Abstract
A simple model extending Lie algebraic techniques is applied to the analysis of thermodynamic vibrational properties of diatomic molecules. Local anharmonic effects are described by means of a Morse-like potential and the corresponding anharmonic bosons are associated with the SU(2) algebra. The total number of anharmonic bosons, fixed by the potential shape, is determined for a large number of diatomic molecules. A vibrational high-temperature partition function and the related thermodynamic functions are derived and studied in terms of the parameters of the model. The idea of a critical temperature is introduced in relation to the specific heat. A physical interpretation in terms of a quantum deformation associated with the model is given.
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From Yadernaya Fizika, Vol. 68, No. 10, 2005, pp. 1689–1697.
Original English Text Copyright © 2005 by Angelova, Frank.
The text was submitted by the authors in English.
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Angelova, M., Frank, A. Algebraic approach to thermodynamic properties of diatomic molecules. Phys. Atom. Nuclei 68, 1625–1633 (2005). https://doi.org/10.1134/1.2121908
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DOI: https://doi.org/10.1134/1.2121908