Theoretical investigation on sum-frequency vibrational spectroscopy off electronic resonance for limonene chiral liquids: The second-order Herzberg-Teller effect

► We study the second-order electric transition dipole moment derivatives. ► We study the antisymmetric nonresonant vibrational Raman polarizabilities. ► We investigate the sum-frequency vibrational spectroscopy off electronic resonance. ► The contribution of second-order derivatives may be detectable experimentally.