Al4Cr: enthalpy of formation

4 accepted literature formation-enthalpy value(s) (experimental 2, model 2); experimental median -17.152 kJ/mol-atom (n = 2); OQMD -6.536 kJ/mol-atom (oqmd-2163960).

Systems: Al–Cr

Literature values

Enthalpy of formation of Al4Cr reported in the literature (4)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-17.154 kJ/mol-atomAl4Cr298.15experimentalAl–Cr[1] Murray 1998
cites ref. 60Kub
Table 4, p. 6, row 3
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-17.15 kJ/mol-atomAl4Cr1273.15experimentalAl–Cr[2] Saunders 1986
cites ref. 35
Table 1, p. 4, row 5
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-17.68 kJ/mol-atomAl4Cr1273.15modelAl–Cr[2] Saunders 1986Table 1, p. 4, row 6
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-17.677 kJ/mol-atomAl4Cr1modelAl–Cr[2] Saunders 1986Table 4, p. 8, 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 Al4Cr
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-17.154kJ/mol-atom5.000e-43.5 (unknown, calibrated)3.5
-17.15kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-17.68kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-17.677kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9

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 Al4Cr
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
OQMDoqmd-2163960-6.536-0.067738I4/m6.27960.0651yes

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. J. L. Murray, The Al-Cr (aluminum-chromium) system, JPE 19, 367-375 (1998). doi:10.1007/bf02735058
  2. N. Saunders, V. G. Rivlin, Thermodynamic characterization of Al–Cr, Al–Zr, and Al–Cr–Zr alloy systems, Materials Science and Technology 2, 520-527 (1986). doi:10.1179/mst.1986.2.6.520