Polarizing Effect with Longitudinally Vibrating ADP Rods and the Electroelastic Tensor

TLDR: In this paper, the change in the frequency of piezoelectric resonators caused by a dc electric field applied to their exciting electrodes is studied on the longitudinal mode of rods made of ammonium dihydrogen phosphate (ADP).

Abstract: The change in natural resonant frequency of piezoelectric resonators caused by a dc electric field applied to their exciting electrodes is studied on the longitudinal mode of rods made of ammonium dihydrogen phosphate (ADP). The relative change in frequency for operating frequencies in the range 50-80 kHz is a superposition of linear and quadratic functions of the dc electric field. The linear component, whose order of magnitude per unit electric field intensity is lo-\" V-' m, is interpreted to be the result of a linear change in the magnitude of the elastic constants and the converse piezoelectric effect, both contributing factors being of the same order of magnitude. The nonlinear component accounts for about one percent of the effect at field intensities of the order of lo4 Vm-'. A general formula for the Manuscript received May 5 , 1976. This work was supported by the The author is with York University, Toronto, Ont., Canada. National Research Council of Canada. linear component presented here is used to determine three out of the seven existing components of the electroelastic tensor, their order of magnitude ranging between 10\" and N-'V-'m3 . Thesame formula is further employed both t o predict the magnitude of the relative frequency change with selected rodsat dc electric field intensities not exceeding lo4 Vm-', and t o specify the rods particularly suitable for determination of all relevant components of the electroelastic tensor with maximum possible accuracy.