the potential anisotropy

Let us make the relation between the potential anisotropy and the final state distribution more quantitative. In first-order perturbation theory Equation (5.4f) can be directly integrated yielding the (approximate) expression 

In order to relate the rotational excitation function directly to the potential parameters we consider a potential of the form 

However, we must underline that this simple relation is only valid in the sudden limit, Erot C E. Equation (6.31) emphasizes in a simple way how the excitation function and therefore the final state distribution depends on the energy E, the reduced mass m, and last but not least the anisotropy parameter 0(7).+ More of the interrelation between the anisotropy of the PES and the final rotational state distribution follows in Chapter 10. 

1) C1CN (Barts and Halpern 1989) BrCN (Russel, McLaren, Jackson, and Halpern 1987) ICN (Fisher et al. 1984 Marinelli, Sivakumar, and Houston 1984 Nadler, Mahgerefteh, Reisler, and Wittig 1985). 

3) O3 (Moore, Bomse, and Valentini 1983 Levene, Nieh, and Valentini 1987). 

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