Mo5Si3: enthalpy of formation

25 accepted literature formation-enthalpy value(s) (experimental 8, model 17); experimental median -38.7 kJ/mol-atom (n = 8); Materials Project -38.65 kJ/mol-atom (mp-aaaaabzg); OQMD -38.421 kJ/mol-atom (oqmd-6653).

Systems: Mo–Si

Literature values

Enthalpy of formation of Mo5Si3 reported in the literature (25)
Value	Phase as printed	T (K)	Class	Method	System	Source	Location
-39.3 kJ/mol-atom ± 1.1	Mo5Si3	298.15	experimental	Combustion calorimetry	Mo–Si	[1] Czerny 2024 cites Tomaszkiewicz 1997	Table 8, p. 10, row 23 report
-39.2 kJ/mol-atom ± 1.5	Mo5Si3	298.15	experimental	EMF	Mo–Si	[1] Czerny 2024 cites Fujiwara 2007	Table 8, p. 10, row 16 report
-38.7 kJ/mol-atom ± 3	Mo5Si3	298.15	experimental	Exp	Mo–Si	[2] Geng 2010 cites Chart 1974 doi	Table 2, p. 6, row 2 report
-38.7 kJ/mol-atom ± 3	Mo5Si3	298.15	experimental		Mo–Si	[3] Liu 2000 cites Chart 1974 doi	Table 2, p. 6, row 11 report
-38.7 kJ/mol-atom ± 3	Mo5Si3	298.15	experimental		Mo–Si	[3] Liu 2000 cites Chart 1973	Table 2, p. 6, row 12 report
-38.62 kJ/mol-atom ± 2.09	Mo5Si3	2000	experimental		Mo–Si	[3] Liu 2000 cites Hultgren 1973	Table 2, p. 6, row 10 report
-37.813 kJ/mol-atom	Mo5Si3	298.15	experimental		Mo–Si	[3] Liu 2000 cites Barin 1989	Table 2, p. 6, row 13 report
-37.4 kJ/mol-atom ± 0.1	Mo5Si3	298.15	experimental	EMF	Mo–Si	[1] Czerny 2024 cites Ohmori 1982	Table 8, p. 10, row 32 report
-39.1725 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[3] Liu 2000 cites Costa 1994	Table 2, p. 6, row 16 report
-39.1725 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[2] Geng 2010 cites Costa 1994	Table 2, p. 6, row 7 report
-39 kJ/mol-atom	Mo5Si3	298.15	model	Assessment	Mo–Si	[1] Czerny 2024 cites Guo 2012	Table 8, p. 10, row 10 report
-39 kJ/mol-atom	Mo5Si3	298.15	model	Assessment	Mo–Si	[1] Czerny 2024 cites Geng 2010	Table 8, p. 10, row 13 report
-38.983 kJ/mol-atom	Mo5Si3	298.15	model	CALPHAD	Mo–Si	[2] Geng 2010	Table 2, p. 6, row 10 report
-38.98 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[3] Liu 2000	Table 2, p. 6, row 18 report
-38.98 kJ/mol-atom	Mo5Si3	298.15	model	CALPHAD	Mo–Si	[2] Geng 2010 cites Liu 2000 doi	Table 2, p. 6, row 9 report
-38.7 kJ/mol-atom ± 3	Mo5Si3	298.15	model		Mo–Si	[2] Geng 2010 cites Chart 1973	Table 2, p. 6, row 3 report
-38.682 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[3] Liu 2000 cites Kaufman 1997	Table 2, p. 6, row 14 report
-38.68 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[2] Geng 2010 cites Kaufman 1997	Table 2, p. 6, row 5 report
-38.62 kJ/mol-atom ± 2.09	Mo5Si3	298.15	model		Mo–Si	[2] Geng 2010 cites Hultgren 1973	Table 2, p. 6, row 1 report
-38.2 kJ/mol-atom ± 1.6	Mo5Si3	298.15	model	Assessment	Mo–Si	[1] Czerny 2024	Table 8, p. 10, row 2 report
-37.813 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[2] Geng 2010 cites Barin 1989	Table 2, p. 6, row 4 report
-37.0884 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[3] Liu 2000 cites Bai 1999	Table 2, p. 6, row 17 report
-37.0884 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[2] Geng 2010 cites Bai 1999	Table 2, p. 6, row 8 report
-37.0084 kJ/mol-atom	Mo5Si3	298.15	model		Mo–Si	[3] Liu 2000 cites Vahlas 1989 doi	Table 2, p. 6, row 15 report
-37.0084 kJ/mol-atom	Mo5Si3	298.15	model	Assessed	Mo–Si	[2] Geng 2010 cites Vahlas 1989 doi	Table 2, p. 6, 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 Mo5Si3
Value	Unit	Printed	Reading	Method (class, basis)	Effective
-39.3	kJ/mol-atom	1.1	0.05	1 (combustion_calorimetry, cleaned_below_threshold)	1.1
-39.2	kJ/mol-atom	1.5	0.05	4.6 (emf, cleaned_below_threshold)	4.6
-38.7	kJ/mol-atom	3	0.05	4.1 (experimental_unspecified, cleaned_below_threshold)	4.1
-38.7	kJ/mol-atom	3	0.05	3.5 (unknown, calibrated)	3.5
-38.7	kJ/mol-atom	3	0.05	3.5 (unknown, calibrated)	3.5
-38.62	kJ/mol-atom	2.09	0.005	3.5 (unknown, calibrated)	3.5
-37.813	kJ/mol-atom		5.000e-4	3.5 (unknown, calibrated)	3.5
-37.4	kJ/mol-atom	0.1	0.05	4.6 (emf, cleaned_below_threshold)	4.6
-39.1725	kJ/mol-atom		5.000e-5	3.9 (model_calculated, calibrated)	3.9
-39.1725	kJ/mol-atom		5.000e-5	3.9 (model_calculated, calibrated)	3.9
-39	kJ/mol-atom		0.05	3.9 (model_calculated, calibrated)	3.9
-39	kJ/mol-atom		0.05	3.9 (model_calculated, calibrated)	3.9
-38.983	kJ/mol-atom		5.000e-4	3.9 (model_calculated, calibrated)	3.9
-38.98	kJ/mol-atom		0.005	3.9 (model_calculated, calibrated)	3.9
-38.98	kJ/mol-atom		0.005	3.9 (model_calculated, calibrated)	3.9
-38.7	kJ/mol-atom	3	0.05	3.9 (model_calculated, calibrated)	3.9
-38.682	kJ/mol-atom		5.000e-4	3.9 (model_calculated, calibrated)	3.9
-38.68	kJ/mol-atom		0.005	3.9 (model_calculated, calibrated)	3.9
-38.62	kJ/mol-atom	2.09	0.005	3.9 (model_calculated, calibrated)	3.9
-38.2	kJ/mol-atom	1.6	0.05	3.9 (model_calculated, calibrated)	3.9
-37.813	kJ/mol-atom		5.000e-4	3.9 (model_calculated, calibrated)	3.9
-37.0884	kJ/mol-atom		5.000e-5	3.9 (model_calculated, calibrated)	3.9
-37.0884	kJ/mol-atom		5.000e-5	3.9 (model_calculated, calibrated)	3.9
-37.0084	kJ/mol-atom		5.000e-5	3.9 (model_calculated, calibrated)	3.9
-37.0084	kJ/mol-atom		5.000e-5	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 Mo5Si3
Source	Entry	kJ/mol-atom	eV/atom	Space group	E above hull (kJ/mol-atom)	E above hull (eV/atom)	Theoretical
Materials Project	mp-aaaaabzg	-38.65	-0.400579	I4/mcm	0	0	no
OQMD	oqmd-6653	-38.421	-0.398205	I4/mcm	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

Andreas Klaus Czerny, Wenhao Ma, Clemens Simon Hausner, Peter Franke, Magnus Rohde, Hans Jürgen Seifert, Thermodynamic Assessment of the Mo–Si System, Adv Eng Mater 26 (2024). doi:10.1002/adem.202302085
Tai Geng, Changrong Li, Xinqing Zhao, Huibin Xu, Zhenmin Du, Cuiping Guo, Thermodynamic assessment of the Nb–Si–Mo system, Calphad 34, 363-376 (2010). doi:10.1016/j.calphad.2010.07.003
Y Liu, G Shao, P Tsakiropoulos, Thermodynamic reassessment of the Mo–Si and Al–Mo–Si systems, Intermetallics 8, 953-962 (2000). doi:10.1016/s0966-9795(00)00068-6

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}
}