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Monolayer-protected clusters (MPCs) are formed by a neutral or charged metallic core surrounded by an organic ligand monolayer. We estimate the electric potential fluctuations of a MPC in an electrolyte solution by using the equilibrium fluctuation–dissipation theorem and the non-linear Poisson–Boltzmann equation extended to account for ion penetration in the monolayer. Significant fluctuations are predicted because the MPC capacitance is small (approximately 1 aF). We study also the non-equilibrium case of a MPC sandwiched between two electrodes and estimate the current noise considering the nanocluster as a single electron transistor and using a theoretical approach based on the master equation.

The flux of bovine serum albumin and bovine hemoglobin through charged nanopores inside polymeric membranes is analysed as a function of the applied voltage to the nanopore surface, the solution ionic strength and pH. The electrostatic interaction of the protein with the nanopore surface gives low transport rates except at the protein isoelectric point and the minimum of the effective, voltage-induced nanopore charge. This electrostatic sieving effect allows for the separation of proteins with similar molecular weights.

The dielectric saturation at the space–charge junction of a fixed-charge bipolar membrane is studied using the theoretical approach by Booth for the water dielectric constant and the Poisson equation for the electrical double layer at the junction. The numerical solution gives the electric field and dielectric constant profiles through the junction as well as the junction thickness as a function of the voltage drop. The water dielectric constant decreases substantially for the large electric fields that may occur at the narrow bipolar junction.

Electric field-enhanced (EFE) water dissociation can occur at the interfacial space charge junction of both biological and synthetic fixed-charge bipolar membranes. This dissociation has so far been analysed on an electrochemical basis using modified second Wien effect and absolute rate theories. We propose a statistical thermodynamics model to describe the cooperative orientation of the water molecules by the electric field at the bipolar junction. The approach is simple and retains some of the essential aspects of the phenomenon. In particular, the EFE water dissociation can now be rationalised on the basis of a field-assisted proton transfer mechanism involving the membrane fixed charge and the water molecules at the space charge region of the bipolar junction.