Upon demixing, an aqueous solution of a polyelectrolyte and an incompatible neutral polymer yields two phases separated by an interface with an ultralow tension. Here, both in theory and experiment, we study this interfacial tension in detail: how it scales with the concentrations of the polymers in the two phases and how it is affected by the interfacial difference in the electrical potential. Experiments are performed on an aqueous model system of uncharged dextran and charged nongelling gelatin. The experimental tension scales to the power ∼3 with the tie-line length in the phase diagram of demixing, in agreement with mean-field theory where space is filled with a binary mixture of polymer blobs. The interfacial electrical potential difference is experimentally found to decrease the interfacial tension in a way that is consistent with Poisson−Boltzmann theory inspired from Frenkel and Verwey−Overbeek.
■ INTRODUCTIONWhen aqueous solutions of polymers are mixed, phase separation is a commonly observed phenomenon. 1−4 It yields phases that differ in the concentrations of the polymers. The interface between the phases is not abrupt, but there are gradients in the relative composition and the total concentration of the polymers. A particularity of phase separating solutionsas opposed to phase separated blendsresults from the osmotic compressibility of the solutions: compared to the bulk phases, the interfacial region is diluted by uptake of solvent. 5 In the case of charged polymers, there is also an interfacial gradient in the electric charge density, corresponding to an interfacial electric potential step. This is the so-called Donnan potential, 6,7 and its effect on the interfacial tension is the subject of this paper.The main conditions for phase separation are a sufficient concentration and a sufficient degree of polymerization. These two factors often make the unfavorable mixing enthalpy dominate over the small mixing entropy of two types of polymer. Phase separation is also affected by the presence of charge on the polymers. 8 For instance, when one of the polymers is charged and the other is uncharged, phase separation becomes entropically more unfavorable due the accumulation of counterions in one of the phasesnecessary for charge neutrality. In order to increase entropy, the positive and negative salt ions spread across the interface to different extents; the buildup of charge separation halts the spreading.The accompanying electric potential difference is the Donnan potential. It has the same origin as the well-known membrane potential found in living cells and dialysis membranes. However, in our case, the charged interface is formed spontaneously and in equilibrium with the bulk phases; moreover, the interfacial electric potential step is relatively small, typically less than 10 mV, 9 as compared to 40−60 mV for the membranes of living cells.The electric interfacial potential step contributes negatively to the interfacial tension due to the spontaneous formation of interfacial electrical double layer...