Adiabatic limit and nonadiabatic effects in the second order transition potential: Semi-empirical analysis

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Abstract
The second order transition potential introduced in the previous paper (see ibid., vol. 6, no. 10, 2040 of 1973) is generalized and analysed from the energy-dependency point of view. The adiabatic limit and the first nonadiabatic correction is given. The same potential is analysed also in terms of multipole moments and it is shown how wavefunction methods can be used to calculate it. In the adiabatic, dipole limit the long-range part of the transition polarization potential agrees with the one used in the polarized Born approximation (Truhlar 1970, Rice et al. 1972). The same limit gives a generalization of Temkin's (1957) polarized orbital method for inelastic scattering.