Co23Zr6: enthalpy of formation

4 accepted literature formation-enthalpy value(s) (experimental 2, model 2); experimental median -29.8 kJ/mol-atom (n = 1); Materials Project -21.687 kJ/mol-atom (mp-aaaabtft); OQMD -13.87 kJ/mol-atom (oqmd-29538).

Systems: Co–Zr

Literature values

Enthalpy of formation of Co23Zr6 reported in the literature (4)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-29.8 kJ/mol-atom ± 1.5Co23Zr61596experimentalCo–Zr[1] Durga 2010
cites Gachon 1983 doi
Table 5, p. 5, row 7
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-29.8 per mol-atom ± 1500Co23Zr61596experimentalCo–Zr[2] Zhou 2021
cites Gachon 1983 doi
Table 3, p. 5, row 2
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-27.909 kJ/mol-atomCo23Zr61596modelCo–Zr[1] Durga 2010Table 5, p. 5, row 8
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-21.641 kJ/mol-atomCo23Zr6298.15modelCo–Zr[1] Durga 2010Table 5, p. 5, row 46
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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 Co23Zr6
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-29.8kJ/mol-atom1.55.000e-43.5 (unknown, calibrated)3.5
-29.8per mol-atom15005.000e-4unit 'per mol-atom' not convertible to kJ/mol-atom1500
-27.909kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-21.641kJ/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 Co23Zr6
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaabtft-21.687-0.22477Fm-3m00no
OQMDoqmd-29538-13.87-0.143752Fm-3m5.37150.0557no

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. A. Durga, K.C. Hari Kumar, Thermodynamic optimization of the Co–Zr system, Calphad 34, 200-205 (2010). doi:10.1016/j.calphad.2010.02.006
  2. Chenyang Zhou, Hang Wang, Thermodynamic Descriptions of the Co–Zr and Co–Fe–Zr Systems, J. Phase Equilib. Diffus. 42, 77-90 (2021). doi:10.1007/s11669-020-00859-5