We have performed a theoretical study of the atomic and electronic structur
e of the four compounds Sr2TiO4, Sr3Ti2O7, Sr4Ti3O10 and SrTiO3, by a total
-energy semiempirical Hartree-Fock method. We show that the intercalation o
f SrO layers in the perovskite structure of SrTiO3 induces lattice distorti
ons and modifications of the electronic structure, which are mainly localiz
ed close to the stoichiometry defect. They include a contraction of the SrO
-TiO2 interplanar distance, a rumpling of the adjacent layers and an increa
se in the ionicity of the Sr-O bond. As the index n increases, the compound
s Srn+1TinO3n+1 become more and more unstable with respect to phase dissoci
ation and we predict a limit of stability for n approximate to 3.