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A simple scaling law between the total energy of a free atom and its atomic number

W. T. Geng
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Abstract

A simple, approximate relation is found between the total energy of a free atom and its atomic number: E ~= -Z^{2.411}. The existence of this index is inherent in the Coulomb and many-body nature of the electron-electron interaction in the atomic system and cannot be fabricated from the existing fundamental physical constants.

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W. T. Geng. 1999-12-02. A simple scaling law between the total energy of a free atom and its atomic number. https://arxiv.org/abs/physics/9912003

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