An Accurate Method for the Determination of Complex Coefficients of Single Crystal Piezoelectric Resonators I: Theory

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 51, Issue 2, 2004, Pages 227-237

  Du, Xiao Hong ^a   Wang, Qing Ming ^b   Uchino, Kenji ^c  

^a Ramtron International Corporation   (United States)

^b University of Pittsburgh   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PIEZOELECTRIC RESONATORS; THIN RODS;

APPROXIMATION THEORY; CRYSTALLOGRAPHY; CURVE FITTING; ELECTRODES; ERROR ANALYSIS; ITERATIVE METHODS; NATURAL FREQUENCIES; PIEZOELECTRICITY; RESONATORS; SINGLE CRYSTALS; TENSORS;

PIEZOELECTRIC DEVICES;

EID: 1642633678     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2004.1295398     Document Type: Article

References (25)

1. 3 system," Ferroelectrics, vol. 37, pp. 579-582, 1981.
2. 3 single crystals," Jpn. J. Appl. Phys., vol. 21, no. 9, pp. 1298-1302, 1982.
3. S.-E. Park and T. R. Shrout, "Characteristics of relaxor-based piezoelectric single crystals for ultrasonic transducers," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 44, no. 5, pp. 1140-1146, 1997.
4. Y. Yamashita, "Large electromechanical coupling factors in perovskite binary material system," Jpn. J. Appl. Phys., vol. 33, no. 9B, pp. 5328-5331, 1994.
5. IEEE Standard on Piezoelectricity, ANSI/IEEE, Std 176-1987, New York: The Institute of Electrical and Electronics Engineers, 1987.
6. R. Bechmann, "Elastic and piezoelectric constants of alpha-quartz," Phys. Rev., vol. 110, pp. 1060-1061, 1958.
7. A. W. Warner, M. Onoe, and G. A. Coquin, "Determination of elastic and piezoelectric constants for crystals in class (3m)," J. Acoust. Soc. Amer., vol. 42, no. 6, pp. 1223-1231, 1967.
8. R. T. Smith and F. S. Welsh, "Temperature dependence of elastic, piezoelectric, and dielectric constants of lithium tantalate and lithium niobate," J. Appl. Phys., vol. 42, pp. 2219-2230, 1971.
9. D. Berlincourt and H. Jaffe, "Elastic and piezoelectric coefficients of single-crystal barium titanate," Phys. Rev., vol. 111, no. 1, pp. 143-148, 1958.
10. 3 crystals," Phys. Rev. B, vol. 50, no. 9, pp. 5941-5949, 1994.
11. 3 single crystals," J. Appl. Phys., vol. 70, pp. 7327-7332, 1991.
12. A. Schaefer, H. Schmitt, and A. Dorr, "Elastic and piezoelectric coefficients of TSSG barium titanate single crystals," Ferroelectrics, vol. 69, pp. 253-266, 1986.
13. 3 single crystals," Ferroelectrics, vol. 141, pp. 313-325, 1993.
14. D. A. Berlincourt, C. Cmolik, and H. Jaffe, "Piezoelectric properties of polycrystalline lead titanate zirconate compositions," in Proc. IRE, vol. 48, pp. 220-229, 1959.
15. M. Onoe, H. F. Tiersten, and A. H. Meitzler, "Shift in the location of resonance frequencies caused by large electromechanical coupling in thickness-mode resonators," J. Acoust. Soc. Amer., vol. 35, no. 1, pp. 36-42, 1963.
16. D. Berlincourt, "Piezoelectric crystals and ceramics," in Ultrasonic Transducer Materials. New York: Plenum, 1971, pp. 63-124.
17. R. Holland and E. EerNisse, "Accurate measurement of coefficients in a ferroelectric ceramic," IEEE Trans. Sonics Ultrason., vol. SU-16, no. 4, pp. 173-181, 1969.
18. X. H. Du, Q.-M. Wang, and K. Uchino, "Accurate determination of complex materials coefficients of piezoelectric resonators," IEEE Trans. Ultrason., Ferroelect., Freg. Contr., vol. 50, no. 3, pp. 312-320, 2003.
19. R. Holland, "Representation of dielectric, elastic, and piezoelectric losses by complex coefficients," IEEE Trans. Sonics Ultrason., vol. SU-14, no. 1, pp. 18-20, 1967.
20. J. G. Smits, "Iterative method for accurate determination of the real and imaginary parts of the materials coefficients of piezoelectric ceramics," IEEE Trans. Sonics Ultrason., vol. SU-23, no. 6, pp. 393-402, 1976.
21. S. Sherrit, H. D. Wiederick, and B. K. Mukherjee, "Non-iterative evaluation of the real and imaginary material constants of piezoelectric resonators," Ferroelectrics, vol. 134, pp. 111-119, 1992.
22. K. W. Kwok, H. L. W. Chan, and C. L. Choy, "Evaluation of the material parameters of piezoelectric materials by various methods," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 44, no. 4, pp. 733-742, 1997.
23. H. F. Tiersten, Linear Piezoelectric Plates Vibrations. New York: Plenum, 1969.
24. B. A. Auld, Acoustic Fields and Waves in Solids. vol. 1, New York: Wiley, 1973.
25. X. H. Du, Q.-M. Wang, and K. Uchino, "An accurate method for the determination of complex coefficients of single crystal piezoelectric resonators II: Design of measurement and experiments," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 51, no. 2, pp. 238-248, Feb. 2004.