Elucidation of the complete set of H2 electronic states? vibrational data

We have previously established that, the vibration period T of a diatomic molecule, can be expressed as T=[4π 2 /( n i n j h)] g M 0 m e r 2 , where M 0 is the reduced mass of the nuclei, m e the mass of the electron , r the internuclear distance of the molecule at the given electronic state, h the Planck Constant , and g a dimensionless and relativistically invariant coefficient , which appears to be a characteristic of the electronic configuration of the molecule. Herein we validate this relationship, chiefly on the basis of vibrational data of H 2 molecule's electronic states , and achieve its calibration , vis-a-vis the quantum numbers that it is to involve. This, basically yields, the elucidation of the complete set of H 2 spectroscopic data . Thus, the composite quantum number n 1 n 2 along our finding is nothing but the ratio of the internuclear distance r at the given electronic state, to the internuclear distance r 0 at the ground state. This makes that for electronic states configured alike, for which g is expected to remain the same, T 2 versus r 3 , should exhibit a linear behavior . Our approach can well be applied to other molecules.