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The dependence of k31eff on the aspect ratio G=l(1)l(2) has been calculated for resonators made of [001] poled 0.67Pb(Mg(13)Nb(23))O(3)-0.33PbTiO(3) (PMN-0.33PT) and [011] poled 0.71Pb(Mg(13)Nb(23))O(3)-0.29PbTiO(3) (PMN-0.29PT). Based on the derived unified formula, the lateral electromechanical energy conversion efficiency mid R:k31effmid R:2 decreases with G for [001] poled PMN-0.33PT but increases with G for [011] poled PMN-0.29PT.
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Chen et al. (2009) studied this question.
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