Ca11Sb10: enthalpy of formation

5 accepted literature formation-enthalpy value(s) (experimental 3, model 1, DFT 1); experimental median -109.5 kJ/mol-atom (n = 2); Materials Project -100.068 kJ/mol-atom (mp-aaaaascv); OQMD -92.512 kJ/mol-atom (oqmd-32356).

Systems: Ca–Sb

Literature values

Enthalpy of formation of Ca11Sb10 reported in the literature (5)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-112 kJ/mol-atom ± 5Ca11Sb101100experimentalCa–Sb[1] Qin 2015
cites Bouhajib 1990
Table 3, p. 3, row 14
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-107 kJ/mol-atom ± 3Ca11Sb101078experimentalCa–Sb[1] Qin 2015
cites Bouhajib 1999 doi
Table 3, p. 3, row 13
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-96 unspecified ± 5Ca11Sb101100.15experimentaldirect reaction calorimetryCa–Sb[1] Qin 2015
cites Bouhajib 1990
p. 3
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Bouhajib [23,24] reported the enthalpies of formation of Ca5Sb3 and Ca11Sb10 at 827 °C to be -112 75 and -96 75 kJ/ mole-atoms, respectively.
-96.8 kJ/mol-atomCa11Sb10298.15modelCa–Sb[1] Qin 2015Table 3, p. 3, row 16
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-92.36 kJ/mol-atomCa11Sb100DFTCa–Sb[1] Qin 2015Table 3, p. 3, row 15
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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 Ca11Sb10
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-112kJ/mol-atom50.53.5 (unknown, calibrated)5
-107kJ/mol-atom30.53.5 (unknown, calibrated)3.5
-96unspecified50.05unit 'unspecified' not convertible to kJ/mol-atom5
-96.8kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-92.36kJ/mol-atom0.0059.966 (dft, calibrated)9.966

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 Ca11Sb10
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaascv-100.068-1.03713I4/mmm00no
OQMDoqmd-32356-92.512-0.958826I4/mmm00no

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. Song Qin, Shuhong Liu, Cong Zhang, Jinghua Xin, Yao Wang, Yong Du, Thermodynamic modeling of the Ca–In and Ca–Sb systems supported with first-principles calculations, Calphad 48, 35-42 (2015). doi:10.1016/j.calphad.2014.10.008