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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