Abstract
An algebraic method for rotational energies at a given vibrational state (AMr(v)) is proposed in this study in order to obtain unknown high-lying rovibrational energies. Applications of this method to the ground electronic state X 1Σ+ of CO and the excited state C 1Σ+ of 39K7Li molecules show the following: (1) the AMr(v) can give the rational upper limit J ¯ of a rotational quantum number of a diatomic electronic state; (2) the full AMr(v) rovibrational energies { E υJ } υ of given vibrational states not only reproduce all known experimental data excellently but also predict precisely the values of all high-lying rovibrational energies, which may not be available experimentally.
Published Version
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