We analyse the interaction of charged Janus particles including screening e ects. The explicit interaction is mapped via a least square method on a variable number n of systematically generated tensors that re ect the angular dependence of the potential. For n = 2 we show that the interaction is equivalent to a model previously described by Erdmann, Kröger and Hess (EKH). Interestingly, this mapping is not able to capture the subtleties of the interaction for small screening lengths. Rather, a larger number of tensors has to be used. We nd that the characteristics of the Janus type interaction plays an important role for the aggregation behaviour. We obtained cluster structures up to the size of 13 particles for n = 2 and 36 and screening lengths κ −1 = 0.1 and 1.0 via Monte Carlo simulations. The in uence of the screening length is analysed and the structures are compared to results for an electrostatic-type potential and for multipole-expanded Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. We nd that a dipole-like potential (EKH or dipole DLVO approximation) is not able to su ciently reproduce the anisotropy e ects of the potential. Instead, a higher order expansion has to be used to obtain clusters structures that are identical to experimental results for up to N = 8 particles. The resulting minimum-energy clusters are compared to those of sticky hard sphere systems. Janus particles with a short-range screened interaction resemble sticky hard sphere clusters for all considered particle numbers, whereas for long-range screening even very small clusters are structurally di erent.
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