%0 Journal Article %K Single crystals %K piezoelectricity %K Ferroelectric thin films %K Microelectromechanical devices %K Barium titanate %K Lead-free %K Orientation dependences %K Piezoelectric constants %A J Ouyang %A Ramamoorthy Ramesh %A A.L Roytburd %B Applied Surface Science %D 2006 %G eng %I Elsevier %P 3394-3400 %R 10.1016/j.apsusc.2005.05.048 %T Theoretical investigation of the intrinsic piezoelectric properties for tetragonal BaTiO 3 epitaxial films %V 252 %X {The orientation dependences of the converse longitudinal piezoelectric constant d 33,f , and the in-plane converse piezoelectric constant e 31,f , are calculated for tetragonal barium titanate epitaxial films. The calculations demonstrate that both e 31,f and d 33,f have their maximum values along an axis close to the (1 1 1) direction of the pseudo-cubic system, which are similar to the orientation dependence results for a tetragonal BaTiO 3 single crystal. The calculated piezoelectric constants for a (1 1 1) oriented BaTiO 3 epitaxial film (e 31