Studies on the Relation between the Experimental Vibrational Energy Spectra and the Full Vibrational Energy Spectra of Diatomic Molecular System

The relation of the algebraic method(AM) for full vibrational energy spectra with accurate vibrational spectroscopic constants of diatomic molecules and their ions to the experimental vibrational energy spectra taken as a required inputting vibrational energies in this method is definitely analyzed,taking X1Σ state of BeD+ and X2Σ state of 13CO+ as an example in this paper. The fact that slightly different experimental vibrational energy spectra are likely to lead to dramatically different vibrational energy spectra of AM is considered,as far as the same electronic state of a diatomic molecule or ion is concerned. All the results show that the reliability of AM vibrational energy spectra is dependent upon the accuracy of experimental vibrational energy spectra,moreover,and AM is a effective judgement criterion to decide the accuracy of the known vibrational energy spectra.