N-Dependence problem of local hardness parameter

The broader applicability of local hardness, [eta((r) over bar)] as a reliable intermolecular reactivity descriptor primarily depends on the removal of its 1/N (N, total number of electrons of the system) dependence. In this article an attempt is made to illustrate the problem of evaluating eta((r) over bar) by using rho(r) ( the electron density) or Nf((r) over bar) (Fukui function multiplied by N) as composite functions and a scheme is proposed to evaluate the local hardness values.