“…4,6,11,13,[15][16][17][18] There has been no fully accepted chemical identification of the oxygen vacancy in HfO 2 by, say, electron spin resonance (ESR). [19][20][21] This situation differs from the oxygen vacancy in TiO 2 22 and contrasts strongly with the vast literature on the paramagnetic E 0 and P b centers in SiO 2 . 23,24 In this paper, we explain the problems with the symmetry assignment of the oxygen vacancy in HfO 2 in previous calculations and present a calculation of the ESR signature of the O vacancy using hybrid density functional methods, to help aid this identification.…”