Computation of accurate hydrogen bonding energies in peptides is of great importance in understanding the conformational stabilities of peptides. In this paper, the intramolecular 8- and 12-membered ring N – H … O = C hydrogen bonding energies in β-peptide structures were evaluated. The optimal structures of the β-peptide conformers were obtained using MP2/6-31G(d) method. The MP2/6-311++G(d,p) calculations were then carried out to evaluate the single-point energies. The results show that the intramolecular 8-membered ring N – H … O = C hydrogen bonding energies in the five β-dipeptide structures β-di, β-di-R1, β-di-R2, β-di-R3, and β-di-R4 are -5.50, -5.40, -7.28, -4.94, and -6.84 kcal/mol with BSSE correction, respectively; the intramolecular 12-membered ring N – H … O = C hydrogen bonding energies in the nine β-tripeptide structures β-tri, β-tri-R1, β-tri-R2, β-tri-R3, β-tri-R4, β-tri-R1', β-tri-R2', β-tri-R3' and β-tri-R4' are -10.23, -10.32, -9.53, -10.30, -10.32, -10.55, -10.09, -10.51, and -9.60 kcal/mol with BSSE correction, respectively. Our calculation results further indicate that for the intramolecular 8-membered ring hydrogen bondings, the structures where the orientation of the side chain methyl group is "a–a" have stronger intramolecular hydrogen bondings than those where the orientation of the side chain methyl group is "e–e", while for the intramolecular 12-membered ring hydrogen bondings, the structures where the orientation of the side chain methyl group is "e–e" have stronger intramolecular hydrogen bondings than those where the orientation of the side chain methyl group is "a–a". The method is also applied to estimate the individual intermolecular hydrogen bonding energies in the dimers of amino-acetaldehyde, 2-amino-acetamide, 2-oxo-acetamide, and oxalamide, each dimer having two identical intermolecular hydrogen bonds. According to our method, the individual intermolecular hydrogen bonding energies in the four dimers are calculated to be -1.71, -1.50, -4.67, and -3.22 kcal/mol at the MP2/6-311++G(d,p) level, which are in good agreement with the values of -1.84, -1.72, -4.93, and -3.26 kcal/mol predicted by the supermolecular method.
Exploring the Structural Chemistry of Pyrophosphoramides: N,N′,N″,N‴-Tetraisopropylpyrophosphoramide