Phys. Rev. A 59, 3349–3354 (1999)Density-functional formulas for atomic electronic energy components in terms of moments of the electron densityReceived 16 November 1998; published in the issue dated May 1999 Reasoning from known identities arising from scaling considerations, formulas in terms of only the moments of the electron density, Mk=〈rkρ〉, 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 TS=∑k=14Ak(M-2/k)k and Ex=∑k=14Ck(M-1/k)k fit the neutral atoms He through Xe with standard deviations of 0.26% and 0.70%, respectively. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.3349
DOI:
10.1103/PhysRevA.59.3349
PACS:
31.15.Ew, 03.65.Db
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