Accurate Numerical Hartree–Fock Self-Consistent-Field Wave Functions for Rare-Earth Ions having 4fN6s Configuration

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Abstract
Accurate numerical Hartree–Fock (HF) self-consistent-field (SCF) wave functions have been obtained for Ce+(4f26s)4H, Pr+(4f36s)5I, Nd+(4f46s)6I, Pm+(4f56s)7H, Sm+(4f66s)8F, Eu+(4f76s)9S, Gd+(4f86s)8F, Tb+(4f96s)7H, Dy+(4f106s)6I, Ho+(4f116s)5I, and Er+(4f126s)4H rare-earth ions. In general, total energy values have an accuracy of seven significant digits. The virial theorem is satisfied to the minimum of six significant digits and the Pnl wave functions are self-consistent to at least five significant figures. Several HF parameters are also evaluated with these wave functions.