We have studied the formation energy of the simplest oxygen defects in cu-q
uartz, the oxygen vacancy and interstitial, by an ab initio approach based
on density functional theory in the local density approximation. We have de
termined the formation energies and entropies and the migration paths and e
nergies. From our results we can conclude that oxygen diffuses in quartz by
an interstitial mechanism: the interstitial has a dumbbell structure; one
of the constitutive atoms jumps towards a neighboring oxygen site. The acti
vation energy amounts to 4.7 eV in the intrinsic regime and 2.8 eV in the e
xtrinsic regime.