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

Enthalpy of formation of ZrN reported in the literature (9)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-184.515 kJ/mol-atomZrN298.15experimentalN–Zr[1] Ma 2004
cites Galbraikh 1970
Table 2, p. 2, row 18
report
-184.515 kJ/mol-atomZrN298.15experimentalN–Zr[1] Ma 2004
cites Galbraikh 1970
Table 3, p. 3, row 9
report
-183.887 kJ/mol-atomZrN298.15experimentalN–Zr[1] Ma 2004
cites Smagina 1961
Table 2, p. 2, row 17
report
-183.887 kJ/mol-atomZrN298.15experimentalN–Zr[1] Ma 2004
cites Smagina 1961
Table 3, p. 3, row 8
report
-182.75 kJ/mol-atomZrN298.15experimentalN–Zr[1] Ma 2004
cites Brandes 1983
Table 2, p. 2, row 19
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-182.75 kJ/mol-atomZrN298.15experimentalN–Zr[1] Ma 2004
cites Brandes 1983
Table 3, p. 3, row 10
report
-203 kJ/mol-atomZrNmodelMiedemaN–Zr[1] Ma 2004
cites Fernandez 1992 doi
Table 3, p. 3, row 11
report
-208.299 kJ/mol-atomZrN0DFTDFT (GGA)N–Zr[1] Ma 2004Table 3, p. 3, row 2
report
-166.448 kJ/mol-atomZrN0DFTDFT (LDA)N–Zr[1] Ma 2004Table 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.

Uncertainty budget of the literature values of ZrN
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-184.515kJ/mol-atom0.00253.5 (unknown, calibrated)3.5
-184.515kJ/mol-atom0.00253.5 (unknown, calibrated)3.5
-183.887kJ/mol-atom2.500e-43.5 (unknown, calibrated)3.5
-183.887kJ/mol-atom2.500e-43.5 (unknown, calibrated)3.5
-182.75kJ/mol-atom0.0253.5 (unknown, calibrated)3.5
-182.75kJ/mol-atom0.0253.5 (unknown, calibrated)3.5
-203kJ/mol-atom0.253.9 (model_calculated, calibrated)3.9
-208.299kJ/mol-atom2.500e-49.966 (dft, calibrated)9.966
-166.448kJ/mol-atom2.500e-49.966 (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.

DFT formation energy of ZrN
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaacaa-179.476-1.86015Fm-3m00no
OQMDoqmd-2170562-172.271-1.78547C2/m00yes

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

  1. 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