摘要 |
Methods are provided for determining deviations from phi=0 in test resonators based on the quasi-pure modes' displacement ratio variations with 4 angle. A direct relationship between deviation from phi=0 and the c-mode displacement ratio has been observed, so that the larger the deviation from phi=0 , then the larger is the change in the normalized frequency of the c-mode upon immersion in, or contact with, a fluid. The method comprises measuring theta and phi angles in reference resonators with different small phi angles and quasi-pure mode frequencies of reference resonators in both air and a test fluid at ambient temperatures, calculating the normalized frequency changes between the air and fluid measurements as a reference point, measuring the test resonator in air then in the fluid and comparing the results. Also provided are similar methods for measuring the phi angles in the quasi-pure mode of near-BT-cut resonator plates and the LGX family of rotated-y-cut ZTC crystal resonators, so that the appropriate modes' displacement ratio variations with the phi angle determine deviations from phi=0 . In the preferred method of this invention the test fluid used for measuring a reference fluid quasi-pure mode frequency is pure water at ambient temperature
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