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  • 1.1.1. Free lanthanide ions: Electronic spectra and nature of wave functions1.1.2. Coulomb repulsion effects; 1.1.3. Spin-orbit coupling; 1.1.4. Crystal field splitting; 1.2. Theoretical description of optical behavior of lanthanides; 1.2.1. Optical transitions; 1.2.2. Judd-Ofelt theory; 1.3. Magnetism of lanthanide ions; 1.3.1. Magnetic properties of free lanthanide ions; 1.3.2. Ab initio description of electronic structure and magnetism in lanthanide complexes; 1.3.3. EPR g-tensor for lanthanide compounds.