Pb3Yb: enthalpy of formation

5 accepted literature formation-enthalpy value(s) (experimental 4, model 1); experimental median -38.3 kJ/mol-atom (n = 4); OQMD -35.07 kJ/mol-atom (oqmd-17937).

Systems: Pb–Yb

Literature values

Enthalpy of formation of Pb3Yb reported in the literature (5)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-39 kJ/mol-atom ± 1Pb3Yb298.15experimentalDirect calorimeterPb–Yb[1] Idbenali 2009
cites Sommer 1995 doi
Table 4, p. 6, row 15
report
-38.5 kJ/mol-atom ± 3Pb3Yb298.15experimentalSolution calorimeterPb–Yb[1] Idbenali 2009
cites Sommer 1995 doi
Table 4, p. 6, row 14
report
-38.1 kJ/mol-atom ± 1Pb3Yb298.15experimentalKnudsen dataPb–Yb[1] Idbenali 2009
cites Schiffman 1982 doi
Table 4, p. 6, row 16
report
-37 kJ/mol-atom ± 2Pb3Yb298.15experimentalDynamic differential calorimeter dataPb–Yb[1] Idbenali 2009
cites Palenzona 1973 doi
Table 4, p. 6, row 17
report
-32.96 kJ/mol-atomPb3YbmodelOptimizationPb–Yb[1] Idbenali 2009Table 4, p. 6, row 18
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 Pb3Yb
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-39kJ/mol-atom10.053.2 (solution_reaction_calorimetry, calibrated)3.2
-38.5kJ/mol-atom30.053.2 (solution_reaction_calorimetry, calibrated)3.2
-38.1kJ/mol-atom10.054.2 (kems_vapour, calibrated)4.2
-37kJ/mol-atom20.53.2 (solution_reaction_calorimetry, calibrated)3.2
-32.96kJ/mol-atom0.0053.9 (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 Pb3Yb
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
OQMDoqmd-17937-35.07-0.36348Pm-3m00no

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, Thermodynamic description of the Pb–Yb binary system, Calphad 33, 570-575 (2009). doi:10.1016/j.calphad.2009.05.001