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Application of the Padé approximations to calculation of rotational energies of a triatomic linear molecule

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Abstract

A possibility of applying the Padé approximations to calculation of rotational-level energies of degenerate vibrational states is studied for linear molecules with various quantum numbers of the vibrational angular momentum 1. The calculations of rotational energy levels for the CO 2 molecule show that the Padé form has a better predictability as compared to a power series. Spectroscopic constants of the Padé approximations for the vibrational states (0400, 0420, 0440), (1400, 1420, 1440), (1510, 1530, 1550), and (0600, 0620, 0640, 0660) for the CO 2 molecule are determined.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 54–57, September, 2006.

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Voitsekhovskaya, O.K., Kalashnikov, A.S. & Cherepanov, V.N. Application of the Padé approximations to calculation of rotational energies of a triatomic linear molecule. Russ Phys J 49, 960–963 (2006). https://doi.org/10.1007/s11182-006-0209-3

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  • DOI: https://doi.org/10.1007/s11182-006-0209-3

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