In general there is an increasing trend of inversion as the Zn content is increased. This observation implies that the addition of Zn to MnFe 2 O 4 results in an increase in overall inversion. This is corroborated by the experimental results of Sakuri et al. where it is found that in a mixed ZnFe 2 O 4 -MnFe 2 O 4 spinel system, 44 % of Zn atoms are in octahedral sites in contrast to the 11 % of Mn atoms. These results from the swapping only ChemDASH show that stable structures for each composition (restricted to those possible in the full unit cell) are readily accessible. For the relatively simple restricted system studied here 9 ChemDASH runs are possible with reasonable computational resources, for more complex systems where both A and B cations can be doped out, running ChemDASH at every composition becomes unfeasible. Using a single ChemDASH run at each composition also neglects any relationship between compositions that are similar. The aim of the vc-ChemDASH methodology therefore aims to address both these points by using the relationship between compositions to study the phase space without having to study each composition separately. For all runs, the energies of the structures do not exceed 35 meV atom -1 above the end members. This energy as compared with the thermal energy k B T corresponds to T = 406 K which is readily achievable with experimental set-ups. Our calculations use a temperature T = 298 K for the acceptance criteria (k B T ≈ 25 meV atom -1 ). The probability of accepting a structure that is 25 meV atom -1 higher in energy that the previous structure is therefore e -1 ≈ 36.8%.