Elucidation of the complete set of H_2 electronic states' vibrational data

摘要

We have previously established that, the vibration period T of a diatomic molecule, can be expressed as T = [4π~2/( (n_in_j)~(1/2) h)] (g M_0m_e)~(1/2)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 relaticistically 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_1n_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.