Nonlinearity of the frequency-temperature characteristics of LC-cut quartz resonators

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Authors

  • E. ŻUCHOWSKI Tele- and Radio Research Institute, Poland
  • M. ŁYSAKOWSKA Tele- and Radio Research Institute, Poland

Abstract

On the basis of the classical theory of thickness vibrations, the formulas for the temperature coefficients and their angular derivatives of the frequency-temperature characteristics of quartz resonators with LC-cut are derived. Approximation of these characteristics by straight lines enables the evaluation of nonlinearity effects in a given range of temperature. A practical example is given.

References

[1] M. NAKAROVA et al., A study of quartz temperature sensors characterized by ultralinear frequency-temperature responses, IEEE Trans. of Sonics and Ultrasonics SU-32, 828-834 (1985).

[2] C.A. ADAMS et al., Selected topics in quarts crystal research, Proc. AFCS, 24, 55-63 (1970).