Fisher–Shannon plane and statistical complexity of atoms

Using the Hartree–Fock non-relativistic wave functions in the position and momentum spaces, the statistical measure of complexity C  , due to López-Ruiz, Mancini, and Calbet for the neutral atoms as well as their monopositive and mononegative ions with atomic number Z=1–54Z=1–54 are reported. In C, given by the product of exponential power Shannon entropy and the average density, the latter is then replaced by the Fisher measure to obtain the Fisher–Shannon plane. Our numerical results suggest that in overall the Fisher–Shannon plane reproduces the trends given by C, with significantly enhanced sensitivity in the position, momentum and the product spaces in all neutral atoms and ions considered.