Oscillator strengths of hydrogen and oxygen diatomic molecules

Abstract

We introduce here a new concept, the “Ef” products, i.e. the products of the atomic energy levels by the corresponding oscillator strengths, which are observables in the Heisenberg's sense. These fundamental atomic quantities are quite available in the literature. It is shown that, by building up for each atom of the diatomic molecule an atomic matrix of the form (M) ^a _nl,n′l′ =(E _nl ·f _{nl→n′l′} ) one is able to obtain in a straightforward way the oscillator strength of the excited molecule,f _mol, from the equation defining the resultant molecular matrix [(M) ^a _{nl, n′l′} ]²={(M) ^m₍₂₎ } _nl,n′l′ . This concept has been applied to H₂ and O₂. Very good agreement between the values calculated in this paper and those given theoretically for H₂ using LCAO-MO-CI method and experimentally for O₂ by other authors is obtained.