Cr5Si3: enthalpy of formation

7 accepted literature formation-enthalpy value(s) (experimental 2, model 5); experimental median -41 kJ/mol-atom (n = 1); Materials Project -27.079 kJ/mol-atom (mp-aaaaalcs); OQMD -29.969 kJ/mol-atom (oqmd-3178).

Systems: Cr–Si

Literature values

Enthalpy of formation of Cr5Si3 reported in the literature (7)
Value	Phase as printed	T (K)	Class	System	Source	Location
-41 kJ/mol-atom	Cr5Si3	298.15	experimental	Cr–Si	[1] Coughanowr 1994 cites ref. 61Gol2	Table 6, p. 14, row 5 report
-33.6 per mol-atom ± 1000	αCr5Si3	298.15	experimental	Cr–Si	[2] Du 2000 cites Meschel 1998 doi	Table 4, p. 4, row 4 report
-32.9 kJ/mol-atom	Cr5Si3		model	Cr–Si	[1] Coughanowr 1994	Table 6, p. 14, row 8 report
-32.57 kJ/mol-atom	Cr5Si3		model	Cr–Si	[1] Coughanowr 1994	Table 6, p. 14, row 6 report
-32.57 per mol-atom	αCr5Si3	298.15	model	Cr–Si	[2] Du 2000 cites Coughanowr 1994 doi	Table 4, p. 4, row 6 report
-32.525 per mol-atom	αCr5Si3	298.15	model	Cr–Si	[2] Du 2000	Table 4, p. 4, row 5 report
-32.52 kJ/mol-atom	Cr5Si3		model	Cr–Si	[1] Coughanowr 1994	Table 6, p. 14, 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 Cr5Si3
Value	Unit	Printed	Reading	Method (class, basis)	Effective
-41	kJ/mol-atom		0.00625	3.5 (unknown, calibrated)	3.5
-33.6	per mol-atom	1000	5.000e-4	unit 'per mol-atom' not convertible to kJ/mol-atom	1000
-32.9	kJ/mol-atom		0.00625	3.9 (model_calculated, calibrated)	3.9
-32.57	kJ/mol-atom		6.250e-4	3.9 (model_calculated, calibrated)	3.9
-32.57	per mol-atom		5.000e-4	unit 'per mol-atom' not convertible to kJ/mol-atom	unit 'per mol-atom' not convertible to kJ/mol-atom
-32.525	per mol-atom		5.000e-4	unit 'per mol-atom' not convertible to kJ/mol-atom	unit 'per mol-atom' not convertible to kJ/mol-atom
-32.52	kJ/mol-atom		6.250e-4	3.9 (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 Cr5Si3
Source	Entry	kJ/mol-atom	eV/atom	Space group	E above hull (kJ/mol-atom)	E above hull (eV/atom)	Theoretical
Materials Project	mp-aaaaalcs	-27.079	-0.280651	I4/mcm	4.1347	0.0429	no
OQMD	oqmd-3178	-29.969	-0.310608	I4/mcm	5.2055	0.054	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

Corinne A. Coughanowr, Ibrahim Ansara, Hans Leo Lukas, Assessment of the CrSi System, Calphad 18, 125-140 (1994). doi:10.1016/0364-5916(94)90023-x
Yong Du, Julius C. Schuster, Experimental reinvestigation of the CrSi-Si partial system and update of the thermodynamic description of the entire Cr-Si system, JPE 21, 281-286 (2000). doi:10.1361/105497100770340066

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}
}