Sum-frequency vibrational spectroscopy of chiral liquids off and close to electronic resonance and the antisymmetric Raman tensor

A detailed derivation and final expression for the symmetric and antisymmetric Raman tensors which is valid for both close to and far from electronic resonance, were discussed. The strength of the chiral vibrational peaks in infrared-visible sum-frequency (SF) vibrational spectra from isotropic chiral liquids was analyzed. It was found that the antisymmetric Raman tensor was much weaker than the symmetric counterpart in the Borh-Oppenheimer adiabatic approximation and nonadiaabatic corrections. Results obtained from Raman tensor show that the chiral sum-frequency vibrational spectroscopy (SFVS) near electronic resonance should be strongly enhanced, which can increase the the sensitivity of SFVS as a tool to probe molecular chirality in chiral medium.