Impedance Analysis

Impedance Analysis The IQCM implements the simplest possible way of operating a quartz crystal resonator, which is impedance analysis.  A network analyzer sweeps the exciting frequency across the resonance.  On resonance, the current through the electrodes dramatically increases.  Fitting a resonance curve to the conductance, one finds the resonance frequency, f, and the bandwidth, Γ.  This information is available on up to 15 harmonics.

The analysis rests on the small-load approximation: Frequency and bandwidth are proportional to the real and the imaginary part of the stress-speed ratio (the "load") at the crystal surface.  For purely inertial loading (for instance by a thin film), the load is proportional to the mass and the resonator acts as a "quartz crystal microbalance" in the narrow sense of the word.  Monolayer sensitivity is easily reached.  For more complex samples, the IQCM probes the oscillatory shear stress at the crystal-sample interface.  The applicability of the IQCM goes much beyond classical microweighing.