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Analysis of the Vibrational Spectra of Polyatomic Molecules Using an Algebraic Model: II. An Application to AB4

並列摘要


In this paper, the stretching vibrational spectra of some AB4 tetrahedral molecules are reported on up to the first overtone by using a one-dimensional algebraic model for the first time. The model Hamiltonian is constructed using Casimir and Majorana operators, which seems to describe the A-B stretching modes accurately using a relatively smaller number of well-defined parameters. This analysis gives a general approach for studying the vibrational spectra of any tetrahedral molecules with smaller standard deviations from the experimental results.

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參考文獻


J. Choudhury, N. K. Sarkar, S. G. Roy, and R. Bhattacharje, Chinese J. Phys. 50, 450 (2012).
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F. Iachello, Chem. Phys. Lett. 78, 581 (1981).
F. Iachello and S. Oss, Eur. Phys. J. D 19, 307 (2002). doi: 10.1007/s10053-002-8879-z
F. Iachello, R. D. Levine, Algebraic Theory of Molecules, Oxford University Press (Oxford, 1995).

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