TiB: enthalpy of formation

11 accepted literature formation-enthalpy value(s) (experimental 1, model 3, DFT 7); Materials Project -80.281 kJ/mol-atom (mp-aaaaalqf); OQMD -82.177 kJ/mol-atom (oqmd-28621).

Systems: B–Ti

Literature values

Enthalpy of formation of TiB reported in the literature (11)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-160.247 kJ/mol (basis unstated)TiB298.15experimentalB–Ti[1] Ma 2004
cites Schissel 1962 doi
Table 3, p. 4, row 5
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-82.5 kJ/mol-atomTiBmodelB–Ti[2] Nakama 2009
cites Witusiewicz 2008 doi
Table 4, p. 7, row 29
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-82.5 kJ/mol (basis unstated)TiBmodelB–Ti[2] Nakama 2009
cites Witusiewicz 2008 doi
Table 3, p. 6, row 2
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-69.3 kJ/mol-atomTiBmodelB–Ti[2] Nakama 2009
cites Witusiewicz 2008 doi
Table 4, p. 7, row 22
report
-83 kJ/mol (basis unstated)TiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 3, p. 6, row 1
report
-83 kJ/mol-atomTiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 4, p. 7, row 28
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-82.9 kJ/mol-atomTiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 4, p. 7, row 26
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-82.7 kJ/mol-atomTiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 4, p. 7, row 25
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-82 kJ/mol-atomTiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 4, p. 7, row 24
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-80.1 kJ/mol-atomTiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 4, p. 7, row 23
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-78.7 kJ/mol-atomTiB0DFTFirst principlesB–Ti[2] Nakama 2009Table 4, p. 7, row 21
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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 TiB
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-160.247kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-82.5kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-82.5kJ/mol (basis unstated)0.057.8 (model_calculated, calibrated)7.8
-69.3kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-83kJ/mol (basis unstated)0.0519.93 (dft, calibrated)19.93
-83kJ/mol-atom0.059.966 (dft, calibrated)9.966
-82.9kJ/mol-atom0.059.966 (dft, calibrated)9.966
-82.7kJ/mol-atom0.059.966 (dft, calibrated)9.966
-82kJ/mol-atom0.059.966 (dft, calibrated)9.966
-80.1kJ/mol-atom0.059.966 (dft, calibrated)9.966
-78.7kJ/mol-atom0.059.966 (dft, calibrated)9.966

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 TiB
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaalqf-80.281-0.832055Pnma00no
OQMDoqmd-28621-82.177-0.851705Pnma00no

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. Xiaoyan Ma, Changrong Li, Zhenmin Du, Weijing Zhang, Thermodynamic assessment of the Ti–B system, Journal of Alloys and Compounds 370, 149-158 (2004). doi:10.1016/j.jallcom.2003.09.017
  2. Yu Nakama, Hiroshi Ohtani, Mitsuhiro Hasebe, Thermodynamic Analysis of the Nb–Ti–B Ternary Phase Diagram, Mater. Trans. 50, 984-993 (2009). doi:10.2320/matertrans.mc200820