Nb7Ni6: enthalpy of formation

10 accepted literature formation-enthalpy value(s) (experimental 4, model 1, DFT 5); experimental median -22.735 kJ/mol-atom (n = 4); Materials Project -19.894 kJ/mol-atom (mp-aaackvmr); OQMD -19.955 kJ/mol-atom (oqmd-30782).

Systems: Nb–Ni

Literature values

Enthalpy of formation of Nb7Ni6 reported in the literature (10)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-23 kJ/mol-atomNb7Ni6298.15experimentalExperimentalNb–Ni[1] Santhy 2015
cites Hultgren 1973
Table 6, p. 4, row 3
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-23 kJ/mol-atom ± 3Nb7Ni6600.15experimentalExperimentalNb–Ni[1] Santhy 2015
cites Kubaschewski 2015
Table 6, p. 4, row 2
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-22.47 kJ/mol-atom ± 2.2Nb7Ni6298.15experimentalExperimentalNb–Ni[1] Santhy 2015
cites Argent 1959
Table 6, p. 4, row 1
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-22.45 kJ/mol-atomμ-Nb7Ni6 + µ-Nb7Ni6298.15experimentalNb–Ni[2] Sun 2023
cites Argent 1959
Table 6, p. 33, row 5
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-20.76 kJ/mol-atomNb7Ni6298.15modelMiedemaNb–Ni[1] Santhy 2015
cites Niessen 1988 doi
Table 6, p. 4, row 4
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-22.5 kJ/mol-atomNb7Ni60DFTFirst-principleNb–Ni[1] Santhy 2015Table 6, p. 4, row 5
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-20.63 kJ/mol-atomμ-Nb7Ni6 + µ-Nb7Ni60DFTDFT and phonon calculationsNb–Ni[2] Sun 2023Table 6, p. 33, row 3
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-20.5 kJ/mol-atomμ-Nb7Ni6 + µ-Nb7Ni60DFTDFT and phonon calculationsNb–Ni[2] Sun 2023Table 6, p. 33, row 4
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-20.43 kJ/mol-atomμ-Nb7Ni6 + µ-Nb7Ni6298.15DFTDFT and phonon calculationsNb–Ni[2] Sun 2023Table 6, p. 33, row 4
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-20.38 kJ/mol-atomμ-Nb7Ni6 + µ-Nb7Ni6298.15DFTDFT and phonon calculationsNb–Ni[2] Sun 2023Table 6, p. 33, row 3
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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 Nb7Ni6
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-23kJ/mol-atom0.54.1 (experimental_unspecified, cleaned_below_threshold)4.1
-23kJ/mol-atom30.54.1 (experimental_unspecified, cleaned_below_threshold)4.1
-22.47kJ/mol-atom2.20.0054.1 (experimental_unspecified, cleaned_below_threshold)4.1
-22.45kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-20.76kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-22.5kJ/mol-atom0.053.929 (dft, calibrated)3.929
-20.63kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-20.5kJ/mol-atom0.053.929 (dft, calibrated)3.929
-20.43kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-20.38kJ/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 Nb7Ni6
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaackvmr-19.894-0.206183R-3m00no
OQMDoqmd-30782-19.955-0.206825R-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. 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. 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