Measured and predicted dimensionless diffusivities for colloidal silica in Ludox (a) SM 30, (b) HS 40 and (c) TM 50, at equilibrium salt concentrations of 0.5 mM (lighter, green) and 5 mM (darker, red). The large experimental scatter near ϕ=0.2 is an artefact of numerical differentiation of slowly varying data. Arrows show the first volume fraction where the deviatoric strain, or anisotropy, is measurably non-zero. In other words, it marks the point where the dispersion begins to act as a solid, with a yield stress. In (a), we also show the corresponding prediction (as a dashed line) where equation (2.15) is replaced by the modified hard-sphere compressibility factor ZP from Peppin et al. [9], which diverges at random close packing. Figure data are provided in the electronic supplementary material.