Abstract
The first accurate studies on the vibrational spectroscopic constants and the corresponding full vibrational energy spectra of some electronic states of diatomic molecular ions XY+ were performed using algebraic method(AM). The AM is applied on the X1Σ+ state of BeH+, the X2Σ+ state of CO+, the X2Πg state of F2+, the A2Πu state of O2+ and the X2Σg+ state of Li2+. The results show that AM can generate accurate vibrational spectroscopic constants as well as accurate full vibrational energy spectra by using some accurate experimental vibrational energies, and that the AM vibrational energies are better than other theoretical data.
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