Information entropy and complexity measure in generalized Kratzer potential

Abstract

Shannon entropy (S), Fisher information (I) and a measure equivalent to Fisher-Shannon complexity (CIS) of a ro-vibrational state of diatomic molecules (O2, O2+, NO, NO+) with generalized Kratzer potential is analyzed. Exact analytical expression of Ir is derived for the arbitrary state, whereas the same could be done for Ip with {n,ℓ,m=0} state. It is found that shifting from neutral to the cationic system, Ir increases while Sr decreases, consistent with the interpretation of a localization in the probability distribution. Additionally, this study reveals that CIS increases with the number of nodes in a system.