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A piezoelectric transducer operating in the thicknessvibration mode is represented as a six-terminal network. The mesh equations, electromechanical impedance matrix, and equivalent circuit valid for any general conditions of loading and frequency are obtained. Thus properties of the transducer can be determined once the crystal, the impedance of the loads, and the energy sources are specified. Equations for the electrical driving-point impedance and admittance are derived for all conditions of loading and frequency consistent with the original assumptions.