Relativistic virial theorem for atoms |
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Authors: | Osamu Matsuoka Toshikatsu Koga |
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Institution: | (1) Department of Chemistry, Kyushu University, Ropponmatsu, Fukuoka 810-8560, Japan, JP;(2) Department of Applied Chemistry, Muroran Institute of Technology, Muroran, Hokkaido 050-8585, Japan, JP |
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Abstract: | A relativistic virial theorem is derived for atoms in a general manner. The virial ratio consists of the usual V/T term and a correction term W/T, where T, V, and W are the kinetic energy, the potential energy, and correction terms, respectively. Explicit forms of W are presented for four specific nuclear potential models. Numerical calculations for a uniform nuclear charge model show
that the magnitude of the correction term W/T increases with increasing atomic numbers and that it modifies the ratio V/T considerably for atoms with large atomic numbers in particular.
Received: 21 November 2000 / Accepted: 8 January 2001 / Published online: 3 April 2001 |
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Keywords: | : Virial theorem Relativistic Atom Nucleus model |
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