FeTi: enthalpy of formation

50 accepted literature formation-enthalpy value(s) (experimental 14, model 28, DFT 4, unspecified 4); experimental median -27.805 kJ/mol-atom (n = 10); Materials Project -40.604 kJ/mol-atom (mp-aaaaaalt); OQMD -43.34 kJ/mol-atom (oqmd-19423).

Systems: Fe–Ti

Literature values

Enthalpy of formation of FeTi reported in the literature (50)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-31.1 kJ/mol-atom ± 1.3FeTi1450experimentalFe–Ti[1] Jonsson 1998
cites Gachon 1981 doi
Table I, p. 2, row 3
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-31.1 kJ/mol-atom ± 1.3FeTi1450experimentalFe–Ti[2] Dumitrescu 1998
cites Gachon 1981 doi
Table 3, p. 4, row 8
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-31 kJ/mol-atomFeTi1440experimentalFe–Ti[3] Santhy 2021
cites Gachon 1983
Table 8, p. 8, row 17
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-31 kJ/mol (basis unstated)FeTi1450.15experimentalFe–Ti[4] Wang 2011
cites Gachon 1983 doi
Table 4, p. 6, row 4
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-29.59 kJ/mol-atomFeTi973experimentalFe–Ti[3] Santhy 2021
cites Dinsdale 1985
Table 8, p. 8, row 15
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-29.588 kJ/mol (basis unstated)FeTi973.15experimentalFe–Ti[4] Wang 2011
cites Dinsdale 1985
Table 4, p. 6, row 6
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-27.81 kJ/mol-atomFeTi1513experimentalFe–Ti[3] Santhy 2021
cites Dinsdale 1985
Table 8, p. 8, row 19
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-27.807 kJ/mol (basis unstated)FeTi1513.15experimentalFe–Ti[4] Wang 2011
cites Dinsdale 1985
Table 4, p. 6, row 8
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-27.8 kJ/mol-atom ± 4FeTi1513experimentalFe–Ti[1] Jonsson 1998
cites Dinsdale 1981
Table I, p. 2, row 5
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-27.8 kJ/mol-atom ± 4FeTi1513experimentalFe–Ti[2] Dumitrescu 1998
cites Dinsdale 1985
Table 3, p. 4, row 15
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-20.3 kJ/mol-atom ± 0.6FeTi298.15experimentalFe–Ti[1] Jonsson 1998
cites Kubaschewski 1955 doi
Table I, p. 2, row 1
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-20.3 kJ/mol-atom ± 0.6FeTi298.15experimentalFe–Ti[2] Dumitrescu 1998
cites Kubaschewski 1957
Table 3, p. 4, row 1
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-20.292 kJ/mol (basis unstated)FeTi298.15experimentalFe–Ti[4] Wang 2011
cites Kubaschewski 1955 doi
Table 4, p. 6, row 2
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-20.29 kJ/mol-atomFeTi298.15experimentalFe–Ti[3] Santhy 2021
cites Dench 1955
Table 8, p. 8, row 13
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-50.17 kJ/mol-atomFeTi0modelFLASTOFe–Ti[3] Santhy 2021
cites Watson 1998 doi
Table 8, p. 8, row 23
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-44.58 kJ/mol-atomFeTi0modelFP methodFe–Ti[3] Santhy 2021Table 8, p. 8, row 20
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-32.19 kJ/mol-atomFeTi1440modelFe–Ti[3] Santhy 2021Table 8, p. 8, row 16
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-32.1 kJ/mol-atomFeTi1513modelFe–Ti[3] Santhy 2021Table 8, p. 8, row 18
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-31.7 kJ/mol-atomFeTi1450modelFe–Ti[1] Jonsson 1998Table I, p. 2, row 4
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-31.691 kJ/mol-atomFeTi1450modelFe–Ti[2] Dumitrescu 1998
cites Jonsson 1998
Table 3, p. 4, row 13
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-31.639 kJ/mol-atomFeTi1513modelFe–Ti[2] Dumitrescu 1998
cites Jonsson 1998
Table 3, p. 4, row 20
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-31.6 kJ/mol-atomFeTi1513modelFe–Ti[1] Jonsson 1998Table I, p. 2, row 6
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-29.868 kJ/mol-atomFeTi1450modelFe–Ti[2] Dumitrescu 1998Table 3, p. 4, row 14
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-29.816 kJ/mol-atomFeTi1513modelFe–Ti[2] Dumitrescu 1998Table 3, p. 4, row 21
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-28 kJ/mol-atomFeTi0modelMiedemaFe–Ti[3] Santhy 2021
cites Miedema 1981
Table 8, p. 8, row 21
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-27.67 kJ/mol-atomFeTi973modelFe–Ti[3] Santhy 2021Table 8, p. 8, row 14
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-27.51 kJ/mol-atomFeTi1450modelFe–Ti[2] Dumitrescu 1998
cites Haft 1994
Table 3, p. 4, row 12
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-27.297 kJ/mol-atomFeTi1513modelFe–Ti[2] Dumitrescu 1998
cites Haft 1994
Table 3, p. 4, row 19
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-25.692 kJ/mol-atomFeTi1450modelFe–Ti[2] Dumitrescu 1998
cites Rand 1998
Table 3, p. 4, row 11
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-25.639 kJ/mol-atomFeTi1513modelFe–Ti[2] Dumitrescu 1998
cites Rand 1998
Table 3, p. 4, row 18
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-24.58 kJ/mol-atomFeTi298.15modelFe–Ti[3] Santhy 2021Table 8, p. 8, row 12
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-24.486 kJ/mol-atomFeTi1450modelFe–Ti[2] Dumitrescu 1998
cites Balasubramanian 1989
Table 3, p. 4, row 10
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-24.4 kJ/mol-atomFeTi298.15modelFe–Ti[1] Jonsson 1998Table I, p. 2, row 2
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-24.399 kJ/mol-atomFeTi298.15modelFe–Ti[2] Dumitrescu 1998
cites Jonsson 1998
Table 3, p. 4, row 6
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-24.272 kJ/mol-atomFeTi1513modelFe–Ti[2] Dumitrescu 1998
cites Balasubramanian 1989
Table 3, p. 4, row 17
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-22.576 kJ/mol-atomFeTi298.15modelFe–Ti[2] Dumitrescu 1998Table 3, p. 4, row 7
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-22.25 kJ/mol-atomFeTi298.15modelFe–Ti[2] Dumitrescu 1998
cites Haft 1994
Table 3, p. 4, row 5
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-19.225 kJ/mol-atomFeTi298.15modelFe–Ti[2] Dumitrescu 1998
cites Balasubramanian 1989
Table 3, p. 4, row 3
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-18.39 kJ/mol-atomFeTi298.15modelFe–Ti[2] Dumitrescu 1998
cites Rand 1998
Table 3, p. 4, row 4
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-16.824 kJ/mol-atomFeTi298.15modelFe–Ti[2] Dumitrescu 1998
cites Murray 1987
Table 3, p. 4, row 2
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12.055 kJ/mol-atomFeTi1450modelFe–Ti[2] Dumitrescu 1998
cites Murray 1987
Table 3, p. 4, row 9
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16.375 kJ/mol-atomFeTi1513modelFe–Ti[2] Dumitrescu 1998
cites Murray 1987
Table 3, p. 4, row 16
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-46.5 kJ/mol-atomFeTi0DFTFP-LAPWFe–Ti[3] Santhy 2021
cites Ohtani 2004 doi
Table 8, p. 8, row 22
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-44.58 kJ/mol-atomFeTi0DFTfirst-principlesFe–Ti[3] Santhy 2021Table 5, p. 3, row 16
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74.45 kJ/mol-atomFeTi0DFTfirst-principlesFe–Ti[3] Santhy 2021Table 5, p. 3, row 18
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95 kJ/mol-atomFeTi0DFTfirst-principlesFe–Ti[3] Santhy 2021Table 5, p. 3, row 17
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-28.4 kJ/mol (basis unstated)FeTi1450.15unspecifiedFe–Ti[4] Wang 2011Table 4, p. 6, row 3
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-28.3 kJ/mol (basis unstated)FeTi1513.15unspecifiedFe–Ti[4] Wang 2011Table 4, p. 6, row 7
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-25.6 kJ/mol (basis unstated)FeTi973.15unspecifiedFe–Ti[4] Wang 2011Table 4, p. 6, row 5
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-23.6 kJ/mol (basis unstated)FeTi298.15unspecifiedFe–Ti[4] Wang 2011Table 4, p. 6, row 1
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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 FeTi
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-31.1kJ/mol-atom1.30.053.5 (unknown, calibrated)3.5
-31.1kJ/mol-atom1.30.053.5 (unknown, calibrated)3.5
-31kJ/mol-atom0.53.5 (unknown, calibrated)3.5
-31kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-29.59kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-29.588kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-27.81kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-27.807kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-27.8kJ/mol-atom40.053.5 (unknown, calibrated)4
-27.8kJ/mol-atom40.053.5 (unknown, calibrated)4
-20.3kJ/mol-atom0.60.053.5 (unknown, calibrated)3.5
-20.3kJ/mol-atom0.60.053.5 (unknown, calibrated)3.5
-20.292kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-20.29kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-50.17kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-44.58kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-32.19kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-32.1kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-31.7kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-31.691kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-31.639kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-31.6kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-29.868kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-29.816kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-28kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-27.67kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-27.51kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-27.297kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-25.692kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-25.639kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-24.58kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-24.486kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-24.4kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-24.399kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-24.272kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-22.576kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-22.25kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-19.225kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-18.39kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-16.824kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
12.055kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
16.375kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-46.5kJ/mol-atom0.053.929 (dft, calibrated)3.929
-44.58kJ/mol-atom0.0053.929 (dft, calibrated)3.929
74.45kJ/mol-atom0.0053.929 (dft, calibrated)3.929
95kJ/mol-atom0.053.929 (dft, calibrated)3.929
-28.4kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-28.3kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-25.6kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7
-23.6kJ/mol (basis unstated)5.000e-47 (unknown, calibrated)7

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 FeTi
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaaalt-40.604-0.42083Pm-3m00no
OQMDoqmd-19423-43.34-0.449193Pm-3m0.12750.0013no

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. Stefan Jonsson, Assessment of the Fe-Ti system, Metall Mater Trans B 29, 361-370 (1998). doi:10.1007/s11663-998-0113-z
  2. L. F. S. Dumitrescu, M. Hillert, N. Sounders, Comparison of Fe-Ti assessments, JPE 19, 441-448 (1998). doi:10.1361/105497198770341923
  3. 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
  4. 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