Fe2Ti: enthalpy of formation
39 accepted literature formation-enthalpy value(s) (experimental 10, model 20, DFT 6, unspecified 3); experimental median -25.4 kJ/mol-atom (n = 7); Materials Project -27.342 kJ/mol-atom (mp-aaaaadqk); OQMD -29.56 kJ/mol-atom (oqmd-1590944).
Systems: Fe–Ti
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -27.6 kJ/mol-atom | Fe2Ti | 1514 | experimental | Fe–Ti | [1] Santhy 2021 cites Gachon 1983 | Table 8, p. 8, row 9 report | ||
| -27.6 kJ/mol-atom ± 1 | Fe2Ti | 1514 | experimental | Fe–Ti | [2] Jonsson 1998 cites Gachon 1981 doi | Table I, p. 2, row 7 report | ||
| -27.6 kJ/mol (basis unstated) | Fe2Ti | 1514.15 | experimental | Fe–Ti | [3] Wang 2011 cites Gachon 1983 doi | Table 4, p. 6, row 10 report | ||
| -27.6 kJ/mol-atom ± 1 | Fe2Ti | 1514 | experimental | Fe–Ti | [4] Dumitrescu 1998 cites Gachon 1981 doi | Table 3, p. 4, row 22 report | ||
| -25.4 kJ/mol-atom ± 2 | Fe2Ti | 1413 | experimental | Fe–Ti | [2] Jonsson 1998 cites Dinsdale 1981 | Table I, p. 2, row 9 report | ||
| -25.4 kJ/mol-atom ± 2 | Fe2Ti | 1413 | experimental | Fe–Ti | [4] Dumitrescu 1998 cites Dinsdale 1985 | Table 3, p. 4, row 27 report | ||
| -25.394 kJ/mol (basis unstated) | Fe2Ti | 1413.15 | experimental | Fe–Ti | [3] Wang 2011 cites Dinsdale 1985 | Table 4, p. 6, row 14 report | ||
| -25.39 kJ/mol-atom | Fe2Ti | 1413 | experimental | Fe–Ti | [1] Santhy 2021 cites Dinsdale 1985 | Table 8, p. 8, row 6 report | ||
| -21.294 kJ/mol (basis unstated) | Fe2Ti | 973.15 | experimental | Fe–Ti | [3] Wang 2011 cites Dinsdale 1985 | Table 4, p. 6, row 12 report | ||
| -21.29 kJ/mol-atom | Fe2Ti | 973 | experimental | Fe–Ti | [1] Santhy 2021 cites Dinsdale 1985 | Table 8, p. 8, row 3 report | ||
| -34.52 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [4] Dumitrescu 1998 cites Haft 1994 | Table 3, p. 4, row 31 report | ||
| -34.168 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [4] Dumitrescu 1998 cites Balasubramanian 1989 | Table 3, p. 4, row 29 report | ||
| -33.93 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [4] Dumitrescu 1998 cites Jonsson 1998 | Table 3, p. 4, row 32 report | ||
| -33.9 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [2] Jonsson 1998 | Table I, p. 2, row 10 report | ||
| -31.84 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [4] Dumitrescu 1998 cites Rand 1998 | Table 3, p. 4, row 30 report | ||
| -31.815 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [4] Dumitrescu 1998 cites Haft 1994 | Table 3, p. 4, row 24 report | ||
| -31.513 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [4] Dumitrescu 1998 cites Jonsson 1998 | Table 3, p. 4, row 25 report | ||
| -31.5 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [2] Jonsson 1998 | Table I, p. 2, row 8 report | ||
| -30.13 kJ/mol-atom | Fe2Ti | 0 | model | FP method | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 10 report | |
| -29.752 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [4] Dumitrescu 1998 cites Rand 1998 | Table 3, p. 4, row 23 report | ||
| -29.273 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [4] Dumitrescu 1998 | Table 3, p. 4, row 33 report | ||
| -29.11 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 7 report | ||
| -28.42 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 4 report | ||
| -26.863 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [4] Dumitrescu 1998 | Table 3, p. 4, row 26 report | ||
| -26.13 kJ/mol-atom | Fe2Ti | 1514 | model | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 8 report | ||
| -26.01 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 5 report | ||
| -25 kJ/mol-atom | Fe2Ti | 0 | model | Miedema | Fe–Ti | [1] Santhy 2021 cites Miedema 1981 | Table 8, p. 8, row 11 report | |
| -22.4 kJ/mol-atom | Fe2Ti | 973 | model | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 1 report | ||
| -21.26 kJ/mol-atom | Fe2Ti | 973 | model | Fe–Ti | [1] Santhy 2021 | Table 8, p. 8, row 2 report | ||
| 7.179 kJ/mol-atom | Fe2Ti | 1413 | model | Fe–Ti | [4] Dumitrescu 1998 cites Murray 1987 | Table 3, p. 4, row 28 report | ||
| -30.131 kJ/mol-atom | Fe₂Ti | 0 | DFT | first-principles | Fe–Ti | [1] Santhy 2021 | Table 5, p. 3, row 10 report | |
| -29.817 kJ/mol-atom | Fe₂Ti | 0 | DFT | first-principles | Fe–Ti | [1] Santhy 2021 | Table 5, p. 3, row 11 report | |
| -27.134 kJ/mol-atom | Fe₂Ti | 0 | DFT | first-principles | Fe–Ti | [1] Santhy 2021 | Table 5, p. 3, row 12 report | |
| -23.678 kJ/mol-atom | Fe₂Ti | 0 | DFT | first-principles | Fe–Ti | [1] Santhy 2021 | Table 5, p. 3, row 15 report | |
| 26.931 kJ/mol-atom | Fe₂Ti | 0 | DFT | first-principles | Fe–Ti | [1] Santhy 2021 | Table 5, p. 3, row 13 report | |
| 37.039 kJ/mol-atom | Fe₂Ti | 0 | DFT | first-principles | Fe–Ti | [1] Santhy 2021 | Table 5, p. 3, row 14 report | |
| -34.3 kJ/mol (basis unstated) | Fe2Ti | 1413.15 | unspecified | Fe–Ti | [3] Wang 2011 | Table 4, p. 6, row 13 report | ||
| -31.6 kJ/mol (basis unstated) | Fe2Ti | 1514.15 | unspecified | Fe–Ti | [3] Wang 2011 | Table 4, p. 6, row 9 report | ||
| -30.8 kJ/mol (basis unstated) | Fe2Ti | 973.15 | unspecified | Fe–Ti | [3] Wang 2011 | Table 4, p. 6, row 11 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 |
|---|---|---|---|---|---|---|---|---|
| -27.6 | kJ/mol-atom | 0.05 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -27.6 | kJ/mol-atom | 1 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -27.6 | kJ/mol (basis unstated) | 5.000e-4 | 10.5 (unknown, calibrated) | 10.5 | ||||
| -27.6 | kJ/mol-atom | 1 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -25.4 | kJ/mol-atom | 2 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -25.4 | kJ/mol-atom | 2 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -25.394 | kJ/mol (basis unstated) | 5.000e-4 | 10.5 (unknown, calibrated) | 10.5 | ||||
| -25.39 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -21.294 | kJ/mol (basis unstated) | 5.000e-4 | 10.5 (unknown, calibrated) | 10.5 | ||||
| -21.29 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -34.52 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -34.168 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -33.93 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -33.9 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.84 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.815 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.513 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.5 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -30.13 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -29.752 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -29.273 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -29.11 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -28.42 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -26.863 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -26.13 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -26.01 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -25 | kJ/mol-atom | 0.5 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -22.4 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -21.26 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| 7.179 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -30.131 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -29.817 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -27.134 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -23.678 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| 26.931 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| 37.039 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -34.3 | kJ/mol (basis unstated) | 5.000e-4 | 10.5 (unknown, calibrated) | 10.5 | ||||
| -31.6 | kJ/mol (basis unstated) | 5.000e-4 | 10.5 (unknown, calibrated) | 10.5 | ||||
| -30.8 | kJ/mol (basis unstated) | 5.000e-4 | 10.5 (unknown, calibrated) | 10.5 |
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-aaaaadqk | -27.342 | -0.283385 | P6_3/mmc | 0 | 0 | no |
| OQMD | oqmd-1590944 | -29.56 | -0.306365 | Fd-3m | 0 | 0 | yes |
| OQMD | oqmd-18688 | -28.736 | -0.297833 | P63/mmc | 0.8232 | 0.0085 | 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
- 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
- Stefan Jonsson, Assessment of the Fe-Ti system, Metall Mater Trans B 29, 361-370 (1998). doi:10.1007/s11663-998-0113-z
- 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
- L. F. S. Dumitrescu, M. Hillert, N. Sounders, Comparison of Fe-Ti assessments, JPE 19, 441-448 (1998). doi:10.1361/105497198770341923