Measurement and thermal modeling of high-Q piezoelectric resonators

This paper presents experimental data from the determination of the equivalent electrical circuit parameters of AT-cut quartz resonators and the measurement technique used. From an analysis of the experimental data it is possible to determine the equations which represent the variations of the parameters versus temperature. The models can then be used in simulation programs to determine the thermal behavior of the frequency of devices which use quartz crystal in their configuration and which require high stability. PSpice circuit simulation and experimental results are also included.