摘要
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^(39)K^7Li 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.
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^(39)K^7Li 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.
基金
supported by the Young Scientists Fund of the National Natural Science Foundation of China(Grant No.61701515)
the China Postdoctoral Science Foundation(Grant No.2017M613367)
