A first-principles-derived approach is developed to study finite-temperatur
e properties of Pb(Zr1-xTix)O-3 (PZT) solid solutions near the morphotropic
phase boundary (MPB). Structural and piezoelectric predictions are in exce
llent agreement with experimental data and direct first-principles results.
A low-temperature monoclinic phase is confirmed to exist, and is demonstra
ted to act as a bridge between the well-known tetragonal and rhombohedral p
hases delimiting the MPB. A successful explanation for the large piezoelect
ricity found in PZT ceramics is also provided.