AlTi3: enthalpy of formation

6 accepted literature formation-enthalpy value(s) (model 4, DFT 2); Materials Project -26.934 kJ/mol-atom (mp-aaaaacsd); OQMD -31.691 kJ/mol-atom (oqmd-10598).

Systems: Al–Ti

Literature values

Enthalpy of formation of AlTi3 reported in the literature (6)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-27.395 kJ/mol-atomTi3AlmodelAl–Ti[1] Liang 2024Table 2, p. 6, row 30
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-27.0479 kJ/mol-atomTi3AlmodelAl–Ti[1] Liang 2024
cites Witusiewicz 2008 doi
Table 2, p. 6, row 29
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-20.3574 kJ/mol-atomTi3AlmodelAl–Ti[1] Liang 2024
cites Witusiewicz 2008 doi
Table 2, p. 6, row 32
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30.8727 kJ/mol-atomTi3AlmodelAl–Ti[1] Liang 2024Table 2, p. 6, row 33
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-30.8727 kJ/mol-atomTi3AlDFTDFTAl–Ti[1] Liang 2024
cites Curtarolo 2012 doi
Table 2, p. 6, row 31
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-27.395 kJ/mol-atomTi3AlDFTDFTAl–Ti[1] Liang 2024
cites Ghosh 2005 doi
Table 2, p. 6, row 28
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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 AlTi3
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-27.395kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-27.0479kJ/mol-atom5.000e-73.9 (model_calculated, calibrated)3.9
-20.3574kJ/mol-atom5.000e-73.9 (model_calculated, calibrated)3.9
30.8727kJ/mol-atom5.000e-73.9 (model_calculated, calibrated)3.9
-30.8727kJ/mol-atom5.000e-98.395 (dft, calibrated)8.395
-27.395kJ/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 AlTi3
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaacsd-26.934-0.279157P6_3/mmc00no
OQMDoqmd-10598-31.691-0.328455P63/mmc00no

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