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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.
Koga et al. (Sat,) studied this question.