. The Bell System technical journal . Fig. 1—Showing relation of Y-cut quartz crystal to the crystallographic axes. and for high frequencies an Xy shear vibration is utilized. The frequency of such a vibration is given by the expression: 1 Piezo-Electric Terminology, W. G. Cady, Proc. I. R. E., 1930, p. 2136. 453 454 BELL SYSTEM TECHNICAL JOURNAL where Cee = the elastic constant for quartz connecting the Xy stresswith an Xy strain = X 10^ dynes per cm.^P = the density of quartz = gms. per cm.^/ = the thickness in cm. On substituting the numerical values in equation (1), a frequency-t
. The Bell System technical journal . Fig. 1—Showing relation of Y-cut quartz crystal to the crystallographic axes. and for high frequencies an Xy shear vibration is utilized. The frequency of such a vibration is given by the expression: 1 Piezo-Electric Terminology, W. G. Cady, Proc. I. R. E., 1930, p. 2136. 453 454 BELL SYSTEM TECHNICAL JOURNAL where Cee = the elastic constant for quartz connecting the Xy stresswith an Xy strain = X 10^ dynes per cm.^P = the density of quartz = gms. per cm.^/ = the thickness in cm. On substituting the numerical values in equation (1), a frequency-thickness constant of 192 kc. per cm. is obtained which checks within3 per cent the value of this constant found by experiment. This Xy shear vibration is not appreciably affected when theplate is rigidly clamped, the clamping being applied either around theperiphery if the plate is circular, or at the corners if square. Hence amechanically rigid holder arrangement is possible which is particularlysuitable for mobile radio applicati
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