We also checked that the approach presented here correctly reproduces the previous results on pressure-induced transitions in MgSiO 171 (see Fig. 8.3). In this calculation, we set Gaussian parameters =7000 kbar, =0.8 , and =3.0 . Structures were relaxed using the GULP code with a partially ionic Buckingham potential 227. Our calculation found the transition from perovskite to post-perovskite, and structures b, c, d were also observed in the simulation. Plane sliding with the formation of stacking faults is a possible pathway for this phase transition, in accordance with the previous metadynamics study 220.
After these successful tests, we applied it to two challenging and important problems, namely the pressure-induced transformations of elemental carbon and Al2 SiO5 . Modified formalism based on Eq. 6 gives very similar results, but is invariant to the choice of supercell and more efficient.