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arxiv: physics/9912003 · v1 · pith:ACCS6GX3new · submitted 1999-12-02 · ⚛️ physics.chem-ph · physics.atom-ph· physics.comp-ph· physics.pop-ph· quant-ph

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

classification ⚛️ physics.chem-ph physics.atom-phphysics.comp-phphysics.pop-phquant-ph
keywords atomicatomenergyfreenumbersimpletotalapproximate
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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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