A U(2) algebraic model is presented to describe stretching vibrations of XY n (n ϭ 2, 3, and 4) systems, where anharmonic interactions between the bond modes are considered. This model in a limit corresponds to an anharmonically coupled local-mode model. As an example, the model for a molecule XY 4
Symmetry-Adapted Algebraic Description of Stretching and Bending Vibrations of Ozone
✍ Scribed by F. Pérez-Bernal; J.M. Arias; A. Frank; R. Lemus; R. Bijker
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 403 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-2852
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✦ Synopsis
The vibrational excitations of ozone, including both bending and stretching vibrations, are studied in the framework of a symmetry-adapted algebraic approach. This method is based on the isomorphism between the U( 2) algebra and the one-dimensional Morse oscillator, and the introduction of point group symmetry techniques. The use of symmetryadapted interactions, which in the harmonic limit have a clear physical interpretation, makes it possible to systematically include higher-order terms and anharmonicities. A least-squares fit to all published experimental levels (up to 10 quanta) of 16 O 3 and 18 O 3 yields rms deviations of 2.5 and 1.0 cm 01 , respectively.
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The vibrational excitations of bent triatomic molecules, including both bending and stretching vibrations, are studied in the framework of the U(4) algebra. For the bent triatomic molecules H 2 O and H 2 S, the highly excited vibrational levels (up to 14) are obtained using the U(4) algebraic approa
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