Abstract
In addition to the algebraic method (AM) (Sun et al 2002 J. Mol. Spectrosc.215 93) that was proposed to generate accurate full vibrational energies for a stable diatomic electronic state that has regular (Morse-like) potentials, a parameter-free formula is suggested in this work in order to study the high-lying vibrational spectra and dissociation limits of four electronic states of Kr2+ and Xe2+ diatomic ions. Those reliable AM energies EυAM of high-lying vibrational states and dissociation limits DLAM for each electronic state that we have predicted in this study were probably difficult to obtain experimentally or theoretically before.
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