TiB: enthalpy of formation
11 accepted literature formation-enthalpy value(s) (experimental 1, model 3, DFT 7); Materials Project -80.281 kJ/mol-atom (mp-aaaaalqf); OQMD -82.177 kJ/mol-atom (oqmd-28621).
Systems: B–Ti
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -160.247 kJ/mol (basis unstated) | TiB | 298.15 | experimental | B–Ti | [1] Ma 2004 cites Schissel 1962 doi | Table 3, p. 4, row 5 report | ||
| -82.5 kJ/mol-atom | TiB | model | B–Ti | [2] Nakama 2009 cites Witusiewicz 2008 doi | Table 4, p. 7, row 29 report | |||
| -82.5 kJ/mol (basis unstated) | TiB | model | B–Ti | [2] Nakama 2009 cites Witusiewicz 2008 doi | Table 3, p. 6, row 2 report | |||
| -69.3 kJ/mol-atom | TiB | model | B–Ti | [2] Nakama 2009 cites Witusiewicz 2008 doi | Table 4, p. 7, row 22 report | |||
| -83 kJ/mol (basis unstated) | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 3, p. 6, row 1 report | |
| -83 kJ/mol-atom | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 4, p. 7, row 28 report | |
| -82.9 kJ/mol-atom | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 4, p. 7, row 26 report | |
| -82.7 kJ/mol-atom | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 4, p. 7, row 25 report | |
| -82 kJ/mol-atom | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 4, p. 7, row 24 report | |
| -80.1 kJ/mol-atom | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 4, p. 7, row 23 report | |
| -78.7 kJ/mol-atom | TiB | 0 | DFT | First principles | B–Ti | [2] Nakama 2009 | Table 4, p. 7, row 21 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 |
|---|---|---|---|---|---|---|---|---|
| -160.247 | kJ/mol (basis unstated) | 5.000e-4 | 7 (unknown, calibrated) | 7 | ||||
| -82.5 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -82.5 | kJ/mol (basis unstated) | 0.05 | 7.8 (model_calculated, calibrated) | 7.8 | ||||
| -69.3 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -83 | kJ/mol (basis unstated) | 0.05 | 19.93 (dft, calibrated) | 19.93 | ||||
| -83 | kJ/mol-atom | 0.05 | 9.966 (dft, calibrated) | 9.966 | ||||
| -82.9 | kJ/mol-atom | 0.05 | 9.966 (dft, calibrated) | 9.966 | ||||
| -82.7 | kJ/mol-atom | 0.05 | 9.966 (dft, calibrated) | 9.966 | ||||
| -82 | kJ/mol-atom | 0.05 | 9.966 (dft, calibrated) | 9.966 | ||||
| -80.1 | kJ/mol-atom | 0.05 | 9.966 (dft, calibrated) | 9.966 | ||||
| -78.7 | kJ/mol-atom | 0.05 | 9.966 (dft, calibrated) | 9.966 |
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-aaaaalqf | -80.281 | -0.832055 | Pnma | 0 | 0 | no |
| OQMD | oqmd-28621 | -82.177 | -0.851705 | Pnma | 0 | 0 | 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
- Xiaoyan Ma, Changrong Li, Zhenmin Du, Weijing Zhang, Thermodynamic assessment of the Ti–B system, Journal of Alloys and Compounds 370, 149-158 (2004). doi:10.1016/j.jallcom.2003.09.017
- Yu Nakama, Hiroshi Ohtani, Mitsuhiro Hasebe, Thermodynamic Analysis of the Nb–Ti–B Ternary Phase Diagram, Mater. Trans. 50, 984-993 (2009). doi:10.2320/matertrans.mc200820