High-resolution terahertz spectroscopy of crystalline trialanine: extreme sensitivity to beta-sheet structure and cocrystallized water.

High-resolution terahertz absorption spectra (0.06-3 THz) have been obtained at 4.2 K for three crystalline forms of trialanine [H2+-(Ala)3-O-]. The crystal structures differ in their beta-sheet forms (parallel vs antiparallel) and in their water composition (hydrated vs dehydrated antiparallel beta-sheet). The spectra are nearly vibrationally resolved, with little absorption below 1 THz. In sharp contrast to observations made in the mid-IR region, the spectral patterns of all three forms are qualitatively different, illustrating the extreme sensitivity to changes in the intermolecular hydrogen-bonding networks that stabilize peptide crystals. Predictions obtained from a classical force field model (CHARMM) and density functional theory (DFT/PW91) for periodic solids are compared with the X-ray structural data and the terahertz absorption spectra. In general, the results for the parallel beta-sheet are in better agreement with experiment than those for the antiparallel beta-sheet. For all three structures, however, most hydrogen bond distances are underestimated at both levels of theory, and the predicted absorption features are significantly red-shifted for the two antiparallel beta-sheet structures. Moreover, the nuclear motions predicted at the two levels of theory are qualitatively different. These results indicate that the PW91 functional is not sufficient to treat the weak intersheet hydrogen bonding present in the different beta-sheet forms and strongly suggest the need for improved force field models that include three-atom hydrogen-bonding terms for periodic solids.