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The classical Thomas-Fermi theory of the electrons in an atom is amended in a manner that produces continuity of the electron density ρ. This is done by imposing the constraint that ʃe-2kr [unk]2 ρ dr should be finite, with k determined by the nuclear cusp condition, followed or preceded by an optimum coordinate scaling. Electron densities and total energies are shown to be vastly improved.
Keywords: electronic structure, statistical model, density functional theory
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