Abstract
The Fisher–Shannon information product and plane for atoms are presented analytically assuming Thomas–Fermi–Gáspár statistical model. A comparison with the Hartree–Fock densities reveals that the atomic shell structure is inadequately expressed information theoretically in the statistical model. The shape complexity measure of Lopez et al. is found to have a better large Z dependence than the one obtained from non-relativistic Hartree–Fock densities.
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