Analysis of experimental data for the first hexad {(040), (120), (200), (002), (021), (101)} of H2O molecule interacting states

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    Abstract

    A new theoretical model of an effective Hamiltonian for nonrigid H2X-type molecules, based on the generating function approach, is applied to the experimental energy levels (R.A. Toth, Appl. Opt. 33 (1994) 4851-4867) of the first hexad of interacting states of H2O. The results of simultaneous fitting rotational levels of the six vibrational states of H2O up to J= 8, up to J = 10, and up to J = 15 are discussed. The experimental energy levels for J ≤ 8, for J ≤ 10, and for J ≤ 15 are fitted with an average discrepancy σ = 3.9 x 10-3 cm-1, σ = 6.1 x 10-3 cm-1 and σ = 10.5 x 10-3 cm-1, respectively. In the final fitting of 749 energy levels the additional new experimental energies were used and in this case σ = 13.6 x 10-3 cm-1. The influence of interaction between the first and second hexads of H2O molecule is also discussed.

    Original languageEnglish
    Pages (from-to)39-53
    Number of pages15
    JournalJournal of Molecular Structure
    Volume442
    Issue number1-3
    DOIs
    Publication statusPublished - 3 Feb 1998

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    Electron energy levels
    Theoretical Models
    energy levels
    Molecules
    molecules
    Hamiltonians
    vibrational states
    interactions
    energy

    Keywords

    • Energy levels
    • Vibration-rotation
    • Water

    ASJC Scopus subject areas

    • Structural Biology
    • Organic Chemistry
    • Physical and Theoretical Chemistry
    • Spectroscopy
    • Atomic and Molecular Physics, and Optics

    Cite this

    @article{c88d5fc174fc418899769dffd6bff422,
    title = "Analysis of experimental data for the first hexad {(040), (120), (200), (002), (021), (101)} of H2O molecule interacting states",
    abstract = "A new theoretical model of an effective Hamiltonian for nonrigid H2X-type molecules, based on the generating function approach, is applied to the experimental energy levels (R.A. Toth, Appl. Opt. 33 (1994) 4851-4867) of the first hexad of interacting states of H2O. The results of simultaneous fitting rotational levels of the six vibrational states of H2O up to J= 8, up to J = 10, and up to J = 15 are discussed. The experimental energy levels for J ≤ 8, for J ≤ 10, and for J ≤ 15 are fitted with an average discrepancy σ = 3.9 x 10-3 cm-1, σ = 6.1 x 10-3 cm-1 and σ = 10.5 x 10-3 cm-1, respectively. In the final fitting of 749 energy levels the additional new experimental energies were used and in this case σ = 13.6 x 10-3 cm-1. The influence of interaction between the first and second hexads of H2O molecule is also discussed.",
    keywords = "Energy levels, Vibration-rotation, Water",
    author = "Starikov, {V. I.} and Mikha{\"i}lenko, {Semen Nikolaevich}",
    year = "1998",
    month = "2",
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    doi = "10.1016/S0022-2860(97)00188-9",
    language = "English",
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    journal = "Journal of Molecular Structure",
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    TY - JOUR

    T1 - Analysis of experimental data for the first hexad {(040), (120), (200), (002), (021), (101)} of H2O molecule interacting states

    AU - Starikov, V. I.

    AU - Mikhaïlenko, Semen Nikolaevich

    PY - 1998/2/3

    Y1 - 1998/2/3

    N2 - A new theoretical model of an effective Hamiltonian for nonrigid H2X-type molecules, based on the generating function approach, is applied to the experimental energy levels (R.A. Toth, Appl. Opt. 33 (1994) 4851-4867) of the first hexad of interacting states of H2O. The results of simultaneous fitting rotational levels of the six vibrational states of H2O up to J= 8, up to J = 10, and up to J = 15 are discussed. The experimental energy levels for J ≤ 8, for J ≤ 10, and for J ≤ 15 are fitted with an average discrepancy σ = 3.9 x 10-3 cm-1, σ = 6.1 x 10-3 cm-1 and σ = 10.5 x 10-3 cm-1, respectively. In the final fitting of 749 energy levels the additional new experimental energies were used and in this case σ = 13.6 x 10-3 cm-1. The influence of interaction between the first and second hexads of H2O molecule is also discussed.

    AB - A new theoretical model of an effective Hamiltonian for nonrigid H2X-type molecules, based on the generating function approach, is applied to the experimental energy levels (R.A. Toth, Appl. Opt. 33 (1994) 4851-4867) of the first hexad of interacting states of H2O. The results of simultaneous fitting rotational levels of the six vibrational states of H2O up to J= 8, up to J = 10, and up to J = 15 are discussed. The experimental energy levels for J ≤ 8, for J ≤ 10, and for J ≤ 15 are fitted with an average discrepancy σ = 3.9 x 10-3 cm-1, σ = 6.1 x 10-3 cm-1 and σ = 10.5 x 10-3 cm-1, respectively. In the final fitting of 749 energy levels the additional new experimental energies were used and in this case σ = 13.6 x 10-3 cm-1. The influence of interaction between the first and second hexads of H2O molecule is also discussed.

    KW - Energy levels

    KW - Vibration-rotation

    KW - Water

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