Thermodynamic theory of the lead zirconate-titanate solid solution system, part II: Tricritical behavior

Haun, M. J.; Furman, Eugene; McKinstry, H. A.; Cross, L. E.

doi:10.1080/00150198908221437

Cited by 116 publications

(52 citation statements)

References 7 publications

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“…For this simulation, coefficients measured by Haun, et al [42][43][44] were used. Electrical dipole interactions between bound polarization charges and the electric field distribution, E i , were considered through the electrostatic interaction …”

Section: Methodsmentioning

confidence: 99%

Atomic-scale mechanisms of ferroelastic domain-wall-mediated ferroelectric switching

et al. 2013

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Polarization switching in ferroelectric thin films occurs via nucleation and growth of 180°d omains through a highly inhomogeneous process in which the kinetics are largely controlled by defects, interfaces and pre-existing domain walls. Here we present the first real-time, atomic-scale observations and phase-field simulations of domain switching dominated by pre-existing, but immobile, ferroelastic domains in Pb(Zr 0.2 Ti 0.8 )O 3 thin films. Our observations reveal a novel hindering effect, which occurs via the formation of a transient layer with a thickness of several unit cells at an otherwise charged interface between a ferroelastic domain and a switched domain. This transient layer possesses a low-magnitude polarization, with a dipole glass structure, resembling the dead layer. The present study provides an atomic level explanation of the hindering of ferroelectric domain motion by ferroelastic domains. Hindering can be overcome either by applying a higher bias or by removing the as-grown ferroelastic domains in fabricated nanostructures.

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Section: Methodsmentioning

confidence: 99%

Atomic-scale mechanisms of ferroelastic domain-wall-mediated ferroelectric switching

et al. 2013

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“…As already mentioned, the values of all coefficients and the solutions for the tetragonal and rhombohedric phases can be found in Refs. [2] and [9][10][11][12]. Here, we present only the solutions for the monoclinic phase as proposed by Noheda et al [5].…”

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confidence: 99%

“…In order to discuss the stability of this new phase we use the Landau−Devonshire phenomenological theory. It should be remarked that, Haun and coworkers [2,[9][10][11][12] have evaluated various coefficients related to the free energy function, developing a complete theory that describes the well-known phase transitions in the PZT system. In this work, we consider a simplified version of the free energy used in Ref.…”

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confidence: 99%

Monoclinic phase ofPbZr0.52Ti0.48O3
Filho
¹
,
Lima
²
,
Ayala
³

et al. 2000
Phys. Rev. B
70
3
28
1
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This work reports on the first Raman detection of the tetragonal → monoclinic phase transition in PZT ceramics near morphotropic phase boundary at low temperatures. The transition is characterized by changes in the frequency of lattice modes with the temperature. The results presented here confirm the previous one recently reported by Noheda et al. [5,6] using high-resolution synchrotron X-ray powder diffraction technique and dielectric measurements. The stability of the new phase is discussed within the framework of phenomenological Landau-Devonshire Theory.Due to their remarkable technological importance, PbZr 1−x Ti x O 3 ceramics have been for long time the subject of extensive experimental and theoretical studies. Its excellent piezoelectric, dielectric and ferroelectric properties lead this material to be one of the most important material used in electronic devices. Its properties depend strongly on its structural phase. The composition(x)-temperature(T) phase diagram of the PZT system was determined by Jaffe et al.[1] using X-ray diffraction measurements. At room temperature PZT presents several structures depending on the value of x, namely: ferroelectric tetragonal (C 1 4v ), two rhombohedral phases (C 6 3v and C 1 3v ), and antiferroelectric orthorhombic (C 8 2v ) phases. Also, at high temperatures, PZT presents a paraelectric cubic phase (O 1 h ). The phenomenological Landau-Devonshire theory developed by Haun et al.[2] explains the stability of all phases contained in the concentration(x)-temperature(T) phase diagram determined by Jaffe et al. [1].The separation between rhombohedral and tetragonal phase is called morphotropic phase boundary (MPB) and occurs around x = 0.50 and 0.55, where the exact compositions which the transitions occur are strongly dependent on the sample fabrication method [3] and the grain sizes [4]. Many efforts have been concentrated in obtaining samples belonging to this region of phase diagram, because of the enhancement of their electromechanical response. So, recently, new features on the MPB were reported by Noheda et. al [5,6]. Their works report on the high-resolution synchrotron X-ray powder diffraction techniques and dielectric measurements in PZT ceramics with compositions slightly different from that of MPB region. The authors discovered a new ferroelectric monoclinic phase at low temperatures and proposed a preliminary modification in the well-known phase diagram reported by Jaffe et. al. [1]. The most probable space group for this new ferroelectric monoclinic phase is C 3 s which is a subgroup of C 1 4v and C 6 3v groups. This monoclinic phase exhibited by PZT at low temperatures would be the first example of a ferroelectric material with P 2 x =P 2 y =P 2 z , where P 2 x , P 2 y , P 2 z = 0.[5] The transition observed by Noheda et al. [5] was due to the use of synchrotron radiation which provides a higherresolution diffraction pattern than that obtained by conventional X-ray radiation. Micro-Raman spectroscopy, which is quite useful to investigate a localized ar...

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“…PZT has been modeled by Haun et al [15][16][17][18][19][20] using a Ginzburg-Landau-Devonshire sixth order expansion of the free energy in terms of the polarization. The model is able to reproduce accurately the full temperaturecomposition phase diagram, but the composition dependence of the coefficients is so complex that the manipulation of the main properties of the phase diagram by means of changes in the model parameters becomes difficult.…”

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confidence: 99%

Effects of tricritical points and morphotropic phase boundaries on the piezoelectric properties of ferroelectrics

Porta

Lookman

2011

Phys. Rev. B

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The longitudinal piezoelectric coefficient d * 33 of a PZT-like ferroelectric is computed in the full compositiontemperature parameter space using sets of parameters which control the position of the tricritical points and the degree of tilting of the morphotropic phase boundary separating the ferroelectric rhombohedral phase from the ferroelectric tetragonal phase. The system is modeled using a Ginzburg-Landau expansion of the free energy in terms of the electric polarization up to sixth order, including all the symmetry allowed terms. We obtain two regions of the phase diagram with a large piezoelectric response. In the polar direction, d * 33 is large in the vicinity of the paraelectric to ferroelectric line of phase transitions, whereas in a nonpolar direction d * 33 is large in the vicinity of the morphotropic phase boundary. We find that a given degree of tilting of the morphotropic phase boundary can be obtained from free energies with different degrees of anisotropy, and therefore the titling and anisotropy are not directly related . On the other hand, the piezoelectric response is larger when the two tricritical points of the phase diagram are farther apart from each other than when they collapse onto a single tricritical point.

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Thermodynamic theory of the lead zirconate-titanate solid solution system, part II: Tricritical behavior

Cited by 116 publications

References 7 publications

Atomic-scale mechanisms of ferroelastic domain-wall-mediated ferroelectric switching

Atomic-scale mechanisms of ferroelastic domain-wall-mediated ferroelectric switching

Monoclinic phase ofPbZr0.52Ti0.48O3
Filho
¹
,
Lima
²
,
Ayala
³

et al. 2000
Phys. Rev. B
70
3
28
1
View full text Add to dashboard Cite

Effects of tricritical points and morphotropic phase boundaries on the piezoelectric properties of ferroelectrics

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Thermodynamic theory of the lead zirconate-titanate solid solution system, part II: Tricritical behavior

Cited by 116 publications

References 7 publications

Atomic-scale mechanisms of ferroelastic domain-wall-mediated ferroelectric switching

Atomic-scale mechanisms of ferroelastic domain-wall-mediated ferroelectric switching

Monoclinic phase ofPbZr0.52Ti0.48O3Filho1, Lima2, Ayala3 et al. 2000Phys. Rev. B703281View full textAdd to dashboardCite

Effects of tricritical points and morphotropic phase boundaries on the piezoelectric properties of ferroelectrics

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Resources

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Monoclinic phase ofPbZr0.52Ti0.48O3
Filho
¹
,
Lima
²
,
Ayala
³

et al. 2000
Phys. Rev. B
70
3
28
1
View full text Add to dashboard Cite