Systematic Study of Information Measures, Statistical Complexity and Atomic Structure Properties

Abstract

We present a comparative study of several information and statistical complexity measures in order to examine a possible correlation with certain experimental properties of atomic structure. Comparisons are also carried out quantitatively using Pearson correlation coefficient. In particular, it is shown that Fisher information in momentum space is very sensitive to shell effects. It is also seen that three measures expressed in momentum space that is Fisher information, Fisher-Shannon plane and LMC complexity are associated with atomic radius, ionization energy, electronegativity, and atomic dipole polarizability. Our results indicate that a momentum space treatment of atomic periodicity is superior to a position space one. Finally we present a relation that emerges between Fisher information and the second moment of the probability distribution in momentum space i.e. an energy functional of interest in (e,2e) experiments.