Tolga YARMAN, Prof. Dr.

THE ARCHITECTURE OF DIATOMIC MOLECULES

PART II: STUDY OF HYDROGEN MOLECULE’S ELECTRONIC VIBRATIONAL DATA

Tolga Yarman

Işık University

Maslak, Istanbul

March 2003

ABSTRACT

In Part I of this work, we established that, the vibration period T of a diatomic molecule, can be expressed as T =[] , where  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 will validate this relationship, chiefly on the basis of vibrational data of H₂ molecule’s electronic states. This, basically yields, the elucidation of the complete set of H₂ spectroscopic data. The composite quantum number n₁n₂ along our finding, is briefly speaking nothing but the ratio of the internuclear distance r at the given electronic state, to the internuclear distance r₀ at the ground state, provided that these two states are configured similarly.

This makes that for electronic states configured alike, for which g is expected to remain the same, T² versus r³, should exhibit a linear behaviour.

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UMA - J Physics - T Yarman - 02.pdf