In order to understand the origin of piezoresponse, we should consider the possible d ij matrix for the space group P6 1 . 17 In this group, only two shear components exist, which apparently describe deformations along two perpendicular axes relative to the tube axis. In the configuration shown in Figure 1b, the component of the shear deformation is parallel to the tube axis and proportional to 1/2d 15 V ac cos ␣, where ␣ is the angle be- tween the tube axis and scanning direction and d 15 is the shear piezocoefficient
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