Studies on full vibrational spectra and dissociation energies of some diatomic molecular electronic states using algebraic approaches

An algebraic energy method (AEM) is suggested as an alternative theoretical approach to generate molecular dissociation energy De's. The AEM is used to evaluate accurate full vibrational energy spectra {E-v} and De in this study for 14 diatomic electronic states of Li-2, Na-2, Rb-2, K-2 and Sr-2 molecules: the 1 (1)Pi(g), a(3)Sigma(u)(+), 1 (3)Delta(g), and 2(3)Delta(g) states of Li-2; the X(1)Sigma(g)(+), 6(1)Sigma(g)(+), 1(3)Delta(g) and 2(3)Delta(g) states of Na-2; the X(1)Sigma(g)(+) and a(3)Sigma(u)(+) states of K-2; the X(1)Sigma(g)(+) and 1 (1)Pi(g) states of Rb-2 and the X(1)Sigma(g)(+) state of Sr-2 molecule. Studies show that present vibrational energies in the full spectrum {E-v} are accurate, and the AEM D-e have an accuracy better than one percent when they are compared with experimental dissociation energies. The AEM can generate reliable De's for electronic states whose molecular dissociation energies may be difficult to obtain experimentally and/or theoretically.