Ca2Pb: enthalpy of formation

7 accepted literature formation-enthalpy value(s) (experimental 4, model 3); experimental median -59 kJ/mol-atom (n = 4); Materials Project -53.157 kJ/mol-atom (mp-aaaabtcg); OQMD -54.694 kJ/mol-atom (oqmd-10998).

Systems: Ca–Pb

Literature values

Enthalpy of formation of Ca2Pb reported in the literature (7)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-62 kJ/mol-atom ± 2Ca2Pb300experimentalSolution calorimetryCa–Pb[1] Idbenali 2008
cites Sommer 2006 doi
Table 5, p. 8, row 1
report
-59 kJ/mol-atom ± 1.5Ca2Pb300experimentalDissolution calorimetryCa–Pb[1] Idbenali 2008
cites Bouirden 1984
Table 5, p. 8, row 3
report
-59 kJ/mol-atom ± 5Ca2Pb300experimentalSolution calorimetryCa–Pb[1] Idbenali 2008
cites Notin 1989 doi
Table 5, p. 8, row 2
report
-59 kJ/mol-atom ± 1.5Ca2Pb300experimentaldissolution calorimetryCa–Pb[2] Cartigny 2004
cites Bouirden 1984
Table 2, p. 3, row 7
report
-69.577 kJ/mol-atomCa2Pb300modelCa–Pb[2] Cartigny 2004Table 2, p. 3, row 8
report
-69.577 kJ/mol-atomCa2Pb300modelOptimizationCa–Pb[1] Idbenali 2008
cites Cartigny 2004 doi
Table 5, p. 8, row 4
report
-66.305 kJ/mol-atomCa2Pb300modelOptimizationCa–Pb[1] Idbenali 2008Table 5, p. 8, row 5
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 Ca2Pb
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-62kJ/mol-atom20.53.2 (solution_reaction_calorimetry, calibrated)3.2
-59kJ/mol-atom1.50.53.2 (solution_reaction_calorimetry, calibrated)3.2
-59kJ/mol-atom50.53.2 (solution_reaction_calorimetry, calibrated)5
-59kJ/mol-atom1.50.053.2 (solution_reaction_calorimetry, calibrated)3.2
-69.577kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-69.577kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-66.305kJ/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 Ca2Pb
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaabtcg-53.157-0.550939Pnma00no
OQMDoqmd-10998-54.694-0.566865Pnma00no

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 reassessment of the Ca–Pb system, Calphad 32, 64-73 (2008). doi:10.1016/j.calphad.2007.10.004
  2. Y. Cartigny, J.M. Fiorani, A. Maı̂tre, M. Vilasi, Thermodynamic assessment of the Ca–Pb system, Thermochimica Acta 414, 197-202 (2004). doi:10.1016/j.tca.2004.01.001