With this in mind, let us again look at the specific case of water. We found earlier that when water is the solute, on average ∆G solv i,j / (RT) is predicted to be overly negative by 3.4, 3.5, and 2.4 (dimensionless units) when using SM12, SM8, and SMD, respectively. Further, ∆G self i,i / (RT) for water is predicted to be overly negative by 3.8, 4.8, and 4.3 (dimensionless units) for SM12, SM8, and SMD, respectively. From eq. ( ), this leads to a convenient cancellation of errors in the calculation of ln γ ∞ i,j . For the case of SM12, using the predicted value of ∆G self i,i , this would suggest that on average the value of ln γ ∞ i,j is overly positive by just 0.4. On the other hand, using the reference value of ∆G self i,i , the corresponding value would be overly negative by 3.4. This is illustrated for SM12 in fig. where the predictions were again broken down to cases where water was the solvent (j =water), water was the solute (i =water), and when neither the solvent or solute was water.