MgO-SiO2

New end-members in this subsystem are clinohumite, antigorite and the high-pressure Phase A. Clinohumite data are fitted to the experiments of Duffy & Greenwood (1979) and Phase A to the experiments of Pawley & Wood (1996). The entropy of antigorite was estimated from Holland (1989), the volume was taken from Mellini et al. (1987), and the enthalpy was derived from fitting to the experiments of Evans et al. (1976). The experiments of Aranovich & Newton (1996) on dehydration of brucite have provided much more stringent constraints on the brucite enthalpy. Data for cummingtonite are now fitted to the experiments of Fonarev & Korolkov (1980), using the Fe-Mg order-disorder model in Holland & Powell (1996b). The experiments of Koziol & Newton (1995, 1997) and those of Johannes & Metz (1968) and Philipp & Girsperger (in Trommsdorff & Connolly, 1990) on magnesite decarbonation are now used, as well as those of Koziol & Newton (1995, 1997) on the reactions 2mag + en = 2fo + 2CO2 and 2mag + 2q = en + 2CO2.

 
18)  ta + 2en = anth   (Chernosky et al., 1985)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     -     10.0     755  780     8.39    8.79      3    783    18   1 (8.41 <-> 8.77)
                                                                          cH = 8.85 (sd  0.15) 
                                                                          too high but OK
                                                                          uH = 0.13, d/s = 1.6, h = 0.51
 
19)  phA = 3br + 2fo   (Pawley & Wood, 1995)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     -  27.5 26.0     500       10.88   11.54         26.67  2.27   3 (10.88 <-> 11.61)
     0     -  34.8 32.5     600       11.04   11.95         34.29  2.63   cH = 11.24 (sd  0.51) 2
     0     -  39.5 37.5     650       10.88   11.58         38.46  2.87   within bracket
                                                                          uH = 0.30, d/s = 0.8, h = 1.00
 
20)  br = per + H2O   (Barnes & Ernst, 1963;)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.5     564  574    80.87   81.60           573     4   3 (81.10 <-> 81.80)
     0     0      1.0     604  607    80.99   81.18      5    612     4   cH = 81.51 (sd  0.14) 2
     0     0      1.5     633  648    81.31   82.16           637     6   within bracket
     0     0      2.0     653  664    81.35   81.94           656     6   uH = 0.30, d/s = -0.3, h = 0.13
 
 
21)  br = per + H2O   (Aranovich & Newton, 1995)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      2.0     655  670    81.46   82.26           656     6   3 (81.23 <-> 81.86)
     0     0      4.2     715  730    81.23   81.93           721     6   cH = 81.51 (sd  0.14) 
     0     0      7.0     770  790    80.98   81.82           783     8   within bracket
     0     0     10.0     830  845    81.29   81.87           836     8   uH = 0.25, d/s = 0.0, h = 0.77
     0     0     15.0     890  905    80.93   81.46      1    906     8   
 
22)  br = per + H2O   (Schramke et al., 1981; Irving et al., 1977)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      4.0     690  725    80.29   81.93           716     6   1 (80.81 <-> 81.50)
     0     0      5.1     720  745    80.50   81.62           743     6   cH = 81.51 (sd  0.14) 2
     0     0      6.1     740  765    80.46   81.54           764     6   too high but OK
     0     0      8.1     785  806    80.77   81.62           803     8   uH = 0.24, d/s = 1.6, h = 0.08
 
*  br = per + H2O   (Irving et al., 1977)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0     17.0     915  945    80.99   82.02           930     8    ** NOT USED **
     0     0     27.0    1020 1080    81.45   83.31          1022    10   cH = 81.51 (sd  0.14)
     0     0     33.0    1075 1105    81.93   82.83    -14   1061    10   
 
23)  2ta = 3en + 2q + 2H2O   (Chernosky, 1976; Chernosky et al., 1985; Skippen, 1971)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.5     656  672   216.19  219.55           663     2   3 (217.26 <-> 219.44)
     0     0      1.0     700  721   218.16  222.18     -3    697     2   cH = 217.66 (sd  0.27) 
     0     0      2.0     725  735   217.03  218.77           729     4   within bracket
                                                                          uH = 0.93, d/s = 0.3, h = 0.10
 
24)  2ta = 3en + 2q + 2H2O   (Chernosky et al., 1985)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0     10.0     790  800   215.93  217.35      2    802     4   3 (214.48 <-> 216.14)
     0     0     13.0          800           216.01     12    812     4   cH = 217.66 (sd  0.27) 
     0     0     13.6     785        213.80                   814     4   too high 
     0     0     17.0     795        214.39                   820     4   uH = 0.70, d/s = 0.1, h = 0.08
 
 
25)  2ta = 3en + 2q + 2H2O   (Jenkins, Holland & Clare, 1991)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0     25.0     800  820   214.34  216.78      7    827     4   1 (214.54 <-> 216.57)
     0     0     28.0     770        210.69                   829     4   cH = 217.66 (sd  0.27) 
                                                                          too high 
                                                                          uH = 0.61, d/s = 2.0, h = 0.05
 
*  2ta = 3en + 2coe + 2H2O   (Pawley & Wood, 1995)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0     29.0     800  820   224.96  227.28     10    830     6    ** NOT USED **
     0     0     38.0     770  790   224.99  227.18     11    801     6   cH = 228.40 (sd  0.29)
     0     0     49.0          730           224.48     38    768     6   
 
26)  2fo + 2ta = 5en + 2H2O   (Chernosky, 1976; Chernosky et al., 1985)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.5     600  621   198.70  202.93           619     2   3 (201.46 <-> 203.75)
     0     0      1.0     652  657   203.38  204.29     -4    648     4   cH = 202.61 (sd  0.30) 
     0     0      2.0     650  677   199.44  203.85           669     4   within bracket
     0     0      3.0     673  692   201.56  204.53           680     4   uH = 0.97, d/s = -0.2, h = 0.36
     0     0      4.0     686  691   202.72  203.48     -1    685     4   
     0     0      6.0     679  694   201.21  203.36           689     4   
 
27)  2anth = 7en + 2q + 2H2O   (Chernosky & Autio, 1979)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      1.0     719  760   197.50  204.02           735     6   3 (199.00 <-> 200.74)
     0     0      1.5     752  767   199.28  201.51           757     6   cH = 199.97 (sd  0.40) 
     0     0      2.0     765  775   199.10  200.51           771     6   within bracket
     0     0      3.0     755        195.37                   790     6   uH = 0.74, d/s = 0.8, h = 0.30
     0     0     10.0          815           200.77           808     8   
 
28)  7ta = 3anth + 4q + 4H2O   (Chernosky & Autio, 1979)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.5     647  677   462.24  476.28     -1    646     2   3 (461.85 <-> 466.56)
     0     0      1.0     664  687   456.41  466.24           677     4   cH = 461.87 (sd  0.70) 
     0     0      1.5     693  701   461.61  464.86           694     4   within bracket
     0     0      2.0     706  719   461.90  467.02           706     4   uH = 2.00, d/s = 0.5, h = 0.22
     0     0      3.0     727  742   462.72  468.39     -2    725     4   
 
29)  2anth + 2fo = 9en + 2H2O   (Chernosky et al., 1985)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      0.5     632  667   183.21  189.20           642     6   1 (183.29 <-> 185.32)
     0     0      2.0     677  710   181.86  186.26           700     6   cH = 184.92 (sd  0.43) 
     0     0      4.0     677        181.26                   708     8   within bracket
     0     0      5.0     684  735   182.64  188.54           704     8   uH = 0.72, d/s = 1.5, h = 0.14
     0     0      6.0     661  701   180.93  185.40           697     8   
 
30)  9ta + 4fo = 5anth + 4H2O   (Chernosky et al., 1985)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      1.0     625  645   450.19  458.97     -2    623     4   3 (447.63 <-> 453.25)
     0     0      2.0     635  660   445.66  455.75           644     4   cH = 449.45 (sd  0.93) 
     0     0      5.0     665  685   445.49  452.89           676     6   within bracket
     0     0      6.0     674  689   446.30  451.76           683     6   uH = 2.02, d/s = 0.4, h = 0.27
 
31)  br + chr = 2fo + 3H2O   (Johannes, 1968; Kitahara et al., 1966)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      1.0     350  370   212.99  216.17           358     4   1 (213.71 <-> 215.64)
     0     0      3.0     380  400   213.26  215.80           388     6   cH = 214.29 (sd  0.52) 
     0     0      4.0     395  430   213.55  218.80           401     4   within bracket
     0     0      7.0     415  440   212.60  216.31           427     8   uH = 0.61, d/s = 1.8, h = 0.48
     0     0     18.2     450  520   210.33  219.40           481     8   
     0     0     27.3     460  520   209.12  216.39           503    10   
 
 
32)  5chr = ta + 6fo + 9H2O   (Chernosky, 1973)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      4.0     456  476   680.54  690.52           471    10   1 (682.38 <-> 689.97)
     0     0      5.0     468  488   681.83  691.53           481    10   cH = 687.95 (sd  2.53) 
                                                                          within bracket
                                                                          uH = 2.50, d/s = 1.7, h = 0.58
 
33)  atg = 4ta + 18fo + 27H2O   (Evans et al., 1976)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     0      2.0     480  540  2122.22 2222.55           531     8   3 (2198.23 <-> 2217.92)
     0     0      4.0     520  570  2144.07 2220.72           562    10   cH = 2208.07 (sd  7.18) 
     0     0      6.0     560  590  2173.44 2216.89           584    10   within bracket
     0     0     10.0     615  630  2207.15 2227.17           616    10   uH = 7.17, d/s = 0.7, h = 1.00
     0     0     15.0     640  660  2205.88 2230.75           642    12   
 
34)  2cumm = 7en + 2q + 2H2O   (Fonarev & Korolkov, 1980)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  0.79     0      3.0     718  748   174.75  178.25           732    24   2 (174.66 <-> 178.07)
  0.64     0      5.0     728  758   174.73  177.99           743    26   cH = 176.37 (sd  1.39) 
                                                                          within bracket
                                                                          uH = 1.35, d/s = 1.2, h = 1.00
 
35)  chum = 4fo + per + H2O   (Duffy & Greenwood, 1979)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
  0.43     0      2.0        751      106.31  107.62          0.43  0.16   1 (106.37 <-> 107.56)
                                                                          cH = 106.97 (sd  0.68) 
                                                                          within bracket
                                                                          uH = 0.41, d/s = 1.6, h = 1.00
 
36)  mag = per + CO2   (Harker & Tuttle, 1955; Goldsmith & Heard, 1962)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1      0.7     730  750   116.38  118.48           731     4   3 (116.53 <-> 117.99)
     0     1      1.4     800  825   116.74  119.17     -3    797     4   cH = 116.43 (sd  0.23) 
     0     1      2.1     800  875   112.30  119.23           845     6   too low but OK
     0     1      2.8     875  900   115.59  117.81           885     6   uH = 0.52, d/s = 1.0, h = 0.19
     0     1      3.0          952           121.43           895     6   
     0     1      5.0     977 1008   115.61  118.14           987     6   
 
37)  mag = per + CO2   (Johannes & Metz, 1968; Philipp & Girsperger, 1990; Koziol & Newton, 1995)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1      0.5     680  710   113.91  117.18           703     4   3 (115.43 <-> 116.68)
     0     1      1.0     740  760   114.14  116.16      3    763     4   cH = 116.43 (sd  0.23) 
     0     1      2.0     810  835   113.79  116.12      3    838     6   within bracket
     0     1      0.5     700  710   116.09  117.18           703     4   uH = 0.53, d/s = -0.0, h = 0.44
     0     1   0.6  0.6     715      115.86  116.75          0.58  0.03   
     0     1      1.0     760  770   116.16  117.17           763     4   
 
*  mag = per + CO2   (Irving & Wyllie, 1975)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1     18.0    1350 1400   114.25  117.46          1384     8    ** NOT USED **
     0     1     21.0    1420 1470   114.00  117.09          1459     8   cH = 116.43 (sd  0.23)
     0     1     22.7         1520           117.59          1501     8   
 
*  2mag + 2q = en + 2CO2   (Johannes, 1969)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1      2.0     510  520   168.19  170.08     -3    507     4    ** NOT USED **
                                                                          cH = 167.66 (sd  0.40) 
 
 
38)  2mag + 2q = en + 2CO2   (Koziol & Newton, 1995)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1      7.5     638  663   162.73  166.75      6    669     4   5 (166.59 <-> 170.42)
     0     1      8.0     640  670   161.30  166.09     10    680     4   cH = 167.66 (sd  0.40) 
     0     1  10.6 10.2     715      164.81  166.00  -0.54   9.66  0.24   within bracket
     0     1     12.0     750  782   166.11  170.90           760     6   uH = 1.02, d/s = -1.9, h = 0.38
     0     1     14.0     801  820   168.35  171.12     -5    796     6   
     0     1     15.5     816  851   166.81  171.82           822     6   
     0     1     17.5     870  890   169.82  172.61    -15    855     6   
 
*  2mag + 2coe = en + 2CO2   (Haselton et al., 1978)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1     37.0    1120 1140   154.54  157.02          1139     6    ** NOT USED **
     0     1     41.6    1185 1200   154.21  156.02      8   1208     6   cH = 156.93 (sd  0.41)
 
39)  2mag + en = 2fo + 2CO2   (Haselton et al., 1978; Koziol, 1994)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     1      8.0     740  780   177.06  183.45           775     6   3 (179.96 <-> 183.74)
     0     1     10.0     810  830   179.53  182.60      1    831     6   cH = 182.72 (sd  0.41) 
     0     1     14.0     930  950   182.22  185.09           933     6   within bracket
     0     1     17.6    1000 1020   179.94  182.67          1020     6   uH = 1.60, d/s = -0.3, h = 0.35
     0     1  23.1 22.2    1125      179.87  182.47  -0.08  22.12  0.28   
     0     1     24.2    1150 1180   179.92  183.69          1172     6   
     0     1     28.7    1240 1280   178.79  183.56          1273     6   
     0     1     33.3    1380 1400   183.32  185.57     -5   1375     8   
     0     1     37.0    1450 1500   182.04  187.45          1456     8   
 
40)  ta + 5mag = 4fo + 5CO2 + H2O   (Greenwood, 1967)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0  0.40      2.0     540        562.57             -7    533     4   3 (563.93 <-> 572.63)
     0  0.35      2.0          550           571.18           529     4   cH = 558.10 (sd  1.01) 2
     0  0.75      2.0     560        563.61             -9    551     4   too low 
     0  0.73      2.0          586           579.20           550     4   uH = 3.11, d/s = 1.1, h = 0.01
     0  0.51      2.0          560           570.17           540     4   
 
41)  2wo + 2mont = di + merw   (Yoder, 1968)
 
  ln_K  x(CO2)  P(kbar)      T(C)     H(low) H(high)  miss   calc   2sd        summary
     0     -   6.0  6.7     740       24.97   26.20          6.04  0.27   1 (25.09 <-> 26.03)
     0     -   6.2  7.0     700       24.84   26.25          6.32  0.27   cH = 25.04 (sd  0.24) 
     0     -   6.5  7.3     650       24.75   26.16          6.67  0.27   too low but OK
                                                                          uH = 0.24, d/s = 2.5, h = 0.46
 
 


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