Electron binding energy for atoms : relativistic corrections
- 1 January 1982
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 43 (11) , 1599-1605
- https://doi.org/10.1051/jphys:0198200430110159900
Abstract
Within the statistical theory a nonrelativistic binding energy for an atom with an arbitrary degree of ionization has been found with inhomogeneity of electron density taken into account. Based on Schwinger's method and using the improved estimate of the electron density at the nucleus, the analytical dependence of the leading relativistic correction on the nuclear charge Z and electron number N is obtained. The relativistic correction ~ (αZ)4 is estimated in the noninteracting electron approach. A comparison with accurate data has shown that the analytical estimates obtained give the total binding energy of an atom within 1 % for 10 ≤ N ≤ Z ≤ 100Keywords
This publication has 8 references indexed in Scilit:
- Relativistic theory of binding energies of heavy positive ionsInternational Journal of Quantum Chemistry, 1981
- Energy levels, wavelengths, and transition probabilities of Cu-like ionsAtomic Data and Nuclear Data Tables, 1978
- On the nonrelativistic binding energy for positive ionsJournal de Physique, 1977
- Paзлoжeниe пo
1 Z для чapтpи-фoкoвcкoй и кoppeляциoннoй энepгии, peлятивиcтcкич пoпpaвoк, дипoльнoгo мaтpичнoгo элeмeнтaJournal of Quantitative Spectroscopy and Radiative Transfer, 1975 - Roothaan-Hartree-Fock atomic wavefunctionsAtomic Data and Nuclear Data Tables, 1974
- Non-relativistic theory of atomic and ionic binding energies for large atomic numberJournal of Physics B: Atomic and Molecular Physics, 1972
- Relativistic Z-Dependent Corrections to Atomic Energy LevelsPublished by Elsevier ,1969
- Relativistic Z-dependent theory of many-electron atomsAnnals of Physics, 1962