3-3
In quartz, the five strain components shown may be generated by an electric field.
The modes shown on the next page may be excited by suitably placed and shaped
electrodes.  The shear strain about the Z-axis produced by the Y-component of the
field is used in the rotated Y-cut family, including the AT, BT, and ST-cuts.
STRAIN
EXTENSIONAL
along:
SHEAR
about:
FIELD along:
X
Y
Z
X
Y
Z
X           Y            Z 
Ö
Ö
Ö
Ö
Ö
X
Y
Z
The Piezoelectric Effect in Quartz
   Piezoelectricity is a linear effect. Reversal of the electric field reverses the strain, i.e., the mechanical deformation.
   The electromechanical (also called piezoelectric) coupling factor k is an important characteristic of a piezoelectric material; k is between zero and one and is dimensionless, e.g., k = 8.8% for AT-cut quartz, and k = 4.99% for SC-cut quartz. It is a measure of the efficacy of piezoelectric transduction, and it is a determinant of important device characteristics such as filter bandwidth, insertion loss, and the location and spacings of resonators' critical frequencies (e.g., the series resonance to antiresonance frequency spacing).

----------------------------
W. G. Cady, Piezoelectricity, Dover Publications, Inc., New York, 1964.

A. Ballato, Piezoelectricity: Venerable Effects, Modern Thrusts, Army Research Laboratory Technical Report ARL-TR-70, August 1994.  Available from NTIS, and among the “Review Papers” at www.ieee-uffc.org/fc

G. S. Kino, Acoustic Waves: Devices, Imaging, and Analog Signal Processing, Prentice-Hall, Inc., 1964.  This book is available on-line to IEEE UFFC-S members at www.ieee-uffc.org/archive