文摘
The magnetism and the electronic structures of vacancy defects in rutile TiO<sub>2sub> crystals are calculated by using the first-principles projector augmented wave pseudopotential way. O single vacancy does not show magnetism. But, O divacancy has a magnetic moment of about 2.0 μ<sub>Bsub> each divacancy, which is primarily attributed to the Ti 3d states and the hybridization between the O 2p states and Ti 3d states. The origin of magnetism with Ti vacancy or divacancy is primarily attributed to the O 2p states. The mutual compensation mechanism in the Ti<sub>15sub>O<sub>31sub> system causes a magnetic moment drop to 1.2 μ<sub>Bsub>/supercell.