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- Title
An Essential Approach to the Architecture of Diatomic Molecules: 1. Basic Theory.
- Authors
Yarman, T.
- Abstract
We consider the quantum-mechanical description of a diatomic molecule of electronic mass m0e, internuclear distance R0, and total electronic energy E0e. We apply to it the Born-Oppenheimer approximation, together with the relation E0em0eR0² ∼ h² (which we established previously), written for the electronic description (with fixed nuclei). Our approach yields an essential relationship for T0, the classical vibration period, at the total electronic energy E0e; i.e., T0 = [4π²/(√n1n2h)] √gM0meR0² Here, M0 is the reduced mass of the nuclei; me is the mass of the electron; g is a dimensionless and relativistically invariant coefficient, roughly around unity (this quantity is associated with the particular electronic structure under consideration; thus, it remains practically the same for bonds bearing similar electronic configurations); and n1 and n2 are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule in hand; because of quantum defects, they are not integer numbers. The above relationship holds generally, although the quantum numbers n1 and n2 need to be refined. This task is undertaken in our next article, yielding a whole new systematization regarding all diatomic molecules.
- Subjects
DIATOMIC molecules; MOLECULES; ELECTRONICS; BONDS (Finance); PARTICLES (Nuclear physics); CATHODE rays
- Publication
Optics & Spectroscopy, 2004, Vol 97, Issue 5, p683
- ISSN
0030-400X
- Publication type
Article
- DOI
10.1134/1.1828616