### Abstract

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.

Original language | English |
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Pages (from-to) | 3349-3354 |

Number of pages | 6 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 59 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1999 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

Nagy, Á., Liu, S., & Parr, R. G. (1999). Density-functional formulas for atomic electronic energy components in terms of moments of the electron density.

*Physical Review A - Atomic, Molecular, and Optical Physics*,*59*(5), 3349-3354. https://doi.org/10.1103/PhysRevA.59.3349