Introduction
Review Of Liquidus Thermodynamics
Liquidus Calculation
Si-Al System
Reference | Liquidus Data on Si Side of the Eutectic | Liquidus Data on Al Side of the Eutectic | ||
---|---|---|---|---|
X
Si
| Temperature, K (°C) |
\( X_{\text{Si}}^{*} \)
| Temperature, K (°C)* | |
Fraenkel[6] | 0.194 | 957 (684) | — | — |
0.391 | 1232 (959) | |||
0.597 | 1439 (1166) | |||
0.717 | 1503 (1230) | |||
Roberts[7] | 0.179 | 969 (696) | — | — |
0.319 | 1116 (843) | |||
0.391 | 1232 (959) | |||
0.482 | 1307 (1034) | |||
0.698* | 1503 (1230)* | |||
0.731* | 1526 (1253)* | |||
0.850* | 1607 (1334)* | |||
Gwyer and Phillips[8] | 0.134 | 875 (602) | 0.113 | 850 (577) |
0.142 | 889 (616) | 0.116 | 852 (579) | |
0.183 | 950 (677) | 0.119 | 852 (579) | |
0.124 | 867 (594) | |||
Bronievski and Smailowski[9] | 0.337 | 1131 (858) | ||
0.51 | 1333 (1060) | |||
Matsuyama[10] | 0.145 | 893 (620) | 0.077 | 878 (605) |
0.194 | 957 (684) | |||
0.292 | 1075 (802) | |||
0.39 | 1188 (915) | |||
0.49 | 1278 (1005) | |||
0.59 | 1380 (1107) | |||
0.692 | 1473 (1200) | |||
0.794* | 1545 (1272)* | |||
0.896* | 1640 (1367)* | |||
0.118 | 851 (578) | 0.0472 | 903 (630) | |
0.123 | 854 (581) | 0.0771 | 883 (610) | |
0.132 | 871 (598) | 0.1079 | 857 (584) | |
0.145 | 875 (602) | 0.02 | 915 (642) | |
0.165 | 905 (632) | 0.048 | 901 (628) | |
0.193 | 955 (682) | 0.068 | 890 (617) | |
0.213 | 982 (709) | 0.096 | 871 (598) | |
0.242 | 1015 (742) | 0.116 | 853 (580) | |
0.262 | 1039 (766) | |||
0.291 | 1075 (802) | |||
0.351 | 1160 (887) | |||
0.194 | 973 (700) | 0.058 | 894 (621) | |
0.077 | 878.5 (605.5) | |||
0.096 | 861 (588) | |||
0.13 | 873 (600) |
—
| — | |
0.2 | 973 (700) | |||
0.28 | 1073 (800) | |||
Singer and Cottrell[11] | — | — | 0.0052 | 928 (655) |
0.0093 | 927 (654) | |||
0.0115 | 925 (652) | |||
0.0144 | 924 (651) | |||
0.0394 | 908 (635) | |||
0.078 | 881 (608) |
Si-Ca System
Si-Mg System
Si-Fe System
Si-Ti System
Si-Zn System
Si-Cu System
Si-Ag System
Si-Au System
Si-Pt System
Si-Sn System
Si-Pb System
Si-Bi System
Si-Sb System
Si-Ga System
Si-In System
Si-Pd System
Si-Ni System
Si-Mn System
Si-Rh System
Evaluation of the Liquidus Constants
System |
a
|
b
|
T
eut. K (°C)* |
X
Si,
eut.
|
---|---|---|---|---|
Si–Al | –9789.7 | 3.7402 | 850.1 (577.1) | 0.119 |
Si–Ca | –83,820 | –0.2271 | 1296 (1023) | 0.694 |
Si–Mg | –73,857 | –32.612 | 1217 (944) | 0.527 |
Si–Fe | –99,915 | –47.18 | 1479 (1206) | 0.724 |
Si–Ti | –328,815 | –167.32 | 1591 (1318) | 0.87 |
Si–Zn | 29,206 | 16.26 | 692.2 (419.2) | 2.5 × 10−4
|
Si–Cu | –41,822 | –24.056 | 1075 (802) | 0.304 |
Si–Ag | –32,763.1 | –32.42 | 1108 (835) | 0.116 |
Si–Au | –49,248 | –24.058 | 633 (360) | 0.183 |
Si–Pt | –197,194 | –93.921 | 1220 (947) | 0.656 |
Si–Sn | 31,162 | 4.0289 | 505 (232) | 2 × 10−7
|
Si–Pb | 79,639 | 17.079 | 600 (327) | 1.3 × 10−9†
|
Si–Bi | 61,648 | 8.3531 | 544 (271) | 1.7 × 10−9
†
|
Si–Sb | 14,273 | –5.99 | 902.7 (629.7) | 3.2 × 10−3
|
Si–Ga | 14,844 | 4.75 | 302.8 (29.8) | 3 × 10−10
|
Si–In | 46,903 | 13.97 | 429.6 (156.6) | 2.5 × 10−10
|
Si–Pd | –73,424 | –28.385 | 1165 (892) | 0.52 |
Si–Ni | –89,383 | –36.856 | 1266 (993) | 0.591‡
|
Si–Mn | –12,344 | –64.86 | 1415 (1142) | 0.674 |
Si–Rh | –201,331 | –102.06 | 1333 (1060) | 0.686 |