Abstract
If the ratio of the length of the electrode strip to the thickness of a partially electroded infinite crystal plate is kept below a certain critical value, Bechmann's number, then, for the crystal vibrating at frequencies in the neighborhood of its fundamental thickness-shear frequency, the current through the crystal will be unaffected by the anharmonic overtones of the thickness-shear motion. The concept of the inverted mesa structure (a crystal with an electrode and an insulating film) can be employed to design crystals with large values of Bechmann's number without increasing the electrical resistance of the electrode. In this paper, by means of a special approximate theory, an explicit formula for the Bechmann's number of an inverted mesa structure, in terms of the dimensions and the material properties of the insulating film the electrode and the crystal, is obtained.
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