Toward a unified description of nonlinearity and frequency dispersion of piezoelectric and dielectric responses in Pb(Zr,Ti)O3

Damjanović, Dragan; Bharadwaja, S. S. N.; Setter, N.

doi:10.1016/j.mseb.2005.02.011

Cited by 26 publications

(26 citation statements)

References 16 publications

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“…In contrast, the longitudinal d 33 response ͑D 3 = d 33 3 ͒ was found to be hysteretic and nonlinear at all stresses, behavior unexpected from the corresponding anhysteretic converse ͑strain-field͒ response 2 of such domain-engineered crystals. Moreover, d 33 was found to be a quasilogarithmic or power law function of frequency, 5 similar to that observed in ceramic lead zirconate titanate ͑PZT͒ and barium titanate 6,7 where it is characteristic of domain wall motion. 6 Furthermore, the longitudinal response was found to be adherent to the Rayleigh law ͑see Sec.…”

Section: Introductionsupporting

confidence: 74%

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Temperature dependence of the direct piezoelectric effect in relaxor-ferroelectric single crystals: Intrinsic and extrinsic contributions

Davis

Damjanović

Setter

2006

Journal of Applied Physics

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The direct piezoelectric response d33 of [001]C-poled 0.955Pb(Zn1∕3Nb2∕3)O3–0.045PbTiO3 [PZN-4.5PT] and 0.98Pb(Zn1∕3Nb2∕3)O3–0.08PbTiO3 [PZN-8PT] has been investigated as a function of temperature upon heating above 40°C to the paraelectric phase. Using a Rayleigh-law based analysis, it is shown that both the reversible/intrinsic and irreversible (extrinsic) contributions to the response increase in both compositions as the phase transition to a tetragonal phase is approached. The latter is likely due to an increased domain wall mobility close to the first order transition temperature, which also gives rise to an increased frequency dispersion. Large reversible direct piezoelectric responses d33>1600pm∕V are observed for both compositions, which increase dramatically close to the transition temperature. Most importantly, the reversible contribution is always much larger than the irreversible part in the low temperature, domain-engineered phase, the latter accounting for around 20% of the response in PZN-8PT, at 40°C, and 5% in PZN-4.5PT. The importance of this result to the validity of the adaptive phase model is discussed.

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Section: Introductionsupporting

confidence: 74%

“…͑2͒ describes a hysteretic, and therefore lossy, charge-stress loop with a finite width ͑at dy =0͒ of ⌬D = ␣ 0 2 . Finally, the dependence of the piezoelectric coefficient upon the frequency f of the applied dynamic stress can be written as 5,8 …”

Section: Quantitative Descriptions Of Nonlinearitymentioning

confidence: 99%

Temperature dependence of the direct piezoelectric effect in relaxor-ferroelectric single crystals: Intrinsic and extrinsic contributions

Davis

Damjanović

Setter

2006

Journal of Applied Physics

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“…However, we note that the nonlinear piezoelectric response of BiFeO 3 exhibits frequency dependence that is distinctly different from that in soft PZT where piezoelectric coefficient decreases linearly with logarithm of the frequency and nonlinearity scales with frequency. [44][45][46] In BiFeO 3 , large nonlinear contributions are only observed at low frequencies, i.e., below 0.1 Hz (see inset of Fig. 3a).…”

Section: Resultsmentioning

confidence: 94%

“…[44][45][46] For example, in PZT thin films the permittivity obeys a log(1/ω) dependence over a frequency range of six orders of magnitude, i.e., from 0.01 to 10 4 Hz. 33 Same type of frequency dispersion was also found in the piezoelectric d 33 coefficient of Nb-doped soft PZT and Nbdoped Bi 4 Ti 3 O 12 ceramics.…”

Section: E Discussion On Piezoelectric Nonlinearity In Bifeomentioning

confidence: 99%

Piezoelectric nonlinearity and frequency dispersion of the direct piezoelectric response of BiFeO3 ceramics

Rojac¹,

Benčan²,

Dražić³

et al. 2012

Journal of Applied Physics

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We report on the frequency and stress dependence of the direct piezoelectric d 33 coefficient in BiFeO 3 ceramics. The measurements reveal considerable piezoelectric nonlinearity, i.e., dependence of d 33 on the amplitude of the dynamic stress. The nonlinear response suggests a large irreversible contribution of non-180° domain walls to the piezoelectric response of the ferrite, which, at present measurement conditions, reached a maximum of 38% of the total measured d 33 . In agreement with this interpretation, both types of non-180° domain walls, characteristic for the rhombohedral BiFeO 3 , i.e., 71° and 109°, were identified in the poled ceramics using transmission electron microscopy (TEM). In support to the link between nonlinearity and non-180° domain wall contribution, we found a correlation between nonlinearity and processes leading to deppining of domain walls from defects, such as quenching from above the Curie temperature and high-temperature sintering. In addition, the nonlinear piezoelectric response of BiFeO 3 showed a frequency dependence that is 2 qualitatively different from that measured in other nonlinear ferroelectric ceramics, such as "soft" (donor-doped) Pb(Zr,Ti)O 3 (PZT), i.e., in the case of the BiFeO 3 large nonlinearities were observed only at low field frequencies (<0.1 Hz); possible origins of this dispersion are discussed. Finally, we show that, once released from pinning centers, the domain walls can contribute extensively to the electromechanical response of BiFeO 3 ; in fact, the extrinsic domain-wall contribution is relatively as large as in Pb-based ferroelectric ceramics with morphotropic phase boundary (MPB) composition, such as PZT. This finding might be important in the search of new lead-free MPB compositions based on BiFeO 3 as it suggests that such compositions might also exhibit large extrinsic domain-wall contribution to the piezoelectric response. a) Electronic mail: tadej.rojac@ijs.si 3

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“…[10][11][12] The frequency dependence of the piezoelectric coefficient has often been explained in terms of displacement of domain walls (interfaces) and their interaction with the defects present in the material (pinning centers). 13 To date, this explanation of frequency-dependent properties has been phenomenological in nature as the experimental verification of this interpretation has proven challenging. However, neutron diffraction instrumentation has recently became available that can be used for in situ measurement of domain wall motion during cyclic electric field application.…”

mentioning

confidence: 99%

An in situ diffraction study of domain wall motion contributions to the frequency dispersion of the piezoelectric coefficient in lead zirconate titanate

Seshadri¹,

Prewitt²,

Studer³

et al. 2013

Applied Physics Letters

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Two dimensional ferroelectric domain patterns in Yb3+ optically active LiNbO3 fabricated by direct electron beam writing Appl. Phys. Lett. 102, 042910 (2013) Local probing of the interaction between intrinsic defects and ferroelectric domain walls in lithium niobate Appl. Phys. Lett. 102, 042905 (2013) Structural investigation of interface and defects in epitaxial Bi3.25La0.75Ti3O12 film on SrRuO3/SrTiO3 (111) and (100) J. Appl. Phys. 113, 044102 (2013) Piezo-strain induced non-volatile resistance states in (011)-La2/3Sr1/3MnO3/0.7Pb(Mg2/3Nb1/3)O3-0.3PbTiO3 epitaxial heterostructures

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Toward a unified description of nonlinearity and frequency dispersion of piezoelectric and dielectric responses in Pb(Zr,Ti)O3

Cited by 26 publications

References 16 publications

Temperature dependence of the direct piezoelectric effect in relaxor-ferroelectric single crystals: Intrinsic and extrinsic contributions

Temperature dependence of the direct piezoelectric effect in relaxor-ferroelectric single crystals: Intrinsic and extrinsic contributions

Piezoelectric nonlinearity and frequency dispersion of the direct piezoelectric response of BiFeO3 ceramics

An in situ diffraction study of domain wall motion contributions to the frequency dispersion of the piezoelectric coefficient in lead zirconate titanate

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