We present an ab initio density-functional investigation of the structure a
nd energetics of several stoichiometric 1 X 1 low-index surfaces of anatase
, a TiO2 polymorph similar to9% less dense and similar to1.2 kcal/mol less
stable than rutile. Although our calculations do not reproduce the relative
ordering of the two phases that is observed experimentally, the calculated
bulk structural and elastic properties of both polymorphs are in excellent
agreement with the experiment, suggesting that surface relaxations are cor
rectly described as well. As expected, the surface energies of anatase appe
ar to be related to the presence of undercoordinated Ti atoms: the surfaces
with fourfold-coordinated Ti atoms have a larger energy than those with fi
vefold-coordinated Ti. Furthermore, we find that the average surface energy
of a TiO2 anatase macroscopic crystal is smaller than that of rutile. Fina
lly, patterns in the relaxation of the surface atoms which are com;non to d
ifferent surfaces are analyzed.