We present Hartree-Fock calculations of the adsorption of oxygen on a Si(11
1)-(2 x 2) surface, which models the Si(111)-(7 x 7) structure, including i
ts two main sites (adatom and rest atom sites). In the most stable configur
ations, molecules dissociate leading to atomic oxygen bridging the adatom b
ackbonds. The molecular adsorption is less favorable. The dioxygen, however
, is a local minimum of the potential surface in two cases: (i) in the "gri
f" geometry; (ii) bridging between a rest atom and an adatom. It then repre
sents a possible precursor for the early stage of oxidation. The presence o
f an oxygen atom already adsorbed on the surface enhances the heat of adsor
ption of other oxygen (atomic or molecular) on the same site.