Comparison of SDL and LMC measures of complexity: Atoms as a testbed

The simple   measure of complexity Γα,βΓα,β of Shiner, Davison and Landsberg (SDL) and the statistical one C, according to López-Ruiz, Mancini and Calbet (LMC), are compared in atoms as functions of the atomic number Z  . Shell effects i.e. local minima at the closed shells atoms are observed, as well as certain qualitative trends of Γα,β(Z)Γα,β(Z) and C(Z)C(Z). If we impose the condition that Γ and C behave similarly as functions of Z, then we can conclude that complexity increases with Z   and for atoms the strength of disorder is α≃0α≃0 and order is β≃4β≃4.