Radial distribution function and local momentum for H and He at numerical Hartree–Fock level.
Ionization potential as derived from local theory , Koopmans’ theorem , and experiment .
Local electron momentum (logarithmic scale) vs the radial distribution function (linear scale) for the initial and final elements of the fifth row of the Periodic Table (Ref. 28).
The shell structure of the calcium atom as given by the local momentum. The shells are denoted by capital letters and the corresponding number of electrons are given below the electronic population curve, (in gray). The inflection points that separate each shell are given by the circles.
Local electron momentum for closed shells.
Valence local kinetic energies and the ionization energies from Koopmans’ theorem, , and experimental ionization energies (Ref. 46).
Shell radii and electron populations at the HF level as given by the inflection points of the local momentum, as given by Eq. (9) (first row), from the local minima in ELF (second row; Ref. 53) and KSKE density by Navarrete-Lopez et al. (third row; Ref. 54), and by Schmider and Becke (fourth row; Ref. 55). is the electron density enclosed at a distance of 10 a.u.
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