Thermodynamic theory of PbTiO3

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

doi:10.1063/1.339293

Cited by 511 publications

(332 citation statements)

References 14 publications

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“…Apart from this difference in T c , the thicker film has a higher c-axis value at low temperatures compared to the 130-nm film. At room temperature the c-axis value for the 280-nm-thick film is slightly higher than that reported for bulk PTO, 23,26 whereas for the 130-nm film it is slightly lower. The variations in c-lattice parameters may be related to the presence of oxygen ͑and lead͒ vacancies, which can possibly also affect relaxations.…”

Section: Resultsmentioning

confidence: 62%

“…The solid lines drawn in The experimental results demonstrate that the T c of both films is much higher than that of bulk PTO ͑T c bulk = 492°C͒. 26 For the 280-nm film T c is between 650 and 675°C, and for the 130-nm-thick film the T c is higher than 700°C. Apart from this difference in T c , the thicker film has a higher c-axis value at low temperatures compared to the 130-nm film.…”

Section: Resultsmentioning

confidence: 94%

“…In the calculations for PTO all the parameters provided by Pertsev et al 7 were used, which were in fact almost all based on the parameters provided by Haun et al 26 Then it is assumed that Q 11 and Q 12 are constants independent of temperature. Also s ij are assumed temperature independent, but a realistic 10% variation over the considered temperature range turned out not to affect significantly the results.…”

Section: A Lgd Model Calculationsmentioning

confidence: 99%

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Monodomain strained ferroelectricPbTiO3thin films: Phase transition and critical thickness study

Venkatesan

Vlooswijk²,

Kooi

et al. 2008

Phys. Rev. B

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This work demonstrates that instead of paraelectric PbTiO 3 , completely c-oriented ferroelectric PbTiO 3 thin films were directly grown on ͑001͒-SrTiO 3 substrates by pulsed-laser deposition with thickness up to 340 nm at a temperature well above the Curie temperature of bulk PbTiO 3 . The influence of laser-pulse frequency, substrate-surface termination on growth, and functional properties were studied using x-ray diffraction, transmission electron microscopy, and piezoresponse force microscopy. At low growth rates ͑frequency Ͻ5 Hz͒ the films were always monodomain. However, at higher growth rates ͑frequency Ͼ8 Hz͒ a domains were formed for film thickness above 20-100 nm. Due to coherency strains the Curie temperature ͑T c ͒ of the monodomain films was increased approximately by 350°C with respect to the T c of bulk PbTiO 3 even for 280-nm-thick films. Nonetheless, up to now this type of growth mode has been considered unlikely to occur since the Matthews-Blakeslee ͑MB͒ model already predicts strain relaxation for films having a thickness of only ϳ10 nm. However, the present work disputes the applicability of the MB model. It clarifies the physical reasons for the large increase in T c for thick films, and it is shown that the experimental results are in good agreement with the predictions based on the monodomain model of Pertsev et al. ͓Phys. Rev. Lett. 80, 1988

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Section: Resultsmentioning

confidence: 62%

Section: Resultsmentioning

confidence: 94%

Section: A Lgd Model Calculationsmentioning

confidence: 99%

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Monodomain strained ferroelectricPbTiO3thin films: Phase transition and critical thickness study

Venkatesan

Vlooswijk²,

Kooi

et al. 2008

Phys. Rev. B

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“…However, understanding of phases and domain wall structures by either theoretical or experimental treatment of ferroics especially in AFE materials had never been trivial and present very huge challenges. Due to these challenges, Landau theoretical investigation of ferroics features have received considerable attention in the literature [8], [9], [10], [11], [12]. It is against this background that, this paper attempts to study theoretically the characteristics of AFE ferroics.…”

Section: Introductionmentioning

confidence: 99%

Landau theoretical analyses of phase transitions and ferroelec-tricity in antiferroelectric ferroics

Rwenyagila

2017

IJBAS

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This paper presents Landau theoretical interpretation of phase transitions in Antiferroelectrics (AFEs) materials. The results show that the phase transitions occurring in AFEs have prominently first and second order properties. Landau theories of first and second order phase transition have been appropriately analyzed in order to explain some of desirable phenomenological behaviors occurring in AFE materials. The spatial order parameter profile of AFE domain wall was derived and tested for possibilities of having ferroelectricity (FE) in accordance with Landau type energy functional. It was found that FE may appear but with additional system instability because of additional energy as a result of polarization gradient.

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“…10 First, perovskite crystals, in general, possess the highest elastic stiffness constant c 33 D along the pseudo-cubic h111i body diagonals, since the anisotropy factor A [A ¼ 2c 44 /(c 11 -c 12 )] 11 is larger than 1, as given in Table I. 10,[12][13][14] Therefore, perovskite crystals oriented along the [111] direction are selected to achieve a high frequency constant N 33 . Second, the special ferroelectric phase for [111]-oriented crystals, in which high dielectric permittivities present, must be identified.…”

Section: Introductionmentioning

confidence: 99%

[111]-oriented PIN-PMN-PT crystals with ultrahigh dielectric permittivity and high frequency constant for high-frequency transducer applications

Zhang

Luo

et al. 2016

Journal of Applied Physics

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Shrout, T. R. (2016).[111]-oriented PIN-PMN-PT crystals with ultrahigh dielectric permittivity and high frequency constant for high-frequency transducer applications. Journal of Applied Physics, 120 (7), 074105-1-074105-5.[111]-oriented PIN-PMN-PT crystals with ultrahigh dielectric permittivity and high frequency constant for high-frequency transducer applications AbstractThe electromechanical properties of [111]-oriented tetragonal Pb(In1/2Nb1/2O3)-Pb(Mg1/3Nb2/3O3)-PbTiO3 (PIN-PMN-PT) crystals were investigated for potential high frequency ultrasonic transducers. The domain-engineered tetragonal crystals exhibit an ultrahigh free dielectric permittivity ε33 T > 10 000 with a moderate electromechanical coupling factor k33 ∼ 0.79, leading to a high clamped dielectric permittivity ε33 S of 2800, significantly higher than those of the rhombohedral relaxor-PT crystals and high-K (dielectric permittivity) piezoelectric ceramics. Of particular significance is that the [111]-oriented tetragonal crystals were found to possess high elastic stiffness, with frequency constant N33 of ∼2400 Hz m, allowing relatively easy fabrication of high-frequency transducers. In addition, no scaling effect of piezoelectric and dielectric properties was observed down to thickness of 0.1 mm, corresponding to an operational frequency of ∼24 MHz. These advantages of [111]-oriented tetragonal PIN-PMN-PT crystals will benefit high-frequency ultrasonic array transducers, allowing for high sensitivity, broad bandwidth, and reduced noise/crosstalk. Disciplines Engineering | Physical Sciences and Mathematics Publication DetailsLi, F., Zhang, S., Luo, J., Geng, X. [111]-oriented PIN-PMN-PT crystals with ultrahigh dielectric permittivity and high frequency constant for high-frequency transducer applications T > 10 000 with a moderate electromechanical coupling factor k 33 $ 0.79, leading to a high clamped dielectric permittivity e 33 S of 2800, significantly higher than those of the rhombohedral relaxor-PT crystals and high-K (dielectric permittivity) piezoelectric ceramics. Of particular significance is that the [111]-oriented tetragonal crystals were found to possess high elastic stiffness, with frequency constant N 33 of $2400 Hz m, allowing relatively easy fabrication of high-frequency transducers. In addition, no scaling effect of piezoelectric and dielectric properties was observed down to thickness of 0.1 mm, corresponding to an operational frequency of $24 MHz. These advantages of [111]-oriented tetragonal PIN-PMN-PT crystals will benefit high-frequency ultrasonic array transducers, allowing for high sensitivity, broad bandwidth, and reduced noise/crosstalk. Published by AIP Publishing. [http://dx

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Thermodynamic theory of PbTiO3

Cited by 511 publications

References 14 publications

Monodomain strained ferroelectricPbTiO3thin films: Phase transition and critical thickness study

Monodomain strained ferroelectricPbTiO3thin films: Phase transition and critical thickness study

Landau theoretical analyses of phase transitions and ferroelec-tricity in antiferroelectric ferroics

[111]-oriented PIN-PMN-PT crystals with ultrahigh dielectric permittivity and high frequency constant for high-frequency transducer applications

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