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The Donnan model describes the electric double layer structure inside carbonmicropores and is an essential element of larger-scale models for capacitiveporous carbon electrodes for energy storage and water desalination. The Donnanmodel was not yet developed to describe the expansion of carbon electrodes uponcharging. Here we provide a simple theory which predicts that theone-dimensional expansion of a carbon particle scales with electrode chargedensity according to a 4/3$^\text{rd}$ power.

Theory of expansion of porous carbon electrodes in aqueous solutions according to the Donnan model