A simple scaling law between the total energy of a free atom and its atomic number
arXiv:physics/9912003
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.
arXiv comment5 pages, 3 figures