ZrN: enthalpy of formation
9 accepted literature formation-enthalpy value(s) (experimental 6, model 1, DFT 2); experimental median -183.887 kJ/mol-atom (n = 6); Materials Project -179.476 kJ/mol-atom (mp-aaaaacaa); OQMD -172.271 kJ/mol-atom (oqmd-2170562).
Systems: N–Zr
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -184.515 kJ/mol-atom | ZrN | 298.15 | experimental | N–Zr | [1] Ma 2004 cites Galbraikh 1970 | Table 2, p. 2, row 18 report | ||
| -184.515 kJ/mol-atom | ZrN | 298.15 | experimental | N–Zr | [1] Ma 2004 cites Galbraikh 1970 | Table 3, p. 3, row 9 report | ||
| -183.887 kJ/mol-atom | ZrN | 298.15 | experimental | N–Zr | [1] Ma 2004 cites Smagina 1961 | Table 2, p. 2, row 17 report | ||
| -183.887 kJ/mol-atom | ZrN | 298.15 | experimental | N–Zr | [1] Ma 2004 cites Smagina 1961 | Table 3, p. 3, row 8 report | ||
| -182.75 kJ/mol-atom | ZrN | 298.15 | experimental | N–Zr | [1] Ma 2004 cites Brandes 1983 | Table 2, p. 2, row 19 report | ||
| -182.75 kJ/mol-atom | ZrN | 298.15 | experimental | N–Zr | [1] Ma 2004 cites Brandes 1983 | Table 3, p. 3, row 10 report | ||
| -203 kJ/mol-atom | ZrN | model | Miedema | N–Zr | [1] Ma 2004 cites Fernandez 1992 doi | Table 3, p. 3, row 11 report | ||
| -208.299 kJ/mol-atom | ZrN | 0 | DFT | DFT (GGA) | N–Zr | [1] Ma 2004 | Table 3, p. 3, row 2 report | |
| -166.448 kJ/mol-atom | ZrN | 0 | DFT | DFT (LDA) | N–Zr | [1] Ma 2004 | Table 3, p. 3, row 1 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 |
|---|---|---|---|---|---|---|---|---|
| -184.515 | kJ/mol-atom | 0.0025 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -184.515 | kJ/mol-atom | 0.0025 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -183.887 | kJ/mol-atom | 2.500e-4 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -183.887 | kJ/mol-atom | 2.500e-4 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -182.75 | kJ/mol-atom | 0.025 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -182.75 | kJ/mol-atom | 0.025 | 3.5 (unknown, calibrated) | 3.5 | ||||
| -203 | kJ/mol-atom | 0.25 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -208.299 | kJ/mol-atom | 2.500e-4 | 9.966 (dft, calibrated) | 9.966 | ||||
| -166.448 | kJ/mol-atom | 2.500e-4 | 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-aaaaacaa | -179.476 | -1.86015 | Fm-3m | 0 | 0 | no |
| OQMD | oqmd-2170562 | -172.271 | -1.78547 | C2/m | 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
- Xiaoyan Ma, Changrong Li, Kewu Bai, Ping Wu, Weijing Zhang, Thermodynamic assessment of the Zr–N system, Journal of Alloys and Compounds 373, 194-201 (2004). doi:10.1016/j.jallcom.2003.10.051