A complete 4f{sup n} energy level diagram for all trivalent lanthanide ions

We describe the calculations of the 4f{sup n} energy levels, reduced matrix elements for 4f{sup n}-4f{sup n} transitions and the simulation of absorption and emission spectra. A complete 4f{sup n} energy level diagram is calculated for all trivalent lanthanide ions in LaF{sub 3}. The calculated energy levels are compared with experimentally obtained energies. For Ce, Pr, Nd, Eu, Gd, Ho, Er, Tm and Yb many, and in some cases all, energy levels have been observed. This work provides a starting point for future investigation of as yet unobserved VUV energy levels.