Concentrations with interface elastic moduli

We have also measured y(t) and e(t) during polymer adsorption for a given concentration. In Figure 6, the e-n curve, the equation state of the layer during the adsorption process, is presented. At low surface pressure, one observes a linear increase of the dilational elastic modulus with the surface pressure n. From the slope of the linear part of the e-n curve, a value of 0.66 was found for the excluded volume critical exponent. The same value has been measured elsewhere with another technique.12 This result indicates that, unlike the excluded volume chain behaviour in the bulk, the air water interface is not a good solvent for MeC. At intermediate surface pressures, the modulus levels off and then increases again until the equilibrium surface pressure is reached. 

The results of flic interfacial rheological studies on asphaltene adsorption at oil-water interfaces teach us a great deal about the behavior of asphaltenes and their role in emulsion stabili2ation. The conclusions drawn are based largely on the assumption that the rheological properties measured, namely flic elastic film modulus G are directly related to the surface excess concentration of asphaltenes. F. It is understood diat die elastic modulus actually depends on both the surface excess concenlration and the relative conformation (i.e., coimectivity) of the adsorbed asphaltenes. It is further understood that a minimum adsorbed level is required to observe a finite value of G and that the relationship between G and G is not linear. With these caveats in mind, we can conclude die following ... 

Experiments with the /3-lg/Tween 20 system were performed at a macroscopic a/w interface at a /3-lg concentration of 0.2 mg/ml [40]. The data obtained relate to the properties of the interface 20 minutes after formation. Up to R = 1, the storage modulus (dilational elasticity) was large and relatively constant, whereas the loss modulus (dilational viscosity) increased with increasing R. As R was increased to higher values there was a marked decrease in the storage modulus (dilational elasticity) and a gradual increase in the loss modulus (dilational viscosity). In summary, the data show the presence of a transition in surface dilational behavior in this system at a solution composition of approximately R = 1. At this point, there is a transformation in the adsorbed layer properties from elastic to viscous. 

Benjamins et al (24) studied the effects of aging on the elasticity of (i-casein and K-casein films. The dilatational modulus of K-casein was larger than that of -casein and increased by a factor of three with film age, whereas the dilatational modulus of -casein films changed little with time ( ). K-casein unfolds less at the air/water interface since it has less random structure than Q-casein. This can also be interpreted in terms of K-casein having less direct contact with the film surface at any given protein concentration (25). Significant protein-protein interactions i.e. steric/electrostatic repulsion, are believed to occur between segments of polypeptide chains which extend both above and below the plane of the air/water interface in surface protein films (16,26)... 

The mechanical properties of the oil membrane in W/O/W emulsions were characterized by an aspiration technique (Geiger et al., 1999). The deform-ability was determined of an individual globule during total or partial flow into a cylindrical glass tube, which was calibrated under well-controlled conditions of aspiration. An analysis of the behavior of the multiple emulsion by a migration of the lipophilic surfactant to the interface between the oily and the external aqueous phases was done. It was shown that the elastic shear modulus and the interfacial tension of the oily membrane increased with the lipophilic surfactant concentration. 

All the works cited above do not take into consideration the contribution of the change of polymer properties in the interface in relation to the dependence of the modulus of elasticity of the filled polymer on the filler concentration yet the separation of those effects is essential. This was attempted in the woric (104) in the analysis of dynamic mechanical properties of polyurethanacrylates, filled with quartz powder, with one and the same volume fraction of the filler and various sizes of its particles. The dependence of E and fg 6 on the filler concentration has been analyzed with particles of sizes that permit the contribution of the surface layers to be neglected. Then, studying the properties of the filled polymer with various sized particles, the effect of the filler associated with its own volume can be excluded, and the effects determined by the surface layers of the polymer may be isolated. In the filler low-concentration region the dependence of the modulus on the filler content is well depicted from the empirical correlation (i05) ... 

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