HfB2: enthalpy of formation

7 accepted literature formation-enthalpy value(s) (experimental 6, model 1); experimental median -105.8 kJ/mol-atom (n = 6); Materials Project -98.211 kJ/mol-atom (mp-aaaaacys); OQMD -98.749 kJ/mol-atom (oqmd-5848).

Systems: B–Hf

Literature values

Enthalpy of formation of HfB2 reported in the literature (7)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-117.633 kJ/mol-atomHfB2298.15experimentalLangmuir vaporizationB–Hf[1] Bittermann 1997
cites Krupka 1962
Table 3, p. 4, row 13
report
-109.633 kJ/mol-atom ± 2.93333HfB2298.15experimentalFluorine bomb calorimetryB–Hf[1] Bittermann 1997
cites ref. 67Joh
Table 3, p. 4, row 15
report
-106.567 kJ/mol-atomHfB2298.15experimentalLangmuir vaporizationB–Hf[1] Bittermann 1997
cites ref. 64
Table 3, p. 4, row 14
report
-105.033 kJ/mol-atomHfB2298.15experimentalTensimetric (reduction of HfO2 to HfB2 with B and B4C)B–Hf[1] Bittermann 1997
cites Paderno 1959
Table 3, p. 4, row 12
report
-87.3 kJ/mol-atom ± 1.66667HfB2298.15experimentalSelf-sustaining high-temperature synthesis calorimetryB–Hf[1] Bittermann 1997
cites Maslov 1978
Table 3, p. 4, row 17
report
-83.1333 kJ/mol-atom ± 1.96667HfB2298.15experimentalSelf-sustaining high-temperature synthesis calorimetryB–Hf[1] Bittermann 1997
cites Kitpichev 1979
Table 3, p. 4, row 18
report
-106.567 kJ/mol-atomHfB2modelB–Hf[1] Bittermann 1997Table 3, p. 4, row 20
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 HfB2
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-117.633kJ/mol-atom0.016674.2 (kems_vapour, calibrated)4.2
-109.633kJ/mol-atom2.9330.016671 (combustion_calorimetry, cleaned_below_threshold)2.933
-106.567kJ/mol-atom0.016674.2 (kems_vapour, calibrated)4.2
-105.033kJ/mol-atom0.016674.1 (experimental_unspecified, cleaned_below_threshold)4.1
-87.3kJ/mol-atom1.6670.016673.2 (solution_reaction_calorimetry, calibrated)3.2
-83.1333kJ/mol-atom1.9670.016673.2 (solution_reaction_calorimetry, calibrated)3.2
-106.567kJ/mol-atom0.016673.9 (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 HfB2
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaacys-98.211-1.01789P6/mmm00no
OQMDoqmd-5848-98.749-1.02347P6/mmm00no

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. H. Bittermann, P. Rogl, Critical assessment and thermodynamic calculation of the ternary system boron-hafnium-titanium (B-Hf-Ti), JPE 18, 24-47 (1997). doi:10.1007/bf02646757