Large apparent interfacial slippage at polyelectrolyte-perfluorocarbon interfaces on a quartz crystal resonator

The apparent negative areal mass densities obtained for a polyelectrolyte multilayer on a quartz crystal resonator in contact with four different perfluorocarbon liquids are explained by the interfacial slippage between the multilayer and the liquids. It is shown that the zone of interfacial slipping can be conveniently treated as a separate layer with distinct physical parameters. Three models of slippage were taken into a closer study. In the first model, the so-called de Gennes model, a very thin gas-filled cavity is formed between the moving phase and the stationary phase. The second model is based on the slipping layer consisting of water. In the third model, the so-called "true slipping" model, it is assumed that the particle velocity has a discontinuity at the interface. In each case, the slipping admittances and slippage lengths as well as the corrected areal mass densities were calculated from the experimental data. Although no unambiguous experimental evidence was found to favor strongly any of these three models, the slightly smaller variation in the slipping admittance and the areal mass density seems to give more credibility to the de Gennes model.