Analytical Self-Consistent Field Calculations forMn3+and Its Excited Configurations

Analytical self-consistent field functions were calculated for the ${\mathrm{Mn}}^{3+}$ ground state, and for several ${\mathrm{Mn}}^{3+}$ excited configurations with two and three open shells of different symmetries. The cusp condition is precisely satisfied. The deviations from the nodal condition for the radial functions $P_{i\lambda }\mathrm{}\left(r\right)\mathrm{}$ never exceeded 0.00010. The energy levels of the three-open-shell states, calculated in this work, have been neither measured nor calculated before.