Acoustic Spectroscopy of Lithium Niobate: Elastic and Piezoelectric Coefficient

Published

September 1, 2002

Author(s)

H Ogi, Y Kawashima, M Hirao, H M. Ledbetter

Abstract

We report the first Simultaneous measurement of a crystal's complete elastic and piezoelectric coefficients: C_if, e_ijk. The studied crystal was lithium niobate (LiNbO₃) with trigonal crystal symmetry (3 m point group), thus six independent C_ijk, four e_ijk, and two dielectric coefficients K_ij. We used a single specimen: an oriented rectangular parallelepiped measuring about 5 mm. Our measurement method, acoustic spectroscopy, focuses on the crystal's macroscopic resonance frequencies, reflecting any property that affects the crystal's macroscopic vibrations. We overcame the principal obstacle to precise measurements-mode misidentification -by using laser-Doppler interferometry to detect the crystal's displacement surface. This approach yields unambiguous mode identification. We considered fifty-six resonances ranging in frequency from 0.3 to 1.2 MHz to deduce inversely C_ij and e_ijk with known K_ij. The ten unknowns always converged to the same values even with unreasonable initial guesses. The C_ij uncertainty verages 0.09% for the diagonal C_ij. The e_ijk uncertainties average 5%. All our coefficients fall within the (surprisingly wide) error limits of previous (conventional) measurements.

Citation

Journal of Applied Physics

Volume

92

Issue

No. 5

Pub Type

Journals

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Keywords

acoustic spectrosocpy, dielectric coefficients, displacement figure, elastic coefficients, lithium niobate, mechanical waves, piezoelectric coefficients

Citation

Ogi, H. , Kawashima, Y. , Hirao, M. and Ledbetter, H. (2002), Acoustic Spectroscopy of Lithium Niobate: Elastic and Piezoelectric Coefficient, Journal of Applied Physics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=851242 (Accessed October 25, 2025)