Fig. 4: Correlation between the predicted transition temperature and Helmholtz energy difference between β-quartz and β-cristobalite at \({T}_{{\rm{q}}-{\rm{c}}}^{\exp }\), and \({V}_{{\rm{cristobalite}}}^{\exp }\) and \({V}_{{\rm{quartz}}}^{\exp }\).

The filled dark green circles show explicitly computed results and the line a linear fit of them. The hollow circles mark extrapolations out of the stability regime of the phases. The light green triangles mark predictions for rung 4 and 5 functionals (labeled in italics) utilizing the fit.