Abstract
X-ray and neutron diffraction have become powerful characterization tools in materials research. Their leading use in the characterization of piezoelectric ceramics includes the determination of structure, phase evolution, crystallographic texture, and lattice strain. The inherent electromechanical coupling of piezoelectric materials also allows the direct characterization of the converse piezoelectric effect. New advances in diffraction capabilities have recently enabled new problem solutions within this field. For example, the use of microdiffraction has the potential to characterize structural defects including cracks and domain walls. The development of time-resolved techniques has further opened doors to characterizing ferroelectrics in real-time under the application of cyclic electric fields. These recent advances as well as traditional uses of X-ray and neutron diffraction in the characterization of piezoelectric materials and the phenomenon of piezoelectricity are explored in this review. A focus is on characterization of bulk, polycrystalline ceramics, though novel approaches in thin films and single crystals are also reviewed. Challenges and future opportunities are discussed.
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References
E.C. Subbarao, M.C. McQuarrie, W.R. Buessem, J. Appl. Phys. 28, 1194 (1957)
B.D. Cullity, Elements of X-ray Diffraction, 2nd ed. (Addison-Wesley, Reading, MA, USA, 1978), p. 335
B. Noheda, J.A. Gonzalo, L.E. Cross, R. Guo, S.-E. Park, D.E. Cox, G. Shirane, Phys. Rev. B 61, 8687 (2000)
H.M. Rietveld, J. Appl. Crystallogr. 2, 65 (1969)
L.B. McCuster, R.B. Von Dreele, D.E. Cox, D. Louer, P. Scardi, J. Appl. Crystallogr. 32, 36 (1999)
R.A. Young, E. Prince, R.A. Sparks, J. Appl. Crystallogr. 15, 357 (1982)
R.A. Young, The Rietveld Method (Oxford University Press, Oxford, UK, 1995)
A.K. Cheetham, in Structure Determination from Powder Diffraction Data, ed. by W.I.F. David, K. Shankland, L.B. McCusker, Ch. Baerlocher (International Union of Crystallography, 2002), p. 13
C. Bedoya, Ch. Muller, J.-L. Baudour, V. Madigou, M. Anne, M. Roubin, Mater. Sci. Eng. B 75, 43 (2000)
D.L. Corker, A.M. Glazer, R.W. Whatmore, A. Stallard, F. Fauth, J. Phys: Condens. Matter 10, 6251 (1998)
J. Rouquette, J. Haines, V. Bornand, M. Pintard, Ph. Papet, W.G. Marshall, S. Hull, Phys. Rev. B 71, 024112 (2005)
J.S. Forrester, E.H. Kisi, K.S. Knight, C.J. Howard, J. Phys.: Condens. Matter 18, L233 (2006)
A.K. Singh, D. Pandey, Phys. Rev. B 67, 064102 (2003)
A.K. Singh, D. Pandey, O. Zaharko, Phys. Rev. B 68, 172103 (2003)
A.K. Singh, D. Pandey, O. Zaharko, Phys. Rev. B 74, 024101 (2006)
J.-M. Kiat, Y. Uesu, B. Dkhil, M. Matsuda, C. Malibert, G. Calvarin, Phys. Rev. B 65, 064106 (2002)
R.M. Ibberson, S.M. Moussa, M.J. Rosseinsky, A.N. Fitch, D. Iddles, T. Price, J. Am. Ceram. Soc. 89, 1827 (2006)
I. Masuda, K.-I. Kakimoto, H. Ohsato, J. Electroceramics 13, 555 (2004)
J.L. Jones, E.B. Slamovich, K.J. Bowman, J. Mater. Res. 19, 3414 (2004)
Ismunandar, T. Kamiyama, A. Hoshikawa, Q. Zhou, B.J. Kennedy, Y. Kubota, K. Kato, J. Solid State Chem., 177, 4188 (2004)
A. Le Bail, H. Duroy, J.L. Fourquet, Mater. Res. Bull. 23, 447 (1988)
A. Sani, B. Noheda, I.A. Kornev, L. Bellaiche, P. Bouvier, J. Kreisel, Phys. Rev. B 69, 020105(R) (2004)
Y. Shimakawa, Y. Kubo, Y. Nakagawa, T. Kamiyama, H. Asano, F. Izumi, Appl. Phys. Lett., 74, 1904 (1999)
R.B. Von Dreele, in The Rietveld Method, ed. by R.A. Young (International Union of Crystallography, 1993), p. 227
N.C. Popa, D. Balzar, J. Appl. Crystallogr. 34, 187 (2001)
J.V. Bernier, M.P. Miller, J. Appl. Crystallogr. 39, 358 (2006)
S.J.L. Billinge, M.G. Kanatzidis, Chem. Comm. 749 (2004)
P. Juhás, D.M. Cherba, P.M. Duxbury, W.F. Punch, S.J.L. Billinge, Nature 440, 655 (2006)
A. Sehirlioglu, D.A. Payne, S.R. Wilson, P. Han, Appl. Phys. Lett. 89, 092903 (2006)
Y.M. Jin, Y.U. Wang, A.G. Khachaturyan, J.F. Li, D. Viehland, Phys. Rev. Lett. 91, 197601 (2003)
Y.M. Jin, Y.U. Wang, A.G. Khachaturyan, J.F. Li, D. Viehland, J. Appl. Phys 94, 3629 (2003)
F. Bai, J. Li, D. Viehland, J. Appl. Phys. 97, 054103 (2005)
H. He, X. Tan, Phys. Rev. B. 72, 024102 (2005)
W. Dmowski, T. Egami, L. Farber, P. K. Davies, in Fundamental Physics of Ferroelectrics 2001, ed. by H. Krakauer (American Institute of Physics, 2001), p. 33
T. Egami, W. Dmowski, Ceram. Trans. 136, 3 (2003)
N.C. Popa, J. Appl. Crystallogr., 25, 611 (1992)
S. Matthies, L. Lutterotti, H.R. Wenk, J. Appl. Crystallogr. 30 31 (1997)
D.C. Lupascu, M. Hammer, Phys. Status Solidi. A 191, 643 (2002)
D. Damjanovic, J. Am. Ceram. Soc. 88, 2663 (2005)
B. Noheda, D.E. Cox, G. Shirane, J.A. Gonzalo, L.E. Cross, S.-E. Park, Appl. Phys. Lett. 74, 2059 (1999)
R. Guo, L.E. Cross, S.-E. Park, B. Noheda, D.E. Cox, G. Shirane, Phys. Rev. Lett. 84, 5423 (2000)
B. Noheda, D.E. Cox, Phase Transit. 79, 5 (2006)
M. Davis, J. Electroceramics (in press)
M.J. Hoffmann, M. Hammer, A. Endriss, D.C Lupascu, Acta Mater. 49, 1301 (2001)
R.C. Rogan, E. Üstündag, B. Clausen, M.R. Daymond, J. Appl. Phys. 93, 4104 (2003)
S.T. Misture, J. Electroceramics 16, 167 (2006)
U.F. Kocks, C.N. Tomé, H.-R. Wenk, Texture and Anisotropy (Cambridge University Press, Cambridge, UK, 2000)
J.L. Jones, E.B. Slamovich, K.J. Bowman, Mater. Sci. Forum 495–497, 1401 (2005)
T. Takenaka, K. Sakata, J. Appl. Phys. 55, 1092 (1984)
B.H. Venkataraman, K.B.R. Varma, J. Mater. Sci. 38, 4895 (2003)
Y. Sakuma, T. Kimura, J. Electroceramics 13, 537 (2004)
J.L. Jones, E.B. Slamovich, K.J. Bowman, D.C. Lupascu, J. Appl. Phys. 98, 104102 (2005)
M.V. Gelfuso, D. Thomazini, J.A. Eiras, J. Am. Ceram. Soc. 82, 2368 (1999)
J.S. Patwardhan, M.N. Rahaman, J. Mater. Sci. 39, 133 (2004)
C. Duran, S. Trolier-McKinstry, G.L. Messing, J. Mater. Res. 18, 228 (2003)
W. Chen, Y. Kinemuchi, K. Watari, T. Tamura, K. Miwa, J. Am. Ceram. Soc. 89, 381 (2006)
E.M. Sabolsky, A.R. James, S. Kwon, S. Trolier-McKinstry, G.L. Messing, Appl. Phys. Lett. 78, 2551 (2001)
S. Kwon, E.M. Sabolsky, G.L. Messing, S. Trolier-McKinstry, J. Am. Ceram. Soc. 88, 312 (2005)
K.H. Brosnan, G.L. Messing, R.J. Meyer Jr., M.D. Vaudin, J. Am. Ceram. Soc. 89, 1965 (2006)
H. Yilmaz, G.L. Messing, S. Trolier-McKinstry, J. Electroceramics 11, 207 (2003)
H. Yilmaz, S. Trolier-McKinstry, G.L. Messing, J. Electroceramics 11, 217 (2003)
G.L. Messing, S. Trolier-McKinstry, E.M. Sabolsky, C. Duran, S. Kwon, B. Brahmaroutu, P. Park, H. Yilmaz, P.W. Rehrig, K.B. Eitel, E. Suvaci, M. Seabaugh, K.S. Oh, Crit. Rev. Solid State Mater. Sci. 29, 45 (2004)
F.K. Lotgering, J. Inorg. Nucl. Chem. 9, 113 (1959)
A. March, Z. Kristallogr. Mineral. Petrogr./Abteilung A. 81, 285 (1932)
W.A. Dollase, J. Appl. Crystallogr. 19, 267 (1986)
H.-J. Bunge, Texture Analysis in Materials Science (Butterworths, London, UK, 1982)
H.-R. Wenk, Preferred Orientation in Deformed Metals and Rocks: An Introduction to Modern Texture Analysis (Academic, Orlando, FL, USA, 1985).
H.-R. Wenk, L. Lutterotti, S.C. Vogel, Nucl. Instr. Meth. Phys. Res. A, 515, 575 (2003)
J.L. Jones, S.C. Vogel, E.B. Slamovich, K.J. Bowman, Scripta Mater. 51, 1123 (2004)
J. Ricote, D. Chateigner, L. Pardo, M. Algueró, J. Mendiola, M.L. Calzada, Ferroelectrics 241, 167 (2000)
J. Ricote, D. Chateigner, Ceramic Y Vidrio 38, 587 (1999)
J. Ricote, D. Chateigner, J. Appl. Crystallogr. 37, 91 (2004)
R.E. Garcia, W.C. Carter, S.A. Langer, J. Am. Ceram. Soc. 88, 750 (2005)
J.A. Ruglovsky, J. Li, K. Bhattacharya, H.A. Atwater, Acta Mater. 54, 3657 (2006)
H.J. Bunge, R.A. Schwarzer, Adv. Eng. Mater. 3, 25 (2001)
K.J. Bowman, I.-W. Chen, J. Am. Ceram. Soc. 76, 113 (1993)
M.G. Cain, S.M. Bennington, M.H. Lewis, S. Hull, Phil. Mag. B 69, 499 (1994)
Y. Ma, E.H. Kisi, S.J. Kennedy, A.J. Studer, J. Am. Ceram. Soc. 87, 465 (2004)
K. Kleveland, N. Orlovskaya, T. Grande, A. M.M. Moe, M.-A. Einarsrud, K. Breder, Gogotsi, J. Am. Ceram. Soc. 84, 2029 (2001)
S. Faaland, T. Grande, M.-A. Einarsrud, P.E. Vullum, R. Holmestad, J. Am. Ceram. Soc. 88, 726 (2005)
P.E. Vullum, J. Mastin, J. Wright, M.-A. Einarsrud, R. Holmestad, T. Grande, Acta Mater., 54, 2615 (2006)
J.L. Jones, M. Hoffman, K.J. Bowman, J. Appl. Phys. 98, 024115 (2005)
J.S. Forrester, E.H. Kisi, A.J. Studer, J. Eur. Ceram. Soc. 25, 447 (2005)
D.A. Hall, A. Steuwer, B. Cherdhirunkorn, T. Mori, P.J. Withers, Acta Mater. 54, 3075 (2006)
J.L. Jones, E.B. Slamovich, K.J. Bowman, J. Appl. Phys. 97, 034113 (2005)
S. Hackemann, W. Pfeiffer, J. Eur. Ceram. Soc. 23, 1414 (2003)
D.A. Hall, A. Steuwer, B. Cherdhirunkorn, P.J. Withers, T. Mori, Mater. Sci. Eng. A 409, 206 (2005)
X. Zheng, J. Li, Y. Zhou, Acta Mater. 52, 3313 (2004)
W. Chang, A. King, K.J. Bowman, Appl. Phys. Lett. 88, 242901 (2006)
J.E. Daniels, J.L. Jones, T.R. Finlayson, J. Phys. D: Appl Phys 39, 5294 (2006)
J.L. Jones, M. Hoffman, S.C. Vogel, Mech. Mater. 39, 283 (2007)
J.L. Jones, M. Hoffman, J.E. Daniels, A.J. Studer, Appl. Phys. Lett. 89, 092901 (2006)
A. Grigoriev, D.-H. Do, D.M. Kim, C.-B. Eom, B. Adams, E.M. Dufresne, P.G. Evans, Phys. Rev. Lett. 96, 187601 (2006)
Q. Du, J. Li, W. Nothwang, M.W. Cole, Acta Mater., 54, 2577 (2006)
A. Sehirlioglu, D.A. Payne, P. Han, Phys. Rev. B, 72, 214110 (2005)
K.R. Kendall, C. Navas, J.K. Thomas, H.-C. zur Loye, Chem. Mater. 8, 642 (1996)
R.R. Das, D.M. Kim, S.H. Baek, C.B. Eom, F. Zavaliche, S.Y. Yang, R. Ramesh, Y.B. Chen, X.Q. Pan, X. Ke, M.S. Rzchowski, S.K. Streiffer, Appl. Phys. Lett. 88, 242904 (2006)
B.D. Cullity, Elements of X-ray Diffraction, 2nd ed. (Addison-Wesley, Reading, MA, USA, 1978), p. 447
A. Endriss, M. Hammer, M.J. Hoffmann, A. Kolleck, G.A. Schneider, J. Eur. Ceram. Soc. 19, 1229 (1999)
J.-T. Reszat, A.E. Glazounov, M.J. Hoffmann, J. Eur. Ceram. Soc. 21, 1249 (2001)
D.A. Hall, A. Steuwer, B. Cherdhirunkorn, T. Mori, P.J. Withers, J. Appl. Phys. 96, 4245 (2004)
X.-h. Du, J. Zheng, U. Belegundu, K. Uchino, Appl. Phys. Lett. 72, 2421 (1998)
M. Budimir, D. Damjanovic, N. Setter, Phys. Rev. B, 73, 174106 (2006)
A.J. Bell, J. Mater. Sci. 41, 13 (2006)
D. Damjanovic, M. Budimir, M. Davis, N. Setter, J. Mater. Sci. 41, 65 (2006)
J.L. Jones, M. Hoffman, J. Am. Ceram. Soc. 89, 3721 (2006)
K. Shirakihara, K. Tanaka, Y. Akiniwa, Y. Sakaida, H. Mukai, Mater. Sci. Res. Intl. 8, 26 (2002)
J.L. Jones, M. Hoffman, S.C. Vogel, Physica B 385–386, 548 (2006)
M.R. Daymond, M.A.M. Bourke, R.B. Von Dreele, B. Clausen, T. Lorentzen, J. Appl. Phys. 82, 1554 (1997)
M.R. Daymond, J. Appl. Phys. 96, 4263 (2004)
A.I. Ustinov, J.-C. Niepce, C. Valot, L.A. Olikhovska, F. Bernard, Mater. Sci. Forum 321–324, 109 (2000)
S.A. Hayward, E.K.H. Salje, Z. Kristallogr. 220, 994 (2005)
H. Boysen, Z. Kristallogr. 220, 726 (2005)
A.M. Glazer, P.A. Thomas, K.Z. Baba-Kishi, G.K.H. Pang, C.W. Tai, Phys. Rev. B. 70, 184123 (2004)
C. Stock, D. Ellis, I.P. Swainson, G. Xu, H. Hiraka, Z. Zhong, H. Luo, X. Zhao, D. Viehland, R.J. Birgeneau, G. Shirane, Phys. Rev. B 73, 064107 (2006)
G. Xu, Z. Zhong, Y. Bing, Z.-G. Ye, G. Shirane, Nature Mater. 5, 134 (2006)
R.C. Rogan, N. Tamura, G.A. Swift, E. Üstündag, Nature Mater. 2, 379 (2003)
D.-H. Do, P.G. Evans, E.D. Isaacs, D.M. Kim, C.B. Eom, E.M. Dufresne, Nature Mater. 3, 365 (2004)
B. Jakobsen, H.F. Poulsen, U. Lienert, J. Almer, S.D. Shastri, H.O. Sørensen, C. Gundlach, W. Pantleon, Science 312, 889 (2006)
D. Juul Jensen, E.M. Lauridsen, L. Margulies, H.F. Poulsen, S. Schmidt, H. O. Sørensen, G.B.M. Vaughan, Materials Today 9, 18 (2006)
E. Zolotoyabko, J.P. Quintana, B.H. Hoerman, B.W. Wessels, Appl. Phys. Lett. 80, 3159 (2002)
G. Eckold, H. Gibhardt, D. Caspary, P Elter, K. Elisbihani, Z. Kristallogr. 218, 144 (2003)
R.J. Harrison, S.A. T. Redfern, A. Buckley, E.K. H. Salje, J. Appl. Phys. 95, 1706 (2004)
J.L. Jones, M. Hoffman, J.E. Daniels, A.J. Studer, Physica B 385–386, 100 (2006)
Q.D. Liu, J.E. Huber, J. Eur. Ceram. Soc. 26, 2799 (2006)
J.L. Jones, C.R.J. Salz, M. Hoffman, J. Am. Ceram. Soc., 88, 2788 (2005)
D.C. Lupascu, J. Rödel, Adv. Eng. Mater. 7, 882 (2005)
S. Trolier-McKinstry, N.B. Gharb, D. Damjanovic, Appl. Phys. Lett. 88, 202901 (2006)
J.Y. Li, R.C. Rogan, E. Üstündag, K. Bhattacharya, Nature Mater. 4, 776 (2005)
C.M. Landis, Current Opin. Solid State Mater. Sci. 8, 59 (2004)
J.E. Huber, Current Opin. Solid State Mater. Sci. 9, 100 (2005)
Acknowledgments
The author acknowledges valuable discussions on this topic with Keith Bowman, John Daniels, Andrew Studer, and Ersan Üstündag. Support from the US National Science Foundation, Award no. OISE-0402066, is gratefully acknowledged.
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Jones, J.L. The use of diffraction in the characterization of piezoelectric materials. J Electroceram 19, 69–81 (2007). https://doi.org/10.1007/s10832-007-9048-z
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DOI: https://doi.org/10.1007/s10832-007-9048-z