Fe2Ti: enthalpy of formation

39 accepted literature formation-enthalpy value(s) (experimental 10, model 20, DFT 6, unspecified 3); experimental median -25.4 kJ/mol-atom (n = 7); Materials Project -27.342 kJ/mol-atom (mp-aaaaadqk); OQMD -29.56 kJ/mol-atom (oqmd-1590944).

Systems: Fe–Ti

Literature values

Enthalpy of formation of Fe2Ti reported in the literature (39)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-27.6 kJ/mol-atomFe2Ti1514experimentalFe–Ti[1] Santhy 2021
cites Gachon 1983
Table 8, p. 8, row 9
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-27.6 kJ/mol-atom ± 1Fe2Ti1514experimentalFe–Ti[2] Jonsson 1998
cites Gachon 1981 doi
Table I, p. 2, row 7
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-27.6 kJ/mol (basis unstated)Fe2Ti1514.15experimentalFe–Ti[3] Wang 2011
cites Gachon 1983 doi
Table 4, p. 6, row 10
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-27.6 kJ/mol-atom ± 1Fe2Ti1514experimentalFe–Ti[4] Dumitrescu 1998
cites Gachon 1981 doi
Table 3, p. 4, row 22
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-25.4 kJ/mol-atom ± 2Fe2Ti1413experimentalFe–Ti[2] Jonsson 1998
cites Dinsdale 1981
Table I, p. 2, row 9
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-25.4 kJ/mol-atom ± 2Fe2Ti1413experimentalFe–Ti[4] Dumitrescu 1998
cites Dinsdale 1985
Table 3, p. 4, row 27
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-25.394 kJ/mol (basis unstated)Fe2Ti1413.15experimentalFe–Ti[3] Wang 2011
cites Dinsdale 1985
Table 4, p. 6, row 14
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-25.39 kJ/mol-atomFe2Ti1413experimentalFe–Ti[1] Santhy 2021
cites Dinsdale 1985
Table 8, p. 8, row 6
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-21.294 kJ/mol (basis unstated)Fe2Ti973.15experimentalFe–Ti[3] Wang 2011
cites Dinsdale 1985
Table 4, p. 6, row 12
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-21.29 kJ/mol-atomFe2Ti973experimentalFe–Ti[1] Santhy 2021
cites Dinsdale 1985
Table 8, p. 8, row 3
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-34.52 kJ/mol-atomFe2Ti1413modelFe–Ti[4] Dumitrescu 1998
cites Haft 1994
Table 3, p. 4, row 31
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-34.168 kJ/mol-atomFe2Ti1413modelFe–Ti[4] Dumitrescu 1998
cites Balasubramanian 1989
Table 3, p. 4, row 29
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-33.93 kJ/mol-atomFe2Ti1413modelFe–Ti[4] Dumitrescu 1998
cites Jonsson 1998
Table 3, p. 4, row 32
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-33.9 kJ/mol-atomFe2Ti1413modelFe–Ti[2] Jonsson 1998Table I, p. 2, row 10
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-31.84 kJ/mol-atomFe2Ti1413modelFe–Ti[4] Dumitrescu 1998
cites Rand 1998
Table 3, p. 4, row 30
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-31.815 kJ/mol-atomFe2Ti1514modelFe–Ti[4] Dumitrescu 1998
cites Haft 1994
Table 3, p. 4, row 24
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-31.513 kJ/mol-atomFe2Ti1514modelFe–Ti[4] Dumitrescu 1998
cites Jonsson 1998
Table 3, p. 4, row 25
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-31.5 kJ/mol-atomFe2Ti1514modelFe–Ti[2] Jonsson 1998Table I, p. 2, row 8
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-30.13 kJ/mol-atomFe2Ti0modelFP methodFe–Ti[1] Santhy 2021Table 8, p. 8, row 10
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-29.752 kJ/mol-atomFe2Ti1514modelFe–Ti[4] Dumitrescu 1998
cites Rand 1998
Table 3, p. 4, row 23
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-29.273 kJ/mol-atomFe2Ti1413modelFe–Ti[4] Dumitrescu 1998Table 3, p. 4, row 33
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-29.11 kJ/mol-atomFe2Ti1514modelFe–Ti[1] Santhy 2021Table 8, p. 8, row 7
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-28.42 kJ/mol-atomFe2Ti1413modelFe–Ti[1] Santhy 2021Table 8, p. 8, row 4
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-26.863 kJ/mol-atomFe2Ti1514modelFe–Ti[4] Dumitrescu 1998Table 3, p. 4, row 26
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-26.13 kJ/mol-atomFe2Ti1514modelFe–Ti[1] Santhy 2021Table 8, p. 8, row 8
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-26.01 kJ/mol-atomFe2Ti1413modelFe–Ti[1] Santhy 2021Table 8, p. 8, row 5
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-25 kJ/mol-atomFe2Ti0modelMiedemaFe–Ti[1] Santhy 2021
cites Miedema 1981
Table 8, p. 8, row 11
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-22.4 kJ/mol-atomFe2Ti973modelFe–Ti[1] Santhy 2021Table 8, p. 8, row 1
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-21.26 kJ/mol-atomFe2Ti973modelFe–Ti[1] Santhy 2021Table 8, p. 8, row 2
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7.179 kJ/mol-atomFe2Ti1413modelFe–Ti[4] Dumitrescu 1998
cites Murray 1987
Table 3, p. 4, row 28
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-30.131 kJ/mol-atomFe₂Ti0DFTfirst-principlesFe–Ti[1] Santhy 2021Table 5, p. 3, row 10
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-29.817 kJ/mol-atomFe₂Ti0DFTfirst-principlesFe–Ti[1] Santhy 2021Table 5, p. 3, row 11
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-27.134 kJ/mol-atomFe₂Ti0DFTfirst-principlesFe–Ti[1] Santhy 2021Table 5, p. 3, row 12
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-23.678 kJ/mol-atomFe₂Ti0DFTfirst-principlesFe–Ti[1] Santhy 2021Table 5, p. 3, row 15
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26.931 kJ/mol-atomFe₂Ti0DFTfirst-principlesFe–Ti[1] Santhy 2021Table 5, p. 3, row 13
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37.039 kJ/mol-atomFe₂Ti0DFTfirst-principlesFe–Ti[1] Santhy 2021Table 5, p. 3, row 14
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-34.3 kJ/mol (basis unstated)Fe2Ti1413.15unspecifiedFe–Ti[3] Wang 2011Table 4, p. 6, row 13
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-31.6 kJ/mol (basis unstated)Fe2Ti1514.15unspecifiedFe–Ti[3] Wang 2011Table 4, p. 6, row 9
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-30.8 kJ/mol (basis unstated)Fe2Ti973.15unspecifiedFe–Ti[3] Wang 2011Table 4, p. 6, row 11
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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 Fe2Ti
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-27.6kJ/mol-atom0.053.5 (unknown, calibrated)3.5
-27.6kJ/mol-atom10.053.5 (unknown, calibrated)3.5
-27.6kJ/mol (basis unstated)5.000e-410.5 (unknown, calibrated)10.5
-27.6kJ/mol-atom10.053.5 (unknown, calibrated)3.5
-25.4kJ/mol-atom20.053.5 (unknown, calibrated)3.5
-25.4kJ/mol-atom20.053.5 (unknown, calibrated)3.5
-25.394kJ/mol (basis unstated)5.000e-410.5 (unknown, calibrated)10.5
-25.39kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-21.294kJ/mol (basis unstated)5.000e-410.5 (unknown, calibrated)10.5
-21.29kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-34.52kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-34.168kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-33.93kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-33.9kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-31.84kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-31.815kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-31.513kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-31.5kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-30.13kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-29.752kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-29.273kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-29.11kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-28.42kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-26.863kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-26.13kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-26.01kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-25kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-22.4kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-21.26kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
7.179kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-30.131kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-29.817kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-27.134kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-23.678kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
26.931kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
37.039kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-34.3kJ/mol (basis unstated)5.000e-410.5 (unknown, calibrated)10.5
-31.6kJ/mol (basis unstated)5.000e-410.5 (unknown, calibrated)10.5
-30.8kJ/mol (basis unstated)5.000e-410.5 (unknown, calibrated)10.5

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 Fe2Ti
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaadqk-27.342-0.283385P6_3/mmc00no
OQMDoqmd-1590944-29.56-0.306365Fd-3m00yes
OQMDoqmd-18688-28.736-0.297833P63/mmc0.82320.0085no

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. K. Santhy, K.C. Hari Kumar, Thermodynamic modelling of magnetic laves phase in Fe–Ti system using first principle method, Intermetallics 128, 106978 (2021). doi:10.1016/j.intermet.2020.106978
  2. Stefan Jonsson, Assessment of the Fe-Ti system, Metall Mater Trans B 29, 361-370 (1998). doi:10.1007/s11663-998-0113-z
  3. C.P. Wang, J.P. Zheng, Y. Yu, H.F. Hu, X.J. Liu, Experimental investigation and thermodynamic calculation of the phase equilibria in the Fe–Nb–Ti ternary system, Materials Chemistry and Physics 130, 806-814 (2011). doi:10.1016/j.matchemphys.2011.07.071
  4. L. F. S. Dumitrescu, M. Hillert, N. Sounders, Comparison of Fe-Ti assessments, JPE 19, 441-448 (1998). doi:10.1361/105497198770341923