Abstract
Size dependence of transition enthalpy observed in ferroelectric PbTiO3 nanoparticles has been shown to result from volume averaging or the surface dilution effect rather than size induced reduction of spontaneous polarization at the first-order phase transition temperature. The PbTiO3 nanoparticles are suggested to be composed of a cubic surface layer with size independent thickness and a ferroelectric core having nonzero and size independent spontaneous polarization at the transition point. Based on a surface layer model, thickness of the cubic surface layer at the Curie temperature is estimated to be around 5–8 nm for PbTiO3 nanoparticles from the literature-reported transition enthalpy data. The present analyses indicate that the size effect in ferroelectrics is possibly a surface related extrinsic effect.
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References
F. Jona, G. Shirane, Ferroelectric Crystals (Dover, New York, 1993)
E. Fatuzzo, W.J. Merz, Ferroelectricity (North-Holland, Amsterdam, 1967)
G.A. Rossetti, J.P. Cline, A. Navrotsky, J. Mater. Res. 13, 3197 (1998)
K. Ishikawa, K. Yoshikawa, N. Okada, Phys. Rev. B 37, 5852 (1988)
W.L. Zhong, B. Jiang, P.L. Zhang, J.M. Ma, H.M. Cheng, Z.H. Yang, L.X. Li, J. Phys. Condens. Matter 5, 2619 (1993)
S. Chattopadhyay, P. Ayyub, V.R. Palkar, M. Multani, Phys. Rev. B 52, 13177 (1995)
E.K. Akdogan, C.J. Rawn, W.D. Porter, E.A. Payzant, A. Safari, J. Appl. Phys. 97, 084305 (2005)
E. Erdem, H.-C. Semmelhack, R. Böttcher, H. Rumpf, J. Banys, A. Matthes, H.-J. Gläsel, D. Hirsch, E. Hartmann, J. Phys. Condens. Matter 18, 3861 (2006)
K. Uchino, E. Sadanaga, T. Hirose, J. Am. Ceram. Soc. 72, 1555 (1989)
R. Böttcher, C. Klimm, D. Michel, H.-C. Semmelhack, G. Völkel, H. Gläsel, E. Hartmann, Phys. Rev. B 62, 2085 (2000)
T. Takeuchi, K. Ado, T. Asai, H. Kageyama, Y. Saito, C. Masquelier, O. Nakamura, J. Am. Ceram. Soc. 77, 1665 (1994)
S. Aoyagi, Y. Kuroiwa, A. Sawada, I. Yamashita, T. Atake, J. Phys. Soc. Jpn. 71, 1218 (2002)
Y. Kuroiwa, S. Aoyagi, A. Sawada, H. Ikawa, I. Yamashita, N. Inoue, T. Atake, J. Therm. Anal. Calorim. 69, 933 (2002)
T. Hoshina, S. Wada, Y. Kuroiwa, T. Tsurumi, Appl. Phys. Lett. 93, 192914 (2008)
D. Szwarcman, D. Vestler, G. Markovich, ACS Nano 5, 507 (2011)
B. Jiang, L.A. Bursill, Phys. Rev. B 60, 9978 (1999)
R. Asiaie, W. Zhu, S.A. Akbar, P.K. Dutta, Chem. Mater. 8, 226 (1996)
B. Jiang, J.L. Peng, L.A. Bursill, W.L. Zhong, J. Appl. Phys. 87, 3462 (2000)
W. Ma, Appl. Phys. A 96, 915 (2009)
W.L. Zhong, Y.G. Wang, P.L. Zhang, B.D. Qu, Phys. Rev. B 50, 698 (1994)
C. Jia, V. Nagarajan, J. He, L. Houben, T. Zhao, R. Ramesh, K. Urban, R. Waser, Nat. Mater. 6, 67 (2007)
C. Jia, K. Urban, M. Alexe, D. Hesse, I. Vrejoiu, Science 331, 1420 (2011)
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The financial support from the National Natural Science Foundation of China (NSFC) and the Program for New Century Excellent Talents in University (NCET) is gratefully acknowledged.
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Ma, W. Size dependent transition enthalpy in PbTiO3 nanoparticles due to a cubic surface layer. Appl. Phys. A 111, 613–617 (2013). https://doi.org/10.1007/s00339-012-7274-y
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DOI: https://doi.org/10.1007/s00339-012-7274-y