Molecular orbital calculations were performed to determine the normal
modes and vibrational energies of azobenzene. A semiempirical calculat
ion using the PM3 Hamiltonian and an ab initio calculation carried out
at the SCF level using the 6-31G basis set gave unsatisfactory predic
tions especially for vibrations dominated by azo atom displacements. H
igh-level electron correlation ab initio calculations carried out at t
he MP2 level improved the fit with experiment but the choice of basis
set was found to be critical. When the basis set for the nitrogens of
the azo group was changed to the 6-31+G(d) basis set, the calculation
gave a satisfactory fit. Normal-mode diagrams and energies are present
ed, and assignments to experimentally observed vibrational energies of
azobenzene are made. The main azo stretch, v(10), observed at 1440 cm
(-1), is theoretically predicted at 1450 cm(-1). The calculation corre
ctly predicts an increase in frequency in the azo stretch mode upon de
uteration of the phenyl rings. Coupling of several phenyl modes with a
zo vibrations are revealed by the calculation, in agreement with previ
ous assignments of the vibrational spectra of azobenzene and azobenzen
e derivatives. The calculation indicates why certain in-plane stretchi
ng frequencies give rise to relatively intense Raman and resonance Ram
an scattering. In Raman scattering, the modes giving rise to the stron
gest scattering involve displacements along the N=N and C-N bonds. The
same modes give intense resonance Raman scattering with the stretches
along the azo bond providing the greatest intensity.