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

The simple measure of complexity Γα,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) and 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 ≃ 0 and order is β ≃ 4.