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We use computer simulations and simple theoretical models to analyze themorphologies that result when rod-like particles end-attach onto a curvedsurface, creating a finite-thickness monolayer aligned with the surface normal.This geometry leads to two forms of frustration, one associated with theincompatibility of hexagonal order on surfaces with Gaussian curvature, and thesecond reflecting the deformation of a layer with finite thickness on a surfacewith non-zero mean curvature. We show that the latter effect leads to afaceting mechanism. Above threshold values of the inter-particle attractionstrength and surface mean curvature, the adsorbed layer undergoes a transitionfrom orientational disorder to an ordered state that is demarcated byreproducible patterns of line defects. The number of facets is controlled bythe competition between line defect energy and intra-facet strain. Tuningcontrol parameters thus leads to a rich variety of morphologies, includingicosahedral particles and irregular polyhedra. In addition to suggesting a newstrategy for the synthesis of aspherical particles with tunable symmetries, ourresults may shed light on recent experiments in which rod-like HIV GAG proteinsassemble around nanoscale particles.

Faceted particles formed by the frustrated packing of anisotropic colloids on curved surfaces