Cr3Ga: enthalpy of formation

15 accepted literature formation-enthalpy value(s) (experimental 9, model 6); experimental median -3.3 kJ/mol-atom (n = 1); Materials Project -4.035 kJ/mol-atom (mp-aaaaabvj); OQMD -5.328 kJ/mol-atom (oqmd-29544).

Systems: Cr–Ga

Literature values

Enthalpy of formation of Cr3Ga reported in the literature (15)
Value	Phase as printed	T (K)	Class	Method	System	Source	Location
-8.56 kJ/mol (basis unstated)	α-Cr3Ga	1323.15	experimental	calorimetry	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 1, p. 3, row 2 report
-8.1 kJ/mol (basis unstated)	α-Cr3Ga	1323.15	experimental	calorimetry	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 1, p. 3, row 2 report
-8.1 kJ/mol (basis unstated) ± 0.3	Cr3Ga (α)	298.15	experimental	Direct reaction	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 4, p. 4, row 4 report
-7.97 kJ/mol (basis unstated)	α-Cr3Ga	1323.15	experimental	calorimetry	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 1, p. 3, row 4 report
-7.76 kJ/mol (basis unstated)	α-Cr3Ga	1323.15	experimental	calorimetry	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 1, p. 3, row 3 report
-7.25 kJ/mol (basis unstated)	β-Cr3Ga	1423.15	experimental	calorimetry	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 2, p. 3, row 1 report
-7.25 kJ/mol (basis unstated) ± 0.7	Cr3Ga (β)	298.15	experimental	Direct reaction	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 4, p. 4, row 6 report
-3.3 kJ/mol-atom	Cr3Ga	850	experimental		Cr–Ga	[2] Gröbner 1999 cites Gonchuruk 1981	Table 1, p. 2, row 42 report
-3.3 kJ/mol (basis unstated)	Cr3Ga (α)	298.15	experimental	EMF	Cr–Ga	[1] Belgacem-Bouzida 2005 cites Goncharuk 1981	Table 4, p. 4, row 1 report
-12 kJ/mol (basis unstated)	Cr3Ga (α)		model	Semi-empirical model	Cr–Ga	[1] Belgacem-Bouzida 2005 cites Djaballah 1999	Table 4, p. 4, row 3 report
-12 kJ/mol-atom	Cr3Ga	298.15	model		Cr–Ga	[2] Gröbner 1999 cites F 1988	Table 1, p. 2, row 44 report
-9.75 kJ/mol (basis unstated)	Cr3Ga (α)		model	Assessed	Cr–Ga	[1] Belgacem-Bouzida 2005 cites Grobner 1999 doi	Table 4, p. 4, row 2 report
-9.75 kJ/mol-atom	Cr3Ga	298.15	model		Cr–Ga	[2] Gröbner 1999	Table 1, p. 2, row 43 report
-8.24 kJ/mol (basis unstated)	Cr3Ga (α)		model	Assessed	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 4, p. 4, row 5 report
-6.98 kJ/mol (basis unstated)	Cr3Ga (β)		model	Assessed	Cr–Ga	[1] Belgacem-Bouzida 2005	Table 4, p. 4, row 7 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 Cr3Ga
Value	Unit	Printed	Reading	Method (class, basis)	Effective
-8.56	kJ/mol (basis unstated)		5.000e-4	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-8.1	kJ/mol (basis unstated)		5.000e-4	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-8.1	kJ/mol (basis unstated)	0.3	0.05	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-7.97	kJ/mol (basis unstated)		5.000e-4	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-7.76	kJ/mol (basis unstated)		5.000e-4	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-7.25	kJ/mol (basis unstated)		5.000e-4	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-7.25	kJ/mol (basis unstated)	0.7	0.005	12.8 (solution_reaction_calorimetry, calibrated)	12.8
-3.3	kJ/mol-atom		0.05	3.5 (unknown, calibrated)	3.5
-3.3	kJ/mol (basis unstated)		0.05	18.4 (emf, cleaned_below_threshold)	18.4
-12	kJ/mol (basis unstated)		0.5	15.6 (model_calculated, calibrated)	15.6
-12	kJ/mol-atom		0.5	3.9 (model_calculated, calibrated)	3.9
-9.75	kJ/mol (basis unstated)		0.005	15.6 (model_calculated, calibrated)	15.6
-9.75	kJ/mol-atom		0.005	3.9 (model_calculated, calibrated)	3.9
-8.24	kJ/mol (basis unstated)		0.005	15.6 (model_calculated, calibrated)	15.6
-6.98	kJ/mol (basis unstated)		0.005	15.6 (model_calculated, calibrated)	15.6

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 Cr3Ga
Source	Entry	kJ/mol-atom	eV/atom	Space group	E above hull (kJ/mol-atom)	E above hull (eV/atom)	Theoretical
Materials Project	mp-aaaaabvj	-4.035	-0.041815	Pm-3n	0.679	0.007	no
OQMD	oqmd-29544	-5.328	-0.055225	Pm-3n	0	0	no

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

A. Belgacem-Bouzida, Y. Djaballah, M. Notin, Calorimetric measurement of the intermetallic compounds Cr3Ga and CrGa4 and thermodynamic assessment of the (Cr–Ga) system, Journal of Alloys and Compounds 397, 155-160 (2005). doi:10.1016/j.jallcom.2005.01.026
J. Gröbner, R. Wenzel, G. G. Fischer, R. Schmid-Fetzer, Thermodynamic calculation of the binary systems M-Ga and investigation of ternary M-Ga-N phase equilibria (M=Ni, Co, Pd, Cr), JPE 20, 615-625 (1999). doi:10.1361/105497199770340608

Please cite

R. Arróyave, J. Saal, D. Shin, ORCHID-Values: thermodynamic and phase-equilibrium values read from the literature (version 2026.10; Version 1, machine-extracted), Zenodo (2026). doi:10.5281/zenodo.23735569
R. Arróyave, J. Saal, D. Shin, ORCHID-Parity: DFT-vs-experiment formation-enthalpy benchmark (version 2026.10; Version 1, machine-extracted), Zenodo (2026). doi:10.5281/zenodo.23735943
R. Arróyave, J. Saal, D. Shin, ORCHID data: umbrella record of the ORCHID datasets (version 2026.10; Version 1, machine-extracted), Zenodo (2026). doi:10.5281/zenodo.23736065

Also cite the original source of every value you use (paper_citation / paper_doi, and cited_dois for values the paper cites from earlier work); A. Jain et al., The Materials Project: A materials genome approach to accelerating materials innovation, APL Materials 1 (2013) 011002, https://doi.org/10.1063/1.4812323 (CC BY 4.0); J. E. Saal et al., JOM 65 (2013) 1501, https://doi.org/10.1007/s11837-013-0755-4 and S. Kirklin et al., npj Comput. Mater. 1 (2015) 15010, https://doi.org/10.1038/npjcompumats.2015.10 (CC BY 4.0); G. Kim, S. V. Meschel, P. Nash, W. Chen, Experimental formation enthalpies for intermetallic phases and other inorganic compounds, Scientific Data 4 (2017) 170162, https://doi.org/10.1038/sdata.2017.162; B. Hallstedt, The SGTE collection of binary datasets, Calphad 89 (2025) 102833, https://doi.org/10.1016/j.calphad.2025.102833 (CC BY 4.0), and the original assessment named in each file. Version 1, machine-extracted: values were read by language-model readers constrained to quote their source and checked automatically, and the release was then audited on the printed pages by adversarial audits, an independent second review of fit-facing records and a preliminary human review of a frozen sample. Flags such as accepted and ESPEI-ready record screening results, not certification; known issues are listed in the release notes.

@misc{orchid_literature_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Values: thermodynamic and phase-equilibrium values read from the literature}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735569},
  url       = {https://doi.org/10.5281/zenodo.23735569},
  note      = {Version 1, machine-extracted}
}

@misc{orchid_dft_benchmark_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Parity: DFT-vs-experiment formation-enthalpy benchmark}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735943},
  url       = {https://doi.org/10.5281/zenodo.23735943},
  note      = {Version 1, machine-extracted}
}

@misc{orchid_data_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID data: umbrella record of the ORCHID datasets}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23736065},
  url       = {https://doi.org/10.5281/zenodo.23736065},
  note      = {Version 1, machine-extracted}
}