“…The local electronic structures, viz., the energy levels of the atomic orbitals and the density of states (DOS) of Ce 3+ -doped Sr3AlO4F, were calculated by using the relativistic DV-X␣ method based on first-principles molecular orbitals (MO) approach [23][24][25][26]. On the basis of the crystal structure of Sr3AlO4F [20,21], the cluster models of [Ce(I)O8F2] −15 and [Ce(II)O6F2] −11 were built up for Ce 3+ -doped Sr3AlO4F corresponding to the point groups of D4 and Cs symmetry, respectively, in which the Ce 3+ ions are assumed to be randomly substituted for the two Sr ions.…”