Acoustic Wave Sensors: Theory, Design by D. S. Ballantine Jr., Robert M. White, S. J. Martin,

By D. S. Ballantine Jr., Robert M. White, S. J. Martin, Antonio J. Ricco, E. T. Zellers, G. C. Frye, H. Wohltjen, Moises Levy, Richard Stern

Covers a wide selection of sensors with concentrate on analyte-film interactions for numerous physical/chemical absorption methods. really attention-grabbing is the comparability of transients for reversible and irreversible interactions.

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Upon bridging the crests, the trapped air is compressed by capillary forces, tending to draw liquid into the crevice. 12 (page 64) (dashed lines); liquid lies above the line while air is below. These shapes were determined by simultaneously satisfying the contact angle requirement and balancing the capillary pressure across the interface [39] (AP = y/r where y is the liquid surface tension and r is the radius of curvature of the liquid meniscus) with the pressure increase arising from isothermal compression of the trapped air (AP = Pamb (Vi/Vf- 1) where Pambis ambient pressure and Vi and Vf are the initial and final volumes of the trapped air).

The manner in which the propagation of the wave is described is therefore important and will be discussed here briefly. 34 2. 58) v0 or, in normalized form, as [4] A7' = A7 Aa Av - . 59) in which k0 is the unperturbed wavenumber. The latter makes clear that Aa/k and Av/vo are consistently normalized orthogonal components of changes in the complex propagation factor y caused by a generalized perturbation [4]. The dependencies of these quantities on a given perturbation therefore will be the subject of numerous theoretical calculations as well as experimental measurements to be discussed in later chapters.

Martin et al. 34b accurately predicts the magnitude of the motional resistance for devices with sufficiently smooth surfaces [ 14]. Yang and Thompson [21] have noted that when a TSM resonator is operated in a liquid, fringing electric fields can enter the liquid, making C o sensitive to the dielectric properties of the liquid. This sensitivity, which can be considered to arise from changes in the parasitic capacitance Cp, is especially pronounced when both electrodes are immersed. Tiean et al. [22] have noted that under these circumstances, a parallel conductance must be added to the equivalent-circuit model to account for conduction through the liquid between electrodes.

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