Dihedral angles of tripeptides in solution directly determined by polarized Raman and FTIR spectroscopy

The amide I mode of the peptide linkage is highly delocalized in peptides and protein segments due to through-bond and through-space vibrationally coupling between adjacent peptide groups. J. Phys. Chem. B. 104:11316-11320) used coherent femtosecond infrared (IR) spectroscopy to determine the excitonic coupling energy and the orientational angle between the transition dipole moments of the interacting amide I modes of cationic tri-alanine in D(2)O. Recently, the same parameters were determined for all protonation states of tri-alanine by analyzing the amide I bands in the respective IR and isotropic Raman spectra (. J. Am. Chem. Soc. 119:1720-1726.). In both studies, the dihedral angles phi and psi were then obtained by utilizing the orientational dependence of the coupling energy obtained from ab initio calculations on tri-glycine in vacuo (. J. Raman Spectrosc. 29:81-86) to obtain an extended 3(1) helix-like structure for the tripeptide. In the present paper, a novel algorithm for the analysis of excitonic coupling between amide I modes is presented, which is based on the approach by Schweitzer-Stenner et al. but avoids the problematic use of results from ab initio calculations. Instead, the dihedral angles are directly determined from infrared and visible polarized Raman spectra. First, the interaction energy and the corresponding degree of wave-function mixing were obtained from the amide I profile in the isotropic Raman spectrum. Second, the depolarization ratios and the amide I profiles in the anisotropic Raman and IR-absorption spectra were used to determine the orientational angle between the peptide planes and the transition dipole moments, respectively. Finally, these two geometric parameters were utilized to determine the dihedral angles phi and psi between the interacting peptide groups. Stable extended conformations with dihedral angles in the beta-sheet region were obtained for all protonation states of tri-alanine, namely phi(+) = -126 degrees, psi(+) = 178 degrees; phi(+/-) = -110 degrees, psi(+/-) = 155 degrees; and phi(-) = -127 degrees, psi(-) = 165 degrees for the cationic, zwitterionic, and anionic state, respectively. These values reflect an extended beta-helix structure. Tri-glycine was found to be much more heterogeneous in that different extended conformers coexist in the cationic and zwitterionic state, which yield a noncoincidence between isotropic and anisotropic Raman scattering. Our study introduces vibrational spectroscopy as a suitable tool for the structure analysis of peptides in solution and tripeptides as suitable model systems for investigating the role of local interactions in determining the propensity of peptide segments for distinct secondary structure motifs.