Al3Ti: enthalpy of formation
6 accepted literature formation-enthalpy value(s) (model 4, DFT 2); Materials Project -38.428 kJ/mol-atom (mp-aaabexdj); OQMD -40.324 kJ/mol-atom (oqmd-2170264).
Systems: Al–Ti
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -38.895 kJ/mol-atom | TiAl3 | model | Al–Ti | [1] Liang 2024 | Table 2, p. 6, row 18 report | |||
| -36.905 kJ/mol-atom | TiAl3 | model | Al–Ti | [1] Liang 2024 cites Witusiewicz 2008 doi | Table 2, p. 6, row 17 report | |||
| -24.4297 kJ/mol-atom | TiAl3 | model | Al–Ti | [1] Liang 2024 | Table 2, p. 6, row 21 report | |||
| -14.0035 kJ/mol-atom | TiAl3 | model | Al–Ti | [1] Liang 2024 cites Witusiewicz 2008 doi | Table 2, p. 6, row 20 report | |||
| -38.895 kJ/mol-atom | TiAl3 | DFT | DFT | Al–Ti | [1] Liang 2024 cites Ghosh 2005 doi | Table 2, p. 6, row 16 report | ||
| -24.4297 kJ/mol-atom | TiAl3 | DFT | DFT | Al–Ti | [1] Liang 2024 cites Curtarolo 2012 doi | Table 2, p. 6, row 19 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 |
|---|---|---|---|---|---|---|---|---|
| -38.895 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -36.905 | kJ/mol-atom | 5.000e-7 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -24.4297 | kJ/mol-atom | 5.000e-6 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -14.0035 | kJ/mol-atom | 5.000e-7 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -38.895 | kJ/mol-atom | 5.000e-4 | 8.395 (dft, calibrated) | 8.395 | ||||
| -24.4297 | kJ/mol-atom | 5.000e-9 | 8.395 (dft, calibrated) | 8.395 |
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-aaabexdj | -38.428 | -0.398278 | I4/mmm | 0 | 0 | no |
| OQMD | oqmd-2170264 | -40.324 | -0.417931 | I4/mmm | 0 | 0 | yes |
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
- Zhi Liang, Ursula Kattner, Kamal Choudharry, Francesca Tavazza, Carelyn Campbell, Thermodynamic Assessments of Ti-Al, Ti-Fe, and Ti-Al-Fe Systems with Four-Sublattice Description of Ordered Body-Centered Cubic Phase and Density Functional Theory Data, J. Phase Equilib. Diffus. 45, 732-756 (2024). doi:10.1007/s11669-024-01124-9