Intramolecular dynamics. I. Curvilinear normal modes, local modes, molecular anharmonic Hamiltonian, and application to benzene
Abstract
The Hamiltonian based on curvilinear normal modes and local modes (CNLM) is discussed using Wilson's exact vibrational Hamiltonian as basis, the CNLM representation diagonalizing only the normal mode block of FG matrix in curvilinear internal coordinates. Using CNLM the kinetic and potential energy operators for benzene are given, including cubic and quartic anharmonicity in the potential energy and cubic and quartic terms in the kinetic energy expansion in curvilinear coordinates. Using symmetrized coordinates and cubic and higher force constants the number and identity of the independent symmetry allowed (A1g) such force constants are obtained. The relation to conventional anharmonic force constants is then given and the allowed contributions of the latter are obtained. The results are applied to CH overtone spectra and intramolecular vibrational dynamics in Part III of this series.
Additional Information
©1991 The American Physical Society. Received 3 December 1990; accepted 5 February 1991. This research was supported by the Caltech Consortium in Chemistry and Chemical Engineering; Founding Members: E. I. du Pont de Nemours and Company, Inc., Eastman Kodak Company, and Minnesota Mining and Manufacturing Company. It is a pleasure to acknowledge also the support of this research by a grant from the National Science Foundation.Files
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Additional details
- Eprint ID
- 7078
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- CaltechAUTHORS:ZHAjcp91
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2007-01-08Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field