Bond contraction in the surface lavers induces a compressive stress on the
inner part of a grain and results in a size effect for ferroelectric materi
als in the nanometer size range. By using the Landau-Ginsburg-Devonshire fr
ee energy approach, the phase transitions and intrinsic ferroelectric prope
rties of the lead zirconate titanate solid solution system have been studie
d theoretically. It is found that, due to the surface bond contraction, the
phase stability is affected by grain size and the size-dependent propertie
s show differences in different phases.