The angular term, V ang , is a measure of how directly the patches on adjacent particles point at each other. Here, θ αij is the angle between the patch vector and the vector between the two neighbouring particles, r ij , the magnitude of which is given by r (Fig. ). σ ang is a measure of the width of the patch which dictates the energetic penalty of particles deviating from being perfectly aligned, such that a larger σ ang value relates to worse alignment of the two octahedral facets, Fig. ). Through this work we examine how changing σ ang between 0.1 -1.0 effects the solid-state phase behaviour of the interacting octahedral particles. Here each of the particles have four patches of two types, α and β, where the patch directions are described by the patch vectors p α and p β . (c) Top: an example of the lowest energy orientation of an interaction with preferred alignment of opposing patches. Bottom: the maximum displacement between the two particles that is likely to occur with a small patch width (small σ ang ). (d) The maximum displacement between the two particles that is likely to occur with a large patch width (large σ ang ) leading to the formation of more ordered structures when σ ang is small than for larger values of σ ang .