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
Written through an interdisciplinary team of specialists from either and academia, Acoustic Wave Sensors offers an in-depth examine the present kingdom of acoustic wave units and the scope in their use in chemical, biochemical, and actual measurements, in addition to in engineering purposes. as a result of inherent interdisciplinary functions of those units, this e-book could be worthwhile for the chemist and biochemist attracted to the use and improvement ofthese sensors for particular purposes; engineer concerned with the layout and development of those units; the chemical engineer and the biotechnologist attracted to utilizing those units for procedure tracking and keep an eye on; and the sensor group at huge. Key good points* offers in-depth comparability and analyses of other kinds of acoustic wave units* Discusses working ideas and layout concerns* contains desk of correct fabric constants for fast reference* provides an in depth evaluation of present makes use of of those units for chemical, biochemical, and actual measurements, and engineering functions
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Extra info for Acoustic Wave Sensors: Theory, Design, & Physico-Chemical Applications (Applications of Modern Acoustics) (Applications of Modern Acoustics)
40 3. Acoustic Wave Sensors and Responses faces of the crystal resonator. The waves are generated only at the electrodes because those are the only regions in the crystal where the piezoelectric source term eqkE varies spatially. 1) where A and B are constants, r is the angular excitation frequency (r = 2,trf), k is the wavenumber, t is time, and j = (-1)1/2. 3, which may be thought to originate at the top electrode. = r phase shift) and is once again propagating downward having experienced a total round-trip phase shift of (2khs + 2fir), where hs is the thickness of the crystal.
Mass that is rigidly bound moves synchronously with the crystal surface, perturbing the TSM resonant frequency. The relation between surface mass accumulation and resonant frequency change can be derived from a simple variational principle proposed by Rayleigh : resonance in a mechanical system occurs at frequencies at which the peak kinetic energy Uk exactly balances the peak potential energy Up. This principle is a consequence of the fact that energy is periodically exchanged between kinetic and potential forms at resonance.
5a. 5b, to describe the near-resonant electrical characteristics . This lumped-element model is called the "Butterworth-Van Dyke" equivalent circuit . A static capacitance Co arises between the electrodes located on opposite sides of the insulating quartz. A capacitance Cp is included to account for parasitic capacitance that is found to arise in the test fixture: C ~ = Co + Cp. , one that is associated with the motion of the resonating crystal in parallel with the static capacitance. The static capacitance dominates the electrical behavior away from resonance, while the motional contribution dominates near resonance.
Acoustic Wave Sensors: Theory, Design, & Physico-Chemical Applications (Applications of Modern Acoustics) (Applications of Modern Acoustics) 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