The Quartz Crystal Microbalance QCM is an higly-sensitive tool to weigh mass deposition in the micrometric range by measuring the frequency variation of a resonating quartz crystal.
In 1890 Pierre and Jacques Curie brothers demonstrated the existence of the Piezoelectric Effect , which was initially theorized by the mineralogist René Just Hauy in 1817. The exploitation of the piezoelectric effect has led to a series of applications and tools of great interest for studying a wide range of physical, chemical and biological quantities.
The Sauerbrey Equation is the primary tool in quartz crystal microbalance applications. It directly relates the changes in resonant frequency to the mass of a thin rigid film added to the quartz surface as:
where is the resonant frequency, is the active electrode area, is the density, is the shear modulus and is the shear wave velocity of the quartz crystal .
QCM in liquid Kanazawa - Gordon Equation
Electro Mechanical Model and Small - Load Approximation
Index of Symbols
- Sauerbrey G., "Verwendung von Schwingquarzen zur Wägung dünner Schichten und zur Mikrowägung", Zeitschrift Für Physik, vol. 155, no. 2, pp. 206-222, 1959. DOI 110.1007/BF01337937
- openQCM the unique open source Quartz Crystal Microbalance