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Instead of explaining the seven different f-orbital energies or five different d-orbital energies by parameters Anm〈rn〉 of the electrostatic ligand field model, we propose to classify the energy levels according to the actual one-electron energies and to interpret these quantities by the weak effects of σ antibonding on the partly filled shell. Calculations of the relative angular dependence Ξ2 of such effects are made in a simple model and compared with experimental data for nine- and eight-coordinated lanthanide compounds. The agreement is judged to be much more satisfactory than when the electrostatic model is applied, and the number of freely chosen parameters is much smaller.
rgensen et al. (Sun,) studied this question.