Melting equilibria
Melt phases have been discussed above, and here it is merely noted that the phase equilibria used (melting curves of end-member silicates) are all well reproduced by the data set. The data for melts of sillimanite composition are based on an approximate melting temperature (Holland & Carpenter, 1986), and are provisional. Because the molar proportion of sillimanite liquid in any practical calculation for melting of common mineral assemblages is likely to be very small, the uncertainty will probably not contribute much error. More serious is the crude assumption that the heat capacities of the melt components are constant, and this could lead to problems when applying such melt models at the low temperatures involved in wet silica-saturated systems.
307) di = diL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1385 1395 -6.86 -6.03 1386 8 3 (-7.42 <-> -6.16) 0 - 10.0 1510 1530 -7.59 -5.86 1519 8 cH = -6.79 (sd 0.36) 0 - 20.0 1620 1640 -7.65 -5.86 1630 8 within bracket 0 - 30.0 1700 1720 -8.76 -6.94 2 1722 8 uH = 0.53, d/s = -0.1, h = 1.00 0 - 50.0 1860 1880 -7.10 -5.21 1863 8 308) abh = abL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1115 1125 0.24 0.76 1117 8 3 (-0.03 <-> 0.65) 0 - 10.0 1230 1250 -0.15 0.91 1239 8 cH = 0.32 (sd 0.20) 0 - 20.0 1310 1330 -0.79 0.29 1 1331 8 within bracket 0 - 30.0 1390 1410 -0.14 0.94 1399 8 uH = 0.29, d/s = 0.1, h = 0.77 309) san = kspL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1180 1220 -7.84 -5.71 1196 10 3 (-7.37 <-> -6.61) 0 - 20.0 1440 1460 -7.56 -6.54 1451 10 cH = -6.99 (sd 0.27) 0 - 30.0 1515 1535 -7.17 -6.18 1519 10 within bracket 0 - 40.0 1540 1560 -7.72 -6.77 1556 12 uH = 0.27, d/s = 0.7, h = 1.00 310) en = enL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1550 1570 4.31 6.19 1553 10 3 (3.86 <-> 5.37) 0 - 10.0 1660 1680 3.95 5.88 1667 10 cH = 4.62 (sd 0.44) 0 - 20.0 1750 1770 3.40 5.35 1763 10 within bracket 0 - 30.0 1830 1850 3.28 5.26 1844 8 uH = 0.57, d/s = 0.8, h = 1.00 0 - 50.0 1960 1980 3.48 5.48 1971 8 311) crst = qL (Jackson, 1976) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1716 1736 -17.07 -16.92 1718 30 1 (-17.05 <-> -16.93) cH = -17.05 (sd 0.11) 2 within bracket uH = 0.04, d/s = 2.0, h = 0.63 312) q = qL (Jackson, 1976) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 7.0 1710 1750 -12.80 -12.45 27 1777 24 3 (-12.42 <-> -12.18) 0 - 10.0 1820 1860 -12.58 -12.20 1860 22 cH = -12.21 (sd 0.11) 2 0 - 15.0 1970 2010 -12.39 -11.97 1987 22 within bracket 0 - 20.0 2100 2140 -12.27 -11.83 2105 20 uH = 0.09, d/s = -1.1, h = 0.37 313) an = anL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1545 1555 -48.34 -47.73 1548 12 1 (-48.39 <-> -47.67) cH = -48.16 (sd 0.37) within bracket uH = 0.30, d/s = 1.0, h = 0.81 314) an = anL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary -1.51 - 5.0 1220 1240 -49.28 -48.11 1239 12 2 (-49.25 <-> -48.19) -2.21 - 10.0 1105 1125 -49.29 -48.16 1125 12 cH = -48.16 (sd 0.37) 2 too high but OK uH = 0.38, d/s = 1.5, h = 0.19 315) fo = foL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1885 1895 9.45 10.30 1887 8 3 (9.12 <-> 10.14) 0 - 10.0 1940 1960 9.07 10.73 1947 8 cH = 9.63 (sd 0.33) 0 - 20.0 1980 2000 7.93 9.56 1 2001 8 within bracket 0 - 30.0 2030 2050 8.02 9.62 2050 8 uH = 0.43, d/s = 0.1, h = 1.00 0 - 50.0 2130 2150 9.15 10.72 2136 8 316) fa = faL (Clarke, 1966) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1200 1222 41.76 43.44 1216 8 3 (42.38 <-> 43.52) 0 - 10.0 1265 1285 42.12 43.61 1276 8 cH = 42.95 (sd 0.32) 0 - 20.0 1323 1343 42.16 43.60 1334 8 within bracket 0 - 30.0 1380 1400 42.30 43.69 1389 10 uH = 0.42, d/s = 0.9, h = 1.00 0 - 50.0 1490 1510 42.65 43.95 1495 10 317) sill = silL (estimate) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 0 - 0.0 1700 1710 80.14 80.91 1705 14 1 (80.07 <-> 80.98) cH = 80.53 (sd 0.52) within bracket uH = 0.39, d/s = 1.0, h = 1.00 318) h2oL = H2O (Goldsmith & Jenkins, 1985) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary 1.90 0 0.9 0.9 900 22.80 23.56 -0.21 0.64 0.04 6 (25.35 <-> 25.89) 1.43 0 2.2 1.8 820 23.81 24.75 -0.30 1.50 0.13 cH = 25.62 (sd 0.21) 2 1.20 0 3.2 2.8 785 24.80 25.36 -0.17 2.63 0.26 within bracket 1.02 0 4.2 3.8 760 25.70 26.11 0.08 4.28 0.42 uH = 0.23, d/s = -4.8, h = 1.00 0.94 0 5.2 4.8 750 25.64 25.99 0.03 5.23 0.49 0.87 0 6.2 5.8 735 25.73 26.03 0.14 6.34 0.56 0.73 0 8.2 7.8 715 25.76 26.03 0.22 8.42 0.64 0.62 0 11.3 10.7 685 25.24 25.60 -0.03 10.67 0.70 319) abh = abL (Goldsmith & Jenkins, 1985) ln_K x(CO2) P(kbar) T(C) H(low) H(high) miss calc 2sd summary -1.16 - 1.0 890 910 -0.23 0.88 900 8 3 (-0.11 <-> 0.84) -1.68 - 2.0 810 830 -0.55 0.58 825 8 cH = 0.32 (sd 0.20) 2 -2.07 - 3.0 775 795 0.30 1.47 775 6 within bracket -2.30 - 4.0 750 770 0.21 1.40 752 6 uH = 0.34, d/s = 0.4, h = 0.23 -2.39 - 5.0 740 760 -0.27 0.92 750 6 -2.56 - 6.0 725 745 -0.25 0.95 735 6 -2.86 - 8.0 705 725 -0.09 1.14 712 6 -3.22 - 11.0 675 695 -0.64 0.61 690 6
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