First principles calculations of rare earth (RE)-doped LaSi 3 N 5 host lattice are performed to obtain the electronic structure, the band gap (BG), and the character of electronic transitions.Doping with both trivalent and bivalent RE cations is inspected. RE 4f states form two bands of occupied and unoccupied states separated by ~5 eV. In RE 3+ -doped compounds 4f states are shifted by ~6 eV to more negative energies compared with RE 2+ -compounds. This stabilization causes that RE 3+ 4f bands are in a different position relative to the valence band and the conduction band than RE 2+ 4f bands and therefore different electronic transitions apply. BG of RE 3+ -compounds decreases from ~4.6 eV (Ce) to ~0.5 eV (Eu). Except for Ce 3+ , exhibiting the 4f→5d transition, other RE 3+ -compounds show the charge transfer of the p → 4f character. BG of RE 2+ -compounds increases from ~0.80 eV (Ce, Pr) to ~0.95 eV (Nd, Pm), ~1.43 eV (Sm), and ~3.28 eV (Eu) and the electronic transition is of the 4f→5d character. The energy level scheme constructed from ab initio calculated electronic structures agrees well with the experimental energy level diagram. The agreement demonstrates the reliability of the hybrid functional HSE06 to describe correctly bands of nonbonding RE 4f electrons.
Keywords:4f states in lanthanides, LaSi3N5 host lattice, ab initio calculation, 4f energy level scheme, band gaps Pm, Sm, Eu, Gd, Tb, Dy, Ho) in good agreement with experiments. Another way to improve the standard DFT is to modify the intra-atomic Coulomb interaction through the LDA+U approach [13][14][15]. It was shown that this approach allowed for a correct treatment of electronic states in Ce 2 O 3 [16] and in CeO 2 [17]. The physical idea behind LDA+U or GGA+U scheme comes from Hubbard Hamiltonian. In the practical implementations, the onsite two-electron integrals are expressed in terms of two parameters. These are the Hubbard