We have derived the general solution of a wave equation describing the dynamics of two-layer viscoelastic polymer materials of arbitrary thickness deposited on solid (quartz) surfaces in a fluid environment. Within the Voight model of viscoelastic element, we calculate the acoustic response of the system to an applied shear stress, i.e. we find the shift of the quartz generator resonance frequency and of the dissipation factor, and show that it strongly depends on the viscous loading of the adsorbed layers and on the shear storage and loss moduli of the overlayers. These results can readily be applied to quartz crystal acoustical measurements of the viscoelasticity of polymers which conserve their shape under the shear deformations and do not flow , and layered structures such as protein films adsorbed from solution onto the surface of self-assembled monolayers.
An experimental setup has been constructed for simultaneous measurements of the frequency, the absolute Q factor, and the amplitude of oscillation of a quartz crystal microbalance (QCM). The technical solution allows operation in vacuum, air, or liquid. The crystal is driven at its resonant frequency by an oscillator that can be intermittently disconnected causing the crystal oscillation amplitude to decay exponentially. From the recorded decay curve the absolute Q factor (calculated from the decay time constant), the frequency of the freely oscillating crystal, and the amplitude of oscillation are obtained. AI1 measurements are fully automated. One electrode of the QCM in our setup was connected to true ground which makes possible simultaneous electrochemistry. The performance is illustrated by experiments in fluids of varying viscosity (gas and liquid) and by protein adsorption in situ. We found, in addition to the above results, that the amplitude of oscillation is not always directly proportional to the Q factor, as the commonly used theory states. This puts limitations on the customary use of the amplitude of oscillation as a measure of the Q factor. 8 1995 American Institute of Physics.
A new quartz crystal microbalance instrument, allowing simultaneous frequency (f) and dissipation factor (D) measurements, has been used to study protein adsorption kinetics by measuring time-resolved data of both the D-factor, measuring the energy dissipation due to the added overlayer, and the f-shift, measuring the effective mass load on the sensor. Four model proteins (myoglobin, hemoglobin, human serum albumin (HSA), ferritin) and one antibody-antigen reaction (antibody against HSA) were studied on a hydrophobic, methyl-terminated (-CH3) gold surface. In all five cases system-specific, positive D-shifts and negative f-shifts were observed, revealing different adsorption phases. The D-factor measurements provide new information about protein adsorption and improve the interpretation of the frequency shift in terms of mass uptake. Possible mechanisms for the adlayer-induced dissipation are discussed.
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