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=[4π2/(ninjh)]gM0mer2, where M0 is the reduced mass of the nuclei, me 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 H2 moleculeʹs electronic states, and achieve its calibration, vis-á-vis the quantum numbers that it is to involve. This, basically yields, the elucidation of the complete set of H2 spectroscopic data. Thus, the composite quantum number n1n2 along our finding is nothing but the ratio of the internuclear distance r at the given electronic state, to the internuclear distance r0 at the ground state. This makes that for electronic states configured alike, for which g is expected to remain the same, T2 versus r3, should exhibit a linear behavior. Our approach can well be applied to other molecules.