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Chin. Phys. B, 2015, Vol. 24(7): 077701    DOI: 10.1088/1674-1056/24/7/077701

Piezoelectric and electro—optic properties of tetragonal (1-x)Pb(Mg1/3Nb2/3)O3xPbTiO3 single crystals by phenomenological theory

Qiu Jian-Hua (邱建华), Wang Xiu-Qin (王秀琴), Yuan Ning-Yi (袁宁一), Ding Jian-Ning (丁建宁)
Center for Low-dimensional Materials, Micro-nano Devices and System, Changzhou University, Changzhou 213164, China

An eighth-order Landau–Devonshire theory is constructed to investigate the piezoelectric and electro–optic properties of tetragonal (1-x)Pb(Mg1/3Nb2/3)O3xPbTiO3 single crystals (x=0.38 and x=0.4). The dielectric stiffness coefficients of the Landau potential are obtained by fitting to the dielectric properties and the phase transition temperature between cubic phase and tetragonal phase. It is indicated that tetragonal (1-x)Pb(Mg1/3Nb2/3)O3xPbTiO3 single crystals have the first-order cubic-tetragonal phase transitions. The dielectric constants are in great agreement with the experimental results. The piezoelectric coefficients d33 and d31 at room temperature are about 145 pC/N and -62 pC/N respectively which are smaller than that of (1-x)Pb(Mg1/3Nb2/3)O3xPbTiO3 single crystals around the morphotropic phase boundary. Moreover, tetragonal (1-x)Pb(Mg1/3Nb2/3)O3xPbTiO3 single crystals have the linear electro–optic coefficients rc=33.7 pm/V and rc=28.8 pm/V for x=0.38 and x=0.4, respectively which are in accordance with the measurements.

Keywords:  dielectric property      piezoelectric property      electrooptic effect  
Received:  13 January 2015      Revised:  10 February 2015      Accepted manuscript online: 
PACS:  77.22.-d (Dielectric properties of solids and liquids)  
  77.65.Bn (Piezoelectric and electrostrictive constants)  
  78.20.Jq (Electro-optical effects)  

Project supported by the National Natural Science Foundation of China (Grant No. 51335002), the Changzhou Science and Technology Project, China (Grant No. CJ20130022), and the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

Corresponding Authors:  Qiu Jian-Hua, Ding Jian-Ning     E-mail:;

Cite this article: 

Qiu Jian-Hua (邱建华), Wang Xiu-Qin (王秀琴), Yuan Ning-Yi (袁宁一), Ding Jian-Ning (丁建宁) Piezoelectric and electro—optic properties of tetragonal (1-x)Pb(Mg1/3Nb2/3)O3xPbTiO3 single crystals by phenomenological theory 2015 Chin. Phys. B 24 077701

[1] Li X B and Luo H S 2010 J. Am. Ceram. Soc. 93 2915
[2] Noheda B, Cox D E, Shirane G, Gao J and Ye Z G 2002 Phys. Rev. B 66 054104
[3] Feng Z Y, Zhao X Y and Luo H S 2006 J. Am. Ceram. Soc. 89 3437
[4] Fang S X, Tang D Y, Chen S M, Zhang H and Liu Y L 2015 Chin. Phys. B 24 027802
[5] Li F, Zhang S J, Xu Z, Wei X Y, Luo J and Shrout T R 2010 J. Appl. Phys. 108 034106
[6] He C J, Xu F, Wang J M, Du C L, Zhu K J and Liu Y W 2011 J. Appl. Phys. 110 083513
[7] He C J, Fu X D, Xu F, Wang J W, Zhu K J, Du C L and Liu Y W 2012 Chin. Phys. B 21 054207
[8] Park S E and Shrout T R 1997 J. Appl. Phys. 82 1804
[9] He C J, Zhou Z X, Liu D J, Zhao X Y and Luo H S 2006 Appl. Phys. Lett. 89 261111
[10] Wan X M, Xu H Q, He T H, Lin D and Luo H S 2003 J. Appl. Phys. 93 4766
[11] He C J, Ge W W, Zhao X Y, Xu H Q, Luo H S and Zhou Z X 2006 J. Appl. Phys. 100 113119
[12] Wan X M, Wang D Y, Zhao X Y, Luo H S, Chan H L W and Choy C L 2005 Solid State Commun. 134 547
[13] Jeong D Y, Lu Y, Sharma V, Zhang Q M and Luo H S 2003 Jpn. J. Appl. Phys. 42 4387
[14] Feng Z Y, Zhao X Y and Luo H S 2004 J. Phys.: Condens. Matter 16 6771
[15] Noblanc O, Gaucher P and Calvarin G 1996 J. Appl. Phys. 79 4291
[16] Li Y L, Cross L E and Chen L Q 2005 J. Appl. Phys. 98 064101
[17] The list of the parameters of G (in SI units, the temperature T in ℃) used in the calculations. For x=0.38: T0=162.1, C=7.13×105, α11=-1.7×108, α111=6.9×109, and α1111=1.4×1010. For x=0.4: T0=175.6, C=5.95×105, α11=-1×108, α111=3.9×109, and α1111=1×1010
[18] Emelyanov A Y, Pertsev N A and Kholkin A L 2002 Phys. Rev. B 66 214108
[19] Di Domenico M and Wemple S H 1969 J. Appl. Phys. 40 720
[20] Zhao X Y, Wang J, Chew K H, Chan H L W, Choy C L, Yin Z W and Luo H S 2004 Mater. Lett. 58 2053
[21] Tang Y X, Wan X M, Zhao X Y, Pan X M, Lin D, Luo H S, Sun J L, Meng X J and Chu J H 2005 J. Appl. Phys. 98 084104
[22] Huan M J, Furman E, Jang S J, Mckinstry H A and Cross L E 1987 J. Appl. Phys. 62 3331
[23] Li F, Jin L, Xu Z, Wang D W and Zhang S J 2013 Appl. Phys. Lett. 102 152910
[24] Li F, Zhang S J, Xu Z, Wei X Y and Shrout T R 2011 Adv. Funct. Mater. 21 2118
[25] Feng Z Y, Zhao X Y and Luo H S 2006 J. Appl. Phys. 100 024104
[26] Wan X M, Luo H S, Wang J, Chan H L W and Choy C L 2004 Solid State Commun. 129 401
[27] Emelyanov A S, Raevskaya S I, Savenko F I, Topolov V Y, Raevski I P, Turik A V and Kholkin A L 2007 Solid State Commun. 143 188
[28] Guo Y P, Luo H S, Ling D, Xu H Q, He T H and Yin Z W 2003 J. Phys.: Condens. Matter 15 L77
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