Al3Ti: enthalpy of formation

6 accepted literature formation-enthalpy value(s) (model 4, DFT 2); Materials Project -38.428 kJ/mol-atom (mp-aaabexdj); OQMD -40.324 kJ/mol-atom (oqmd-2170264).

Systems: Al–Ti

Literature values

Enthalpy of formation of Al3Ti reported in the literature (6)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-38.895 kJ/mol-atomTiAl3modelAl–Ti[1] Liang 2024Table 2, p. 6, row 18
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-36.905 kJ/mol-atomTiAl3modelAl–Ti[1] Liang 2024
cites Witusiewicz 2008 doi
Table 2, p. 6, row 17
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-24.4297 kJ/mol-atomTiAl3modelAl–Ti[1] Liang 2024Table 2, p. 6, row 21
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-14.0035 kJ/mol-atomTiAl3modelAl–Ti[1] Liang 2024
cites Witusiewicz 2008 doi
Table 2, p. 6, row 20
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-38.895 kJ/mol-atomTiAl3DFTDFTAl–Ti[1] Liang 2024
cites Ghosh 2005 doi
Table 2, p. 6, row 16
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-24.4297 kJ/mol-atomTiAl3DFTDFTAl–Ti[1] Liang 2024
cites Curtarolo 2012 doi
Table 2, p. 6, row 19
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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 Al3Ti
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-38.895kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-36.905kJ/mol-atom5.000e-73.9 (model_calculated, calibrated)3.9
-24.4297kJ/mol-atom5.000e-63.9 (model_calculated, calibrated)3.9
-14.0035kJ/mol-atom5.000e-73.9 (model_calculated, calibrated)3.9
-38.895kJ/mol-atom5.000e-48.395 (dft, calibrated)8.395
-24.4297kJ/mol-atom5.000e-98.395 (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 Al3Ti
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaabexdj-38.428-0.398278I4/mmm00no
OQMDoqmd-2170264-40.324-0.417931I4/mmm00yes

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. Zhi Liang, Ursula Kattner, Kamal Choudharry, Francesca Tavazza, Carelyn Campbell, Thermodynamic Assessments of Ti-Al, Ti-Fe, and Ti-Al-Fe Systems with Four-Sublattice Description of Ordered Body-Centered Cubic Phase and Density Functional Theory Data, J. Phase Equilib. Diffus. 45, 732-756 (2024). doi:10.1007/s11669-024-01124-9