All-valence-shell molecular orbital calculations on the chiroptical properties of substituted and unsubstituted 2,5-diketopiperazine structures

The chiroptical properties of L -3-methyl-2,5-diketopiperazine (L -alanylglycyl anhydride) are examined on a theoretical model in which the electronic wave functions are obtained from semi-empirical all-valence-shell molecular orbital calculations. The INDO molecular orbital model is used to perform SCF-MO calculations on the ground states of six conformation isomers of L -3-methyl-2,5-diketopiperazine and two chiral conformational isomers of unsubstituted 2,5-diketopiperazine. Excited-state wave functions are constructed in the virtual orbital-configuration interaction approximation. The rotatory strengths, dipole strengths, oscillator strengths, and dissymmetry factors of the first eight singlet–singlet transitions for each of the eight structures are calculated and reported. Additionally, ground-state dipole moments, net atomic charges, and the first four ionization potentials (calculated according to Koopman's theorem) are computed for each structure. The signs and the magnitudes of the rotatory strengths are found to be extremely sensitive to the conformation of the piperazine ring as well as to methyl substitution at the α carbon of the ring. Spectra–structure relationships based on the calculations reported here are discussed, and the available experimental CD data on dissymmetric 2,5-diketopiperazine are examined in terms of our theoretical results.