Abstract
Abstract
Quartz crystal resonators (QCRs) can be described by four parameters in the BVD-equivalent circuit: static capacitance (C
0), motional capacitance (C
1), motional inductance (L
1), and motional resistance (R
1). In this study, we propose a set of formulae through theoretical deduction to evaluate these four parameters using the impedances of QCRs at different frequencies. Using this method, engineers can evaluate the four parameters without theoretical errors in only one frequency sweep. The method has been verified by LTspice simulation. In the simulation, the average error was 0.35%, which demonstrated its correctness. Meanwhile, in practical measurements, compared to the parameters reported by 250B, the parameters calculated using this method demonstrated better fitting ability. Moreover, the calculation process was simple. Therefore, the measuring procedures and apparatus can be simplified using this method.
Funder
National Natural Science Foundation of China
The funding of Hubei Province’s key research and development program “High-performance, ultra-high frequency quartz crystal device (VCXO) manufacturing process research and development ”
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