We associate a self-consistent electronic structure calculation with a
conjugate gradient technique for geometry optimization, to study stru
ctural distortions on stoichiometric oxide surfaces. We discuss the re
laxation and rumpling effects and their consequences on the surface el
ectronic structure in a series of three MgO surfaces: (100), (110), (2
11) characterized by an increasing number of broken bonds, on the (110
) faces of rocksalt oxides presenting various ionic characters: MgO, C
aO, SrO and BaO, and on two non-polar rutile TiO2 faces: (110) and (00
1). The numerical results are interpreted in the framework of an analy
tical model and the competition between covalent and electrostatic eff
ects is investigated. A new mechanism of rumpling on oxide surfaces is
proposed.