We have prepared aqueous MgSO 4 solutions doped with various divalent metal cations (Ni 2? , Zn 2? , Mn 2? , Cu 2? , Fe 2? , and Co 2? ) in proportions up to and including the pure end-members. These liquids have been solidified into fine-grained polycrystalline blocks of metal sulfate hydrate ? ice by rapid quenching in liquid nitrogen. In a companion paper (Fortes et al., in Phys Chem Min 39) we reported the identification of various phases using X-ray powder diffraction, including meridianiitestructured undecahydrates, melanterite-and epsomitestructured heptahydrates, novel enneahydrates and a new octahydrate. In this work we report the changes in unitcell parameters of these crystalline products where they exist over sufficient dopant concentrations. We find that there is a linear relationship between the rate of change in unit-cell volume as a function of dopant concentration and the ionic radius of the dopant cation; large ions such as Mn 2? produce a substantial inflation of the hydrates' unitcell volume, whereas smaller ions such as Ni 2? produce a modest reduction in unit-cell volume. Indeed, when the data for all hydrates are normalised (i.e., divided by the number of formula units per unit-cell, Z, and the hydration number, n), we find a quantitatively similar relationship for different values of n. Conversely, there is no relationship between the degree of unit-cell inflation or deflation and the limit to which a given cation will substitute into a certain hydrate structure; for example, Co 2? and Zn 2? affect the unit-cell volume of MgSO 4 Á11H 2 O to a very similar degree, yet the solubility limits inferred in our companion paper are [60 mol. % Co 2? and \30 mol. % Zn 2? .