Auseful working discription of the electronic structure in
atoms or ions is provid by the independent particle
model.The analysis is applied here to the ground stste of
Li. By partitioning the second order density as proposed
by (Banyard and Youngman, 1987) (Valley and Alley,
2002).
The prime example of this search is HF treatment. HF
theory is the use of asingle-determinant wave function ?
which is formed from a set of occupied spin orbitals x1, x2
, x3 , ……..,x n (Thakkarjit and Vedene, 1978)
Where n is the number of electrons. A is a normalization
constsnt and the diagonal element product of determinent
to saatisfied explicitiy in eq.1.
Xn is the doublet spin eigenfunction and the functional