Studies on Rovibrational Energies of the Ground State of the HF Molecule

A new algebraic approach, referred to as AMr, is suggested to evaluate accurate rovibrational energies and constants based on the algebraic method (AM) presented in Sun's previous study for full vibrational energies and the dissociation energy of a diatomic system. Using known limited accurate experimental rovibrational energies of a given vibrational band, the AMr is applied to study the rovibrational energies of the ground electronic state of the HF molecule in this work. The results show that the AMr rovibrational energies have excellent agreement with the experimental data, and the method has generated reliable energies for the high-lying rovibrational excited states, which may be difficult to obtain experimentally or theoretically.