# Temperature-dependent elasticity of $\mathrm{Pb}\left[{\left(\mathrm{M}{\mathrm{g}}_{0.33}\mathrm{N}{\mathrm{b}}_{0.67}\right)}_{1\text{\u2212}x}\mathrm{T}{\mathrm{i}}_{x}\right]{\mathrm{O}}_{3}$

- Authors:

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1399294

- Resource Type:
- Publisher's Accepted Manuscript

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Name: Physical Review B Journal Volume: 96 Journal Issue: 13; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

## Citation Formats

```
Tennakoon, Sumudu, Gladden, Joseph, Mookherjee, Mainak, Besara, Tiglet, and Siegrist, Theo. Temperature-dependent elasticity of Pb [ ( M g 0.33 N b 0.67 ) 1 − x T i x ] O 3. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.134108.
```

```
Tennakoon, Sumudu, Gladden, Joseph, Mookherjee, Mainak, Besara, Tiglet, & Siegrist, Theo. Temperature-dependent elasticity of Pb [ ( M g 0.33 N b 0.67 ) 1 − x T i x ] O 3. United States. https://doi.org/10.1103/PhysRevB.96.134108
```

```
Tennakoon, Sumudu, Gladden, Joseph, Mookherjee, Mainak, Besara, Tiglet, and Siegrist, Theo. Fri .
"Temperature-dependent elasticity of Pb [ ( M g 0.33 N b 0.67 ) 1 − x T i x ] O 3". United States. https://doi.org/10.1103/PhysRevB.96.134108.
```

```
@article{osti_1399294,
```

title = {Temperature-dependent elasticity of Pb [ ( M g 0.33 N b 0.67 ) 1 − x T i x ] O 3},

author = {Tennakoon, Sumudu and Gladden, Joseph and Mookherjee, Mainak and Besara, Tiglet and Siegrist, Theo},

abstractNote = {},

doi = {10.1103/PhysRevB.96.134108},

journal = {Physical Review B},

number = 13,

volume = 96,

place = {United States},

year = {2017},

month = {10}

}

Free Publicly Available Full Text

Publisher's Version of Record

https://doi.org/10.1103/PhysRevB.96.134108

https://doi.org/10.1103/PhysRevB.96.134108

Other availability

Cited by: 3 works

*Citation information provided by*

Web of Science

Web of Science

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

##
Recent progress in relaxor ferroelectrics with perovskite structure

journal, January 2006

- Bokov, A. A.; Ye, Z. -G.
- Journal of Materials Science, Vol. 41, Issue 1

##
Rectangular parallelepiped resonance—A technique of resonance ultrasound and its applications to the determination of elasticity at high temperatures

journal, April 1992

- Anderson, Orson L.
- The Journal of the Acoustical Society of America, Vol. 91, Issue 4

##
Polarization rotation mechanism for ultrahigh electromechanical response in single-crystal piezoelectrics

journal, January 2000

- Fu, Huaxiang; Cohen, Ronald E.
- Nature, Vol. 403, Issue 6767

##
Complete set of material constants of Pb(In1/2Nb1/2)O3–Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystal with morphotropic phase boundary composition

journal, October 2009

- Liu, Xiaozhou; Zhang, Shujun; Luo, Jun
- Journal of Applied Physics, Vol. 106, Issue 7

##
Elastic Properties and Enhanced Piezoelectric Response at Morphotropic Phase Boundaries

journal, December 2015

- Cordero, Francesco
- Materials, Vol. 8, Issue 12

##
Synthesis and structure of PMN–PT ceramic nanopowder free from pyrochlore phase

journal, September 2009

- Ghasemifard, M.; Hosseini, S. M.; Khorrami, Gh. H.
- Ceramics International, Vol. 35, Issue 7

##
Powder neutron diffraction study of phase transitions in and a phase diagram of $(1-x)\left[\mathrm{Pb}\left({\mathrm{Mg}}_{1\u22153}{\mathrm{Nb}}_{2\u22153}\right){\mathrm{O}}_{3}\right]\text{\u2212}x\mathrm{Pb}\mathrm{Ti}{\mathrm{O}}_{3}$

journal, July 2006

- Singh, Akhilesh Kumar; Pandey, Dhananjai; Zaharko, Oksana
- Physical Review B, Vol. 74, Issue 2

##
Effective material properties in twinned ferroelectric crystals

journal, July 1999

- Erhart, Jiřı́; Cao, Wenwu
- Journal of Applied Physics, Vol. 86, Issue 2

##
Resonant ultrasound spectroscopy for materials studies and non-destructive testing

journal, June 1996

- Migliori, Albert; Darling, Timothy W.
- Ultrasonics, Vol. 34, Issue 2-5

##
Structural and dielectric studies of Pb(Mg1/3Nb2/3)O3–PbTiO3 ferroelectric solid solutions around the morphotropic boundary

journal, January 1996

- Noblanc, O.; Gaucher, P.; Calvarin, G.
- Journal of Applied Physics, Vol. 79, Issue 8

##
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

##
Free vibration of a rectangular parallelepiped crystal and its application to determination of elastic constants of orthorhombic crystals.

journal, January 1976

- Ohno, Ichiro
- Journal of Physics of the Earth, Vol. 24, Issue 4

##
Intrinsic Piezoelectric Response in Perovskite Alloys: PMN-PT versus PZT

journal, August 1999

- Bellaiche, L.; Vanderbilt, David
- Physical Review Letters, Vol. 83, Issue 7

##
The Elastic Behaviour of a Crystalline Aggregate

journal, May 1952

- Hill, R.
- Proceedings of the Physical Society. Section A, Vol. 65, Issue 5

##
Solving the Christoffel equation: Phase and group velocities

journal, October 2016

- Jaeken, Jan W.; Cottenier, Stefaan
- Computer Physics Communications, Vol. 207

##
On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects

journal, October 1991

- Visscher, William M.; Migliori, Albert; Bell, Thomas M.
- The Journal of the Acoustical Society of America, Vol. 90, Issue 4

##
The Voigt‐Reuss‐Hill (VRH) Approximation and the Elastic Moduli of Polycrystalline ZnO, TiO _{2} (Rutile), and α‐Al _{2} O _{3}

journal, May 1968

- Chung, D. H.; Buessem, W. R.
- Journal of Applied Physics, Vol. 39, Issue 6

##
Crossover in the mechanism of ferroelectric phase transition of $\text{Pb}\left[{\left({\text{Mg}}_{1/3}{\text{Nb}}_{2/3}\right)}_{1-x}{\text{Ti}}_{x}\right]{\text{O}}_{3}$ single crystals studied by Brillouin light scattering

journal, September 2010

- Ko, Jae-Hyeon; Kim, Do Han; Tsukada, Shinya
- Physical Review B, Vol. 82, Issue 10

##
Elastic, piezoelectric, and dielectric properties of 0.58Pb(Mg1/3Nb2/3)O3-0.42PbTiO3 single crystal

journal, July 2004

- Cao, Hu; Schmidt, V. Hugo; Zhang, Rui
- Journal of Applied Physics, Vol. 96, Issue 1

##
Phase diagram of ( 1−x) *PbMg* _{1/3} *Nb* _{2/3} O3−xPbTiO3 single crystals

journal, February 2015

- Qiu, J. H.; Ding, J. N.; Yuan, N. Y.
- Journal of Applied Physics, Vol. 117, Issue 7

##
Theory of ferroelectrics: a vision for the next decade and beyond

journal, February 2000

- Cohen, R. E.
- Journal of Physics and Chemistry of Solids, Vol. 61, Issue 2

##
Anomalous dispersion of the elastic constants at the phase transformation of the $\mathrm{Pb}{\mathrm{Mg}}_{1\u22153}{\mathrm{Nb}}_{2\u22153}{\mathrm{O}}_{3}$ relaxor ferroelectric

journal, March 2008

- Lushnikov, S. G.; Fedoseev, A. I.; Gvasaliya, S. N.
- Physical Review B, Vol. 77, Issue 10

##
Structure and high-piezoelectricity in lead oxide solid solutions

journal, February 2002

- Noheda, B.
- Current Opinion in Solid State and Materials Science, Vol. 6, Issue 1

##
The non-rhombohedral low-temperature structure of PMN–10% PT

journal, September 2004

- Gehring, P. M.; Chen, W.; Ye, Z-G
- Journal of Physics: Condensed Matter, Vol. 16, Issue 39

##
High performance ferroelectric relaxor-PbTiO _{3} single crystals: Status and perspective

journal, February 2012

- Zhang, Shujun; Li, Fei
- Journal of Applied Physics, Vol. 111, Issue 3

##
Giant electro-mechanical energy conversion in [011] cut ferroelectric single crystals

journal, January 2012

- Dong, Wen D.; Finkel, Peter; Amin, Ahmed
- Applied Physics Letters, Vol. 100, Issue 4

##
Glassy polarization behavior in ferroelectric compounds and

journal, December 1983

- Burns, Gerald; Dacol, F. H.
- Solid State Communications, Vol. 48, Issue 10

##
Implementation of a modern resonant ultrasound spectroscopy system for the measurement of the elastic moduli of small solid specimens

journal, December 2005

- Migliori, Albert; Maynard, J. D.
- Review of Scientific Instruments, Vol. 76, Issue 12

##
Elastic properties of tetragonal PbTiO _{3} single crystals by Brillouin scattering

journal, October 1997

- Kalinichev, A. G.; Bass, J. D.; Sun, B. N.
- Journal of Materials Research, Vol. 12, Issue 10

##
Recent developments on high Curie temperature PIN–PMN–PT ferroelectric crystals

journal, March 2011

- Zhang, Shujun; Li, Fei; Sherlock, Nevin P.
- Journal of Crystal Growth, Vol. 318, Issue 1

##
Phase transitional behavior and piezoelectric properties of the orthorhombic phase of Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystals

journal, May 2001

- Lu, Yu; Jeong, D. -Y.; Cheng, Z. -Y.
- Applied Physics Letters, Vol. 78, Issue 20

##
Cube‐Resonance Method to Determine the Elastic Constants of Solids

journal, March 1971

- Demarest, Harold H.
- The Journal of the Acoustical Society of America, Vol. 49, Issue 3B

##
Brillouin scattering and molecular dynamics study of the elastic properties of $\mathrm{Pb}\left({\mathrm{Mg}}_{1\u22153}{\mathrm{Nb}}_{2\u22153}\right){\mathrm{O}}_{3}$

journal, April 2007

- Ahart, Muhtar; Asthagiri, Aravind; Ye, Zuo-Guang
- Physical Review B, Vol. 75, Issue 14

##
High Temperature Resonant Ultrasound Spectroscopy: A Review

journal, January 2010

- Li, G.; Gladden, J. R.
- International Journal of Spectroscopy, Vol. 2010

##
First-principles based atomistic modeling of phase stability in PMN– *x* PT

journal, October 2011

- Sepliarsky, M.; Cohen, R. E.
- Journal of Physics: Condensed Matter, Vol. 23, Issue 43

##
High Performance Relaxor-Based Ferroelectric Single Crystals for Ultrasonic Transducer Applications

journal, July 2014

- Chen, Yan; Lam, Kwok-Ho; Zhou, Dan
- Sensors, Vol. 14, Issue 8

##
Anomalous elastic behavior of relaxor ferroelectric ${\mathrm{Ca}}_{0.28}{\mathrm{Ba}}_{0.72}{\mathrm{Nb}}_{2}{\mathrm{O}}_{6}$ single crystals

journal, November 2011

- Pandey, Chandra Shekhar; Schreuer, Jürgen; Burianek, Manfred
- Physical Review B, Vol. 84, Issue 17

##
Resonant ultrasound spectroscopy of ${\text{KTa}}_{1-x}{\text{Nb}}_{x}{\text{O}}_{3}$ ferroelectric relaxor crystals

journal, August 2008

- Svitelskiy, O.; Suslov, A. V.; Betts, J. B.
- Physical Review B, Vol. 78, Issue 6

##
Elastic properties of cubic relaxor ferroelectrics

journal, October 2008

- Fedoseev, A. I.; Lushnikov, S. G.
- Bulletin of the Russian Academy of Sciences: Physics, Vol. 72, Issue 10

##
Elastic relaxations associated with the Pm\bar {3}m –R\bar {3}c transition in LaAlO _{3} : III. Superattenuation of acoustic resonances

journal, December 2009

- Carpenter, M. A.; Buckley, A.; Taylor, P. A.
- Journal of Physics: Condensed Matter, Vol. 22, Issue 3

##
Thermal expansion properties of PMN–PT ceramics

journal, August 2008

- Wongmaneerung, Rewadee; Guo, Ruyan; Bhalla, Amar
- Journal of Alloys and Compounds, Vol. 461, Issue 1-2

##
Resonant ultrasound spectroscopy

journal, July 1997

- Leisure, R. G.; Willis, F. A.
- Journal of Physics: Condensed Matter, Vol. 9, Issue 28

##
Digital ultrasonic pulse-echo overlap system and algorithm for unambiguous determination of pulse transit time

journal, November 2005

- Pantea, Cristian; Rickel, Dwight G.; Migliori, Albert
- Review of Scientific Instruments, Vol. 76, Issue 11

##
Effect of composition and poling field on the properties and ferroelectric phase-stability of Pb(Mg1/3Nb2/3)O3–PbTiO3 crystals

journal, November 2002

- Guo, Yiping; Luo, Haosu; Chen, Kepi
- Journal of Applied Physics, Vol. 92, Issue 10

##
Ferroelastic aspects of relaxor ferroelectric behaviour in Pb(In _{1/2} Nb _{1/2} )O _{3} -Pb(Mg _{1/3} Nb _{2/3} )O _{3} -PbTiO _{3} perovskite

journal, March 2013

- Nataf, Guillaume F.; Li, Qian; Liu, Yun
- Journal of Applied Physics, Vol. 113, Issue 12

##
Phase diagram of the ferroelectric relaxor $\left(1\mathrm{}-x\right){\mathrm{PbMg}}_{1/3}{\mathrm{Nb}}_{2/3}{\mathrm{O}}_{3}-x{\mathrm{PbTiO}}_{3}$

journal, August 2002

- Noheda, B.; Cox, D. E.; Shirane, G.
- Physical Review B, Vol. 66, Issue 5

##
The phase transition sequence and the location of the morphotropic phase boundary region in (1 x)[Pb (Mg _{1/3} Nb _{2/3} )O _{3} ] xPbTiO _{3} single crystal

journal, January 2003

- Guo, Yiping; Luo, Haosu; Ling, Di
- Journal of Physics: Condensed Matter, Vol. 15, Issue 2

##
Elastic and anelastic relaxations in the relaxor ferroelectric Pb(Mg _{1/3} Nb _{2/3} )O _{3} : II. Strain–order parameter coupling and dynamic softening mechanisms

journal, December 2011

- Carpenter, M. A.; Bryson, J. F. J.; Catalan, G.
- Journal of Physics: Condensed Matter, Vol. 24, Issue 4

##
Structural transition in unpoled (1−x)PMN–xPT ceramics near the morphotropic boundary

journal, November 2006

- Li, Jing-Bo; Rao, GunagHui; Liu, GuangYao
- Journal of Alloys and Compounds, Vol. 425, Issue 1-2

##
Relaxor behavior of Ca ${}_{x}$ Ba ${}_{1-x}$ Nb ${}_{2}$ O ${}_{6}$ ( $0.18\le x\le 0.35$ ) tuned by Ca/Ba ratio and investigated by resonant ultrasound spectroscopy

journal, March 2013

- Pandey, Chandra Shekhar; Schreuer, Jürgen; Burianek, Manfred
- Physical Review B, Vol. 87, Issue 9

##
Microstructure and Electric Properties of Strontium Lanthanum Niobate Ceramics

journal, January 2012

- Fu, Chunlin; Liu, Huijiang; Chen, Gang
- Ferroelectrics, Vol. 432, Issue 1