An understanding of heteroepitaxy between perovskite and alkaline eart
h oxides is developed in terms of ion size and interfacial electrostat
ics. Interfacial energy minimization at the first atomic layers is the
basis for a commensurate, unit-cell stability. This unit-cell stabili
ty presents the opportunity to study reduced dimensional or two-dimens
ional phenomena in thin-film ferroelectrics and is the basis for growt
h of high crystal quality, mum-thick films for optical device applicat
ions.