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We introduce the Poisson-Boltzmann cell model for spherical colloidalparticles with a heterogeneous surface charge distribution. This model isobtained by generalizing existing cell models for mixtures of homogeneouslycharged colloidal spheres. Our new model has similar features as Onsager'ssecond-virial theory for liquid crystals, but it predicts no orientationalordering if there is no positional ordering. This implies that all phases ofheterogeneously charged colloids that are liquid-like with respect totranslational degrees of freedom are also isotropic with respect to particleorientation.

Poisson-Boltzmann cell model for heterogeneously charged colloids