Vibrational sum frequency generation
(SFG) has become a very promising
technique for the study of proteins at interfaces, and it has been
applied to important systems such as anti-microbial peptides, ion
channel proteins, and human islet amyloid polypeptide. Moreover, so-called
“chiral” SFG techniques, which rely on polarization
combinations that generate strong signals primarily for chiral molecules,
have proven to be particularly discriminatory of protein secondary
structure. In this work, we present a theoretical strategy for calculating
protein amide I SFG spectra by combining line-shape theory with molecular
dynamics simulations. We then apply this method to three model peptides,
demonstrating the existence of a significant chiral SFG signal for
peptides with chiral centers, and providing a framework for interpreting
the results on the basis of the dependence of the SFG signal on the
peptide orientation. We also examine the importance of dynamical and
coupling effects. Finally, we suggest a simple method for determining
a chromophore’s orientation relative to the surface using ratios
of experimental heterodyne-detected signals with different polarizations,
and test this method using theoretical spectra.