The interdependence of electronic energy, period of time, mass and internuclear distance displayed by any object, Part 2: Molecular derivation and application to chemically alike molecules

Abstract

This study, based on mere considerations induced by the Special Theory of Relativity, has previously established the following relationship between the "minimum electronic energy" Emin, and the related "classical vibration frequency" ω, in regards to electronic states of a given diatomic molecule: |Emin|=4π2M0gkω2Rmin2 Where M0 is the reduced mass of the molecule, Rmin the "internuclear distance" associated with ω, and gk a Lorentz invariant dimensionless coefficient, insuring the equality; it depends only on the electronic structure of the molecule; therefore for electronic states configured similarly, we expect the coefficient gk, to remain practically the same; it takes values, roughly around unity. The framework in question is interesting, given that, for alike electronic states of a given molecule, Emin versus M0ω2Rmin2, should behave linearly. This further, should allow the determination of gk, for the states in consideration. The expression is anyway valid for any diatomic molecule, along with a given gk. On the other hand, the "ground states" of bonds delineating chemical similarities, display "alike electronic configurations". This means that, gk for such bonds, should remain practically the same. Thus, regarding the ground states of such molecules, Emin versus M0ω2Rmin2 should further be expected to behave linearly (the quantities of concern, now being exclusively assigned to the ground states of the molecules in question). We check this prediction successfully for the entire body of diatomic molecules and calculate gk, for different "chemical families". The relationship we discover has got as much predictive power as that provided by the classical quantum mechanical tools; it is though incomparably simpler and faster. © 2011 Academic Journals.