The theory of constructing diabatic electronic wave functions for strongly
coupled potential energy surfaces is briefly reviewed. The use of a particu
larly simple diabatization scheme is advocated which removes only the leadi
ng terms of the nonadiabatic, or derivative, coupling elements. It is teste
d numerically for a well-established E X e Jahn-Teller problem and shown to
lead to very good (often excellent) agreement with the exact results. (C)
1999 American Institute of Physics. [S0021-9606(99)02719-1].