FORMULAS FOR THE ANALYSIS OF SURFACE SUM-FREQUENCY GENERATION SPECTRUM BY CH STRETCHING MODES OF METHYL AND METHYLENE GROUPS

Derivation has been made of the expressions of surface vibrational sum-frequency generation (SVSFG). The results include (a) the vibrational selection rule, (b) the expressions of the susceptibility tensors at the surfaces composed of functional groups with C3-upsilon and C2-upsilon local symmetry, (c) the formulas of the SFG tensor components which apply specifically to the vibrational resonance with the CH stretching modes of methyl and methylene groups, and (d) the interference effect by the nearby Fermi resonance band. Changes introduced by the slight distortion of C3-upsilon symmetry into C(s) symmetry have also been discussed. Sample calculations have been made of the SVSFG of the CH stretch modes of oriented CH3 groups.