Investigation of some atomic properties using complete sets of orthonormal orbitals in DIRAC equation

In this study, with help of nonrelativistic Hartree-Fock-Roothaan equations the Dirac-Hartree-Fock-Roothaan equations have been solved using Slater type spinor orbitals and complete orthonormal sets of relativistic spinor orbitals.The radial part and spherical parts of Slater type spinor orbitals and complete orthonormal sets of relativistic spinor orbitals are investigated. The matrix elements occurring in Dirac-Hartree-Fock-Roothaan equations have been obtained for Slater type spinor orbitals in case of integer and noninteger principal quantum number and complete orthonormal sets of relativistic spinor orbitals. The constructed computer programs have been used to investigate effect of the special relativity in atoms, physical properties of atoms and efficiency of used basis functions. The calculations have been performed for H-, He-, Be- like atoms. The obtained results have been compared with literature.