A five-parameter nonlinear model is introduced to the description of the st
retching vibrational modes of benzene molecule in the electronic ground sta
te, and is applied for the first time to the calculations of energy levels
of C-H and C-D stretches of C6H6 and C6D6 in vapor phase. The results obtai
ned agree well with the experimental vibrational energy levels and with the
results obtained from other model calculations. Moreover, our model calcul
ations predict accurately some new overtone and combination bands that have
not been studied experimentally.