Isotopic substitution with 13 C on the amide CdO has become an important means of determining localized structural information about peptide conformations with vibrational spectroscopy. Various approaches to the modeling of the interactions between labeled amide sites, specifically for antiparallel two-stranded, -forming peptides, were investigated, including different force fields [dipole-dipole interaction vs density functional theory (DFT) treatments], basis sets, and sizes of model peptides used for ab initio calculations, as well as employing models of solvation. For these -sheet systems the effect of the relative positions of the 13 C isotopic labels in each strand on their infrared spectra was investigated. The results suggest that the interaction between labeled amide groups in different strands can be used as an indicator of local -structure formation, because coupling between close-lying CdO groups on opposing chains leads to the largest frequency shifts, yet some alternate placements can lead to intensity enhancements. The basic character of the coupling interaction between labeled modes on opposing strands is independent of changes in peptide length, water solvent environment, twisting of the sheet structure, and basis set used in the calculations, although the absolute frequencies and detailed coupling magnitudes change under each of these perturbations. In particular, two strands of three amides each contain the basic interactions needed to simulate larger sheets, with the only exception that the CdO groups forming H-bonded rings at the termini can yield different coupling values than central ones of the same structure. Spectral frequencies and intensities were modeled ab initio by DFT primarily at the BPW91/ 6-31G** level for pairs of three, four, and six amide strands. Comparison to predictions of a classical coupled oscillator model show qualitative but not quantitative agreement with these DFT results.
IntroductionVibrational spectra, IR and Raman, have long been used to determine average secondary structure characteristics in peptides and proteins. 1-4 Like electronic circular dichroic (ECD) structural studies, the limited resolution of vibrational spectra normally provides sequence-averaged structural information in comparison to the localized details derivable from NMR and X-ray diffraction. Since optical spectra can provide inherently fast measures of structure and are generally applicable to all protein and peptide systems, increasing their information content is of wide interest. Vibrational spectra, in contrast to electronic spectra, have distinctive frequency shifts due to isotopic variation, which can be used to give site-specific characteristics to certain bands for selectively labeled peptides. In the past decade a number of studies have appeared where isotopic substitution was used to obtain better structural insight with IR spectra. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] Isotopic labeling of the amide group has an important impact on vibrational spectra, be...