Appendix 1. Low-temperature PPMS-heat capacity measurements on synthetic pyrope-grossular garnets.

Sources: HW80: Haselton and Westrum (1980), Geiger: syntheses performed by C.A. Geiger. SW: sample weight [mg]; FW: Formula weight [g mol-1].

Numbers in parentheses are one standard deviation and refer to the last digit.

Py #1
Source: HW80 / Py #2
Source: HW80 / Py #3
Source: Geiger / Py #4
Source: Geiger / Py90Gr10 #1
Source: Geiger / Py90Gr10 #2
Source: Geiger / Py90Gr10 #3
Source: Geiger
FW / 403.129 / FW / 403.129 / FW / 403.129 / FW / 403.13 / FW / 407.955 / FW / 407.955 / FW / 407.955
SW / 23.74 / SW / 23.74 / SW / 27.17 / SW / 27.17 / SW / 22.44 / SW / 22.44 / SW / 16.75
XGr / 0.000 / XGr / 0.000 / XGr / 0.000 / XGr / 0.000 / XGr / 0.102 / XGr / 0.102 / XGr / 0.102
T
[K] / Cp [J/(mol.K)] / T
[K] / Cp [J/(mol.K)] / T
[K] / Cp [J/(mol.K)] / T
[K] / Cp [J/(mol.K)] / T
[K] / Cp [J/(mol.K)] / T
[K] / Cp [J/(mol.K)] / T
[K] / Cp [J/(mol.K)]
5.156 / 0.012(2) / 5.059 / 0.014(3) / 5.133 / 0.016(1) / 5.115 / 0.017(1) / 5.058 / 0.016(1) / 5.131 / 0.015(1) / 5.051 / 0.011(1)
5.163 / 0.012(1) / 5.064 / 0.011(1) / 5.139 / 0.015(1) / 5.121 / 0.021(1) / 5.063 / 0.011(2) / 5.131 / 0.016(1) / 5.057 / 0.010(1)
5.165 / 0.019(2) / 5.072 / 0.011(1) / 5.144 / 0.015(0) / 5.129 / 0.018(1) / 5.064 / 0.013(2) / 5.135 / 0.017(1) / 5.061 / 0.011(1)
5.663 / 0.013(2) / 5.507 / 0.014(1) / 5.582 / 0.016(1) / 5.556 / 0.023(1) / 5.494 / 0.016(1) / 5.588 / 0.019(2) / 5.491 / 0.014(1)
5.670 / 0.016(1) / 5.512 / 0.015(1) / 5.589 / 0.016(1) / 5.570 / 0.022(1) / 5.495 / 0.015(1) / 5.595 / 0.015(1) / 5.498 / 0.014(1)
5.676 / 0.018(1) / 5.517 / 0.015(1) / 5.594 / 0.016(1) / 5.575 / 0.023(1) / 5.503 / 0.014(1) / 5.599 / 0.017(1) / 5.503 / 0.012(1)
6.220 / 0.024(2) / 5.987 / 0.019(1) / 6.065 / 0.023(1) / 6.044 / 0.028(1) / 5.976 / 0.017(1) / 6.074 / 0.023(2) / 5.970 / 0.017(1)
6.228 / 0.023(2) / 5.994 / 0.016(1) / 6.071 / 0.020(1) / 6.052 / 0.026(1) / 5.980 / 0.019(1) / 6.078 / 0.028(1) / 5.977 / 0.016(1)
6.232 / 0.018(2) / 5.999 / 0.018(1) / 6.076 / 0.023(1) / 6.058 / 0.026(1) / 5.985 / 0.019(2) / 6.084 / 0.026(2) / 5.984 / 0.016(1)
6.844 / 0.033(1) / 6.503 / 0.027(1) / 6.584 / 0.032(1) / 6.563 / 0.036(1) / 6.487 / 0.030(1) / 6.595 / 0.037(1) / 6.489 / 0.028(1)
6.845 / 0.033(2) / 6.510 / 0.029(1) / 6.592 / 0.028(1) / 6.571 / 0.035(1) / 6.494 / 0.028(1) / 6.602 / 0.032(1) / 6.495 / 0.025(1)
6.845 / 0.040(2) / 6.516 / 0.028(1) / 6.598 / 0.032(1) / 6.578 / 0.035(1) / 6.500 / 0.029(1) / 6.607 / 0.038(1) / 6.501 / 0.027(1)
7.445 / 0.045(2) / 7.087 / 0.038(1) / 7.176 / 0.036(1) / 7.156 / 0.047(1) / 7.070 / 0.039(1) / 7.185 / 0.043(1) / 7.071 / 0.042(1)
7.453 / 0.045(1) / 7.087 / 0.040(1) / 7.176 / 0.040(1) / 7.157 / 0.043(1) / 7.071 / 0.040(1) / 7.185 / 0.044(1) / 7.072 / 0.040(1)
7.457 / 0.044(1) / 7.088 / 0.039(1) / 7.178 / 0.040(1) / 7.159 / 0.046(1) / 7.072 / 0.039(1) / 7.185 / 0.048(1) / 7.073 / 0.041(1)
8.180 / 0.057(2) / 7.670 / 0.046(2) / 7.738 / 0.045(1) / 7.736 / 0.052(1) / 7.662 / 0.046(2) / 7.740 / 0.051(2) / 7.662 / 0.046(2)
8.185 / 0.055(1) / 7.677 / 0.046(2) / 7.743 / 0.045(1) / 7.739 / 0.053(1) / 7.668 / 0.046(1) / 7.745 / 0.052(1) / 7.668 / 0.046(2)
8.189 / 0.056(1) / 7.683 / 0.046(1) / 7.747 / 0.045(1) / 7.743 / 0.053(1) / 7.676 / 0.046(1) / 7.749 / 0.051(1) / 7.674 / 0.046(2)
8.978 / 0.078(2) / 8.337 / 0.057(2) / 8.408 / 0.055(2) / 8.405 / 0.064(2) / 8.330 / 0.056(2) / 8.408 / 0.062(2) / 8.328 / 0.056(2)
8.982 / 0.077(2) / 8.343 / 0.057(2) / 8.412 / 0.056(2) / 8.408 / 0.064(1) / 8.335 / 0.055(2) / 8.413 / 0.062(2) / 8.334 / 0.055(2)
8.989 / 0.078(2) / 8.349 / 0.057(2) / 8.417 / 0.055(1) / 8.413 / 0.064(1) / 8.340 / 0.056(2) / 8.419 / 0.062(2) / 8.340 / 0.055(2)
9.863 / 0.107(3) / 9.061 / 0.077(2) / 9.132 / 0.074(2) / 9.135 / 0.085(2) / 9.054 / 0.075(2) / 9.137 / 0.081(3) / 9.054 / 0.076(3)
9.866 / 0.105(2) / 9.066 / 0.078(2) / 9.137 / 0.074(2) / 9.138 / 0.083(2) / 9.058 / 0.074(2) / 9.141 / 0.083(2) / 9.058 / 0.077(3)
9.872 / 0.105(2) / 9.072 / 0.077(2) / 9.142 / 0.073(2) / 9.143 / 0.083(2) / 9.063 / 0.075(2) / 9.147 / 0.082(2) / 9.063 / 0.077(3)
10.837 / 0.133(4) / 9.849 / 0.102(3) / 9.925 / 0.097(3) / 9.928 / 0.109(2) / 9.842 / 0.098(3) / 9.929 / 0.106(4) / 9.840 / 0.100(4)
10.841 / 0.134(3) / 9.853 / 0.101(2) / 9.929 / 0.096(2) / 9.931 / 0.106(3) / 9.846 / 0.098(3) / 9.932 / 0.107(3) / 9.844 / 0.099(3)
10.848 / 0.135(3) / 9.860 / 0.102(2) / 9.937 / 0.097(2) / 9.936 / 0.106(2) / 9.852 / 0.097(2) / 9.940 / 0.105(3) / 9.850 / 0.099(3)
11.906 / 0.182(6) / 10.706 / 0.128(4) / 10.793 / 0.119(4) / 10.795 / 0.133(3) / 10.699 / 0.121(4) / 10.795 / 0.131(4) / 10.698 / 0.124(5)
11.906 / 0.179(4) / 10.710 / 0.126(3) / 10.797 / 0.119(3) / 10.797 / 0.132(3) / 10.701 / 0.121(3) / 10.800 / 0.129(3) / 10.701 / 0.123(4)
11.911 / 0.180(4) / 10.717 / 0.128(3) / 10.803 / 0.119(3) / 10.801 / 0.132(2) / 10.707 / 0.120(3) / 10.806 / 0.128(3) / 10.707 / 0.123(4)
13.075 / 0.245(5) / 11.640 / 0.159(5) / 11.728 / 0.153(4) / 11.732 / 0.169(4) / 11.631 / 0.152(5) / 11.733 / 0.167(5) / 11.630 / 0.152(6)
13.077 / 0.249(6) / 11.643 / 0.158(4) / 11.730 / 0.153(3) / 11.732 / 0.167(4) / 11.636 / 0.149(4) / 11.736 / 0.165(4) / 11.635 / 0.150(5)
13.080 / 0.246(5) / 11.651 / 0.158(3) / 11.737 / 0.152(3) / 11.737 / 0.167(3) / 11.642 / 0.150(4) / 11.743 / 0.166(4) / 11.642 / 0.150(5)
14.362 / 0.338(7) / 12.655 / 0.216(5) / 12.743 / 0.203(6) / 12.748 / 0.215(4) / 12.644 / 0.205(7) / 12.747 / 0.221(7) / 12.644 / 0.208(9)
14.365 / 0.332(9) / 12.657 / 0.213(5) / 12.745 / 0.201(4) / 12.750 / 0.219(5) / 12.647 / 0.202(5) / 12.750 / 0.215(5) / 12.645 / 0.208(6)
14.366 / 0.335(6) / 12.663 / 0.214(4) / 12.751 / 0.202(4) / 12.754 / 0.218(4) / 12.654 / 0.204(5) / 12.756 / 0.217(5) / 12.653 / 0.207(6)
15.780 / 0.453(8) / 13.756 / 0.290(8) / 13.850 / 0.271(5) / 13.853 / 0.284(5) / 13.748 / 0.277(6) / 13.855 / 0.291(9) / 13.745 / 0.286(8)
15.780 / 0.451(8) / 13.756 / 0.289(6) / 13.851 / 0.271(6) / 13.857 / 0.289(6) / 13.749 / 0.280(8) / 13.856 / 0.288(7) / 13.746 / 0.289(10)
15.791 / 0.458(13) / 13.762 / 0.289(5) / 13.856 / 0.268(5) / 13.858 / 0.285(5) / 13.753 / 0.277(5) / 13.862 / 0.293(6) / 13.751 / 0.288(7)
17.322 / 0.628(11) / 14.955 / 0.375(8) / 15.054 / 0.357(7) / 15.058 / 0.369(7) / 14.943 / 0.363(8) / 15.059 / 0.384(9) / 14.942 / 0.377(10)
17.323 / 0.627(11) / 14.957 / 0.379(9) / 15.056 / 0.353(9) / 15.063 / 0.371(7) / 14.946 / 0.371(11) / 15.064 / 0.388(12) / 14.946 / 0.377(13)
17.339 / 0.634(14) / 14.958 / 0.375(6) / 15.059 / 0.353(6) / 15.066 / 0.380(9) / 14.948 / 0.366(7) / 15.064 / 0.387(7) / 14.948 / 0.374(9)
19.025 / 0.863(15) / 16.254 / 0.497(9) / 16.363 / 0.471(8) / 16.371 / 0.486(9) / 16.244 / 0.493(10) / 16.372 / 0.522(10) / 16.243 / 0.503(13)
19.027 / 0.865(15) / 16.258 / 0.498(9) / 16.365 / 0.465(8) / 16.371 / 0.489(8) / 16.249 / 0.492(10) / 16.374 / 0.523(10) / 16.247 / 0.506(12)
19.055 / 0.887(17) / 16.259 / 0.505(13) / 16.372 / 0.471(12) / 16.382 / 0.499(11) / 16.249 / 0.494(14) / 16.382 / 0.525(13) / 16.249 / 0.510(18)
17.671 / 0.675(12) / 17.785 / 0.627(11) / 17.794 / 0.647(11) / 17.660 / 0.680(13) / 17.792 / 0.708(13) / 17.659 / 0.700(17)
17.672 / 0.675(11) / 17.786 / 0.628(11) / 17.795 / 0.650(12) / 17.663 / 0.677(12) / 17.794 / 0.704(13) / 17.661 / 0.700(16)
17.678 / 0.679(16) / 17.802 / 0.641(15) / 17.812 / 0.664(14) / 17.668 / 0.690(18) / 17.809 / 0.715(18) / 17.666 / 0.709(24)
19.203 / 0.892(15) / 19.318 / 0.842(14) / 19.332 / 0.864(15) / 19.193 / 0.918(16) / 19.327 / 0.952(17) / 19.192 / 0.936(20)
19.204 / 0.894(15) / 19.319 / 0.839(14) / 19.333 / 0.865(15) / 19.195 / 0.915(16) / 19.327 / 0.952(17) / 19.194 / 0.938(20)
19.219 / 0.904(20) / 19.345 / 0.857(17) / 19.360 / 0.884(17) / 19.209 / 0.927(22) / 19.354 / 0.956(19) / 19.207 / 0.955(29)
20.89 / 1.20(2) / 20.86 / 1.21(2) / 20.99 / 1.14(2) / 21.009 / 1.156(20) / 20.85 / 1.25(2) / 21.00 / 1.29(2) / 20.85 / 1.28(3)
20.90 / 1.21(2) / 20.87 / 1.20(2) / 21.00 / 1.14(2) / 21.01 / 1.16(2) / 20.86 / 1.25(2) / 21.01 / 1.29(2) / 20.86 / 1.28(3)
20.94 / 1.23(3) / 20.90 / 1.22(3) / 21.03 / 1.16(2) / 21.05 / 1.18(2) / 20.89 / 1.27(3) / 21.04 / 1.29(3) / 20.89 / 1.30(4)
22.94 / 1.68(3) / 22.68 / 1.61(3) / 22.81 / 1.55(3) / 22.83 / 1.57(3) / 22.67 / 1.68(3) / 22.82 / 1.75(3) / 22.67 / 1.70(4)
22.95 / 1.69(3) / 22.69 / 1.61(3) / 22.81 / 1.55(3) / 22.83 / 1.57(3) / 22.68 / 1.69(3) / 22.82 / 1.75(3) / 22.68 / 1.72(4)
22.99 / 1.71(4) / 22.71 / 1.64(4) / 22.85 / 1.56(3) / 22.87 / 1.59(3) / 22.71 / 1.72(4) / 22.86 / 1.77(4) / 22.70 / 1.74(5)
25.20 / 2.46(4) / 24.65 / 2.21(4) / 24.78 / 2.14(4) / 24.81 / 2.18(4) / 24.65 / 2.36(4) / 24.79 / 2.42(4) / 24.64 / 2.36(5)
25.20 / 2.48(4) / 24.65 / 2.20(4) / 24.79 / 2.13(4) / 24.82 / 2.15(4) / 24.65 / 2.35(4) / 24.80 / 2.36(4) / 24.64 / 2.36(5)
25.24 / 2.53(5) / 24.69 / 2.24(5) / 24.82 / 2.15(5) / 24.85 / 2.24(4) / 24.68 / 2.38(5) / 24.84 / 2.47(5) / 24.68 / 2.41(7)
27.68 / 3.47(6) / 26.80 / 3.02(5) / 26.94 / 2.93(5) / 26.96 / 2.99(6) / 26.80 / 3.20(6) / 26.95 / 3.32(6) / 26.79 / 3.24(8)
27.68 / 3.48(6) / 26.81 / 2.99(5) / 26.95 / 2.82(6) / 26.97 / 2.97(5) / 26.81 / 3.21(5) / 26.95 / 3.34(7) / 26.81 / 3.11(13)
27.72 / 3.64(8) / 26.84 / 3.20(10) / 26.99 / 2.95(7) / 27.01 / 3.07(6) / 26.84 / 3.40(11) / 27.00 / 3.26(7) / 26.84 / 3.05(11)
30.38 / 4.67(8) / 29.14 / 4.07(6) / 29.27 / 3.90(6) / 29.30 / 3.96(6) / 29.13 / 4.32(7) / 29.28 / 4.37(7) / 29.13 / 4.36(9)
30.39 / 4.72(7) / 29.14 / 4.06(7) / 29.28 / 3.89(6) / 29.30 / 3.95(6) / 29.14 / 4.31(7) / 29.28 / 4.38(7) / 29.13 / 4.36(9)
30.39 / 4.71(7) / 29.20 / 4.12(7) / 29.33 / 3.94(8) / 29.36 / 4.11(9) / 29.19 / 4.36(8) / 29.34 / 4.38(9) / 29.18 / 4.42(11)
31.83 / 5.47(9) / 31.69 / 5.39(8) / 31.81 / 5.22(8) / 31.85 / 5.27(8) / 31.68 / 5.69(9) / 31.82 / 5.81(9) / 31.67 / 5.74(12)
31.83 / 5.49(9) / 31.69 / 5.39(9) / 31.81 / 5.23(8) / 31.85 / 5.30(8) / 31.68 / 5.69(9) / 31.82 / 5.80(9) / 31.68 / 5.73(12)
31.89 / 5.54(10) / 31.74 / 5.46(10) / 31.87 / 5.31(10) / 31.91 / 5.38(9) / 31.74 / 5.75(11) / 31.88 / 5.89(11) / 31.73 / 5.81(13)
34.59 / 7.35(11) / 34.45 / 7.23(11) / 34.58 / 7.05(10) / 34.61 / 7.07(10) / 34.45 / 7.58(12) / 34.59 / 7.74(12) / 34.45 / 7.66(15)
34.59 / 7.35(11) / 34.46 / 7.24(11) / 34.58 / 7.03(10) / 34.61 / 7.08(11) / 34.45 / 7.60(12) / 34.59 / 7.74(12) / 34.45 / 7.68(16)
34.65 / 7.46(12) / 34.52 / 7.34(12) / 34.64 / 7.16(11) / 34.68 / 7.20(12) / 34.52 / 7.71(13) / 34.64 / 7.87(13) / 34.51 / 7.78(16)
37.60 / 9.66(14) / 37.47 / 9.48(14) / 37.58 / 9.30(13) / 37.62 / 9.29(14) / 37.47 / 9.87(15) / 37.59 / 10.14(15) / 37.46 / 10.00(19)
37.60 / 9.65(14) / 37.47 / 9.53(14) / 37.58 / 9.29(13) / 37.62 / 9.32(13) / 37.47 / 9.88(15) / 37.59 / 10.15(15) / 37.47 / 10.00(20)
37.65 / 9.80(15) / 37.54 / 9.65(15) / 37.64 / 9.44(14) / 37.69 / 9.49(16) / 37.54 / 10.03(16) / 37.65 / 10.28(16) / 37.53 / 10.14(20)
40.86 / 12.56(17) / 40.75 / 12.27(17) / 40.84 / 12.09(16) / 40.89 / 12.06(17) / 40.75 / 12.71(19) / 40.85 / 13.05(18) / 40.74 / 12.85(24)
40.86 / 12.54(17) / 40.75 / 12.31(17) / 40.85 / 12.09(16) / 40.89 / 12.05(17) / 40.75 / 12.71(19) / 40.86 / 13.04(18) / 40.74 / 12.84(24)
40.92 / 12.71(19) / 40.82 / 12.42(18) / 40.91 / 12.27(17) / 40.96 / 12.27(19) / 40.82 / 12.87(20) / 40.92 / 13.16(20) / 40.82 / 13.01(25)
44.41 / 15.86(21) / 44.30 / 15.85(21) / 44.39 / 15.34(19) / 44.45 / 15.28(20) / 44.31 / 16.30(23) / 44.40 / 16.38(22) / 44.30 / 16.46(29)
44.41 / 15.85(21) / 44.31 / 15.87(21) / 44.40 / 15.34(19) / 44.45 / 15.31(20) / 44.31 / 16.26(23) / 44.41 / 16.33(22) / 44.30 / 16.48(30)
44.48 / 16.00(22) / 44.39 / 16.09(23) / 44.46 / 15.53(21) / 44.51 / 15.50(21) / 44.39 / 16.48(26) / 44.47 / 16.50(23) / 44.38 / 16.78(32)
48.27 / 19.98(25) / 48.17 / 19.99(25) / 48.26 / 19.34(23) / 48.31 / 19.30(24) / 48.17 / 20.45(26) / 48.26 / 20.48(26) / 48.16 / 20.71(34)
48.27 / 19.95(25) / 48.17 / 20.03(25) / 48.26 / 19.32(23) / 48.31 / 19.29(24) / 48.17 / 20.43(27) / 48.27 / 20.45(26) / 48.17 / 20.73(34)
48.34 / 20.14(26) / 48.26 / 20.27(26) / 48.33 / 19.55(24) / 48.39 / 19.53(24) / 48.26 / 20.66(28) / 48.33 / 20.66(27) / 48.25 / 20.97(36)
52.47 / 24.51(29) / 52.37 / 24.62(29) / 52.45 / 23.74(27) / 52.51 / 23.72(28) / 52.38 / 25.08(31) / 52.46 / 24.89(30) / 52.36 / 25.25(40)
52.47 / 24.44(28) / 52.37 / 24.58(28) / 52.45 / 23.75(27) / 52.52 / 23.73(27) / 52.38 / 25.02(29) / 52.47 / 24.90(29) / 52.37 / 25.19(37)
52.55 / 24.71(30) / 52.46 / 24.90(31) / 52.52 / 24.04(28) / 52.59 / 23.97(29) / 52.47 / 25.28(34) / 52.54 / 25.12(31) / 52.46 / 25.58(43)
57.04 / 30.07(32) / 56.94 / 30.33(33) / 57.02 / 29.32(31) / 57.09 / 29.23(31) / 56.94 / 30.67(35) / 57.03 / 30.52(33) / 56.93 / 30.90(42)
57.05 / 30.06(32) / 56.94 / 30.25(31) / 57.03 / 29.33(30) / 57.09 / 29.31(31) / 56.95 / 30.67(33) / 57.04 / 30.50(34) / 56.93 / 30.93(45)
57.12 / 30.32(34) / 57.04 / 30.59(36) / 57.11 / 29.61(32) / 57.17 / 29.55(32) / 57.04 / 30.96(38) / 57.11 / 30.68(34) / 57.03 / 31.24(48)
62.01 / 36.67(36) / 61.91 / 36.72(34) / 61.99 / 35.77(32) / 62.07 / 35.77(34) / 61.90 / 37.14(36) / 62.00 / 37.16(38) / 61.90 / 37.43(51)
62.01 / 36.66(33) / 61.91 / 36.77(37) / 61.99 / 35.79(33) / 62.07 / 35.81(37) / 61.91 / 37.17(39) / 62.00 / 37.05(34) / 61.90 / 37.33(46)
62.10 / 36.72(38) / 62.01 / 37.10(39) / 62.09 / 35.84(36) / 62.16 / 35.87(38) / 62.01 / 37.44(42) / 62.09 / 37.15(40) / 62.00 / 37.72(53)
67.41 / 44.28(40) / 67.29 / 44.28(37) / 67.40 / 43.33(38) / 67.48 / 43.48(41) / 67.29 / 44.61(39) / 67.41 / 44.53(38) / 67.29 / 45.00(50)
67.41 / 44.30(43) / 67.29 / 44.21(37) / 67.40 / 43.41(35) / 67.48 / 43.36(38) / 67.29 / 44.55(40) / 67.41 / 44.61(37) / 67.30 / 44.94(56)
67.49 / 44.80(43) / 67.40 / 44.76(43) / 67.50 / 43.67(40) / 67.58 / 43.75(42) / 67.41 / 44.85(44) / 67.50 / 45.22(44) / 67.40 / 45.20(57)
73.26 / 52.59(41) / 73.16 / 52.59(41) / 73.26 / 51.57(41) / 73.35 / 51.71(45) / 73.17 / 53.04(42) / 73.27 / 52.71(40) / 73.16 / 52.97(51)