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Critical point calculations of BSE and SiO2

Cochrane, Kyle C.

Included in this memo are the final values for the BSE and SiO2 critical points. VASP 5.3.3 was used to calculate the values in each table. Standard methodology is to continue equilibrating the simulation until the block averaged standard deviation is less than 1%. However, due to the simulation sizes in these simulations, the average standard deviation of the BSE pressure is 5% (ranging between 2% and 7%, which is much higher than the usual under 1% considered acceptable) and the SiO2 pressure is 6% with the lower density error bars being significantly larger than the highest density. The critical point is chosen where the dP/dρ >= 0 for an entire isotherm but is often difficult to distinguish because of the noise along each isotherm. As such, the actual values of the critical points are found by “best guess”. Further computer simulations creating a more pressure values along each isotherm would help but time constraints preclude this. Similarly, the ability to calculate pressures at lower densities that are currently feasible with VASP would also make determination of the critical point easier.