Among our screened materials, we can isolate those with interesting predicted diffusivity properties (see Supplementary Section 6), a sampling of which is shown in Figure and summarized in Table . These materials were selected for (a) large mean diffusivity, (b) small mean diffusivity, and (c) large mean and highly anisotropic diffusivities, respectively. Materials (a) and (c) respectively contain a 3d-connected and 2d-connected network of low E A paths, while material (b) only possesses a periodically connected migration network with relatively high E A .