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This work was supported in part by Instituto Mexicano del Petróleo México.
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Article
An application of Green's functions to the study of the vibration-translation coupling of trapped oscillators in a linear chain
Article first published online: 19 OCT 2004
DOI: 10.1002/qua.560070206
Copyright © 1973 John Wiley & Sons, Inc.
Additional Information
How to Cite
Blaisten-Barojas, E. and Allavena, M. (1973), An application of Green's functions to the study of the vibration-translation coupling of trapped oscillators in a linear chain. International Journal of Quantum Chemistry, 7: 195–213. doi: 10.1002/qua.560070206
Publication History
- Issue published online: 19 OCT 2004
- Article first published online: 19 OCT 2004
- Manuscript Revised: 4 JUL 1972
- Manuscript Received: 14 SEP 1971
- Abstract
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Abstract
The Green functions and Kubo linear-response theory are used to calculate the absorption coefficient of a collection of diatomic molecules embedded in a one-dimensional lattice. The effect of the environment is restricted to the coupling between the molecular internal vibration and lattice vibrations. For the molecular oscillators, both harmonic and anharmonic models are considered. The absorption line shape is expressed in closed form whether the molecular frequency falls outside or within the allowed phonon frequency range. In both cases a frequency shift is found. In the anharmonic case there is a broadening of the absorption lines. Expressions for the shift and line width are given.