Parametrized Slater Modified Hartree-Fock Method Applied to Actinide Ions

A Slater modified Hartree-Fock calculation is applied to several actinide ions. The coefficient of the Slater free electron exchange potential is treated as a parameter which is evaluated by matching a calculated $4f$ orbital of Pr⁺³ to a Hartree-Fock $4f$ orbital. The parameter is then used in the calculation of orbitals for Th⁺², U⁺⁴, Np⁺⁴, and the trivalent ions from Pa⁺³ to Cf⁺³. The valence orbitals are used to calculate the matrix elements 〈r²〉, 〈r⁴〉, 〈r⁶〉, 〈r^-3〉, ζ, F², F⁴, and F⁶ which are presented in tabular form.