The widely used Roothaan-Hartree-Fock wave functions of Clementi and Roetti [At. Data Nucl. Data Tables 14, 177 (1974)] for the atoms from He through Xe are improved by reoptimization of the exponents of the Slater-type basis functions. The largest improvement in the energy is 0.053 hartree for Cd.
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Koga et al. (1993) studied this question.