Operation of the Quartz Crystal Microbalance in Liquids:Derivation of the Elastic Compliance of a Film from the Ratio of Bandwidth Shift and Frequency Shift

摘要

For a thin viscoelastic film deposited on a quartz crystal microbalance in a liquid environment,the change in dissipation induced by the presence of a film is proportional to the film's elastic compliance,J_f'.This surprising result is a consequence of the fact that the film is "clamped"by a viscous fluid.