Ba2Pb: enthalpy of formation

4 accepted literature formation-enthalpy value(s) (experimental 2, model 2); experimental median -81.5 kJ/mol-atom (n = 2); Materials Project -52.226 kJ/mol-atom (mp-aaaabfle); OQMD -52.132 kJ/mol-atom (oqmd-10855).

Systems: Ba–Pb

Literature values

Enthalpy of formation of Ba2Pb reported in the literature (4)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-96 kJ/mol-atom ± 12Ba0.6667Pb0.3333300experimentalBa–Pb[1] Idbenali 2007
cites Kubaschewski 1949
Table 5, p. 9, row 4
report
-67 kJ/mol-atom ± 2Ba0.6667Pb0.3333300experimentalBa–Pb[1] Idbenali 2007
cites Conclusion
Table 5, p. 9, row 2
report
-67.814 kJ/mol-atomBa0.6667Pb0.3333300modelBa–Pb[1] Idbenali 2007Table 5, p. 9, row 3
report
-64.24 kJ/mol-atomBa0.6667Pb0.3333300modelBa–Pb[1] Idbenali 2007Table 5, p. 9, 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 Ba2Pb
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-96kJ/mol-atom125.000e-43.5 (unknown, calibrated)12
-67kJ/mol-atom25.000e-43.5 (unknown, calibrated)3.5
-67.814kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-64.24kJ/mol-atom5.000e-43.9 (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 Ba2Pb
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaabfle-52.226-0.541282Pnma00no
OQMDoqmd-10855-52.132-0.540314Pnma00no

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. M. Idbenali, C. Servant, N. Selhaoui, L. Bouirden, A thermodynamic modelling of the Ba–Pb system, Calphad 31, 479-489 (2007). doi:10.1016/j.calphad.2007.04.003