Cu5Zr: enthalpy of formation

9 accepted literature formation-enthalpy value(s) (experimental 3, model 3, DFT 3); experimental median -9.624 kJ/mol-atom (n = 3); Materials Project -11.236 kJ/mol-atom (mp-aaaabthb); OQMD -11.305 kJ/mol-atom (oqmd-17177).

Systems: Cu–Zr

Literature values

Enthalpy of formation of Cu5Zr reported in the literature (9)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-23.8 kJ/mol-atomCu5Zr298.15experimentalCu–Zr[1] Turchanin 2008
cites Yamaguchi 2008 doi
Table 3, p. 10, row 3
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-9.624 kJ/mol-atom ± 0.077Cu5Zr1123experimentalCu–Zr[1] Turchanin 2008
cites Zaitsev 2003 doi
Table 3, p. 10, row 2
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-8.7 kJ/mol-atom ± 1.9Cu5Zr298.15experimentalCu–Zr[1] Turchanin 2008
cites Sommer 1989 doi
Table 3, p. 10, row 1
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-10.299 kJ/mol-atomCu5ZrmodelCu–Zr[2] Zeng 1994Table 1, p. 1, row 2
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-10.286 kJ/mol-atomCu5Zr1123modelCu–Zr[1] Turchanin 2008Table 3, p. 10, row 4
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-2.20724 kJ/mol-atomCu5ZrmodelCu–Zr[2] Zeng 1994
cites Luoma 1991
Table 1, p. 1, row 1
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-12.52 kJ/mol-atomCu5Zr-C15b0DFTUSPP-GGACu–Zr[3] Zhou 2010
cites Ghosh 2007
Table 2, p. 3, row 5
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-11.37 kJ/mol-atomCu5Zr-C15b0DFTPAW-GGACu–Zr[3] Zhou 2010Table 2, p. 3, row 3
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-11.25 kJ/mol-atomCu5Zr-C15b0DFTPAW-GGACu–Zr[3] Zhou 2010
cites Ghosh 2007
Table 2, p. 3, row 4
report

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 Cu5Zr
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-23.8kJ/mol-atom5.000e-43.5 (unknown, calibrated)3.5
-9.624kJ/mol-atom0.0774.632e-43.5 (unknown, calibrated)0.7840.076493.588
-8.7kJ/mol-atom1.95.000e-43.5 (unknown, calibrated)1.6583.873
-10.299kJ/mol-atom5.000e-53.9 (model_calculated, calibrated)3.9
-10.286kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-2.20724kJ/mol-atom5.000e-63.9 (model_calculated, calibrated)3.9
-12.52kJ/mol-atom0.0058.395 (dft, calibrated)8.395
-11.37kJ/mol-atom0.0058.395 (dft, calibrated)8.395
-11.25kJ/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 Cu5Zr
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaabthb-11.236-0.116453F-43m0.94380.0098no
OQMDoqmd-17177-11.305-0.117164F-43m00no

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