%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