TY - JOUR KW - Lead KW - Thin films KW - Polycrystals KW - Polarization KW - Epitaxial growth KW - Piezoelectricity KW - Ferroelectric thin films KW - Microelectromechanical devices KW - Extrinsic effects KW - In-plane strains KW - Piezoelectric coefficients AU - J Ouyang AU - Ramamoorthy Ramesh AU - A.L Roytburd AB - As a function of film orientation, the intrinsic effective piezoelectric coefficient e31,f is generally formulated for a substrate-constrained ferroelectric film. Numerical results are obtained for Pb (Zrx Ti1-x) O3 (PZT) thin films with tetragonal and rhombohedral compositions. It is illustrated that the optimal orientation for e31,f are close to [001] orientation in both tetragonal and rhombohedral PZT films and the maximum calculated e31,f is about -30 Cm2 on the rhombohedral side of the morphotropic phase boundary. © 2005 American Institute of Physics. BT - Applied Physics Letters DO - 10.1063/1.1899252 LA - eng M1 - 15 N1 - cited By 18 N2 - As a function of film orientation, the intrinsic effective piezoelectric coefficient e31,f is generally formulated for a substrate-constrained ferroelectric film. Numerical results are obtained for Pb (Zrx Ti1-x) O3 (PZT) thin films with tetragonal and rhombohedral compositions. It is illustrated that the optimal orientation for e31,f are close to [001] orientation in both tetragonal and rhombohedral PZT films and the maximum calculated e31,f is about -30 Cm2 on the rhombohedral side of the morphotropic phase boundary. © 2005 American Institute of Physics. PY - 2005 SP - 1 EP - 3 T2 - Applied Physics Letters TI - Intrinsic effective piezoelectric coefficient e 31,f for ferroelectric thin films VL - 86 SN - 00036951 ER -