Calculation of infrared intensities of highly excited vibrational states of HCN using Van Vleck perturbation theory

摘要

Canonical Van Vleck perturbation theory (CVPT) is used to calculate electric dipole intensities for onehyphen;, twohyphen;, and threehyphen;dimensional models of HCN and a sixhyphen;dimensional model of H2CO. Lehmann and Smith lsqb;J. Chem. Phys.93, 6140 (1990)rsqb; have shown that the intensities of overtone transitions are sensitive to the details of the inner wall of the potential. Dipole intensities calculated for several, similar onehyphen;dimensional CH stretch potentials demonstrate that perturbation theory correctly predicts this sensitivity. The perturbation intensities of a twohyphen;dimensionalabinitiodipole surface indicate the importance of selected stretchndash;stretch resonance interactions in interpreting the CH stretch overtone spectra of HCN. The inclusion of the bend confirms that this degree of freedom plays a significant role in weakening the intensity of the CN overtones. The CH stretch overtone spectra of H2CO is calculated to illustrate the utility of the perturbative approach for predicting the transition intensities for a system in which there are multiple Fermi interactions.