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Other Surface-Acoustic-Wave Based Instruments

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The Quartz Crystal Microbalance in Soft Matter Research

Part of the book series: Soft and Biological Matter ((SOBIMA))

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Abstract

There is a variety of sensing instruments making use of acoustic waves (often shear waves) near interfaces. Among the concepts shared between the QCM and these instruments are the mass sensitivity and the acoustic reflectivity as a central intermediate parameter. The kHz resonators measure viscoelastic parameters at frequencies more relevant to most applications than MHz frequencies. On the other hand, they are less sensitive. Smaller resonators operating at higher frequencies tend to have better mass-sensitivity.

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Authors and Affiliations

  1. Institute of Physical Chemistry, Clausthal University of Technology, Clausthal-Zellerfeld, Germany

    Diethelm Johannsmann

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Glossary

Variable

Definition (Comments)

A

Effective area of the resonator plate

c

Speed of propagation

E

Energy

f

As an index: film

f r

Resonance frequency

f 0

Resonance frequency at the fundamental (f 0 = Z q /(2m q ) = Z q /(2ρ q d q ))

GL

As an index: Guiding Layer

h

Planck constant

M R

Mass of a resonator

\( \tilde{r}_{q,S} \)

Reflectivity evaluated at the resonator surface

Z q

Acoustic wave impedance of AT-cut quartz (Z q  = 8.8 × 106 kg m−2 s−1)

λ

Wavelength of sound

Γ

Imaginary part of a resonance frequency

κ R

Spring constant of a resonator

ξ R

Drag coefficient of a resonator

ω

Angular frequency

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Johannsmann, D. (2015). Other Surface-Acoustic-Wave Based Instruments. In: The Quartz Crystal Microbalance in Soft Matter Research. Soft and Biological Matter. Springer, Cham. https://doi.org/10.1007/978-3-319-07836-6_15

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