An analytical solution for the diffusion of electrolytes through a charge-mosaic membrane
Literature Information
Andriy E. Yaroshchuk
The problem of electrolyte diffusion through charge-mosaic membranes has been analytically solved for the model of alternating infinite slabs of homogeneous cation- and anion-exchangers. The solution has been obtained in terms of Fourier series as a system of linear algebraic equations for the coefficients. The solution revealed that at not too small unstirred layer thickness and sufficiently small fragment size the membrane diffusional resistance is a linear function of fragment size. The proportionality coefficient has been found to be an almost explicit function of fragment perm-selectivity and the ratio of fragment to solution electrical conductivities. The dependences of membrane diffusional resistance on those parameters have been considered in terms of Donnan potential and hindrance factor for the ion electro-diffusion in the fragments to yield some practical recommendations on the optimal properties of a membrane for the separation of electrolyte/non-electrolyte mixtures by dialysis.
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Physical Chemistry Chemical Physics

Physical Chemistry Chemical Physics (PCCP) is an international journal co-owned by 19 physical chemistry and physics societies from around the world. This journal publishes original, cutting-edge research in physical chemistry, chemical physics and biophysical chemistry. To be suitable for publication in PCCP, articles must include significant innovation and/or insight into physical chemistry; this is the most important criterion that reviewers and Editors will judge against when evaluating submissions. The journal has a broad scope and welcomes contributions spanning experiment, theory, computation and data science. Topical coverage includes spectroscopy, dynamics, kinetics, statistical mechanics, thermodynamics, electrochemistry, catalysis, surface science, quantum mechanics, quantum computing and machine learning. Interdisciplinary research areas such as polymers and soft matter, materials, nanoscience, energy, surfaces/interfaces, and biophysical chemistry are welcomed if they demonstrate significant innovation and/or insight into physical chemistry. Joined experimental/theoretical studies are particularly appreciated when complementary and based on up-to-date approaches.











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