Additional file 1: Figure S1. of Melting phase relations in the MgSiO3–CaSiO3 system at 24 GPa

Pressure calibrations at room temperature (RT) and high temperatures. Fo, Mg2SiO4, forsterite; Wd, Mg2SiO4 wadsleyite; Rw, Mg2SiO4 ringwoodite; Ak, MgSiO3 akimotoite; Bdg, MgSiO3 bridgmanite; Pc, MgO periclase. Pressures of the phase transitions at high temperatures were taken from Morishima et al. (1994), Suzuki et al. (2000), and Fei et al. (2004). The red point at 790 ton, 23 GPa, and 2273 K is 0.55 GPa away from the green curve of 1873 K, which is comparable to the standard deviation of the fitting curves, 0.4 GPa. Figure S2: Heating power-temperature relationships. Figure S3: Melting temperatures of MgO. The black line represents the melting temperatures calculated in this study, and the dashed gray line represents those by de Koker and Stixrude (2009). The melting temperatures determined by high-pressure experiments and ab initio calculations are also plotted: orange squares, Zerr and Boehler (1994); green triangles, Alfe (2005); blue circles, Zhang and Fei (2008); purple squares, Du and Lee (2014); and red squares, Kimura et al. (2017). Figure S4: Melting phase diagram in the MgO–MgSiO3 system at 24 GPa. The black line represents the phase boundary calculated in this study, and the gray line represents that by Liebske and Frost (2012). The experimental data by Liebske and Frost (2012) are also plotted, where the red circle represents the composition of liquid above liquidus, the green squares represent liquid coexisting with periclase (Pc), the orange squares represent liquid coexisting with bridgmanite (Bdg), and the diamonds represent subsolidus phases. Interaction parameter updated by Ohnishi et al. (2017) was used to calculate the phase relations. Figure S5: X-ray diffraction patterns of the run products. The black short bars beneath the curves denote the peak positions of bridgmanite (Bdg) and rhenium (Re). (PDF 1046 kb)