Download Applications of Piezoelectric Quartz Crystal Microbalances by C. Lu, A.W. Czanderna PDF

By C. Lu, A.W. Czanderna

ISBN-10: 0444416404

ISBN-13: 9780444416407

ISBN-10: 0444422773

ISBN-13: 9780444422774

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A simplified model of a quartz crystal microbalance. (a) At resonance, the wavelength is equal to half of the quartz plate thickness, (b) An increase in the q u a r t z plate thickness results in a decrease in the resonant frequency (an increase in the wavelength), (c) The mass of a deposited film is t r e a t e d as an equivalent amount of the quartz mass. The feasibility of using piezoelectric quartz resonators as quanti­ tative mass measuring devices was first explored by Sauerbrey [2,3] . The operating principle of a QCM, as postulated by Sauerbrey, can be described by the idealized physical model shown in Fig.

Thus, this curve, which holds for fluorides, does not necessarily hold for other groups of compounds such as oxides, carbides, or even other halides. The M versus F curve as defined by Eq. (47) is not highly sensitive to the value of Z (see Fig. 9), particularly in the region where M or F is relatively small (small mass load). Thus, the possible difference between the acoustic impedance of a material in the thin film form and that of the same material in bulk need not be overly empha­ sized. For all practical purposes, the use of acoustic impedances of the bulk material in Eq.

0 0 MHz A fq = 4 . 5 0 M H z D f q = 5 . 0 0 MHz o fq = 6 0 5 MHz THEORY Z = 0 381 (BULK Au) Z=l Fig. 10. A comparison between experimental d a t a and Eq. 381 for gold on quartz crystals with different resonant frequencies. The curve representing Eq. (47) with Z = 1 is also shown for comparison purposes. [f/Af - Pftf (48) Since M and F are both dimensionless parameters, for a specific material (or Z), crystals with different fq should obey the same M versus F curve; Fig. 05 MHz). The experimental data are in excellent agreement with the theoretical curve.

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Applications of Piezoelectric Quartz Crystal Microbalances by C. Lu, A.W. Czanderna


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