TiC: enthalpy of formation

11 accepted literature formation-enthalpy value(s) (experimental 4, model 7); Materials Project -78.062 kJ/mol-atom (mp-aaaaaayh); OQMD -77.586 kJ/mol-atom (oqmd-1949).

Systems: C–Ti

Literature values

Enthalpy of formation of TiC reported in the literature (11)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-95.2 per mol-atomTiC277.15experimentalC–Ti[1] Saeki 2020
cites ref. 41
Table 1, p. 4, row 4
report
-92.9 per mol-atom ± 8.9TiC277.15experimentalC–Ti[1] Saeki 2020
cites ref. 42
Table 1, p. 4, row 5
report
-91.7 per mol-atom ± 0.8TiC277.15experimentalC–Ti[1] Saeki 2020
cites ref. 39
Table 1, p. 4, row 2
report
-91.6 per mol-atom ± 9.6TiC277.15experimentalC–Ti[1] Saeki 2020
cites ref. 40
Table 1, p. 4, row 3
report
-94 kJ/mol-atomTiC298.15modelC–Ti[2] Frisk 2003
cites Jonsson 1996
Table 1, p. 2, row 1
report
-92 kJ/mol-atomTiC298.15modelC–Ti[2] Frisk 2003
cites Fernandez 1992
Table 1, p. 2, row 5
report
-90.5 kJ/mol-atomTiC298.15modelC–Ti[2] Frisk 2003
cites Albertsen 1995
Table 1, p. 2, row 2
report
-90 kJ/mol-atomTiC298.15modelC–Ti[2] Frisk 2003Table 1, p. 2, row 6
report
-82.4 kJ/mol-atomTiC277.15modelC–Ti[1] Saeki 2020Table 1, p. 4, row 1
report
-78 kJ/mol-atomTiC298.15modelC–Ti[2] Frisk 2003
cites Seifert 1996 doi
Table 1, p. 2, row 3
report
-74 kJ/mol-atomTiC298.15modelC–Ti[2] Frisk 2003
cites Dumitrescu 1999
Table 1, p. 2, row 4
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 TiC
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-95.2per mol-atom0.05unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-92.9per mol-atom8.90.05unit 'per mol-atom' not convertible to kJ/mol-atom8.9
-91.7per mol-atom0.80.05unit 'per mol-atom' not convertible to kJ/mol-atom0.8
-91.6per mol-atom9.60.05unit 'per mol-atom' not convertible to kJ/mol-atom9.6
-94kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-92kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-90.5kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-90kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-82.4kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-78kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-74kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9

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 TiC
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaaayh-78.062-0.809062Fm-3m00no
OQMDoqmd-1949-77.586-0.804125Fm-3m00no

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. Michitoshi Saeki, Takako Yamashita, Hiroshi Ohtani, Thermodynamic Study on Solubility Products of Ti<sub>4</sub>C<sub>2</sub>S<sub>2</sub> in Fe Using First-Principles Calculations, ISIJ Int. 60, 745-755 (2020). doi:10.2355/isijinternational.isijint-2019-274
  2. Karin Frisk, A revised thermodynamic description of the Ti–C system, Calphad 27, 367-373 (2003). doi:10.1016/j.calphad.2004.01.004