EVALUTION OF ATOMIC PROPERTIES FOR LI-LIKE IONS SYSTEMS USING HARTREE-FOCK AND CONFIGURATION INTERACTION METHODS
ABSTRACT In this study, we investigated the effect of electron correlation for three-electrons systems ,on the K shell , KL(1S)-shells (singlet states) and KL(3S)-shells (triplet states) in the ground state of Li-like ions (Li atom, Be+ ion, B+2 ion, and C+3 ion). Among the atomic properties, are the inter-particle distribution function f(r12) for the Hartree -Fock (HF) and configuration interaction (CI) wave function approximations. The one-particle radial density distribution function D(r) expected values for the two techniques and ( <r1 n> , <r12 n>) where n is an integer number from -2 to 2 ,the standard deviation r 1 and r 12 .The properties of the energies expectation values, repulsion potential energy < Vee >, attractive potential energy< Ven > , total potential energy <V> , kinetic energy <T> and total energy <E>. In conclusion increasing the atomic number leads to an increase in all studied energies by increasing the amount of ionization of the studied elements with both approximations, and it was found that the CI is the closest to the practical values, because it takes into account the neglected electronic bonding by the HF method. Finally, the equations have been programmed in Mathematics 2015 and all calculations have been calculated in atomic units