On the adsorbed mass of polymers on surfaces

It is shown that for ideal polymers interacting with a surface via the pseudopotential of a delta function, the number of contacts between the monomer units and the surface as a function of concentration cb is a dependence of the form cb/(1– cb). The architecture of the polymer, the degree of polymerization, the interaction energy between a monomer unit and the surface, the area of the surface and the monomer length are embodied in the parameters and . The above dependence of the adsorbed mass of a polymer on the concentration is confirmed by the experimental results of Takahashi and his collaborators. For linear polystyrene of molecular weight 134 105,interacting with a chrome plate, the parameters and are, respectively, about equal to (89938/273) -6 m and (–19300/273) m3 kg-1.