Exact analytical expressions for the potential of electrical double layer interactions for a sphere-plate system.

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Exact, closed-form analytical expressions are presented for evaluating the potential energy of electrical double layer (EDL) interactions between a sphere and an infinite flat plate for three different types of interactions: constant potential, constant charge, and an intermediate case as given by the linear superposition approximation (LSA). By taking advantage of the simpler sphere-plate geometry, simplifying assumptions used in the original Derjaguin approximation (DA) for sphere-sphere interaction are avoided, yielding expressions that are more accurate and applicable over the full range of κa. These analytical expressions are significant improvements over the existing equations in the literature that are valid only for large κa because the new equations facilitate the modeling of EDL interactions between nanoscale particles and surfaces over a wide range of ionic strength.






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Lin, Shihong, and Mark R Wiesner (2010). Exact analytical expressions for the potential of electrical double layer interactions for a sphere-plate system. Langmuir, 26(22). pp. 16638–16641. 10.1021/la103046w Retrieved from https://hdl.handle.net/10161/4088.

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Mark Wiesner

James B. Duke Distinguished Professor of Civil and Environmental Engineering

Wiesner's research interests include membrane processes, nanostructured materials, transport and fate of nanomaterials in the environment, nano plastics, colloidal and interfacial processes, and environmental systems analysis.

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