CuZr2: enthalpy of formation
14 accepted literature formation-enthalpy value(s) (experimental 8, model 4, DFT 2); experimental median -16.796 kJ/mol-atom (n = 8); Materials Project -12.941 kJ/mol-atom (mp-aaaaaahl); OQMD -13.274 kJ/mol-atom (oqmd-1895393).
Systems: Cu–Zr
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -17.3 kJ/mol-atom | CuZr2-C11b | 298.15 | experimental | Cu–Zr | [1] Zhou 2010 cites Ansara 1982 | Table 2, p. 3, row 22 report | ||
| -17.3 kJ/mol-atom ± 0.84 | CuZr2 | 298.15 | experimental | Cu–Zr | [2] Turchanin 2008 cites Ansara 1982 doi | Table 3, p. 10, row 21 report | ||
| -17.3 kJ/mol-atom | CuZr2 | 298.15 | experimental | Cu–Zr | [3] Zeng 1994 cites Ansara 1982 doi | Table 1, p. 1, row 23 report | ||
| -16.992 kJ/mol-atom ± 0.357 | CuZr2 | 1123 | experimental | Cu–Zr | [2] Turchanin 2008 cites Zaitsev 2003 doi | Table 3, p. 10, row 23 report | ||
| -16.6 kJ/mol-atom | CuZr2 | 298.15 | experimental | Cu–Zr | [2] Turchanin 2008 cites Yamaguchi 2008 doi | Table 3, p. 10, row 24 report | ||
| -10.95 kJ/mol-atom ± 0.69 | CuZr2 | 298.15 | experimental | Cu–Zr | [2] Turchanin 2008 cites Kleppa 1982 doi | Table 3, p. 10, row 22 report | ||
| -10.95 kJ/mol-atom | CuZr2 | 298.15 | experimental | Cu–Zr | [3] Zeng 1994 cites Kleppa 1982 doi | Table 1, p. 1, row 22 report | ||
| -10.95 kJ/mol-atom | CuZr2-C11b | 298.15 | experimental | Cu–Zr | [1] Zhou 2010 cites Kleppa 1982 | Table 2, p. 3, row 23 report | ||
| -23.635 kJ/mol-atom | CuZr2 | 1123 | model | Cu–Zr | [2] Turchanin 2008 | Table 3, p. 10, row 25 report | ||
| -17.167 kJ/mol-atom | CuZr2 | model | Cu–Zr | [3] Zeng 1994 cites Saunders 1985 doi | Table 1, p. 1, row 19 report | |||
| -14.6347 kJ/mol-atom | CuZr2 | model | Cu–Zr | [3] Zeng 1994 | Table 1, p. 1, row 21 report | |||
| -12.7269 kJ/mol-atom | CuZr2 | model | Cu–Zr | [3] Zeng 1994 cites Luoma 1991 | Table 1, p. 1, row 20 report | |||
| -14.52 kJ/mol-atom | CuZr2-C11b | 0 | DFT | USPP-GGA | Cu–Zr | [1] Zhou 2010 cites Ghosh 2007 | Table 2, p. 3, row 21 report | |
| -13.84 kJ/mol-atom | CuZr2-C11b | 0 | DFT | PAW-GGA | Cu–Zr | [1] Zhou 2010 | Table 2, p. 3, row 20 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 |
|---|---|---|---|---|---|---|---|---|
| -17.3 | kJ/mol-atom | 0.05 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -17.3 | kJ/mol-atom | 0.84 | 5.000e-4 | 3.5 (unknown, calibrated) | 3.482 | 3.5 | ||
| -17.3 | kJ/mol-atom | 5.000e-4 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -16.992 | kJ/mol-atom | 0.357 | 4.292e-4 | 3.5 (unknown, calibrated) | 3.482 | 0.2805 | 3.511 | |
| -16.6 | kJ/mol-atom | 5.000e-4 | 3.5 (unknown, calibrated) | 3.482 | 3.5 | |||
| -10.95 | kJ/mol-atom | 0.69 | 5.000e-4 | 3.5 (unknown, calibrated) | 3.482 | 3.5 | ||
| -10.95 | kJ/mol-atom | 5.000e-4 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -10.95 | kJ/mol-atom | 0.005 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -23.635 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -17.167 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -14.6347 | kJ/mol-atom | 5.000e-6 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -12.7269 | kJ/mol-atom | 5.000e-6 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -14.52 | kJ/mol-atom | 0.005 | 8.395 (dft, calibrated) | 8.395 | ||||
| -13.84 | kJ/mol-atom | 0.005 | 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-aaaaaahl | -12.941 | -0.134122 | I4/mmm | -0 | -0 | no |
| OQMD | oqmd-1895393 | -13.274 | -0.137572 | P4mm | -0 | -0 | yes |
| OQMD | oqmd-19518 | -13.184 | -0.136642 | I4/mmm | 0.0897 | 9.000e-4 | 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
- S.H. Zhou, R.E. Napolitano, Phase stability for the Cu–Zr system: First-principles, experiments and solution-based modeling, Acta Materialia 58, 2186-2196 (2010). doi:10.1016/j.actamat.2009.12.004
- M. A. Turchanin, P. G. Agraval, A. R. Abdulov, Thermodynamic assessment of the Cu-Ti-Zr system. II. Cu-Zr and Ti-Zr systems, Powder Metall Met Ceram 47, 428-446 (2008). doi:10.1007/s11106-008-9039-x
- K. J. Zeng, M. Hämäläinen, H. L. Lukas, A new thermodynamic description of the Cu-Zr system, JPE 15, 577-586 (1994). doi:10.1007/bf02647618