Definitions and Terminology

Piezoelectric Modes of Vibration

Vibration Mode	Dimensions	Constants to be calculated
	L-Length W-Width T-Thickness D-Diameter	Piezoelectric	Mechanical
Transverse Length Mode	T, W > L/3	k₃₁, d₃₁, g₃₁, ε₃₃^T	s₁₁^D, s₁₁^E, Q₃₁
Radial Mode	T, W > D > 5T	k_p, ε₃₃^s, ε₃₃^T	σ^E, s₁₂^E, Q_p
Thickness Extension Mode	D>T	K_t, ε₃₃^s	c₃₃^D, c₃₃^E, s₁₃^E Q_t
Longitudinal Length Mode	D > L/5	k₃₃, d₃₃, g₃₃, ε₃₃^T	s₃₃^D, s₃₃^E, Q₃₃
Thickness Shear Mode	L, W > 8T	k₁₅, d₁₅, g₁₅, ε₁₁^T,ε₁₁^s	c₅₅^D, s₅₅^D, s₅₅^E Q₁₅