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Abstruct-Lateral field excitation calculations have been carried out for the simple thickness modes of quartz plates. The results are presented in terms of piezoelectric coupling coefficients, and interpreted using equivalent networds. Exact circuits using transmission lines are obtained that include viscous loss. These are reduced to the more familiar lumped variety valid in the neighborhood of a single resonance. The element values are related to physical parameters of the vibrator. Calculations include coupling coefficients, as functions of plate azimuth, for the three thickness modes of singly and doubly rotated quartz cuts having orientations of practical interest, including those on the zero-temperature-coefficient locus. Time-domain operation is also briefly considered.

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