Ca5Pb3: enthalpy of formation

6 accepted literature formation-enthalpy value(s) (experimental 3, model 3); experimental median -56 kJ/mol-atom (n = 3); Materials Project -50.319 kJ/mol-atom (mp-aaacpgte); OQMD -51.959 kJ/mol-atom (oqmd-55254).

Systems: Ca–Pb

Literature values

Enthalpy of formation of Ca5Pb3 reported in the literature (6)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-56 kJ/mol-atom ± 5Ca5Pb3300experimentalSolution calorimetryCa–Pb[1] Idbenali 2008
cites Notin 1989 doi
Table 5, p. 8, row 7
report
-56 kJ/mol-atom ± 1Ca5Pb3300experimentaldissolution calorimetryCa–Pb[2] Cartigny 2004
cites Bouirden 1984
Table 2, p. 3, row 5
report
-56 kJ/mol-atom ± 1Ca5Pb3300experimentalDissolution calorimetryCa–Pb[1] Idbenali 2008
cites Bouirden 1984
Table 5, p. 8, row 6
report
-69.354 kJ/mol-atomCa5Pb3300modelCa–Pb[2] Cartigny 2004Table 2, p. 3, row 6
report
-69.354 kJ/mol-atomCa5Pb3300modelOptimizationCa–Pb[1] Idbenali 2008
cites Cartigny 2004 doi
Table 5, p. 8, row 8
report
-64.032 kJ/mol-atomCa5Pb3300modelOptimizationCa–Pb[1] Idbenali 2008Table 5, p. 8, row 9
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 Ca5Pb3
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-56kJ/mol-atom50.53.2 (solution_reaction_calorimetry, calibrated)5
-56kJ/mol-atom10.53.2 (solution_reaction_calorimetry, calibrated)3.2
-56kJ/mol-atom10.53.2 (solution_reaction_calorimetry, calibrated)3.2
-69.354kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-69.354kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-64.032kJ/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 Ca5Pb3
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaacpgte-50.319-0.52152P6_3/mcm2.11340.0219no
OQMDoqmd-55254-51.959-0.538522P63mc2.19020.0227no

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