No abstract

The behavior of the resonant frequencies of a quartz crystal, coated with electrodes and tabs of the same material, is investigated both theoretically and experimentally. It is pointed out that, when the thicknesses of the tab exceeds the sum of the thickness of the electrodes, the tab behaves like a resonator acting independently of the resonator determined by the conventional electrodes. In the model, which describes this phenomenon, use is made of trapped energy theory on thickness-twist modes. The results of numerical calculations on the theoretical model developed in this paper are in excellent agreement with the results obtained form the experiments. The additional resonant frequencies created by the presence of the tab together with the resonant frequencies related to the electrodes could possibly be used in the field of simultaneous mass and temperature determination. The principle of such a method is given in the paper.

Articles you may be interested inLight-induced detuning of a quartz crystal wafer with temperature-compensated cut

In this paper the possibility of using a quartz crystal coated with electrodes and a tab for simultaneous mass and temperature determinations is investigated. The practical applicability of the recently introduced method, based on the properties of the resonant frequencies of an electrode-tab system, strongly depends on the accuracy by which mass and temperature can be determined. It is shown from the experiments presented in the paper that the accuracy of the method is strongly improved by measuring the temperature with the help of the higher-order harmonic overtones related to the electrodes, and by measuring the mass with the help of the fundamental resonant frequency related to the tab. An analysis to determine the error in the mass and temperature, resulting from calibration and experimental errors, is given. The results from the analysis show that a mass change of 10 Å (copper) and a temperature change of 0.01 °C can be determined within 3% and 18%, respectively. Some suggestions are given for further improvement of the method in order to make it useful for practical applications.

No abstract