1994
DOI: 10.1016/0924-4247(94)00796-9
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Transmission-line model for immersed quartz-crystal sensors

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Cited by 35 publications
(12 citation statements)
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“…[30][31][32][33][34] In most cases, the behaviour of the quartz crystal is described with lumped elements the values of which are obtained by transforming the transmission line theory into the Butterworth-van Dyke (BvD) equivalent circuit model. In practice, a QCM piezoelectric element consists of a loaded and an unloaded (ܼ ௦ = 0) faces, and the total motional impedance Z m is a sum of these two:…”
Section: Viscoelastic Modelling In Qcmmentioning
confidence: 99%
“…[30][31][32][33][34] In most cases, the behaviour of the quartz crystal is described with lumped elements the values of which are obtained by transforming the transmission line theory into the Butterworth-van Dyke (BvD) equivalent circuit model. In practice, a QCM piezoelectric element consists of a loaded and an unloaded (ܼ ௦ = 0) faces, and the total motional impedance Z m is a sum of these two:…”
Section: Viscoelastic Modelling In Qcmmentioning
confidence: 99%
“…With the parallel capacitance C 0 , which ascribes for the dielectric quartz between the electrodes, one obtains the well-established Butterworth−van Dyke (BVD) equivalent circuit (cf. Figure ), which is a limiting case of the more rigorous transmission-line model. , From these electrical elements the typical resonator characteristics such as the resonance frequency as well as the quality factor Q = 2π f R L m / R m can be calculated…”
Section: Theorymentioning
confidence: 99%
“…In the present paper, we analyze the effect of mass accumulation and the effect of film modulus or film-modulus changes for the response of acoustic-wave-based chemical sensors, on the basis of a model for acoustic wave propagation, which does not include any thin-film approximation. It is not our intention to introduce the model; it can be found in several papers. ,,, We only discuss some major aspects that are necessary to understand the general mechanism of the viscoelastic influence on the electrical response of acoustic wave sensors. We present and discuss calculation results, which cover a broad range of polymer properties, and derive an indicator, which can help the experimenter to estimate gravimetric and nongravimetric contributions to his sensor signal without further investigations.…”
mentioning
confidence: 99%
“…It is not our intention to introduce the model; it can be found in several papers. 4,10,14,[27][28][29] We only discuss some major aspects that are necessary to understand the general mechanism of the viscoelastic influence on the electrical response of acoustic wave sensors. We present and discuss calculation results, which cover a broad range of polymer properties, and derive an indicator, which can help the experimenter to estimate gravimetric and nongravimetric contributions to his sensor signal without further investigations.…”
mentioning
confidence: 99%