Figure shows the copper-sulfur binary phase diagram, and the shape of the convex hull and the energies of the points on it change depending on the correction method. The convex hulls shown in figure , and 3B are visually different. Additionally, figure 3A (standard correction) shows that CuS 2 is stable, whereas figure 3B (our correction) shows that it is not. CuS 2 would require copper to be in an unusual +4 oxidation state, which indicates that our correction again provides results that are more likely to be physically accurate.