Abstract
A relativistic correction to the Thomas-Fermi model of atoms is obtained by utilizing the variational solutions proposed by Csavinszky [Phys. Rev. 166 (1968) 53]. The relativistic effect appears important for heavier elements, and our correction improves the ionization energies more noticeably with an increasing atomic number. The radial expectation values are calculated and compared with Hartree-Fock values. The non-relativistic results for < r(2)> are slightly better, and our relativistic correction enhanced the expectation value of the potential energy < 1/r >. (C) 2019 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.