Grain-Size and Frequency Dependent Ferroelectric Characteristics of Nanocrystalline Ferroelectric Ce

来源 :The 5th Asian Conference on Mechanics of Functional Material | 被引量 : 0次 | 上传用户:epigeige
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  In this presentation we take the view that frequency dependence of ferroelectric hysteresis is a result of direct competition between the speed of polarization evolution and the speed of external loading.We used the Ginzburg-Landau kinetic equation to evaluate the evolution of polarization vectors.We also devised a polycrystal model with a core-shell grain configuration to reflect the effect of the grain-boundary (GB) affected zone.The phase-field results showed that the coercive field tended to increases with frequency,but remnant polarization increased only slightly while the dielectric constant and piezoelectric constant d33,tended to decrease.We also found that,while both hysteresis and butterfly loops exhibited the familiar sharp tails at low frequency,the tails disappeared and the loops became elliptic-and kidney-shaped,respectively,at high frequency.The calculated low-frequency phenomena are widely supported by experiments,but the high-frequency ones are not commonly found in literature.
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