Al2Hf3: enthalpy of formation

3 accepted literature formation-enthalpy value(s) (model 3); Materials Project -31.894 kJ/mol-atom (mp-aaaaamnm); OQMD -31.931 kJ/mol-atom (oqmd-11338).

Systems: Al–Hf

Literature values

Enthalpy of formation of Al2Hf3 reported in the literature (3)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-48.9 kJ/mol-atomHf3Al2modelAl–Hf[1] Wang 2002Table 2, p. 3, row 6
report
-45 kJ/mol-atomHf3Al2modelAl–Hf[1] Wang 2002Table 2, p. 3, row 5
report
-43.5 kJ/mol-atomHf3Al2modelAl–Hf[1] Wang 2002
cites ref. 1975Kao
Table 2, p. 3, row 4
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 Al2Hf3
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-48.9kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-45kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-43.5kJ/mol-atom0.053.9 (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 Al2Hf3
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaamnm-31.894-0.330563P4_2/mnm3.57270.037no
OQMDoqmd-11338-31.931-0.330947P42/mnm3.43270.0356no

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. Tao Wang, Zhanpeng Jin, Ji-Cheng Zhao, Thermodynamic assessment of the Al-Hf binary system, JPE 23, 416-423 (2002). doi:10.1361/105497102770331361