Evaluation the Energy of the (1s2 ns ) state of the Li atom and Li-like ions

Abstract

The aim of this work is the evaluation of the energy, repulsion energy 〈vee〉,attraction energy 〈ven〉, the potential energy 〈V〉,total energy 〈E〉,one-electron expectation value and inter –electron expectation value (where k is an integer takes the value -2,-1,1,2)for the ground state and for the different excited states (1s2 ns) and(n=3,4,5) of Li atom and Li-like ions such as Be+1,B +2 and C+3by using Hartree –Fock approximation in position space. A systematic study of the differences in electronic distributions between the singlet and triplet states are carried out . Finally all the studied properties are calculated using atomic units and using software MATHCAD 2001i.