We have carried out first-principles total-energy calculations of (001
) surfaces of the tetragonal and cubic phases of BaTiO3. Both BaO-term
inated (type I) and TiO2-terminated (type II) surfaces are considered,
and the atomic configurations have been fully relaxed. We found no de
ep-gap surface states for any of the surfaces, in agreement with previ
ous theoretical studies. However, the gap is reduced for the type-II s
urface, especially in the cubic phase. The surface relaxation energies
are found to be substantial, i.e., many times larger than the bulk fe
rroelectric well depth. Nevertheless, the influence of the surface upo
n the ferroelectric order parameter is modest; we find only a small en
hancement of the ferroelectricity near the surface.