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Igure, Olar, Lot of – INFICON RQCM - Quartz Crystal Microbalance Research System User Manual

Page 62: Rystal, Dmittance

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RQCM – RESEARCH QUARTZ CRYSTAL MICROBALANCE

THEORY OF OPERATION

5-10

Because a crystal’s impedance is minimum at resonance it is convenient to characterize a crystal

in terms of admittance. Admittance is the inverse of impedance, (Y = 1/Z), thus the admittance

reaches a maximum at resonance. While impedance is proportional to the voltage developed

across a device when it is subjected to a current, the admittance is proportional to the current

through the device when it is subjected to a voltage.
At any frequency the admittance of a quartz crystal is a complex value that can be expressed in

terms of magnitude and phase or in terms of a real and imaginary value. The relationship of these

two representations is shown in Figure 17.

Figure 17 Polar Plot of Crystal Admittance

Figure 18 shows the conductance in terms of magnitude and phase, while Figure 19 shows the

same information in terms of the imaginary and real part of the conductance.