A semiclassical formula for the term energy of a many-electron atom
- 14 May 1981
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 14 (9) , 1373-1386
- https://doi.org/10.1088/0022-3700/14/9/004
Abstract
A semiclassical formulation for the term energy of a many-electron atom is presented which includes gross structure, fine structure, core polarisation and core penetration effects. A very simple model combining perturbed Keplerian orbits with the Bohr-Sommerfeld-Wilson quantisation hypothesis yields an explicit formula which, in appropriate limits, reduces to the familiar core polarisability and quantum defect parametrisations. The formula also provides a new parametrisation in terms of an effective core charge within an effective core radius, which has been applied to predict higher term values in the 3sng states of Si III.Keywords
This publication has 15 references indexed in Scilit:
- The semiclassical two-electron atom and the old quantum theoryJournal of Physics B: Atomic and Molecular Physics, 1980
- Semiclassical perturbation theory for energy levels of planetary atomsJournal of Physics B: Atomic and Molecular Physics, 1980
- Accurate Semi-Empirical Formulae for the Energy Structure of Li I-like SpectraPhysica Scripta, 1979
- The Transitions 3s-3p and 3p-3d, and the Ionization Energy in the Na I Iso-electronic SequencePhysica Scripta, 1978
- Erratum: Mean values of powers of the radius for hydrogenic electron orbitsPhysical Review A, 1976
- Mean values of powers of the radius for hydrogenic electron orbitsPhysical Review A, 1974
- Atomic SpectraPublished by Springer Nature ,1964
- On the Mean Value of
r
s
for Keplerian SystemsProceedings of the National Academy of Sciences, 1937
- Zur Theorie des WasserstoffatomsThe European Physical Journal A, 1935
- The Wave Mechanics of an Atom with a non-Coulomb Central Field. Part III. Term Values and Intensities in Series in Optical SpectraMathematical Proceedings of the Cambridge Philosophical Society, 1928