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Approximate ground-state solutions of the Hartree—Fock equations are given in analytic form for all atoms having 3≤Z≤13, and the ions of Mg+, Na+, Al+. The solutions are obtained by an iterative least-squares procedure for determining the optimum nonlinear parameters occurring in the trial wavefunctions. The accuracy is equal to or better than that obtained by standard numerical methods.
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Merts et al. (1963) studied this question.
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