We report first-principles calculations on mono-, di-, and tri-vacancies in group-III nitrides with clarifying two distinctive mechanisms in stabilization of the vacancy: Spin polarization due to exchange splitting of nitrogen-dangling bond states and electron transfer caused by breathing relaxation of cations. We also find that the significance of the two mechanisms strongly depends on the charge state of the vacancy and thus the Fermi-level position in the gap at which the charge state changes (the thermodynamic charge-state level) cannot be determined from single-electron levels at a certain charge state. Group IV elements such as Si and Ge are semiconductors in their condensed phases where the sp 3 hybridization forms a network of chemical bonds with the diamond structure. Pairs of group III and V elements are condensed to be compound semiconductors in an essentially identical manner. Defects such as the atomic vacancy strongly affect properties of host semiconductors by inducing deep levels in the energy gap. The deep level is generally localized in space, so that electron-electron interaction such as exchange interaction could be important. Yet experimental and theoretical efforts in the past [1][2][3] have clarified that covalency in those materials is significant determining material properties and rebonding of neighboring orbitals with symmetry lowering Jahn-Teller effect is a principal characteristic of the atomic vacancy.Group-III nitride semiconductors are unique in the sense that the cation is much larger than the anion: Atomic radii of Al, Ga, and In are 1.43, 1.41, and 1.66 Å , respectively, whereas the radius of N is 0.75 Å . Then if a cation atom is removed, the remaining N dangling bonds hardly rebond with each other, which causes the spin polarization around vacancies, and unprecedented properties are expected. Due to direct energy gaps corresponding to a range from infrared to ultraviolet wavelengths, group-III nitrides are important in optoelectronics.4) For microscopic identification of point defects, extensive calculations from first principles have been performed for GaN. 5,6) However, the possibility of the spin polarization of the cation vacancy explained above has been overlooked in those calculations. Although ferromagnetic behaviors in GaN doped with magnetic impurities have been reported [7][8][9][10] and a role of the cation monovacancy is examined in recent calculations, [11][12][13][14] it is certainly fair to say that our knowledge on defect spins is quite limited. In addition, doping procedures of magnetic impurities have been reported to introduce cation vacancies and their complexes.15) At this stage, it is imperative to examine yet-to-be-discovered intrinsic spin-related properties of defects in nitride semiconductors.Here, we report first-principles calculations that clarify the spin polarization and the lattice relaxation of mono-and multi-vacancies (V n ) with various charge states in group-III nitrides. We demonstrate that nontrivial dependence of spin configurations on ...