A multimode vibronic treatment of absorption, resonance Raman, and hyper-Rayleigh scattering of excitonically coupled molecular dimers

The linear absorption spectra, resonance Raman excitation profiles and depolarization dispersion curves, and hyper-Rayleigh scattering profiles are calculated for excitonically coupled homodimers of a model electron donor–acceptor “push–pull” conjugated chromophore as a function of dimer geometry. The vibronic eigenstates of the dimer are calculated by diagonalizing the matrix of transition dipole couplings among the vibronic transitions of the constituent monomers. The absorption spectra show the usual red- or blueshifted transitions for J-type or H-type dimers, respectively. When the electronic coupling is large compared with the vibronic width of the monomer spectrum, the dimer absorption spectra exhibit simple Franck–Condon progressions having reduced vibronic intensities compared with the monomer, and the resonance Raman excitation profiles are shifted but otherwise only weakly perturbed. When the coupling is comparable to the vibronic width, the H-dimer absorption spectra exhibit irregular vibronic frequency spacings and intensity patterns and the effects on the Raman excitation profiles are larger. There is strong dispersion in the Raman depolarization ratios for dimer geometries in which both transitions carry oscillator strength. The first hyperpolarizabilities are somewhat enhanced in J-dimers and considerably reduced in H-dimers. These effects on the molecular β will amplify the effects of dimerization on the ground-state dipole moment in electro-optic materials formed from chromophore-doped polymers that must be electric field poled to obtain the net alignment needed for a macroscopic ${\chi }^{\text{(2)}}.$