TRANSFORM METHODS IN RESONANCE RAMAN-SCATTERING BASED ON HELLER THEORY

Heller's time-dependent theory of resonance Raman scattering is used t o derive powerful transform methods which relate absorption spectra an d resonance Raman excitation profiles. The present work uses the conce pt of a Raman coordinate subspace and gives an exact T = 0 K transform law for nth-order resonance Raman scattering for the cases in which ( i) the Raman active mode exhibits linear non-Condon coupling plus line ar and quadratic electron-phonon coupling but without Duschinsky rotat ion and (ii) the Raman active mode exhibits general mode mixing with a subset of other modes within the Condon approximation. A method for t he treatment of Duschinsky mixing and non-Condon effects to an arbitra ry high order is also given.