FeTi: enthalpy of formation
50 accepted literature formation-enthalpy value(s) (experimental 14, model 28, DFT 4, unspecified 4); experimental median -27.805 kJ/mol-atom (n = 10); Materials Project -40.604 kJ/mol-atom (mp-aaaaaalt); OQMD -43.34 kJ/mol-atom (oqmd-19423).
Systems: Fe–Ti
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -31.1 kJ/mol-atom ± 1.3 | FeTi | 1450 | experimental | Fe–Ti | [1] Jonsson 1998 cites Gachon 1981 doi | Table I, p. 2, row 3 report | ||
| -31.1 kJ/mol-atom ± 1.3 | FeTi | 1450 | experimental | Fe–Ti | [2] Dumitrescu 1998 cites Gachon 1981 doi | Table 3, p. 4, row 8 report | ||
| -31 kJ/mol-atom | FeTi | 1440 | experimental | Fe–Ti | [3] Santhy 2021 cites Gachon 1983 | Table 8, p. 8, row 17 report | ||
| -31 kJ/mol (basis unstated) | FeTi | 1450.15 | experimental | Fe–Ti | [4] Wang 2011 cites Gachon 1983 doi | Table 4, p. 6, row 4 report | ||
| -29.59 kJ/mol-atom | FeTi | 973 | experimental | Fe–Ti | [3] Santhy 2021 cites Dinsdale 1985 | Table 8, p. 8, row 15 report | ||
| -29.588 kJ/mol (basis unstated) | FeTi | 973.15 | experimental | Fe–Ti | [4] Wang 2011 cites Dinsdale 1985 | Table 4, p. 6, row 6 report | ||
| -27.81 kJ/mol-atom | FeTi | 1513 | experimental | Fe–Ti | [3] Santhy 2021 cites Dinsdale 1985 | Table 8, p. 8, row 19 report | ||
| -27.807 kJ/mol (basis unstated) | FeTi | 1513.15 | experimental | Fe–Ti | [4] Wang 2011 cites Dinsdale 1985 | Table 4, p. 6, row 8 report | ||
| -27.8 kJ/mol-atom ± 4 | FeTi | 1513 | experimental | Fe–Ti | [1] Jonsson 1998 cites Dinsdale 1981 | Table I, p. 2, row 5 report | ||
| -27.8 kJ/mol-atom ± 4 | FeTi | 1513 | experimental | Fe–Ti | [2] Dumitrescu 1998 cites Dinsdale 1985 | Table 3, p. 4, row 15 report | ||
| -20.3 kJ/mol-atom ± 0.6 | FeTi | 298.15 | experimental | Fe–Ti | [1] Jonsson 1998 cites Kubaschewski 1955 doi | Table I, p. 2, row 1 report | ||
| -20.3 kJ/mol-atom ± 0.6 | FeTi | 298.15 | experimental | Fe–Ti | [2] Dumitrescu 1998 cites Kubaschewski 1957 | Table 3, p. 4, row 1 report | ||
| -20.292 kJ/mol (basis unstated) | FeTi | 298.15 | experimental | Fe–Ti | [4] Wang 2011 cites Kubaschewski 1955 doi | Table 4, p. 6, row 2 report | ||
| -20.29 kJ/mol-atom | FeTi | 298.15 | experimental | Fe–Ti | [3] Santhy 2021 cites Dench 1955 | Table 8, p. 8, row 13 report | ||
| -50.17 kJ/mol-atom | FeTi | 0 | model | FLASTO | Fe–Ti | [3] Santhy 2021 cites Watson 1998 doi | Table 8, p. 8, row 23 report | |
| -44.58 kJ/mol-atom | FeTi | 0 | model | FP method | Fe–Ti | [3] Santhy 2021 | Table 8, p. 8, row 20 report | |
| -32.19 kJ/mol-atom | FeTi | 1440 | model | Fe–Ti | [3] Santhy 2021 | Table 8, p. 8, row 16 report | ||
| -32.1 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [3] Santhy 2021 | Table 8, p. 8, row 18 report | ||
| -31.7 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [1] Jonsson 1998 | Table I, p. 2, row 4 report | ||
| -31.691 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [2] Dumitrescu 1998 cites Jonsson 1998 | Table 3, p. 4, row 13 report | ||
| -31.639 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [2] Dumitrescu 1998 cites Jonsson 1998 | Table 3, p. 4, row 20 report | ||
| -31.6 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [1] Jonsson 1998 | Table I, p. 2, row 6 report | ||
| -29.868 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [2] Dumitrescu 1998 | Table 3, p. 4, row 14 report | ||
| -29.816 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [2] Dumitrescu 1998 | Table 3, p. 4, row 21 report | ||
| -28 kJ/mol-atom | FeTi | 0 | model | Miedema | Fe–Ti | [3] Santhy 2021 cites Miedema 1981 | Table 8, p. 8, row 21 report | |
| -27.67 kJ/mol-atom | FeTi | 973 | model | Fe–Ti | [3] Santhy 2021 | Table 8, p. 8, row 14 report | ||
| -27.51 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [2] Dumitrescu 1998 cites Haft 1994 | Table 3, p. 4, row 12 report | ||
| -27.297 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [2] Dumitrescu 1998 cites Haft 1994 | Table 3, p. 4, row 19 report | ||
| -25.692 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [2] Dumitrescu 1998 cites Rand 1998 | Table 3, p. 4, row 11 report | ||
| -25.639 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [2] Dumitrescu 1998 cites Rand 1998 | Table 3, p. 4, row 18 report | ||
| -24.58 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [3] Santhy 2021 | Table 8, p. 8, row 12 report | ||
| -24.486 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [2] Dumitrescu 1998 cites Balasubramanian 1989 | Table 3, p. 4, row 10 report | ||
| -24.4 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [1] Jonsson 1998 | Table I, p. 2, row 2 report | ||
| -24.399 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [2] Dumitrescu 1998 cites Jonsson 1998 | Table 3, p. 4, row 6 report | ||
| -24.272 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [2] Dumitrescu 1998 cites Balasubramanian 1989 | Table 3, p. 4, row 17 report | ||
| -22.576 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [2] Dumitrescu 1998 | Table 3, p. 4, row 7 report | ||
| -22.25 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [2] Dumitrescu 1998 cites Haft 1994 | Table 3, p. 4, row 5 report | ||
| -19.225 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [2] Dumitrescu 1998 cites Balasubramanian 1989 | Table 3, p. 4, row 3 report | ||
| -18.39 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [2] Dumitrescu 1998 cites Rand 1998 | Table 3, p. 4, row 4 report | ||
| -16.824 kJ/mol-atom | FeTi | 298.15 | model | Fe–Ti | [2] Dumitrescu 1998 cites Murray 1987 | Table 3, p. 4, row 2 report | ||
| 12.055 kJ/mol-atom | FeTi | 1450 | model | Fe–Ti | [2] Dumitrescu 1998 cites Murray 1987 | Table 3, p. 4, row 9 report | ||
| 16.375 kJ/mol-atom | FeTi | 1513 | model | Fe–Ti | [2] Dumitrescu 1998 cites Murray 1987 | Table 3, p. 4, row 16 report | ||
| -46.5 kJ/mol-atom | FeTi | 0 | DFT | FP-LAPW | Fe–Ti | [3] Santhy 2021 cites Ohtani 2004 doi | Table 8, p. 8, row 22 report | |
| -44.58 kJ/mol-atom | FeTi | 0 | DFT | first-principles | Fe–Ti | [3] Santhy 2021 | Table 5, p. 3, row 16 report | |
| 74.45 kJ/mol-atom | FeTi | 0 | DFT | first-principles | Fe–Ti | [3] Santhy 2021 | Table 5, p. 3, row 18 report | |
| 95 kJ/mol-atom | FeTi | 0 | DFT | first-principles | Fe–Ti | [3] Santhy 2021 | Table 5, p. 3, row 17 report | |
| -28.4 kJ/mol (basis unstated) | FeTi | 1450.15 | unspecified | Fe–Ti | [4] Wang 2011 | Table 4, p. 6, row 3 report | ||
| -28.3 kJ/mol (basis unstated) | FeTi | 1513.15 | unspecified | Fe–Ti | [4] Wang 2011 | Table 4, p. 6, row 7 report | ||
| -25.6 kJ/mol (basis unstated) | FeTi | 973.15 | unspecified | Fe–Ti | [4] Wang 2011 | Table 4, p. 6, row 5 report | ||
| -23.6 kJ/mol (basis unstated) | FeTi | 298.15 | unspecified | Fe–Ti | [4] Wang 2011 | Table 4, p. 6, row 1 report |
Uncertainty budget
Components kept separate, in the value's unit (literature SCHEMA.md, UNCERTAINTY_CALIBRATION.md): effective = max(sqrt(max(printed, reading, method)^2 + composition^2 + conversion^2), scatter). The method floor is the robust between-study scatter of the method class in ORCHID (calibrated) or a documented prior; printed values and printed uncertainties are unchanged.
| Value | Unit | Printed | Reading | Method (class, basis) | Composition | Scatter | Conversion | Effective |
|---|---|---|---|---|---|---|---|---|
| -31.1 | kJ/mol-atom | 1.3 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -31.1 | kJ/mol-atom | 1.3 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -31 | kJ/mol-atom | 0.5 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -31 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -29.59 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -29.588 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -27.81 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -27.807 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -27.8 | kJ/mol-atom | 4 | 0.05 | 3.5 (unknown, calibrated) | 4 | |||
| -27.8 | kJ/mol-atom | 4 | 0.05 | 3.5 (unknown, calibrated) | 4 | |||
| -20.3 | kJ/mol-atom | 0.6 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -20.3 | kJ/mol-atom | 0.6 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -20.292 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -20.29 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -50.17 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -44.58 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -32.19 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -32.1 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.7 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.691 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.639 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.6 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -29.868 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -29.816 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -28 | kJ/mol-atom | 0.5 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -27.67 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -27.51 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -27.297 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -25.692 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -25.639 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -24.58 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -24.486 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -24.4 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -24.399 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -24.272 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -22.576 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -22.25 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -19.225 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -18.39 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -16.824 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| 12.055 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| 16.375 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -46.5 | kJ/mol-atom | 0.05 | 3.929 (dft, calibrated) | 3.929 | ||||
| -44.58 | kJ/mol-atom | 0.005 | 3.929 (dft, calibrated) | 3.929 | ||||
| 74.45 | kJ/mol-atom | 0.005 | 3.929 (dft, calibrated) | 3.929 | ||||
| 95 | kJ/mol-atom | 0.05 | 3.929 (dft, calibrated) | 3.929 | ||||
| -28.4 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -28.3 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -25.6 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -23.6 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 |
DFT formation energies
Lowest-energy entries at this composition. Materials Project and OQMD use different energy references and are never averaged. 1 eV/atom = 96.485 kJ/mol-atom.
| Source | Entry | kJ/mol-atom | eV/atom | Space group | E above hull (kJ/mol-atom) | E above hull (eV/atom) | Theoretical |
|---|---|---|---|---|---|---|---|
| Materials Project | mp-aaaaaalt | -40.604 | -0.42083 | Pm-3m | 0 | 0 | no |
| OQMD | oqmd-19423 | -43.34 | -0.449193 | Pm-3m | 0.1275 | 0.0013 | no |
DFT sources: A. Jain et al., Commentary: The Materials Project: A materials genome approach to accelerating materials innovation, APL Materials 1 (2013) 011002. doi:10.1063/1.4812323 (CC BY 4.0); J. E. Saal et al., JOM 65 (2013) 1501-1509; S. Kirklin et al., npj Comput. Mater. 1 (2015) 15010. doi:10.1007/s11837-013-0755-4 (CC BY 4.0);
Sources
- Stefan Jonsson, Assessment of the Fe-Ti system, Metall Mater Trans B 29, 361-370 (1998). doi:10.1007/s11663-998-0113-z
- L. F. S. Dumitrescu, M. Hillert, N. Sounders, Comparison of Fe-Ti assessments, JPE 19, 441-448 (1998). doi:10.1361/105497198770341923
- K. Santhy, K.C. Hari Kumar, Thermodynamic modelling of magnetic laves phase in Fe–Ti system using first principle method, Intermetallics 128, 106978 (2021). doi:10.1016/j.intermet.2020.106978
- C.P. Wang, J.P. Zheng, Y. Yu, H.F. Hu, X.J. Liu, Experimental investigation and thermodynamic calculation of the phase equilibria in the Fe–Nb–Ti ternary system, Materials Chemistry and Physics 130, 806-814 (2011). doi:10.1016/j.matchemphys.2011.07.071