Table 3 Optimized CALPHAD parameters and their (Bayesian) standard deviations of the binaries, ternaries, and quaternary.
Ti-Al | Cr-Al | ||
|---|---|---|---|
Liquid | −44826.774 (±5940.548) − 9.705 (±3.425) × T | Liquid | −16280.734 (±2547.996) − 1.255 (±0.00581) × T |
|  | 19984.519 (±6532.623) − 3.768 (±4.379) × T | Bcc | −31542.024 (±4864.770) + 3.55 (±2.942) × T |
Fcc | GHSERAL |  | 21170.075 (±11420.795) − 10.532 (±7.273) × T |
Al3Ti | −161609.797 (±2728.262) + 34.147 (±1.876) × T | Fcc | 36281.545 (±2922.821) − 39.185 (±2.156) × T |
Al2Ti | −130310.371 (±2455.017) + 27.823 (±1.767) × T | AlCr2 | −22220.569 (±3867.136) − 10.415 (±2.592) × T |
AlTi | −777301.828 (±10896.578) + 100.0 (±7.655) × T | Al4Cr | −33435.227 (±3432.087) − 11.231 (±2.627) × T |
AlTi3 | −256328.239 (±9668.292) + 14.891 (±6.253) × T | Al8 \({{\rm{Cr}}}_{5}^{L}\) | −34476.155 (±24897.260) − 99.999 (±14.365) × T |
Hcp | −85725.167 (±1232.210) + 0.149 (±0.236) × T | Al8 \({{\rm{Cr}}}_{5}^{H}\) | −80955.010 (±15349.512) − 67.728 (±11.668) × T |
|  | −3664.848 (±4092.983) + 4.421 (±2.452) × T | Al9 \({{\rm{Cr}}}_{4}^{L}\) | −21193.384 (±20765.556) − 99.984 (±14.385) × T |
−18016.218 (±7117.0) + 27.146 (±4.157) × T | Al9 \({{\rm{Cr}}}_{4}^{H}\) | −83347.404 (±13272.196) − 52.337 (±9.686) × T | |
Bcc | −77446.353 (±2772.679) − 1.560 (±1.607) × T | Al11Cr2 | −89989.489 (±6663.153) − 12.427 (±5.063) × T |
|  | −5001.401 (±4993.332) + 4.004 (±3.061) × T | Al13Cr2 | −108076.0 (±5847.849) + 2.893 (±3.921) × T |
23443.277 (±8667.487) − 5.158 (±4.838) × T |  |  | |
Al11Ti5 | −617287.480 (±17072.163) + 100.0 (±11.203) × T | ||
Ti-C | Ti-Cr | ||
Liquid | −29519.275 (±13942.121) − 70.379 (±5.40) × T | Liquid | 25474.148 (±7201.615) − 19.291 (±4.464) × T |
Bcc | GBCCTI |  | 9474.205 (±7013.502) − 4.579 (±4.299) × T |
Hcp | GHSERTI | Bcc | −3127.928 (±1738.686) + 5.743 (±1.636) × T |
TiC | −1410506.470 (±55337.817) − 37.795 (±21.571) × T |  | 5016.857 (±1187.926) − 3.643 (±1.107) × T |
Graphite | GHSERCC | 1294.061 (±1386.114) − 3.673 (±1.004) × T | |
|  |  | TiCr2 | −37098.412 (±900.327) + 8.455 (±0.790) × T |
Hcp | 23631.773 (±1522.291) − 4.893 (±2.040) × T | ||
Cr-C | Al-C | ||
Liquid | −127800.114 (±682.547) + 0.0 (±0.0571) × T | Liquid | 109830.637 (±5334.934) − 59.436 (±2.461) × T |
Bcc | GHSERCR | Fcc | GHSERAL |
Cr23C6 | −229313.680 (±9578.358) − 54.894 (±5.772) × T | Al4C3 | −22342.766 (±13822.148) − 24.358 (±6.117) × T |
Cr7C3 | −60777.111 (±4392.626) − 48.386 (±2.355) × T | Graphite | GHSERCC |
Cr3C2 | −24866.751 (±2832.234) − 24.788 (±1.457) × T |  |  |
Cr-Al-C | Ti-Al-C | ||
Cr2AlC | −73776.041 (±50610.801) + 13.877 (±23.171) × T | Ti2AlC | −274945.380 (±337844.323) + 23.478 (±40.730) × T |
|  |  | Ti3AlC | −286333.291 (±353070.956) + 14.647 (±25.321) × T |
Ti4AlC3 | −286333.291 + 14.647 × T | ||
Ti-Cr-Al-C | |||
(Ti1/3Cr2/3)3AlC2 | −286333.291 + 14.647 × T | (Ti1/2Cr1/2)2AlC | −286333.291 + 14.647 × T |
