• Diethelm JohannsmannEmail author
Part of the Soft and Biological Matter book series (SOBIMA)


The QCM is an amazingly simple device. It consists of a disk of crystalline quartz. The acoustic resonances of this plate can be excited electrically because crystalline quartz is piezoelectric. The main application of quartz resonators is in time and frequency control. However, the resonance frequency and the resonance bandwidth depend on the resonator’s environment and the plate can therefore be used as a frequency-based sensor. The chapter gives a brief tour through the modeling process, mostly building on the parallel plate and emphasizing the small load approximation (SLA). Models beyond the parallel plate as well as refinements of the SLA are also discussed. The chapter concludes with an overview of applications.


Resonance Frequency Quartz Crystal Microbalance Deformation Pattern Tuning Fork Acoustic Resonator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.






Speed of shear sound in AT-cut quartz plates


Thickness of film


Thickness of resonator plate


Resonance frequency


Wavelength of sound


Effective spring constant of the resonator


Effective mass of the resonator


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Physical ChemistryClausthal University of TechnologyClausthal-ZellerfeldGermany

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