Quantum theory of coherent Raman scattering by optically active isotropic materials

The fully quantum mechanical theory of coherent Raman scattering developed in a previous paper [J. Chem. Phys. 70, 4130 (1979)] is extended to include magnetic dipole and electric quadrupole interactions. This is done for radiation of arbitrary polarization. The intensities for the scattering of right and left circularly polarized light from an isotropic sample of optically active molecules are shown to differ slightly. The difference, in many cases, is expected to be of the order of 10^-3 times the coherent Raman intensity. This is of the same order as circular intensity differentials observed in spontaneous Raman spectra. Because of a high signal to noise ratio as well as other advantages, however, it is proposed that coherent Raman scattering may be superior to the spontaneous process for studying Raman optical activity.