Zn22Zr: enthalpy of formation

6 accepted literature formation-enthalpy value(s) (experimental 1, model 3, DFT 2); experimental median -18.4 kJ/mol-atom (n = 1); Materials Project -6.755 kJ/mol-atom (mp-aaaabtsa); OQMD -5.862 kJ/mol-atom (oqmd-90927).

Systems: Zn–Zr

Literature values

Enthalpy of formation of Zn22Zr reported in the literature (6)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-18.4 kJ/mol-atom ± 0.8Zn22Zr298.15experimentalZn–Zr[1] Arroyave 2006
cites Chiotti 1960
Table 5, p. 8, row 1
report
-6.03 kJ/mol-atomZn22Zr298.15modelZn–Zr[1] Arroyave 2006Table 5, p. 8, row 6
report
-5.89 kJ/mol-atomZn22Zr298.15modelZn–Zr[1] Arroyave 2006Table 5, p. 8, row 4
report
-5.84 kJ/mol-atomZn22Zr298.15modelZn–Zr[1] Arroyave 2006Table 5, p. 8, row 5
report
-6.66 kJ/mol-atomZn22Zr298.15DFTLDAZn–Zr[1] Arroyave 2006
cites Arroyave 2005
Table 5, p. 8, row 2
report
-5.57 kJ/mol-atomZn22Zr298.15DFTGGAZn–Zr[1] Arroyave 2006
cites Arroyave 2005
Table 5, p. 8, row 3
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 Zn22Zr
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-18.4kJ/mol-atom0.80.053.5 (unknown, calibrated)3.5
-6.03kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-5.89kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-5.84kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-6.66kJ/mol-atom0.0058.395 (dft, calibrated)8.395
-5.57kJ/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 Zn22Zr
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaabtsa-6.755-0.070015Fd-3m00no
OQMDoqmd-90927-5.862-0.06076Fd-3m0.35690.0037no

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. R. Arroyave, Z.K. Liu, Thermodynamic modelling of the Zn–Zr system, Calphad 30, 1-13 (2006). doi:10.1016/j.calphad.2005.12.006