ISSN:
0020-7608
Keywords:
Computational Chemistry and Molecular Modeling
;
Atomic, Molecular and Optical Physics
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
Notes:
The scaling property of the relativistic total energy E (Z, N) established by Marconi and the writer for heavy positive ions with N electrons and atomic number Z is demonstrated, by setting up the self-consistent relativistic Thomas-Fermi equation in d dimensions, to be a special case of the scaling property \documentclass{article}\pagestyle{empty}\begin{document}$$ \begin{array}{*{20}c} {E_d (Z,N,\alpha ) = Z^{{{(4 + 4d - d^2 )} \mathord{\left/ {\vphantom {{(4 + 4d - d^2 )} {d(4 - d)}}} \right. \kern-\nulldelimiterspace} {d(4 - d)}}} F_d ({N \mathord{\left/ {\vphantom {N {Z;\alpha ^2 Z^{{4 \mathord{\left/ {\vphantom {4 {d(4 - d)}}} \right. \kern-\nulldelimiterspace} {d(4 - d)}}} }}} \right. \kern-\nulldelimiterspace} {Z;\alpha ^2 Z^{{4 \mathord{\left/ {\vphantom {4 {d(4 - d)}}} \right. \kern-\nulldelimiterspace} {d(4 - d)}}} }});} {d \ne 4,} \\ \end{array} $$\end{document} α being the fine structure constant.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/qua.560270508
