K2O-MgO-Al2O3-SiO2

Phlogopite data, consistent with the calorimetry of Circone & Navrotsky (1993), now agree perfectly with the experiments of Peterson & Newton (1990) for 2phl + 6q = 3en + 2san + 2H2O, but only marginally with the experiments of Wood (1976) on the same reaction. The agreement with the experiments of Bohlen et al. (1983) is less good. Eastonite data is provisional, and is based on the approximate compositions of biotite coexisting with phengite, sanidine and quartz at 5 kbar and 700°C in the diagrams of Massonne & Schreyer (1987), using the equilibrium 3mu + 2phl = 3east + 2san + 3q + 2H2O. A non-ideal mixing model for biotites was used (see notes).

The celadonite enthalpy was derived from the experiments of Massonne & Schreyer (1989) on the equilibria 2ta + 6mu + 4q/coe = 6 cel + 6ky + 2H2O. The resulting data are in reasonable agreement with the experiments of Massonne & Schreyer (1987) and Velde (1965) on the equilibria 3cel = phl + 2san + 3q + 2H2O and of Massonne & Schreyer (1987) on the equilibrium 3mu + 2phl = 3east + 2san + 3q + 2H2O. However, the calculated curve for the talc + muscovite breakdown curve ta + mu = phl + ky + 3q + H2O does not agree well with the experiments of Massonne & Schreyer (1989), signalling that thermodynamic modelling of phengites and aluminous biotites requires further work.

199)  kals + san = 2lc   (Scarfe et al., 1965; Lindsley 1966)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     -      4.0     600  628    27.75   28.87           620    14   3 (28.31 <-> 28.95)
     0     -      6.0     675  700    28.43   29.43           678    14   cH = 28.54 (sd  0.27) 
     0     -      8.0     725  750    28.08   29.08           737    14   within bracket
     0     -  25.0 22.0    1200       26.14   29.89         22.84  0.77   uH = 0.23, d/s = 0.9, h = 0.94
 
200)  san + fo = lc + en   (Luth, 1967)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     -      1.0     975 1005    16.84   17.53          1001    22   1 (16.91 <-> 17.46)
                                                                          cH = 17.45 (sd  0.25) 
                                                                          within bracket
                                                                          uH = 0.12, d/s = 3.0, h = 0.64
 
201)  2phl + 3en = 2san + 6fo + 2H2O   (Luth, 1967)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.4     850  900   260.69  270.26           873    14   1 (261.86 <-> 268.37)
     0     0      0.7     905  950   261.11  269.13           927    16   cH = 265.12 (sd  1.38) 
                                                                          within bracket
                                                                          uH = 0.97, d/s = 4.2, h = 0.23
 
202)  2phl + san = 3lc + 3fo + 2H2O   (Luth, 1967)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.4     900  950   315.99  328.96           906    10   1 (316.28 <-> 320.30)
     0     0      0.7     940  960   315.64  320.58           947    12   cH = 317.47 (sd  1.43) 
                                                                          within bracket
                                                                          uH = 1.33, d/s = 1.7, h = 0.41
 
*  2phl = kals + lc + 3fo + 2H2O   (Luth, 1967)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.4    1000 1020   289.85  294.02     -4    996    14    ** NOT USED **
     0     0      0.7    1050 1075   288.74  293.68          1051    14   cH = 288.93 (sd  1.44)
     0     0      1.0    1150 1175   300.60  305.36    -61   1089    16   
 
203)  kals + 2en = san + 2fo   (Wendlandt & Eggler, 1980)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     -  27.0 25.0    1170       -8.13   -6.32         25.05  1.15   1 (-7.99 <-> -6.46)
                                                                          cH = -6.36 (sd  0.52) 
                                                                          too high but OK
                                                                          uH = 0.47, d/s = 1.9, h = 0.36
 
*  5mu + 3clin = 5phl + 8ky + q + 12H2O   (Bird & Fawcett, 1973)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
 -1.00     0      7.2     632  640  1062.65 1067.95    -11    621    12    ** NOT USED **
 -1.00     0      8.3     634  646  1060.44 1068.21     -8    626    12   cH = 1055.37 (sd  3.74)
 
*  5mu + 3clin = 5phl + 8ky + q + 12H2O   (Massonne, unpub)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
 -1.68     0      4.0     540  570  1018.19 1040.11     21    591    10    ** NOT USED **
 -1.68     0      6.0     570  590  1030.12 1043.94     17    607    10   cH = 1055.37 (sd  3.74)
 
*  6mu + 2phl + 15q = 3crd + 8san + 8H2O   (Seifert, 1976)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  1.46     0      1.0     520  530   846.34  853.58     12    542     6    ** NOT USED **
  1.46     0      2.0     580  600   860.26  873.63           583     6   cH = 862.22 (sd  2.10)
  1.46     0      3.0     630  640   868.31  874.64    -10    620     6   
  1.46     0      4.0     660  670   864.52  870.62     -4    656     6   
  1.46     0      5.0     685  700   858.63  867.51           691     6   
 
 
*  mu + clin + 2q = crd + phl + 4H2O   (Seifert, 1970)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
 -0.29     0      1.0     485  505   378.96  385.75           504     4    ** NOT USED **
 -0.29     0      2.0     515  535   380.47  386.81           531     6   cH = 385.43 (sd  0.85)
 -0.29     0      5.0     595  625   385.50  394.13           595     6   
 -0.29     0      6.0     625  645   388.63  394.25    -11    614     6   
 -0.29     0      7.0     650  660   390.45  393.20    -18    632     6   
 
204)  6cel + 6ky + 2H2O = 2ta + 6mu + 4coe   (Massonne & Schreyer, 1989)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
 -2.11     0  41.0 39.0     750     -224.93 -215.52  -0.89  38.11  1.87   5 (-223.36 <-> -213.80)
 -2.54     0  41.0 39.0     670     -227.53 -218.02  -1.40  37.60  1.84   cH = -211.31 (sd  4.43) 3
  0.42     0  36.0 34.0     770     -221.73 -212.14  -0.17  33.83  1.84   too high but OK
 -1.25     0  36.0 34.0     666     -213.94 -204.22         35.46  1.82   uH = 3.67, d/s = -1.8, h = 0.58
  1.22     0  36.0 34.0     587     -236.77 -226.94  -3.15  30.85  1.77   
  2.41     0  31.0 29.0     754     -215.41 -205.61         30.16  1.81   
  4.00     0  31.0 29.0     685     -230.15 -220.25  -1.79  27.21  1.77   
  1.63     0  31.0 29.0     601     -214.40 -204.39         30.38  1.77   
 
205)  6cel + 6ky + 2H2O = 2ta + 6mu + 4q   (Massonne & Schreyer, 1989)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  3.11     0  26.0 24.0     742     -216.30 -204.67   2.86  28.86  1.58   4 (-226.73 <-> -218.36)
  5.46     0  26.0 24.0     656     -236.61 -224.87         25.35  1.54   cH = -232.78 (sd  4.43) 3
  3.49     0  26.0 24.0     573     -223.30 -211.45   1.61  27.61  1.54   too low but OK
  8.66     0  21.0 19.0     728     -233.63 -221.81         20.86  1.54   uH = 2.52, d/s = -3.9, h = 0.42
  6.63     0  21.0 19.0     647     -216.10 -204.16   2.81  23.81  1.53   
 14.52     0  16.0 14.0     663     -247.76 -235.74  -0.49  13.51  1.52   
 
*  3cel = phl + 2san + 3q + 2H2O   (Massonne & Schreyer, 1987)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  1.94     0  21.0 19.0     645      150.54  159.65  -1.80  17.20  1.05    ** NOT USED **
  3.60     0  16.0 14.0     649      161.59  171.13         14.66  1.02   cH = 167.96 (sd  2.38)
  4.92     0  11.6  9.6     590      164.03  174.01         10.81  0.98   
  5.73     0  11.6  9.6     590      158.25  168.23          9.65  0.96   
  5.29     0  11.6  9.6     689      175.57  185.81   1.53  13.13  1.00   
  8.28     0   8.0  6.0     650      165.65  176.69          7.57  0.91   
 10.83     0   6.0  4.0     700      162.46  174.87          5.09  0.81   
 
*  3cel = phl + 2san + 3q + 2H2O   (Velde, 1965; Massonne & Schreyer, 1987)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  7.67     0      2.0     375  390   165.66  167.64      3    393    28    ** NOT USED **
  5.68     0      4.5     440  480   172.40  178.79    -28    412    26   cH = 167.96 (sd  2.38)
 
206)  3mu + 2phl = 3east + 2san + 3q + 2H2O   (Massonne & Schreyer, 1987)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
 -2.10     0   6.0  4.0     700      192.91  203.77          4.97  4.04   1 (193.78 <-> 202.90)
                                                                          cH = 198.34 (sd  10.40) 2
                                                                          within bracket
                                                                          uH = 1.16, d/s = 4.7, h = 1.00
 
*  ta + mu = phl + ky + 3q + H2O   (Massonne & Schreyer, 1989)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  0.06     0     10.0     595  623    91.18   92.95     17    640    24    ** NOT USED **
  0.28     0     15.0     662  675    91.18   91.92     37    712    26   cH = 94.02 (sd  0.72)
  0.49     0     20.0     723  732    90.69   91.16     55    787    30   
  0.70     0     25.0     771  790    89.25   90.16     81    871    32   
 
207)  3clin + 3phl + 23q = 3mu + 8ta + 4H2O   (Massonne & Schreyer, 1989)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
 -1.63     0      9.6     562        297.89                   601    46   2 (304.51 <-> 309.22)
 -1.63     0     14.0          544           308.49           505    44   cH = 303.23 (sd  2.91) 3
 -0.91     0     10.6     639        305.24            -17    622    50   too low but OK
 -0.91     0     13.0          619           309.72           566    48   uH = 1.69, d/s = 1.0, h = 0.13
 
 
208)  2phl + 6q = 3en + 2san + 2H2O   (Bohlen et al., 1983)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0  0.66      5.0     775  805   213.31  217.58     17    822    20   1 (213.77 <-> 217.12)
                                                                          cH = 219.95 (sd  1.37) 2
                                                                          too high 
                                                                          uH = 0.74, d/s = 2.9, h = 0.13
 
209)  2phl + 6q = 3en + 2san + 2H2O   (Peterson & Newton, 1990)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0  0.73      2.5     745  765   218.51  221.69           754    18   1 (218.76 <-> 221.43)
                                                                          cH = 219.95 (sd  1.37) 2
                                                                          within bracket
                                                                          uH = 0.82, d/s = 1.9, h = 0.20
 
*  2phl + 6q = 3en + 2san + 2H2O   (Wood, 1976)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0   0.3  0.3     750      222.88  225.11   0.08   0.43  0.08    ** NOT USED **
     0     0   0.5  0.4     790      225.83  228.19   0.25   0.72  0.15   cH = 219.95 (sd  1.37)
 
 


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