“…Energies and electronic structures were obtained by solving the Kohn-Sham equations self-consistently using the PBE1PBE hybrid functional potential [47][48][49] with the LanL2DZ basis set [50,51], in which core electrons are replaced by an effective core and only Zn 2+ (4s, 3d, 4p), Se 2− (4s, 4p), Mn 2+ (3s, 3p, 4s, 3d), and H (1s) atomic orbitals are described with explicit basis functions. This computational scheme has been successful in describing the electronic structures of Zn 1−x T M x O (where TM = Co 2+ , Mn 2+ ) [43,52,53], Cd 1−x Mn x S [54], and Cd 1−x Mn x Se [55] nanocrystals. Convergence to the correct spin configuration was determined by analysis of the Mulliken spin density on each of the Mn 2+ dopants.…”