Explicit relations for the piezoelectric coupling factors of rotated 6mm plates

Class 6mm materials in the form of plates are attractive candidates for modern resonant sensor and actuator applications, because many possess desirable attributes besides piezoelectricity. In virtually all current applications of 6mm materials requiring use of the piezoelectric effect, the polar axis is either along, or perpendicular to, the major plate faces. When the polar axis is oblique to the thickness axis, however, the variety of excitation responses is broadened, and these may be used to fashion new devices. Explicit relations are given here for both the thickness- and lateral-field piezoelectric coupling coefficients driving simple thickness motions in 6mm plates