NbNi3: enthalpy of formation

14 accepted literature formation-enthalpy value(s) (experimental 6, model 3, DFT 5); experimental median -31.715 kJ/mol-atom (n = 5); Materials Project -28.233 kJ/mol-atom (mp-aaaaacdv); OQMD -28.755 kJ/mol-atom (oqmd-30781).

Systems: Nb–Ni

Literature values

Enthalpy of formation of NbNi3 reported in the literature (14)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-32 kJ/mol-atom ± 2NbNi3600.15experimentalExperimentalNb–Ni[1] Santhy 2015
cites Kubaschewski 2015
Table 6, p. 4, row 7
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-32 kJ/mol-atomNbNi3298.15experimentalExperimentalNb–Ni[1] Santhy 2015
cites Hultgren 1973
Table 6, p. 4, row 8
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-31.715 kJ/mol-atom ± 2.218Ni3Nb298.15experimentalNb–Ni[2] Bolcavage 1996
cites Argent 1959
Table 4, p. 8, row 2
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-31.714 kJ/mol (basis unstated) ± 2.552NbNi3298.15experimentalExperimentalNb–Ni[3] Joubert 2004
cites Argent 1959
Table 4, p. 5, row 4
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-31.71 kJ/mol-atom ± 2.5NbNi3298.15experimentalExperimentalNb–Ni[1] Santhy 2015
cites Argent 1959
Table 6, p. 4, row 6
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-31.71 kJ/mol-atomδ-NbNi3298.15experimentalNb–Ni[4] Sun 2023
cites Argent 1959
Table 6, p. 33, row 2
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-33.925 kJ/mol-atomNi3Nb298.15modelNb–Ni[2] Bolcavage 1996Table 4, p. 8, row 1
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-32 kJ/mol-atomNbNi3298.15modelMiedemaNb–Ni[1] Santhy 2015
cites Niessen 1988 doi
Table 6, p. 4, row 9
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-30.645 kJ/mol (basis unstated)NbNi3298.15modelNb–Ni[3] Joubert 2004Table 4, p. 5, row 3
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-33.41 kJ/mol-atomNbNi3DFTFirst-principleNb–Ni[1] Santhy 2015
cites Ravindran 1996 doi
Table 6, p. 4, row 10
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-33.409 kJ/mol (basis unstated)NbNi3298.15DFTFirst principlesNb–Ni[3] Joubert 2004
cites Ravindran 1996 doi
Table 4, p. 5, row 5
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-31.2 kJ/mol-atomNbNi30DFTFirst-principleNb–Ni[1] Santhy 2015Table 6, p. 4, row 11
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-28.51 kJ/mol-atomδ-NbNi3298.15DFTDFT and phonon calculationsNb–Ni[4] Sun 2023Table 6, p. 33, row 1
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-28.38 kJ/mol-atomδ-NbNi30DFTDFT and phonon calculationsNb–Ni[4] Sun 2023Table 6, p. 33, 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 NbNi3
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-32kJ/mol-atom20.054.1 (experimental_unspecified, cleaned_below_threshold)4.1
-32kJ/mol-atom0.54.1 (experimental_unspecified, cleaned_below_threshold)4.1
-31.715kJ/mol-atom2.2185.000e-43.5 (unknown, calibrated)3.5
-31.714kJ/mol (basis unstated)2.5525.000e-416.4 (experimental_unspecified, cleaned_below_threshold)16.4
-31.71kJ/mol-atom2.50.0054.1 (experimental_unspecified, cleaned_below_threshold)4.1
-31.71kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-33.925kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-32kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-30.645kJ/mol (basis unstated)5.000e-415.6 (model_calculated, calibrated)15.6
-33.41kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-33.409kJ/mol (basis unstated)5.000e-415.72 (dft, calibrated)15.72
-31.2kJ/mol-atom0.053.929 (dft, calibrated)3.929
-28.51kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-28.38kJ/mol-atom0.0053.929 (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 NbNi3
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaacdv-28.233-0.292619Pmmn00no
OQMDoqmd-30781-28.755-0.298027Pmmn00no

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 reassessment of Nb-Ni-Ti system with order–disorder model, Journal of Alloys and Compounds 619, 733-747 (2015). doi:10.1016/j.jallcom.2014.08.200
  2. A. Bolcavage, U. R. Kattner, A reassessment of the calculated Ni-Nb phase diagram, JPE 17, 92-100 (1996). doi:10.1007/bf02665782
  3. J.-M. Joubert, B. Sundman, N. Dupin, Assessment of the niobium–nickel system, Calphad 28, 299-306 (2004). doi:10.1016/j.calphad.2004.09.004
  4. Hui Sun, Shun-Li Shang, Rushi Gong, Brandon J. Bocklund, Allison M. Beese, Zi-Kui Liu, Thermodynamic modeling of the Nb-Ni system with uncertainty quantification using PyCalphad and ESPEI, Calphad 82, 102563 (2023). doi:10.1016/j.calphad.2023.102563