Ge4Li9: enthalpy of formation

3 accepted literature formation-enthalpy value(s) (model 2, DFT 1); Materials Project -33.572 kJ/mol-atom (mp-aaafekwf); OQMD -34.257 kJ/mol-atom (oqmd-4751).

Systems: Ge–Li

Literature values

Enthalpy of formation of Ge4Li9 reported in the literature (3)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-37.789 kJ/mol-atomGe4Li90modelGe–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 15
report
-35.845 kJ/mol-atomGe4Li90modelCalphadGe–Li[1] Gierlotka 2022Table 10, p. 8, row 14
report
-33.919 kJ/mol-atomGe4Li90DFTab initioGe–Li[1] Gierlotka 2022Table 10, p. 8, row 13
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 Ge4Li9
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-37.789kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-35.845kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-33.919kJ/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 Ge4Li9
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaafekwf-33.572-0.347948P6_3/mmc00yes
OQMDoqmd-4751-34.257-0.355054Cmcm0.38640.004no

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