Author(s): O.H. Mobarek
Article publication date: 1991-04-01
Vol. 9 No. 1 (yearly), pp. 63-78.
176
Keywords
Thomas-Fermi equation, exponential functions, negative ions
Abstract
The variational method is used to obtain an approximate solution to the Thomas-Fermi equation. Group of exponential functions are used in attempt to improve the desired results. This method eliminates the shortcomings of the exact solution, such as the behaviour of the electronic density far away and close 10 the nucleus. Also it enables us to use the Thomas-Fermi equation to treat the negative ions. The method has been tested by calculating the diamagnetic susceptibilities of the neutral atoms and the ions and comparing them with the experimental values and the Thomas-Fermi results.