Accurate studies on vibrational energies and dissociation energies of diatomic molecules

Based on LeRoy and Bernstein's vibrational energy expression near dissociation limit,a parameter-free analytical formula for dissociation energies of diatomic molecules is suggested recently by Weiguo Sun et al.Using the algebraic method(AM) presented in our previous study,the new formula is applied to study the molecular dissociation energies of some electronic states.The results show that AM dissociation energies have excellent agreement with experimental dissociation data,and thereby providing a new physical approach to generate accurate vibrational energies and dissociation energies for electronic states of diatomic molecules.