Journal of Electroceramics

, Volume 21, Issue 1–4, pp 823–826 | Cite as

Evaluation of material constants in NdCa4O(BO3)3 piezoelectric single crystal

  • T. Karaki
  • M. Adachi
  • Y. Kuniyoshi


A neodymium calcium oxoborate NdCa4O(BO3)3 piezoelectric single crystal that belongs to the monoclinic system with point group m was grown by the Czochralski technique. A practical evaluation method was developed to determine the 27 independent material constants for acoustic wave device applications. A longitudinal effect face–shear vibration was analyzed and used in the resonance–antiresonance measurement. This method avoided measuring d 11 and d 33 directly by use of X-bar and Z-bar, in which leak of electric field would cause large errors because of the very small dielectric constants. At room temperature, dielectric constants were \({{\varepsilon _{11}^{\text{T}} } \mathord{\left/{\vphantom {{\varepsilon _{11}^{\text{T}} } {\varepsilon _0 }}} \right.\kern-\nulldelimiterspace} {\varepsilon _0 }} = 9.9\), \({{\varepsilon _{22}^{\text{T}} } \mathord{\left/{\vphantom {{\varepsilon _{22}^{\text{T}} } {\varepsilon _0 }}} \right.\kern-\nulldelimiterspace} {\varepsilon _0 }} = 15\), \({{\varepsilon _{33}^{\text{T}} } \mathord{\left/{\vphantom {{\varepsilon _{33}^{\text{T}} } {\varepsilon _0 }}} \right.\kern-\nulldelimiterspace} {\varepsilon _0 }} = 10\) and \({{\varepsilon _{13}^{\text{T}} } \mathord{\left/{\vphantom {{\varepsilon _{13}^{\text{T}} } {\varepsilon _0 }}} \right.\kern-\nulldelimiterspace} {\varepsilon _0 }} = - 0.8\), respectively. All the independent dielectric and elastic constants were determined in this work. The simulation of surface acoustic wave velocity showed a good agreement with the measured value.


Piezoelectric single crystal Material constants Resonance–antiresonance measurement SAW 


  1. 1.
    H. Nakao, M. Nishida, T. Shikida, H. Shimizu, H. Takeda, T. Shiosaki, J. Alloys Compd. (in press)Google Scholar
  2. 2.
    J. Wang, X. Hu, X. Yin, R. Song, J. Wei, Z. Shao, Y. Liu, M. Jiang, Y. Tian, J. Jiang, W. Huang, J. Mater. Res. 16, 790 (2001)CrossRefADSGoogle Scholar
  3. 3.
    H. Shimizu, K. Kodama, H. Takeda, T. Nishida, T. Shiosaki, Jpn. J. Appl. Phys. 43, 6716 (2004)CrossRefADSGoogle Scholar
  4. 4.
    IEEE Stand. Piezoelectr. 176, 23 (1987)Google Scholar
  5. 5.
    M.P. Mason, Piezoelectric Crystals and Their Application to Ultrasonics (D.Van. Nostrand, New York (1950)Google Scholar
  6. 6.
    J.J. Campbell, W.R. Jones, IEEE Trans. Sonics Ultrason. 15, 209 (1968)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Toyama Prefectural UniversityToyamaJapan
  2. 2.Sakai Chemical Industry Co., Ltd.SakaiJapan

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