Supplementary Table: "Total Free Energy Surface of MgO Melt" T[K] c4 c3 c2 c1 c0 1500 +2.7739 -4.5845 -1.0717 +0.2202 -6.7744 1667 +2.8051 -4.5546 -1.0865 +0.1409 -6.8893 1833 +2.8657 -4.4951 -1.1072 +0.0559 -7.0133 2000 +2.9526 -4.4093 -1.1332 -0.0349 -7.1470 2500 +3.3332 -4.0301 -1.2329 -0.3301 -7.5954 3000 +3.8347 -3.5228 -1.3491 -0.6463 -8.1054 3500 +4.4010 -2.9395 -1.4668 -0.9710 -8.6675 4000 +4.9955 -2.3139 -1.5769 -1.2964 -9.2746 4500 +5.5907 -1.6738 -1.6754 -1.6173 -9.9213 5000 +6.1729 -1.0329 -1.7596 -1.9306 -10.6029 5500 +6.7296 -0.4057 -1.8295 -2.2342 -11.3160 6000 +7.2553 +0.2010 -1.8850 -2.5269 -12.0573 6500 +7.7469 +0.7826 -1.9269 -2.8081 -12.8245 6667 +7.9020 +0.9694 -1.9379 -2.8992 -13.0860 6833 +8.0527 +1.1525 -1.9476 -2.9885 -13.3485 7000 +8.2011 +1.3342 -1.9559 -3.0772 -13.6151 F(V) = sum( ci*(log_e(V) - log_e(Vref))^i ) with log_e(Vref) = 3.2 Free energy is given as a polynomial in log_e(V) with T-dependent coefficients. Total F-surface is evaluated by cubic interpolation within this table, providing smooth V, T derivatives to obtain all needed thermodynamic properties.