CaMg2: enthalpy of formation

15 accepted literature formation-enthalpy value(s) (experimental 9, model 2, DFT 1, unspecified 3); experimental median -13.17 kJ/mol-atom (n = 9); Materials Project -10.24 kJ/mol-atom (mp-aaaaadpo); OQMD -12.167 kJ/mol-atom (oqmd-21025).

Systems: Ca–Mg

Literature values

Enthalpy of formation of CaMg2 reported in the literature (15)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-14.59 kJ/mol-atomMg2Ca-C14255.5experimentalCa–Mg[1] Zhong 2006
cites Chiotti 1964 doi
Table 2, p. 4, row 13
report
-13.5 kJ/mol-atomMg2Ca298.15experimentalCa–Mg[2] Islam 2005
cites King 1964 doi
p. 11
report
In this study, the calculated enthalpy of formation of Mg2 Ca intermetallic compound at 298 K is -12.70 kJ/g atom, which is in close agreement with King and Kleppa [51] and Davison and Smith [52] who reported this value as -13.5 kJ/g atom and -13.17 kJ/g atom, respectively.
-13.5 kJ/mol-atomMg2Ca298.15experimentalexperimentalCa–Mg[3] Kozlov 2008
cites King 1964 doi
Table 2, p. 5, row 4
report
-13.38 kJ/mol-atomMg2Ca-C14298.15experimentalCa–Mg[1] Zhong 2006
cites King 1964 doi
Table 2, p. 4, row 9
report
-13.17 kJ/mol-atomMg2Ca298.15experimentalCa–Mg[2] Islam 2005
cites Davison 1968
p. 11
report
In this study, the calculated enthalpy of formation of Mg2 Ca intermetallic compound at 298 K is -12.70 kJ/g atom, which is in close agreement with King and Kleppa [51] and Davison and Smith [52] who reported this value as -13.5 kJ/g atom and -13.17 kJ/g atom, respectively.
-13.04 kJ/mol-atomMg2Ca-C14298.15experimentalCa–Mg[1] Zhong 2006
cites Gartner 1965
Table 2, p. 4, row 10
report
-13 kJ/mol-atomMg2Ca298.15experimentalexperimentalCa–Mg[3] Kozlov 2008
cites Davison 1968
Table 2, p. 5, row 6
report
-12.7 kJ/mol-atomMg2Ca298.15experimentalexperimentalCa–Mg[3] Kozlov 2008
cites Gartner 1965
Table 2, p. 5, row 5
report
-11.29 kJ/mol-atomMg2Ca-C14359experimentalCa–Mg[1] Zhong 2006
cites Smith 1961
Table 2, p. 4, row 12
report
-12.85 kJ/mol-atomMg2Ca298.15modelCalphadCa–Mg[3] Kozlov 2008
cites Agarwal 1995
Table 2, p. 5, row 2
report
-12.78 kJ/mol-atomMg2Ca298.15modelCalphadCa–Mg[3] Kozlov 2008Table 2, p. 5, row 3
report
-12.37 kJ/mol-atomMg2Ca298.15DFTfirst-principlesCa–Mg[3] Kozlov 2008Table 2, p. 5, row 1
report
-20.97 kJ/mol-atomMg2Ca-C140unspecifiedCa–Mg[1] Zhong 2006
cites Pyagai 1990
Table 2, p. 4, row 8
report
-13.04 kJ/mol-atomMg2Ca-C140unspecifiedCa–Mg[1] Zhong 2006
cites Davison 1968
Table 2, p. 4, row 11
report
-11.7161 kJ/mol-atomMg2Ca-C140unspecifiedCa–Mg[1] Zhong 2006Table 2, p. 4, row 6
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 CaMg2
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-14.59kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-13.5kJ/mol-atom0.053.5 (unknown, calibrated)3.5
-13.5kJ/mol-atom0.054.1 (experimental_unspecified, cleaned_below_threshold)4.1
-13.38kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-13.17kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-13.04kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-13kJ/mol-atom0.054.1 (experimental_unspecified, cleaned_below_threshold)4.1
-12.7kJ/mol-atom0.054.1 (experimental_unspecified, cleaned_below_threshold)4.1
-11.29kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-12.85kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-12.78kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-12.37kJ/mol-atom0.0058.395 (dft, calibrated)8.395
-20.97kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-13.04kJ/mol-atom0.0053.5 (unknown, calibrated)3.5
-11.7161kJ/mol-atom5.000e-53.5 (unknown, calibrated)3.5

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 CaMg2
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaadpo-10.24-0.106135P6_3/mmc00no
OQMDoqmd-21025-12.167-0.126104P63/mmc00no

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. Yu Zhong, Jorge O. Sofo, Alan A. Luo, Zi-Kui Liu, Thermodynamics modeling of the Mg–Sr and Ca–Mg–Sr systems, Journal of Alloys and Compounds 421, 172-178 (2006). doi:10.1016/j.jallcom.2005.09.076
  2. F. Islam, M. Medraj, The phase equilibria in the Mg–Ni–Ca system, Calphad 29, 289-302 (2005). doi:10.1016/j.calphad.2005.08.006
  3. A. Kozlov, M. Ohno, R. Arroyave, Z.K. Liu, R. Schmid-Fetzer, Phase equilibria, thermodynamics and solidification microstructures of Mg–Sn–Ca alloys, Part 1: Experimental investigation and thermodynamic modeling of the ternary Mg–Sn–Ca system, Intermetallics 16, 299-315 (2008). doi:10.1016/j.intermet.2007.10.010