Several attempts have been formulated over the years to obtain an accurate description of exact kinetic energy density . For solid-state systems, the formulation of adequately accurate KED has been achieved . However, an accurate KED for atomic and molecular systems which produces atomic shell structures via self-consistent field calculation is lacking . Almost all approximations of KED are based on the Thomas-Fermi model . For solid state systems generalized-gradient approximations (GGA) , meta-GGA , conjoint gradient correction approach , as well as non-local response-based approaches enjoyed some success. Two points weighted density approximation of KED and bi-functional-based methods are also being developed at present . The other related quantity essential to self-consistently compute correct electron density is Pauli potential . This quantity has long been associated with proper electronic shell structure . Recently, shell-structure-based functionals are also showing promises .