The Quartz Crystal Microbalance in Soft Matter Research

Part of the series Soft and Biological Matter pp 125-142


Piezoelectric Stiffening

  • Diethelm JohannsmannAffiliated withInstitute of Physical Chemistry, Clausthal University of Technology Email author 

* Final gross prices may vary according to local VAT.

Get Access


The electrical impedance between the front and the back electrode of the resonator affects the frequency shift by a mechanism called piezoelectric stiffening. If the front electrode is not grounded well (that is, if electric fringe fields permeate the sample), the sample’s electric and dielectric properties enter this impedance. They can be probed by switching between a grounded front electrode and a grounded back electrode. For the parallel plate, the formalism can be cast into a form, where the effects of a nonzero electric displacement are equivalent to a stress exerted onto the two resonator surface. Its influence on the frequency shift can be treated within the frame of the small load approximation (SLA).