Mn2Ti: enthalpy of formation
6 accepted literature formation-enthalpy value(s) (experimental 1, model 2, DFT 3); experimental median -28.92 kJ/mol-atom (n = 1); Materials Project -26.259 kJ/mol-atom (mp-aaaaacwz); OQMD -27.684 kJ/mol-atom (oqmd-17696).
Systems: Mn–Ti
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -28.92 kJ/mol-atom | C14 Laves TiMn2 | 298.15 | experimental | Mn–Ti | [1] Zheng 2022 cites Chen 2003 doi | Table 4, p. 6, row 4 report | ||
| -26.714 kJ/mol-atom | C14 Laves TiMn2 | 298.15 | model | CALPHAD | Mn–Ti | [1] Zheng 2022 cites Khan 2016 doi | Table 4, p. 6, row 6 report | |
| -26.714 kJ/mol-atom | C14 Laves TiMn2 | 298.15 | model | CALPHAD | Mn–Ti | [1] Zheng 2022 | Table 4, p. 6, row 5 report | |
| -28.4 kJ/mol-atom | C14 Laves TiMn2 | 0 | DFT | ab initio | Mn–Ti | [1] Zheng 2022 cites Chen 2005 | Table 4, p. 6, row 3 report | |
| -27.22 kJ/mol-atom | C14 Laves TiMn2 | 0 | DFT | ab initio | Mn–Ti | [1] Zheng 2022 | Table 4, p. 6, row 1 report | |
| -26.714 kJ/mol-atom | C14 Laves TiMn2 | 0 | DFT | ab initio | Mn–Ti | [1] Zheng 2022 cites Khan 2016 doi | Table 4, p. 6, row 2 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 |
|---|---|---|---|---|---|---|---|---|
| -28.92 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -26.714 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -26.714 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -28.4 | kJ/mol-atom | 0.05 | 3.929 (dft, calibrated) | 3.929 | ||||
| -27.22 | kJ/mol-atom | 0.005 | 3.929 (dft, calibrated) | 3.929 | ||||
| -26.714 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 |
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-aaaaacwz | -26.259 | -0.272158 | P6_3/mmc | 0 | 0 | no |
| OQMD | oqmd-17696 | -27.684 | -0.286924 | P63/mmc | 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
- Weisen Zheng, Wei Song, Tong Wu, Jingya Wang, Yanlin He, Xiao-Gang Lu, Experimental investigation and thermodynamic modeling of the ternary Ti–Fe–Mn system for hydrogen storage applications, Journal of Alloys and Compounds 891, 161957 (2022). doi:10.1016/j.jallcom.2021.161957