THE BOHR ATOM WITH TWO ELECTRONS

Loading...
Thumbnail Image

Date

1960

Journal Title

Journal ISSN

Volume Title

Publisher

Ohio State University

Research Projects

Organizational Units

Journal Issue

Abstract

“In a search for a good first-approximation model for an atom with more than one electron, a Bohr model was constructed for a two-electron system in which the angular momenta of the electrons are arbitrarily fixed and the electron-electron repulsion appears in terms of an explicit variable, $\beta$. The value of $\beta$ id set equal to its most probable value according to a Gibbs (exponential) distribution over the surface of the sphere described by the two electrons with equal radii. These conditions fix the energy and radius, leaving no adjustable parameters. The calculated ionization energies agree well with observed values and the radii agree with Hartree-Fock calculations. The method can be extended to excited states.”

Description

Author Institution: Polytechnic Institute of Brooklyn

Keywords

Citation