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人工晶体学报 ›› 2017, Vol. 46 ›› Issue (8): 1450-1455.

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Pb(Mg1/3Nb2/3)O3-0.33PbTiO3晶体三方相的压电性能研究

魏亚姣;周国香;张鑫;白雪   

  1. 河北工业大学理学院,天津,300401
  • 出版日期:2017-08-15 发布日期:2021-01-20
  • 基金资助:
    国家自然科学基金(11204063)

Study on the Piezoelectric Properties of Rhombohedral Pb(Mg1/3Nb2/3)O3-0.33PbTiO3 Crystal

WEI Ya-jiao;ZHOU Guo-xiang;ZHANG Xin;BAI Xue   

  • Online:2017-08-15 Published:2021-01-20

摘要: 以坐标系二次旋转为理论基础研究了PMN-0.33PT晶体三方相的常用压电模量d15、d24、d31、d33、d36和机电耦合系数k15、k24、k31、k33、k36在三维空间的变化规律.通过MATLAB编程求得以上各系数关于坐标系旋转角度的函数表达式,绘制出了它们的三维空间分布图,并一一求得这些系数的最大值,以及与最大值相对应的旋转角.发现除d33和k33外,d31、d36、k31和k36也在空间变化显著.d31和k31旋转后的最大值比原坐标系下的数值分别扩大了15倍和6倍,对应的旋转角分别为(-4.5°/90°)、(22.5°/270°).d36 和k36在原坐标系下不存在,经旋转后的最大值可分别达到1340 pC/N 和0.73.该研究结果对PMN-0.33PT晶体在压电传感器、换能器中的应用具有重要的理论价值.

关键词: PMN-0.33PT晶体;三方相;坐标旋转;压电效应系数;机电耦合系数

Abstract: The distribution in 3D space of the piezoelectric coefficient d15, d24, d31, d33, d36 and the electromechanical coupling factor k15, k24, k31, k33, k36 of the rhombohedral PMN-0.33PT crystal were investigated by rotating the coordinate system twice.The functions of the coefficients and the factors stated above about the coordinate rotation angle were obtained.The 3D figures, the maximum values of these coefficients and the rotation angle corresponding to the maximum value are achieved by MATLAB program.It is found that d31, d36, k31 and k36 change dramatically in different direction besides d33 and k33.The maximum value of d31 and k31 of the crystal after rotation expand 15 times and 6 times respectively compared with the measured value of the original coordinates.The maximum value of d36 and k36 which are both zero in the original coordinates can reach 1340 pC/N and 0.73 respectively after rotation.It is instructive for the application of the PMN-0.33 PT crystal in piezoelectric sensors and transducers.

Key words: The distribution in 3D space of the piezoelectric coefficient d15, d24, d31, d33, d36 and the electromechanical coupling factor k15, k24, k31, k33, k36 of the rhombohedral PMN-0.33PT crystal were investigated by rotating the coordinate system twice.The functions of the coefficients and the factors stated above about the coordinate rotation angle were obtained.The 3D figures, the maximum values of these coefficients and the rotation angle corresponding to the maximum value are achieved by MATLAB program.It is found that d31, d36, k31 and k36 change dramatically in different direction besides d33 and k33.The maximum value of d31 and k31 of the crystal after rotation expand 15 times and 6 times respectively compared with the measured value of the original coordinates.The maximum value of d36 and k36 which are both zero in the original coordinates can reach 1340 pC/N and 0.73 respectively after rotation.It is instructive for the application of the PMN-0.33 PT crystal in piezoelectric sensors and transducers.

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