| A novel matrix method for calculating time correlation functions for observables consisting of a product of exponentiated harmonic operators is developed and applied to the calculation of multimode electronic absorption and resonance Raman spectra. The method is exact within the Condon and harmonic approximations and allows the inclusion of both linear and quadratic coupling effects.;Application of the above methods to both model systems and the simulation of the absorption and resonance Raman spectra of the transition metal dimers Re;The experimental part of this study is concerned with the application of time-resolved resonance Raman spectroscopy to the elucidation of the structures and kinetics of some of the intermediates formed during the catalytic reduction of molecular oxygen by the enzyme cytochrome oxidase.;For rapid calculation of resonance Raman spectra, an accurate decoupling approximation is developed and applied to one-, two-, and five-mode model systems. The results obtained are compared with those from an existing transform method. |
