Reasoning from known identities arising from scaling considerations, formulas in terms of only the moments of the electron density, [Formula Presented] are developed for all energy components in the density-functional theory of the ground states of atoms. In particular, employing Hartree-Fock data for the first 54 atoms and many of their ions, it is demonstrated that formulas of the form [Formula Presented] and [Formula Presented] fit the neutral atoms He through Xe with standard deviations of 0.26% and 0.70%, respectively.
|Number of pages||6|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 1999|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics