By applying B-site displacements of 0.04 Å along the [0,0,1], [1,1,0] and [1,1,1] crystallographic directions as well as varying the magnitude of the displacement along [0,0,1], we are able to compare the influence of B-site displacement on the dissimilarity measure. The results of pairwise EMD calculated using GRID (Fig. ) show that larger displacements do indeed give larger distance from the parent structure. We find that the displacement distance has a stronger effect than displacement direction on the similarity distance, which can be understood from the radial nature of GRID. There are, however, slight differences in EMD between the different displacement directions, showing that the GRID does encode some angular information for periodic structures. In comparison, equivalent EMD results using the RDF (Fig. ) show that while RDF captures the magnitude of atomic displacement, it does not distinguish displacement in different directions.