Heat capacity coefficients

In most cases heat capacities are given in the form proposed by Haas & Fisher (1976):

The extrapolation of heat capacities presented in this form to high temperatures is not possible, or at the very least, problematic (Berman & Brown, 1985). Therefore Berman & Brown (1985) and Berman (1988) did a refit of the original calorimetric data using a modified form which can be extrapolated to high temperatures :

In a conservative approach, the original cp functions were used here in their validity range up to Tmax, with extrapolations only done using the form and the parameters proposed by Berman & Brown (1985).

empty

a

b*10^3

c*10^6

d*10^-3

e*10^-4

f*10^-6

g*10^-7

from

 

to

 

empty
akermanite 445.110 -51.463 21.857 -3.7937 0

0

0

298 1100 Robie et al. (1979)
akermanite 389.640

0

0

-2.9656

0

0

-18.333 1100 1800 Berman & Brown (1985)
albite 583.940 -92.852 22.722 -6.4242

0

1.6780

0

298 1400 Hemingway et al. (1981)
almandine 292.7397 346.520 -153.160 0.71627

0

-7.2125

0

298 1000 Bohlen et al. (1986)
almandine 723.000 -26.775

0

-6.0436

0

-1.9921

0

1000 1800 Holland & Powell (1990)
analbite 671.370 -146.710 36.586 -7.9736

0

3.1740

0

298 1400 Hemingway et al. (1981)
analcite 571.830

0

0

-7.1887

0

0

149.306 298 1800 Berman & Brown (1985)
andalusite 277.306 -6.588

0

-2.2656

0

-1.9141

0

298 1800 Hemingway et al. (1991)
andradite 809.240 -70.250

0

-7.4030

0

-0.6789

0

298 1250 Robie et al. (1987)
anorthite 800.971 -292.900 105.663 -9.44981

0

3.18591

0

298 1250 Hemingway et al. (1982)
anorthite 439.370

0

0

-3.7341

0

0

-31.702 1250 1800 Berman & Brown (1985)
anthophyllite 1259.938 18.884

0

-8.1274

0

-11.6427

0

298 1200 Hemingway (1991)
antigorite 9011.990

0

0

-63.9810

0

-145.9624 1907.022 298 1800 Berman & Brown (1985)
aragonite 81.533 45.673

0

0

0

-1.1405

0

298 600 Robie et al. (1979)
aragonite 166.620

0

0

-1.4994

0

0

5.449 600 1800 Berman & Brown (1985)
boehmite 205.721 -34.921

0

-2.63527

0

1.02666

0

298 700 Hemingway et al. (1991)
brucite 102.220 15.107

0

0

0

-2.6172

0

298 500 Robie et al. (1979)
brucite 136.840

0

0

-0.5371

0

-4.3619 55.269 500 1800 Berman & Brown (1985)
CaAl-pyroxene 322.848

0

0

-2.18582

0

-2.72024

0

298 1800 Hemingway et al. (1982)
calcite 99.715 26.920

0

0

0

-2.1576

0

298 650 Robie et al. (1979)
calcite 193.240

0

0

-2.0409

0

0

19.946 650 1800 Berman & Brown (1985)
carpholite 667.800 -12.559

0

-6.4400

0

-1.1671

0

298 1800 Holland & Powell (1990)
chloritoid 484.600 -13.808

0

-4.7622

0

-0.1989

0

298 1800 Holland & Powell (1990)
chrysotile 1079.540

0

0

-6.1446

0

-28.9252 394.752 298 1800 Berman & Brown (1985)
clinochlore 1214.280

0

0

-11.2171

0

0

-125.625 298 1800 Berman (1988)
clinoenstatite 411.120 -25.592

0

-4.5954

0

2.3852

0

298 1600 Robie et al. (1979)
clinozoisite 834.6220 -39.6894

0

-8.14875

0

0

0

298 900 Hemingway et al. (1982)
clinozoisite 751.370

0

0

-6.5857

0

-1.9308 5.143 900 1800 Berman & Brown (1985)
coesite 94.9070

0

0

-0.7673

0

-0.5279 2.627 298 1800 Berman (1988)
cordierite 821.340 43.339

0

-5.0003

0

-8.2112

0

298 1700 Robie et al. (1979)
corundum 233.004 -39.1826 9.4441 -2.46518

0

0

0

298 1800 Hemingway et al. (1982)
a-cristobalite -4159.600 2548.000

0

71.6800

0

-62.8590

0

298 523 Robie et al. (1979)
b-cristobalite 72.753 1.3004

0

0

0

-4.1320

0

523 1800 Robie et al. (1979)
deerite 3164.400 -27.883

0

-26.7210

0

-5.0391

0

298 1800 Holland & Powell (1990)
diaspore 150.556

0

0

-1.73002

0

0.24307

0

298 650 Hemingway et al. (1982)
diaspore 143.240

0

0

-1.5404

0

-0.3231 6.463 650 1800 Berman & Brown (1985)
diopside 191.820 83.079 -21.718

0

0

-4.2795

0

298 1600 Robie et al. (1979)
dolomite 547.880 -167.590 77.076 -6.5479

0

2.8400

0

298 900 Robie et al. (1979)
dolomite 368.020

0

0

-3.7508

0

0

18.079 900 1800 Berman & Brown (1985)
edenite 1264.900 24.090

0

-7.7040

0

-12.5600

0

298 1800 Holland & Powell (1990)
enstatite 356.200 -2.990

0

-3.1850

0

-0.5970

0

298 1800 Holland & Powell (1985)
fayalite 248.930

0

0

-1.9239

0

0

-13.910 298 1800 Berman (1988)
ferrocordierite 851.500 44.724

0

-5.6234

0

-6.6450

0

298 1800 Holland & Powell (1990)
ferroglaucophane 1762.900 -118.992

0

-20.2071

0

9.4237

0

298 1800 Holland & Powell (1990)
ferroactinolite 1290.000 29.991

0

-8.9470

0

-8.4475

0

298 1800 Holland & Powell (1990)
ferrosilite 338.120

0

0

-2.3860

0

-4.1944 58.506 298 1800 Berman (1988)
forsterite 87.360 87.170 -22.370 0.8436

0

-3.6990

0

298 1800 Robie et al. (1979)
gehlenite 588.351 -134.306 38.9086 -6.27433

0

1.51047

0

298 1500 Hemingway & Robie (1984)
gehlenite 373.090

0

0

-2.2768

0

-4.7785 47.791 1500 1800 Berman & Brown (1985)
glaucophane 1717.500 -121.070

0

-19.272

0

7.0750

0

298 1800 Holland (1988)
grossularite 985.362 -193.287 33.5314 -10.7077

0

1.7708

0

298 850 Hemingway et al. (1982)
grossularite 573.430

0

0

-2.0394

0

-18.8872 231.931 850 1800 Berman (1988)
grunerite 1383.100 30.669

0

-11.2576

0

-4.2247

0

298 1800 Holland & Powell (1990)
hedenbergite 310.460 12.570

0

-2.03993

0

-1.84604

0

298 1800 Haselton et al. (1987)
a-hematite -5750.0704 1177.9302

0

257.6669 -370.2932 333.8738 -2003.3214 298 950 Robie et al. (1979)
b-hematite -1095.700 272.670

0

33.9600

0

-102.3900

0

950 1800 Robie et al. (1979)
hercynite 238.00 6.820

0

-1.8627

0

-0.9031

0

298 1800 Holland & Powell (1990)
ilmenite 262.661 -79.9893 33.8771 -2.53794

0

0.3827

0

298 1650 Anovitz et al. (1985)
a-iron 14.100 29.7064

0

0

0

0.17991

0

298 800 Barin et al. (1977)
a-iron -263.454 255.810

0

0

0

61.9230

0

800 1000 Barin et al. (1977)
a-iron -641.905 696.339

0

0

0

0

0

1000 1042 Barin et al. (1977)
a-iron 1946.255 -1787.497

0

0

0

0

0

1042 1060 Barin et al. (1977)
a-iron -561.932 334.143

0

0

0

291.2110

0

1060 1184 Barin et al. (1977)
g-iron 23.991 8.360

0

0

0

0

0

1184 1665 Barin et al. (1977)
jadeite 301.130 10.143

0

-2.0551

0

-2.2393

0

298 1000 Robie et al. (1979)
jadeite 311.290

0

0

-2.0051

0

-5.3503 66.257 1000 1800 Berman & Brown (1985)
kalsilite 242.000 -4.482

0

-1.9358

0

-0.8958

0

298 1800 Holland & Powell (1990)
kaolinite 1498.350 -270.841

0

-16.5573 0 2.9839

0

298 550 Hemingway et al. (1982)
kaolinite 1046.460

0

0

-8.8534

0

-4.4886 18.462 550 1800 Berman & Brown (1985)
kyanite 279.435 -7.124

0

-2.28936

0

-2.0556

0

298 1800 Hemingway et al. (1991)
larnite 249.689

0

0

-2.09429

0

0

0

298 970 Hemingway et al. (1982)
a`-larnite 161.620

0

18.8970

0

0

0

0

970 1800 Hemingway et al. (1982)
laumontite 515.469 186.060

0

0

0

-6.8743

0

298 750 Helgeson et al. (1978)
lawsonite 877.642 -73.1378 17.2830 -11.4045

0

7.7004

0

298 1800 Berman & Brown (1985)
leucite (tetra.) 148.420 134.250

0

0

0

-2.1645

0

298 955 Robie et al. (1979)
leucite (cubic) 196.470 27.666

0

0

0

12.261

0

955 1800 Robie et al. (1979)
lime 71.6851 -6.16496 2.23862 -0.43199

0

-0.25558

0

298 1000 Hemingway et al. (1982)
lime 58.790

0

0

-0.1339

0

-1.1471 10.298 1000 1800 Berman & Brown (1985)
magnesite 81.119 52.254

0

0

0

-1.8320

0

298 800 Robie et al. (1979)
magnesite 194.080

0

0

-2.1210

0

-0.1533 17.491 800 1800 Berman & Brown (1985)
a-magnetite -21637.1243 4591.0951

0

928.8223 -1299.0655 1123.9752 -6481.8403 298 848 Robie et al. (1979)
b-magnetite 96.823 52.733

00

0

0

56.4130

0

848 1800 Robie et al. (1979)
margarite 826.504 -50.291

0

-8.42744

0

0

0

298 1200 Hemingway et al. (1982)
meionite 1316.000 64.990

0

-8.9320

0

-8.9630

0

298 1200 Holland & Powell (1985)
merwinite 453.620

0

00

-3.2500

0

0

-34.423 298 1800 Berman & Brown (1985)
microcline 759.550 -217.110 64.333 -9.5268

0

4.7632

0

298 1100 Hemingway et al. (1981)
monticellite 231.404 -0.85314 -1.333 -1.62342

0

-1.24743

0

298 1500 Sharp et al. (1986)
mullite 754.550 -29.426

0

-6.5757

0

-3.4541

0

298 1800 Robie et al. (1979)
muscovite 917.670 -81.110

0

-10.348

0

2.8341

0

298 1000 Robie et al. (1979)
muscovite 651.490

0

0

-3.8732

0

-18.5232 274.247 1000 1800 Berman & Brown (1985)
Na-phlogopite 773.500 -40.229

0

-6.5126

0

-2.5979

0

298 1800 Holland & Powell (1990)
a-nepheline 27.740 295.400

0

0

0

0

0000

298 467 Robie et al. (1979)
b-nepheline 112.090 67.110

00

0

0

0

0

467 1180 Robie et al. (1979)
g-nepheline 172.000 5.520

0

0

0

0

0

1180 1525 Robie et al. (1979)
nickel 11.110 37.872

0

0

0

0.32281

0

298 600 Holmes et al. (1986)
nickel -2254.156 2535.030

0

0

0

276.4775

0

600 631 Holmes et al. (1986)
nickel -70.754 90.924

0

0

0

18.5720

0

631 700 Holmes et al. (1986)
nickel 20.688 9.9716

0

0

0

1.5223

0

700 1728 Holmes et al. (1986)
a-NiO -27.552 169.040

0

0

0

1.9083

0

298 525 Holmes et al. (1986)
b-NiO -37.715 175.730

0

0

0

0

0

525 565 Holmes et al. (1986)
g-NiO 58.417 -7.1212

0

0

0

0

0

565 800 Holmes et al. (1986)
g-NiO 35.109 15.1064

0

0

0

3.9426

0

800 1200 Holmes et al. (1986)
g-NiO 45.518 12.038

0

0

0

00

0

1200 2000 Holmes et al. (1986)
paragonite 691.910

0

0

-5.3320

0

-11.0225 162.829 298 1800 Berman & Brown (1985)
pargasite 1280.200 22.997

0

-8.0658

0

-12.3595

0

298 1800 Holland & Powell (1990)
periclase 65.211 -1.2699

0

-0.38724

0

-0.46185

0

298 1800 Robie et al. (1979)
phlogopite 872.130 -77.250

0

-8.6006

0

0.3575

0

298 900 Robie & Hemingway (1984)
phlogopite 610.380

0

0

-2.0838

0

-21.5330 284.104 900 1800 Berman (1988)
prehnite 946.022 -115.065

0

-10.5605

0

2.75523

0

298 800 Hemingway et al. (1982)
prehnite 652.390

0

0

-4.2318

0

-12.1193 160.044 800 1800 Berman & Brown (1985)
pumpellyite 1720.800 -24.928

0

-14.6203

0

-5.9987

0

298 1800 Holland & Powell (1990)
pyrope 802.580 -95.795

0

-7.2873

0

-2.3522

0

298 800 Robie et al. (1979)
pyrope 535.550

0

0

-1.2414

0

-19.6256 217.002 800 1800 Berman & Brown (1985)
pyrophyllite 1454.510 -792.186 397.189 -17.7428

0

6.06936

0

298 750 Hemingway et al. (1982)
pyrophyllite 665.930

0

0

-5.8974

0

-4.9799 66.181 750 1800 Berman & Brown (1985)
a-quartz 81.1447 18.2834 5.4058 -0.69846

0

-0.18099

0

298 844 Hemingway (1987)
b-quartz 57.9588 9.33019

0

0

0

1.83471

0

844 1800 Hemingway (1987)
rankinite 473.209 -42.071

0

-4.3188

0

0.33972

0

298 1200 Hemingway et al. (1982)
rutile 77.840

0

0

0

0

-3.3678 40.294 298 1800 Berman & Brown (1985)
sanidine 693.370 -171.700 49.188 -8.3054

0

3.4622

0

298 1250 Hemingway et al. (1981)
sanidine 395.490

0

0

-2.4159

0

-8.5454 121.491 1250 1800 Berman & Brown (1985)
sapphirine 1545.988 158.2389

0

0

0

-46.3671

0

298 1300 Kiseleva (1976)
sillimanite 280.190 -6.900

0

-2.39937

0

-1.37573

0

298 2000 Hemingway et al. (1991)
sphene 176.730 23.852

0

0

0

-3.9905

0

298 1250 Robie et al. (1979)
sphene 234.620

0

0

-1.0403

0

-5.1183 59.146 1250 1800 Berman & Brown (1985)
spinel 226.495

0

0

-1.49101

0

-2.71281 15.353 298 1800 estimated
spurrite 99.715 453.264 -163.002 3.31276

0

-6.87774

0

298 1300 estimated
staurolite 3050.4566

0

0

-30.8215

0

10.3698 -278.2959 298 1800 Hemingway & Robie (1984)
talc 664.110

0

0

-5.1872

0

-2.1472 32.737 298 1300 Berman & Brown (1985)
tilleyite 672.639 11.769

0

-4.3188

0

-3.97548

0

298 1300 estimated
tremolite 2102.740 -471.689 111.464 -24.1463

0

7.631

0

298 1600 Robie et al. (1979)
a-tridymite 75.370

0

0

0

0

-5.9581 95.825 298 432 Berman (1988)
b-tridymite 74.904 3.0999

0

-0.23669

0

-1.174

0

432 1800 Robie et al. (1979)
vesuvianite 3062.270 352.290

0

0

0

-87.697

0

298 1600 Valley et al. (1985)
wairakite 420.074 186.060

0

0

0

-6.8743

0

298 1000 Helgeson et al. (1978)
wollastonite 289.066

0

0

-1.09104

0

-8.7878 120.178 298 995 Richet et al. (1991)
wollastonite 270.056

0

0

-0.63956

0

0

0

995 1398 Richet et al. (1991)
c-wollastonite 309.318

0

0

-2.0178

0

-1.4708

0

1398 1800 Richet et al. (1991)
wuestite -19.296 30.165

0

1.5009

0

-2.5333

0

298 1652 Robie et al. (1979)
zoisite 834.622 -39.6894

0

-8.14875

0

0

0

298 900 Hemingway et al. (1982)
zoisite 751.370

0

0

-6.5857

0

-1.9308 5.143 900 1800 Berman & Brown (1985)
 
carbondioxide 87.820 -2.6442

0

-0.99886

0

0.70641

0

298 1800 Robie et al. (1979)
water 10.4381 25.955 -4.46885 0.29919

0

-0.13108

0

298 1800 Robie et al. (1979)
oxygen 48.318 -0.69132

0

-0.42066

0

0.49923

0

298 1800 Robie et al. (1979)


last modified: 8.8.1997 by Matthias Gottschalk