Ge7Li12: enthalpy of formation

7 accepted literature formation-enthalpy value(s) (experimental 4, model 2, DFT 1); experimental median -33 kJ/mol-atom (n = 4); Materials Project -30.866 kJ/mol-atom (mp-aaacqzll).

Systems: Ge–Li

Literature values

Enthalpy of formation of Ge7Li12 reported in the literature (7)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-33.4 kJ/mol-atomGe7Li12298.15experimentalcalorimetryGe–Li[1] Gierlotka 2022Table 4, p. 4, row 10
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-33.4 kJ/mol-atom ± 1.9Ge7Li12298.15experimentaldrop solution calorimetry (Sn bath)Ge–Li[1] Gierlotka 2022Table 4, p. 4, row 20
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-32.6 kJ/mol-atomGe7Li12298.15experimentalcalorimetryGe–Li[1] Gierlotka 2022Table 4, p. 4, row 11
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-32.2 kJ/mol-atom ± 1.9Ge7Li12298.15experimentalexperimentGe–Li[1] Gierlotka 2022Table 10, p. 8, row 10
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-36.407 kJ/mol-atomGe7Li120modelGe–Li[1] Gierlotka 2022
cites modeled stoichiometry of the phases based on Gruttner [23] description whereas this work adopts ab initio findings
Table 10, p. 8, row 12
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-33.782 kJ/mol-atomGe7Li120modelCalphadGe–Li[1] Gierlotka 2022Table 10, p. 8, row 11
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-32.131 kJ/mol-atomGe7Li120DFTab initioGe–Li[1] Gierlotka 2022Table 10, p. 8, row 9
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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 Ge7Li12
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-33.4kJ/mol-atom0.053.2 (solution_reaction_calorimetry, calibrated)3.2
-33.4kJ/mol-atom1.90.053.2 (solution_reaction_calorimetry, calibrated)3.2
-32.6kJ/mol-atom0.053.2 (solution_reaction_calorimetry, calibrated)3.2
-32.2kJ/mol-atom1.95.000e-54.1 (experimental_unspecified, cleaned_below_threshold)4.1
-36.407kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-33.782kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-32.131kJ/mol-atom5.000e-48.395 (dft, calibrated)8.395

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 Ge7Li12
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaacqzll-30.866-0.319901Pnma0.66020.0068yes

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. W. Gierlotka, A. Dębski, M. Zabrocki, A. Góral, W. Gąsior, Phase diagram, thermodynamic studies, and ab-initio calculations of the Ge-Li system, The Journal of Chemical Thermodynamics 175, 106883 (2022). doi:10.1016/j.jct.2022.106883