Energy level schemes of fN electronic configurations for the di-, tri-, and tetravalent lanthanides and actinides in a free state

The energy level diagrams are theoretically constructed for the di-, tri-, tetravalent lanthanide and actinide ions, using the Hartree-Fock calculated parameters of the Coulomb and spin-orbit interactions within fN (N=1…13) electron configurations. These diagrams are analogous to Dieke's diagram, which was obtained experimentally. They can be used for an analysis of the optical spectra of all considered groups of ions in various environments. Systematic variation of some prominent energy levels (especially those ones with a potential for emission transitions) along the isoelectronic 4f/5f ions is considered.