“…The following equation has been established for an AT-cut shear mode QCM 12
where Δ F is the measured frequency shift (Hz), F 0 is the parent frequency of the QCM (9 × 10 6 Hz), Δ m is the mass change (g), A is the electrode area (0.16 cm 2 ), N is the overtone number (seventh), ρ q is the density of quartz (2.65 g cm -3 ), and m q is the shear modulus of quartz (2.95 × 10 11 dyn cm -2 ). Calibration of the QCM used in our experiments by a polymer-coating method and an LB film transfer method gave the following equation: ,,
It is close to the theoretical equation calculated from eq 1 (Δ m = (−7.35 × 10 -9 )Δ F ). Thus, when the 9 MHz QCM was vibrated in the seventh overtone, the sensitivity for the mass change was increased about eight times, in comparison with the standard vibration mode of the 9 MHz QCM [Δ m = (−(1.05 ± 0.01) × 10 -9 )Δ F ].…”