Vibrational sum frequency
generation (VSFG) spectroscopy is a powerful
tool for selective probing of interfaces based on second-order nonlinear
optics. The line shapes of observed VSFG spectra are governed by second-order
nonlinear susceptibility as well as Fresnel factors for constituent
light fields. Hence, determination of the second-order nonlinear susceptibility
requires exact knowledge about the Fresnel factors for the light fields.
However, the latter has been less examined than the former for interpretation
of VSFG spectra to date and is sometimes hard to calculate due to
a lack of optical constants, especially in the infrared regions. The
present work employs ATR-IR measurements and model fitting to determine
the complex refractive indices of organic solvents and clarifies the
effect of the Fresnel factor on the line shape analysis of VSFG spectra.
As an example, we determine the complex refractive indices of organic
carbonates, which are typical solvents for lithium-ion battery, in
the CO and CH stretch vibration regions, and then
examined the effect of frequency-dependent Fresnel factor on the VSFG
spectra of electrode/carbonate as well as air/carbonate interfaces
by model calculations. The Fresnel factor in the CO stretch
region has considerable dispersion due to the large extinction coefficient,
which strongly influences the line shape of VSFG spectra at LiCoO2/carbonate interfaces, especially for the SPS polarization
combination. On the contrary, the frequency-dependent Fresnel factor
in the CH stretch region has little effect on the line shape
of the band. The present systematic study of Fresnel factor revealed
that the effect of Fresnel factor on the VSFG line shape becomes significant
when (i) the frequency dependence of complex refractive index is large
in the range of the band and (ii) nonresonant amplitude of nonlinear
susceptibility is considerable relative to the resonant amplitude.