Mn2Ti: enthalpy of formation

6 accepted literature formation-enthalpy value(s) (experimental 1, model 2, DFT 3); experimental median -28.92 kJ/mol-atom (n = 1); Materials Project -26.259 kJ/mol-atom (mp-aaaaacwz); OQMD -27.684 kJ/mol-atom (oqmd-17696).

Systems: Mn–Ti

Literature values

Enthalpy of formation of Mn2Ti reported in the literature (6)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-28.92 kJ/mol-atomC14 Laves TiMn2298.15experimentalMn–Ti[1] Zheng 2022
cites Chen 2003 doi
Table 4, p. 6, row 4
report
-26.714 kJ/mol-atomC14 Laves TiMn2298.15modelCALPHADMn–Ti[1] Zheng 2022
cites Khan 2016 doi
Table 4, p. 6, row 6
report
-26.714 kJ/mol-atomC14 Laves TiMn2298.15modelCALPHADMn–Ti[1] Zheng 2022Table 4, p. 6, row 5
report
-28.4 kJ/mol-atomC14 Laves TiMn20DFTab initioMn–Ti[1] Zheng 2022
cites Chen 2005
Table 4, p. 6, row 3
report
-27.22 kJ/mol-atomC14 Laves TiMn20DFTab initioMn–Ti[1] Zheng 2022Table 4, p. 6, row 1
report
-26.714 kJ/mol-atomC14 Laves TiMn20DFTab initioMn–Ti[1] Zheng 2022
cites Khan 2016 doi
Table 4, p. 6, row 2
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 Mn2Ti
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-28.92kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-26.714kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-26.714kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-28.4kJ/mol-atom0.053.929 (dft, calibrated)3.929
-27.22kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-26.714kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929

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 Mn2Ti
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaacwz-26.259-0.272158P6_3/mmc00no
OQMDoqmd-17696-27.684-0.286924P63/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. Weisen Zheng, Wei Song, Tong Wu, Jingya Wang, Yanlin He, Xiao-Gang Lu, Experimental investigation and thermodynamic modeling of the ternary Ti–Fe–Mn system for hydrogen storage applications, Journal of Alloys and Compounds 891, 161957 (2022). doi:10.1016/j.jallcom.2021.161957