BiNa: enthalpy of formation

5 accepted literature formation-enthalpy value(s) (experimental 4, model 1); experimental median -39.75 kJ/mol-atom (n = 3); Materials Project -28.197 kJ/mol-atom (mp-aaaabhxs); OQMD -35.373 kJ/mol-atom (oqmd-28744).

Systems: Bi–Na

Literature values

Enthalpy of formation of BiNa reported in the literature (5)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-78.3 kJ/mol (basis unstated)BiNa298.15experimentaldirect reaction calorimetryBi–Na[1] Liu 2013
cites Seith 1937
p. 2
report
The enthalpies of formation of BiNa at 298 K were reported to be -78.3 kJ/mol, relative to pure liquids, from direct reaction calorimetry by Seith and Kubaschewski [43] and Kubaschewski and Catterall [44].
-41.6 kJ/mol-atomBiNa(s)298.15experimentalBi–Na[1] Liu 2013
cites Iwase 1984
Table 5, p. 7, row 3
report
-39.75 kJ/mol-atomBiNa(s)298.15experimentalBi–Na[1] Liu 2013
cites Foster 1967
Table 5, p. 7, row 2
report
-39.15 kJ/mol-atomBiNa(s)298.15experimentalBi–Na[1] Liu 2013
cites Seith 1937
Table 5, p. 7, row 4
report
-42.45 kJ/mol-atomBiNa(s)modelBi–Na[1] Liu 2013Table 5, p. 7, row 1
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 BiNa
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-78.3kJ/mol (basis unstated)0.056.4 (solution_reaction_calorimetry, calibrated)6.4
-41.6kJ/mol-atom0.0253.5 (unknown, calibrated)3.5
-39.75kJ/mol-atom0.0253.5 (unknown, calibrated)3.5
-39.15kJ/mol-atom0.0253.5 (unknown, calibrated)3.5
-42.45kJ/mol-atom0.0253.9 (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 BiNa
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaabhxs-28.197-0.292242P4/mmm00no
OQMDoqmd-28744-35.373-0.366611P4/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. Yajun Liu, Zhitao Kang, Jiang Wang, Thermodynamic basis and related phase equilibria for Bi–Li and Bi–Na binary systems, Thermochimica Acta 558, 53-60 (2013). doi:10.1016/j.tca.2013.01.029