Description of vibration-rotation energies of nonrigid triatomic molecules using the generating function method. Bending states and second triad of water

V. I. Starikov, S. A. Tashkun, Vl G. Tyuterev

    Research output: Contribution to journalArticle

    42 Citations (Scopus)


    The generating function method previously developed is applied in this paper for fitting of the bending-rotational levels of the water molecule, where the standard power series expansion of the rotational Hamiltonian has a slow rate of convergence or even diverges. One of the possible extensions of the G-function is considered in some detail. Systematic comparisons are performed with the usual "semirigid model" of centrifugal distortion in asymmetric tops on the basis of least-squares fits to experimental energies. We adjusted the same set of sextic or octic centrifugal distortion parameters to the same experimental data. Standard deviations of fitting and (obs-calc) are typically an order of magnitude better in the generating function method. Extrapolation to higher energy levels is improved as well.

    Original languageEnglish
    Pages (from-to)130-147
    Number of pages18
    JournalJournal of Molecular Spectroscopy
    Issue number1
    Publication statusPublished - 1992


    ASJC Scopus subject areas

    • Physical and Theoretical Chemistry
    • Spectroscopy
    • Atomic and Molecular Physics, and Optics

    Cite this