College of Science

The partitioning technique has been used to analyze the three and four electron systems into three-pairs electronic wave functions for Li-like ions (Li, Be⁺, B⁺⁺) and six-pairs electronic wave functions for Be-like ions (Li^-, Be, B⁺) by using Hartree-Fock wave functions of Clementi and Rotti.In this work the atomic scattering factor f(s) for K-shell and total atom for three and four electron systems are studied.

A systematic study of the non-relativistic Hartree-Fock method and its relativistic version, Dirac-Fock method for the average of configuration have been presented. In the non-relativistic case, a fully derivation of the Hartree-Fock equations were presented and relativistic corrections (mass-velocity, Darwin and spin-orbit terms) are treated as first-order perturbation.

        A complete computer aided design (CAD) by using optimization methods for the ion optical systems have been developed, by mixing the dynamic programming procedure and artificial intelligence technique. The relative spherical and chromatic aberrations coefficients were obtained according to figure of merit for the following optimized optical systems: