Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O3–Pb[(In,Yb)Nb]O3–Pb(Zr,Hf,Ti)O3

Zhang, Jianbo; Liu, Hui; Sun, Shengdong; Liu, Ye; Gao, Botao; Deng, Shiqing; Fan, Longlong; Chen, Jun

doi:10.1063/5.0006390

Title: Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O₃–Pb[(In,Yb)Nb]O₃–Pb(Zr,Hf,Ti)O₃

Abstract

High-performance piezoelectrics are always demanded for the high-end application. In this study, a complex piezoelectric system of 0.49Pb(Zn_1/2Ni_1/2)_1/3Nb_2/3O₃–xPb(In_1/2Yb_1/2)_1/2Nb_1/2O₃–(0.51 –x)Pb(Zr_1/2Hf_1/2)_0.1Ti_0.9O₃ (0.16 ≤ x ≤ 0.23) was fabricated through the solid-state method. The structure, ferroelectric, piezoelectric, and dielectric properties were investigated. The optimum piezoelectric coefficient d₃₃ of 761 pC/N, high Curie temperature of 169 °C, dielectric permittivity (ε_r) of 4557, and electromechanical coupling coefficient (k_p) of 63% were found at the morphotropic phase boundary composition of x = 0.19, which are superior to other complex piezoelectric materials. In particular, a significant large-signal $d_{33}^{*}$ of 913 pm/V and low strain hysteresis (6%) was obtained in the temperature range of 20–170 °C. Temperature-dependent x-ray diffraction (XRD) has demonstrated that good temperature stability is put down to the structure stability. The agreement between the calculated lattice strain from in situ high-energy synchrotron XRD data and the macroscopic measurements suggests that the large lattice strain has a dominant contribution to the high piezoelectric response. The high piezoelectric performance and good temperature stability makes it potential for application.

Authors:

Zhang, Jianbo ^[1]; Liu, Hui ^[1]; Sun, Shengdong ^[1]; Liu, Ye ^[1]; Gao, Botao ^[1];

^[1]; Fan, Longlong ^[2];

^[1]

Univ. of Science and Technology, Beijing (China)
Tianjin Normal Univ. (China)

Publication Date:: Wed Jul 08 00:00:00 EDT 2020

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)

Sponsoring Org.:: USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); Fundamental Research Funds for the Central Universities (China); Japan Synchrotron Radiation Research Inst. (JASRI)

OSTI Identifier:: 1681216

Grant/Contract Number:: AC02-06CH11357; 21825102; 21701126; 21731001; FRF-TP-18-001C2; 2019A1167; 2019A1095; 2019A1340; 2019B1120

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Applied Physics

Additional Journal Information:: Journal Volume: 128; Journal Issue: 2; Journal ID: ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; ferroelectric materials; phase transitions; crystal structure; piezoelectric materials; ceramics; x-ray diffraction

Citation Formats


                    Zhang, Jianbo, Liu, Hui, Sun, Shengdong, Liu, Ye, Gao, Botao, Deng, Shiqing, Fan, Longlong, and Chen, Jun. Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O3–Pb[(In,Yb)Nb]O3–Pb(Zr,Hf,Ti)O3.  United States: N. p., 2020. 
Web.  doi:10.1063/5.0006390.

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                    Zhang, Jianbo, Liu, Hui, Sun, Shengdong, Liu, Ye, Gao, Botao, Deng, Shiqing, Fan, Longlong, & Chen, Jun. Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O3–Pb[(In,Yb)Nb]O3–Pb(Zr,Hf,Ti)O3.  United States.  https://doi.org/10.1063/5.0006390

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                    Zhang, Jianbo, Liu, Hui, Sun, Shengdong, Liu, Ye, Gao, Botao, Deng, Shiqing, Fan, Longlong, and Chen, Jun. Wed .  
"Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O3–Pb[(In,Yb)Nb]O3–Pb(Zr,Hf,Ti)O3".  United States.  https://doi.org/10.1063/5.0006390.  https://www.osti.gov/servlets/purl/1681216.

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@article{osti_1681216,

  title        = {Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O3–Pb[(In,Yb)Nb]O3–Pb(Zr,Hf,Ti)O3},

  author       = {Zhang, Jianbo and Liu, Hui and Sun, Shengdong and Liu, Ye and Gao, Botao and Deng, Shiqing and Fan, Longlong and Chen, Jun},

  abstractNote = {High-performance piezoelectrics are always demanded for the high-end application. In this study, a complex piezoelectric system of 0.49Pb(Zn1/2Ni1/2)1/3Nb2/3O3–xPb(In1/2Yb1/2)1/2Nb1/2O3–(0.51 –x)Pb(Zr1/2Hf1/2)0.1Ti0.9O3 (0.16 ≤ x ≤ 0.23) was fabricated through the solid-state method. The structure, ferroelectric, piezoelectric, and dielectric properties were investigated. The optimum piezoelectric coefficient d33 of 761 pC/N, high Curie temperature of 169 °C, dielectric permittivity (εr) of 4557, and electromechanical coupling coefficient (kp) of 63% were found at the morphotropic phase boundary composition of x = 0.19, which are superior to other complex piezoelectric materials. In particular, a significant large-signal d 33 * of 913 pm/V and low strain hysteresis (6%) was obtained in the temperature range of 20–170 °C. Temperature-dependent x-ray diffraction (XRD) has demonstrated that good temperature stability is put down to the structure stability. The agreement between the calculated lattice strain from in situ high-energy synchrotron XRD data and the macroscopic measurements suggests that the large lattice strain has a dominant contribution to the high piezoelectric response. The high piezoelectric performance and good temperature stability makes it potential for application.},

  doi          = {10.1063/5.0006390},

  journal      = {Journal of Applied Physics},

  number       = 2,

  volume       = 128,

  place        = {United States},

  year         = {Wed Jul 08 00:00:00 EDT 2020},

  month        = {Wed Jul 08 00:00:00 EDT 2020}

}

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Works referenced in this record:

Piezoelectric Properties of Lead Zirconate‐Lead Titanate Solid‐Solution Ceramics
journal, June 1954

Jaffe, B.; Roth, R. S.; Marzullo, S.
Journal of Applied Physics, Vol. 25, Issue 6
DOI: 10.1063/1.1721741

Monoclinic phase in the relaxor-based piezoelectric/ferroelectric ${P b (M g}_{1 / 3} {Nb}_{2 / 3} {) O}_{3} {- P b T i O}_{3}$ system
journal, October 2001

Ye, Z. -G.; Noheda, B.; Dong, M.
Physical Review B, Vol. 64, Issue 18
DOI: 10.1103/PhysRevB.64.184114

New Pb(Mg _1/3 Nb _2/3 )O ₃ –Pb(In _1/2 Nb _1/2 )O ₃ –PbZrO ₃ –PbTiO ₃ Quaternary Ceramics: Morphotropic Phase Boundary Design and Electrical Properties
journal, June 2016

Luo, Nengneng; Zhang, Shujun; Li, Qiang
ACS Applied Materials & Interfaces, Vol. 8, Issue 24
DOI: 10.1021/acsami.6b04432

Evidence for $M_{B}$ and $M_{C}$ phases in the morphotropic phase boundary region of $(1 - x) [Pb ({Mg}_{1 / 3} {Nb}_{2 / 3}) O_{3}] - x {PbTiO}_{3} :$ A Rietveld study
journal, February 2003

Singh, Akhilesh Kumar; Pandey, Dhananjai
Physical Review B, Vol. 67, Issue 6
DOI: 10.1103/PhysRevB.67.064102

Structural phase-transition region and electrical properties of Pb(Ni1∕3Nb2∕3)O3–Pb(Zn1∕3Nb2∕3)O3–PbTiO3 ceramics
journal, February 2006

Pan, Jing-Song; Zhang, Xiao-Wen
Journal of Applied Physics, Vol. 99, Issue 3
DOI: 10.1063/1.2169871

Third ferroelectric phase in PMNT single crystals near the morphotropic phase boundary composition
journal, June 2001

Xu, Guisheng; Luo, Haosu; Xu, Haiqing
Physical Review B, Vol. 64, Issue 2
DOI: 10.1103/PhysRevB.64.020102

Intermediate ferroelectric orthorhombic and monoclinic $M_{B}$ phases in [110] electric-field-cooled $Pb ({Mg}_{1 ∕ 3} {Nb}_{2 ∕ 3}) O_{3}$ –30% $Pb Ti O_{3}$ crystals
journal, August 2005

Cao, Hu; Bai, Feiming; Wang, Naigang
Physical Review B, Vol. 72, Issue 6
DOI: 10.1103/PhysRevB.72.064104

Investigation of dielectric and piezoelectric properties in Pb(Ni1/3Nb2/3)O3–PbHfO3–PbTiO3 ternary system
journal, November 2013

Tang, H.; Zhang, M. F.; Zhang, S. J.
Journal of the European Ceramic Society, Vol. 33, Issue 13-14
DOI: 10.1016/j.jeurceramsoc.2013.04.010

Ultrahigh piezoelectricity in ferroelectric ceramics by design
journal, March 2018

Li, Fei; Lin, Dabin; Chen, Zibin
Nature Materials, Vol. 17, Issue 4
DOI: 10.1038/s41563-018-0034-4

Electrical and ferroelectric properties of undoped and La-doped PZT (52/48) electroceramics synthesized by sol–gel method
journal, February 2013

Prabu, M.; Shameem Banu, I. B.; Gobalakrishnan, S.
Journal of Alloys and Compounds, Vol. 551
DOI: 10.1016/j.jallcom.2012.09.095

Local Structural Heterogeneity and Electromechanical Responses of Ferroelectrics: Learning from Relaxor Ferroelectrics
journal, July 2018

Li, Fei; Zhang, Shujun; Damjanovic, Dragan
Advanced Functional Materials, Vol. 28, Issue 37
DOI: 10.1002/adfm.201801504

Phase Diagram and Properties of High T _C / T _R−T Pb(In _1/2 Nb _1/2 ) O ₃ -Pb(Zn _1/3 Nb _2/3 )O ₃ -PbTiO ₃ Ferroelectric Ceramics
journal, May 2013

Li, Tao; Li, Xiuzhi; Guo, Dong
Journal of the American Ceramic Society, Vol. 96, Issue 5
DOI: 10.1111/jace.12213

Structural Evidence for Strong Coupling between Polarization Rotation and Lattice Strain in Monoclinic Relaxor Ferroelectrics
journal, July 2017

Liu, Hui; Chen, Jun; Fan, Longlong
Chemistry of Materials, Vol. 29, Issue 14
DOI: 10.1021/acs.chemmater.7b01552

Both electric field and temperature independent behavior of piezoelectric property of Pb(Ni1/3Nb2/3)O3–PbTiO3
journal, January 2015

Pan, Zhao; Chen, Jun; Fan, Longlong
Materials Research Bulletin, Vol. 61
DOI: 10.1016/j.materresbull.2014.10.063

Ferroelectric Ceramics: History and Technology
journal, April 1999

Haertling, Gene H.
Journal of the American Ceramic Society, Vol. 82, Issue 4, p. 797-818
DOI: 10.1111/j.1151-2916.1999.tb01840.x

Dielectric and pyroelectric properties in the Pb(Mg _1/3 Nb _2/3 )O ₃ -PbTiO ₃ system
journal, December 1989

Choi, S. W.; Shrout, R. T. R.; Jang, S. J.
Ferroelectrics, Vol. 100, Issue 1
DOI: 10.1080/00150198908007897

Preparation, structure, and electric properties of the Pb(Zn1/3Nb2/3)O3–Pb(Yb1/2Nb1/2)O3–PbTiO3 ternary ferroelectric system ceramics near the morphotropic phase boundary
journal, October 2013

Ai, Liaodong; Li, Xiuzhi; Wang, Zujian
Journal of the European Ceramic Society, Vol. 33, Issue 11
DOI: 10.1016/j.jeurceramsoc.2013.03.013

Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals
journal, August 1997

Park, Seung-Eek; Shrout, Thomas R.
Journal of Applied Physics, Vol. 82, Issue 4
DOI: 10.1063/1.365983

Neutron diffraction study of the polarization reversal mechanism in [111]c-oriented Pb(Zn1∕3Nb2∕3)O3−xPbTiO3
journal, May 2007

Daniels, John E.; Finlayson, Trevor R.; Davis, Matthew
Journal of Applied Physics, Vol. 101, Issue 10
DOI: 10.1063/1.2733636

Temperature dependence of piezoelectric properties of high-TC Bi(Mg1/2Ti1/2)O3–PbTiO3
journal, August 2009

Chen, Jun; Tan, Xiaoli; Jo, Wook
Journal of Applied Physics, Vol. 106, Issue 3
DOI: 10.1063/1.3191666

Giant piezoelectricity of Sm-doped Pb(Mg _1/3 Nb _2/3 )O ₃ -PbTiO ₃ single crystals
journal, April 2019

Li, Fei; Cabral, Matthew J.; Xu, Bin
Science, Vol. 364, Issue 6437
DOI: 10.1126/science.aaw2781

Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction
journal, May 2015

Daniel, L.; Hall, D. A.; Koruza, J.
Journal of Applied Physics, Vol. 117, Issue 17
DOI: 10.1063/1.4918928

Unique Piezoelectric Properties of the Monoclinic Phase in $Pb (Zr, Ti) O_{3}$ Ceramics: Large Lattice Strain and Negligible Domain Switching
journal, January 2016

Fan, Longlong; Chen, Jun; Ren, Yang
Physical Review Letters, Vol. 116, Issue 2
DOI: 10.1103/PhysRevLett.116.027601

Study of the structure and dielectric relaxation behavior of Pb(Ni1/3Nb2/3)–PbTiO3 ferroelectric ceramics
journal, August 2002

Lei, Chao; Chen, Kepi; Zhang, Xiaowen
Solid State Communications, Vol. 123, Issue 10
DOI: 10.1016/S0038-1098(02)00371-X

Characterization and high piezoelectric performance of Pb(Fe _1/2 Nb _1/2 )O ₃ –Pb(In _1/2 Nb _1/2 )O ₃ –PbTiO ₃ ternary ceramics
journal, January 2019

Zhu, Guanyu; Liu, Hui; Sun, Shengdong
Inorganic Chemistry Frontiers, Vol. 6, Issue 11
DOI: 10.1039/C9QI01022J

Role of Reversible Phase Transformation for Strong Piezoelectric Performance at the Morphotropic Phase Boundary
journal, January 2018

Liu, Hui; Chen, Jun; Huang, Houbing
Physical Review Letters, Vol. 120, Issue 5
DOI: 10.1103/PhysRevLett.120.055501

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Title: Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O3–Pb[(In,Yb)Nb]O3–Pb(Zr,Hf,Ti)O3

Abstract

Citation Formats

Piezoelectric Properties of Lead Zirconate‐Lead Titanate Solid‐Solution Ceramics journal, June 1954

Monoclinic phase in the relaxor-based piezoelectric/ferroelectric P b ( M g 1 / 3 Nb 2 / 3 ) O 3 − P b T i O 3 system journal, October 2001

New Pb(Mg 1/3 Nb 2/3 )O 3 –Pb(In 1/2 Nb 1/2 )O 3 –PbZrO 3 –PbTiO 3 Quaternary Ceramics: Morphotropic Phase Boundary Design and Electrical Properties journal, June 2016

Evidence for M B and M C phases in the morphotropic phase boundary region of ( 1 − x ) [ Pb ( Mg 1 / 3 Nb 2 / 3 ) O 3 ] − x PbTiO 3 : A Rietveld study journal, February 2003

Structural phase-transition region and electrical properties of Pb(Ni1∕3Nb2∕3)O3–Pb(Zn1∕3Nb2∕3)O3–PbTiO3 ceramics journal, February 2006

Third ferroelectric phase in PMNT single crystals near the morphotropic phase boundary composition journal, June 2001

Intermediate ferroelectric orthorhombic and monoclinic M B phases in [110] electric-field-cooled Pb ( Mg 1 ∕ 3 Nb 2 ∕ 3 ) O 3 –30% Pb Ti O 3 crystals journal, August 2005

Investigation of dielectric and piezoelectric properties in Pb(Ni1/3Nb2/3)O3–PbHfO3–PbTiO3 ternary system journal, November 2013

Ultrahigh piezoelectricity in ferroelectric ceramics by design journal, March 2018

Electrical and ferroelectric properties of undoped and La-doped PZT (52/48) electroceramics synthesized by sol–gel method journal, February 2013

Local Structural Heterogeneity and Electromechanical Responses of Ferroelectrics: Learning from Relaxor Ferroelectrics journal, July 2018

Phase Diagram and Properties of High T C / T R−T Pb(In 1/2 Nb 1/2 ) O 3 -Pb(Zn 1/3 Nb 2/3 )O 3 -PbTiO 3 Ferroelectric Ceramics journal, May 2013

Structural Evidence for Strong Coupling between Polarization Rotation and Lattice Strain in Monoclinic Relaxor Ferroelectrics journal, July 2017

Both electric field and temperature independent behavior of piezoelectric property of Pb(Ni1/3Nb2/3)O3–PbTiO3 journal, January 2015

Ferroelectric Ceramics: History and Technology journal, April 1999

Dielectric and pyroelectric properties in the Pb(Mg 1/3 Nb 2/3 )O 3 -PbTiO 3 system journal, December 1989

Preparation, structure, and electric properties of the Pb(Zn1/3Nb2/3)O3–Pb(Yb1/2Nb1/2)O3–PbTiO3 ternary ferroelectric system ceramics near the morphotropic phase boundary journal, October 2013

Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals journal, August 1997

Neutron diffraction study of the polarization reversal mechanism in [111]c-oriented Pb(Zn1∕3Nb2∕3)O3−xPbTiO3 journal, May 2007

Temperature dependence of piezoelectric properties of high-TC Bi(Mg1/2Ti1/2)O3–PbTiO3 journal, August 2009

Giant piezoelectricity of Sm-doped Pb(Mg 1/3 Nb 2/3 )O 3 -PbTiO 3 single crystals journal, April 2019

Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction journal, May 2015

Unique Piezoelectric Properties of the Monoclinic Phase in Pb ( Zr , Ti ) O 3 Ceramics: Large Lattice Strain and Negligible Domain Switching journal, January 2016

Study of the structure and dielectric relaxation behavior of Pb(Ni1/3Nb2/3)–PbTiO3 ferroelectric ceramics journal, August 2002

Characterization and high piezoelectric performance of Pb(Fe 1/2 Nb 1/2 )O 3 –Pb(In 1/2 Nb 1/2 )O 3 –PbTiO 3 ternary ceramics journal, January 2019

Role of Reversible Phase Transformation for Strong Piezoelectric Performance at the Morphotropic Phase Boundary journal, January 2018

Title: Structure and good piezoelectric performance in the complex system of Pb[(Zn,Ni)Nb]O₃–Pb[(In,Yb)Nb]O₃–Pb(Zr,Hf,Ti)O₃

Piezoelectric Properties of Lead Zirconate‐Lead Titanate Solid‐Solution Ceramics
journal, June 1954

Monoclinic phase in the relaxor-based piezoelectric/ferroelectric ${P b (M g}_{1 / 3} {Nb}_{2 / 3} {) O}_{3} {- P b T i O}_{3}$ system
journal, October 2001

New Pb(Mg _1/3 Nb _2/3 )O ₃ –Pb(In _1/2 Nb _1/2 )O ₃ –PbZrO ₃ –PbTiO ₃ Quaternary Ceramics: Morphotropic Phase Boundary Design and Electrical Properties
journal, June 2016

Evidence for $M_{B}$ and $M_{C}$ phases in the morphotropic phase boundary region of $(1 - x) [Pb ({Mg}_{1 / 3} {Nb}_{2 / 3}) O_{3}] - x {PbTiO}_{3} :$ A Rietveld study
journal, February 2003

Structural phase-transition region and electrical properties of Pb(Ni1∕3Nb2∕3)O3–Pb(Zn1∕3Nb2∕3)O3–PbTiO3 ceramics
journal, February 2006

Third ferroelectric phase in PMNT single crystals near the morphotropic phase boundary composition
journal, June 2001

Intermediate ferroelectric orthorhombic and monoclinic $M_{B}$ phases in [110] electric-field-cooled $Pb ({Mg}_{1 ∕ 3} {Nb}_{2 ∕ 3}) O_{3}$ –30% $Pb Ti O_{3}$ crystals
journal, August 2005

Investigation of dielectric and piezoelectric properties in Pb(Ni1/3Nb2/3)O3–PbHfO3–PbTiO3 ternary system
journal, November 2013

Ultrahigh piezoelectricity in ferroelectric ceramics by design
journal, March 2018

Electrical and ferroelectric properties of undoped and La-doped PZT (52/48) electroceramics synthesized by sol–gel method
journal, February 2013

Local Structural Heterogeneity and Electromechanical Responses of Ferroelectrics: Learning from Relaxor Ferroelectrics
journal, July 2018

Phase Diagram and Properties of High T _C / T _R−T Pb(In _1/2 Nb _1/2 ) O ₃ -Pb(Zn _1/3 Nb _2/3 )O ₃ -PbTiO ₃ Ferroelectric Ceramics
journal, May 2013

Structural Evidence for Strong Coupling between Polarization Rotation and Lattice Strain in Monoclinic Relaxor Ferroelectrics
journal, July 2017

Both electric field and temperature independent behavior of piezoelectric property of Pb(Ni1/3Nb2/3)O3–PbTiO3
journal, January 2015

Ferroelectric Ceramics: History and Technology
journal, April 1999

Dielectric and pyroelectric properties in the Pb(Mg _1/3 Nb _2/3 )O ₃ -PbTiO ₃ system
journal, December 1989

Preparation, structure, and electric properties of the Pb(Zn1/3Nb2/3)O3–Pb(Yb1/2Nb1/2)O3–PbTiO3 ternary ferroelectric system ceramics near the morphotropic phase boundary
journal, October 2013

Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals
journal, August 1997

Neutron diffraction study of the polarization reversal mechanism in [111]c-oriented Pb(Zn1∕3Nb2∕3)O3−xPbTiO3
journal, May 2007

Temperature dependence of piezoelectric properties of high-TC Bi(Mg1/2Ti1/2)O3–PbTiO3
journal, August 2009

Giant piezoelectricity of Sm-doped Pb(Mg _1/3 Nb _2/3 )O ₃ -PbTiO ₃ single crystals
journal, April 2019

Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction
journal, May 2015

Unique Piezoelectric Properties of the Monoclinic Phase in $Pb (Zr, Ti) O_{3}$ Ceramics: Large Lattice Strain and Negligible Domain Switching
journal, January 2016

Study of the structure and dielectric relaxation behavior of Pb(Ni1/3Nb2/3)–PbTiO3 ferroelectric ceramics
journal, August 2002

Characterization and high piezoelectric performance of Pb(Fe _1/2 Nb _1/2 )O ₃ –Pb(In _1/2 Nb _1/2 )O ₃ –PbTiO ₃ ternary ceramics
journal, January 2019

Role of Reversible Phase Transformation for Strong Piezoelectric Performance at the Morphotropic Phase Boundary
journal, January 2018