Wave Functions and Transition Probabilities in Scaled Thomas-Fermi Ion Potentials

29 November 1965

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 140 (5A) , A1508-A1519
https://doi.org/10.1103/physrev.140.a1508

Abstract

A semiempirical method for computing atomic and ionic wave functions is described. The method uses a one-electron potential obtained from a scaled Thomas-Fermi ionic charge distribution. The scale factors are chosen to make the one-electron binding energies agree with experimental ionization potentials. A number of oscillator strengths have been evaluated and are found to agree well with results of alternative methods of calculation. The method has a wider range of applicability than that of Bates and Damgaard, and calculations are much shorter than those using the self-consistent-field methods.

This publication has 28 references indexed in Scilit:

Some Analytical Self-Consistent Field Functions and Dipole Transition Matrix Elements for Nitrogen and Oxygen and Their Ions.
The Astrophysical Journal, 1964
Accurate Analytical Self-Consistent Field Functions for Atoms. III. The $1 s^{2} 2 s^{m} 2 p^{n}$ States of Nitrogen and Oxygen and Their Ions
Physical Review B, 1963
On a screening theory of atomic spectra
Annals of Physics, 1959
Radial wave functions with exchange for Va²⁺, Kr and Ag⁺
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958
Atomic Energy Levels for the Thomas-Fermi and Thomas-Fermi-Dirac Potential
Physical Review B, 1955
A Simplification of the Hartree-Fock Method
Physical Review B, 1951
Self-consistent field, including exchange and superposition of configurations, with some results for oxygen
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1939
Note on Absolute Multiplet Strengths
The Astrophysical Journal, 1936
A theoretical investigation of the oxygen atom in various states of ionisation
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1933
Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der Elemente
The European Physical Journal A, 1928