Cu10Zr7: enthalpy of formation

10 accepted literature formation-enthalpy value(s) (experimental 4, model 4, DFT 2); experimental median -16.291 kJ/mol-atom (n = 4); Materials Project -15.275 kJ/mol-atom (mp-aaacppnh); OQMD -15.415 kJ/mol-atom (oqmd-20874).

Systems: Cu–Zr

Literature values

Enthalpy of formation of Cu10Zr7 reported in the literature (10)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-22.9 kJ/mol-atomCu10Zr7298.15experimentalCu–Zr[1] Turchanin 2008
cites Yamaguchi 2008 doi
Table 3, p. 10, row 14
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-20.272 kJ/mol-atom ± 0.259Cu10Zr71123experimentalCu–Zr[1] Turchanin 2008
cites Zaitsev 2003 doi
Table 3, p. 10, row 13
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-12.31 kJ/mol-atom ± 0.24Cu10Zr7298.15experimentalCu–Zr[1] Turchanin 2008
cites Kleppa 1982 doi
Table 3, p. 10, row 12
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-12.31 kJ/mol-atomCu10Zr7298.15experimentalCu–Zr[2] Zeng 1994
cites Kleppa 1982 doi
Table 1, p. 1, row 13
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-21.226 kJ/mol-atomCu10Zr7modelCu–Zr[2] Zeng 1994
cites Saunders 1985 doi
Table 1, p. 1, row 10
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-20.466 kJ/mol-atomCu10Zr71123modelCu–Zr[1] Turchanin 2008Table 3, p. 10, row 15
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-14.2206 kJ/mol-atomCu10Zr7modelCu–Zr[2] Zeng 1994Table 1, p. 1, row 12
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-6.73512 kJ/mol-atomCu10Zr7modelCu–Zr[2] Zeng 1994
cites Luoma 1991
Table 1, p. 1, row 11
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-18.75 kJ/mol-atomCu10Zr7-φ0DFTUSPP-GGACu–Zr[3] Zhou 2010
cites Ghosh 2007
Table 2, p. 3, row 12
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-16.13 kJ/mol-atomCu10Zr7-φ0DFTPAW-GGACu–Zr[3] Zhou 2010Table 2, p. 3, 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 Cu10Zr7
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-22.9kJ/mol-atom5.000e-43.5 (unknown, calibrated)3.5
-20.272kJ/mol-atom0.2594.606e-43.5 (unknown, calibrated)5.630.17325.63
-12.31kJ/mol-atom0.245.000e-43.5 (unknown, calibrated)0.47145.635.63
-12.31kJ/mol-atom5.000e-43.5 (unknown, calibrated)3.5
-21.226kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-20.466kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-14.2206kJ/mol-atom5.000e-63.9 (model_calculated, calibrated)3.9
-6.73512kJ/mol-atom5.000e-63.9 (model_calculated, calibrated)3.9
-18.75kJ/mol-atom0.0058.395 (dft, calibrated)8.395
-16.13kJ/mol-atom0.0058.395 (dft, calibrated)8.395

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 Cu10Zr7
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaacppnh-15.275-0.158315Cmce00yes
OQMDoqmd-20874-15.415-0.159765Aba200no

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. M. A. Turchanin, P. G. Agraval, A. R. Abdulov, Thermodynamic assessment of the Cu-Ti-Zr system. II. Cu-Zr and Ti-Zr systems, Powder Metall Met Ceram 47, 428-446 (2008). doi:10.1007/s11106-008-9039-x
  2. K. J. Zeng, M. Hämäläinen, H. L. Lukas, A new thermodynamic description of the Cu-Zr system, JPE 15, 577-586 (1994). doi:10.1007/bf02647618
  3. S.H. Zhou, R.E. Napolitano, Phase stability for the Cu–Zr system: First-principles, experiments and solution-based modeling, Acta Materialia 58, 2186-2196 (2010). doi:10.1016/j.actamat.2009.12.004