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 large choice of sensors with specialize in analyte-film interactions for numerous physical/chemical absorption techniques. fairly fascinating is the comparability of transients for reversible and irreversible interactions.

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7b. 19, the motional impedance elements L2 and R2 can be related to the components of the surface mechanical impedance as [ 14] N'n" Re(Zs) R2 = 4K2tosCo Zq N~r Im(Zs) L2 = 4K2~2sCo ---:---. 1 Thickness-Shear Mode Resonator (a) (b) __L_k. 1 51 ,,, T ILl /r t Co : = C1 Co = ==C 1 R1 R1 L2 R2 J, Lumped-elementequivalent-circuit models for the perturbed resonator [ 14]" (a) with complex impedance element Ze, and (b) with motional inductance L2 and resistance R2. (Reprinted with permission. See Ref.

1 Hz, calculate the limit of mass resolution. 9, S = dfldps = -fol(pqh) = -57 Hz-cm2/~g. This means that for each 1/zg/cm 2 of mass accumulation, the resonant frequency will decrease by 57 Hz. 3 Hz)/(57 Hzcm2//zg) = 5 ng/cm 2. The high mass sensitivity calculated in the previous example justifies the term "microbalance" in describing the sensing capabilities of the quartz resonator. 9 can be used to calculate frequency shifts for surface accumulations that behave as ideal mass layers. A real film behaves as an ideal mass layer if it is sufficiently thin and rigid so that it moves synchronously with the oscillating device surface.

It acts as an acoustically thin layer. The Rayleigh hypothesis indicates that when mass accumulates on the surface, the resonant frequency must change to rebalance kinetic and potential energies. The peak kinetic energy density Uk (energy per surface area) in the TSM resonator occurs at the instant when particle velocities are maximum and displacements are zero. 5) where Ps is the areal mass density (mass/area) of the surface mass layer and pq is the volume mass density (mass/volume) of the quartz substrate.

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