Abstract We evaluate the frequency-temperature behavior of spurious modes in a rectangular AT-cut quartz plate resonator based on three-dimensional linear equations. The elastic constants and three geometrical dimensions of the resonator are defined in terms of cubic polynomials of a temperature change. Assuming that the resonator holds its rectangular plate shape irrespective of temperature, we can determine the relationship between frequency and the dimensions of the resonator for a given temperature using the previous technique. We compare the calculated results with our own experimental data, and show that agreement between the calculated and observed data is excellent.
1998 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 45:1017-1021
© 1998, by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.