Measurement of the electrostrictive coefficients of modified lead magnesium niobate using neutron powder diffraction

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Abstract
Neutronpowderdiffraction measurements and a constitutive model were used to determine the bulk longitudinal and transverse electrostrictive coefficients (Q ijkl ) for polycrystalline samples of the subject material. Effective single-crystal Q ijkl were calculated from the powderneutron diffraction data. The resulting values of the three independent Q ijkl , as determined from the cubic symmetry of the underlying lattice, are Q 3333 =2.1×10 −2 m 4 /C 2 , Q 3322 =−0.87×10 −2 m 4 /C 2 , and Q 3232 =1.2×10 −2 m 4 /C 2 . Using these effective single-crystal values, a random ensemble average was used to predict the electromechanical performance of the polycrystallinematerial. Predicted values of bulk Q 3333 =1.86×10 −2 m 4 /C 2 and Q 3322 =−0.78×10 −2 m 4 /C 2 are 89% and 87%, respectively, of the effective single-crystal values for Q 3333 and Q 3322 , while measured values of polycrystalline specimens are only ∼70% of the single-crystal values.

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