Zr3O: enthalpy of formation

2 accepted literature formation-enthalpy value(s) (model 2); Materials Project -149.095 kJ/mol-atom (mp-aaabfyna); OQMD -142.679 kJ/mol-atom (oqmd-5214).

Systems: O–Zr

Literature values

Enthalpy of formation of Zr3O reported in the literature (2)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-214 kJ/mol-atomZr3Omodelelectronegativity model, Eq. (28)O–Zr[1] Arroyave 2002Table 3, p. 18, row 9
report
-151 kJ/mol-atomZr3OmodelO–Zr[1] Arroyave 2002Table 3, p. 18, row 10
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 Zr3O
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-214kJ/mol-atom5.000e-53.9 (model_calculated, calibrated)3.9
-151kJ/mol-atom5.000e-53.9 (model_calculated, calibrated)3.9

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 Zr3O
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaabfyna-149.095-1.54526R3200no
OQMDoqmd-5214-142.679-1.47877R-3c00no

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. Raymundo Arroyave, Larry Kaufman, Thomas W. Eagar, Thermodynamic modeling of the ZrO system, Calphad 26, 95-118 (2002). doi:10.1016/s0364-5916(02)00027-5