Some symmetry aspects of the local-mode description of vibrational structure
β Scribed by William M. Gelbart; Paul R. Stannard; Mark L. Elert
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 335 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
Abstract
In the localβmode description of vibrational structure, the nuclear coordinatesβunlike the usual normal coordinatesβdo not reflect the molecular symmetry. Accordingly, the localβmode product wave functions must be symmetry adapted. We discuss this simple procedure in light of its implications for the localization of vibrational energy and the dissociation limits of molecular excited states. These properties are in turn related to the separability of the total nuclear Hamiltonian and to the different ways in which the vibrational anharmonicity is βabsorbedβ by the local and normal coordinates.
π SIMILAR VOLUMES
The effective rotational Hamiltonians of the local mode states are derived for XY,, XY, and XY4 molecules by averaging the vibration-rotation Hamiltonians using the corresponding local mode vibrational wavefunctions. The results indicate that in a local mode vibrational state the molecular symmetry