A method for solving the singlehyphen;particle Schrouml;dinger equation with an oblate spheroidal potential of finite depth is presented. The wave functions are then used to calculate the matrix elementTBAwhich appears in theories of nonadiabatic electron transfer. The results illustrate the effects of mutual orientation and separation of the two centers onTBA. Trends in these results are discussed in terms of geometrical and nodal structure effects. Analytical expressions related toTBAfor states of spherical wells are presented and used to analyze the nodal structure effects forTBAfor the spheroidal wells.
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