Abstract

Abstract The Fowler–Guggenheim–McQuarrie analysis of the Debye–Hückel theory shows that electrostatic Helmholtz and Gibbs free energies (Fel and Gel, respectively) are not equal. The difference term (Fel − Gel)/V (V: system volume) is the osmotic pressure pel. The DLVO theory is based on the assumption that Fel = Gel, suggesting that this theory can be justified only for small pel, namely for weakly charged systems. The experiments show that the DLVO theory provides seemingly satisfactory pictures for weakly charged colloidal systems but not for strongly interacting ones. The widely accepted view that the mean-field approach should predict only repulsion is not justified. The intrinsic reason why the DLVO theory has provided only repulsion seems to be due to the assumption Fel = Gel.

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