Mo–Nb–Re system

27 accepted literature values from 1 paper(s) (experimental 3, model 3, DFT 18, unspecified 3); 0 calculated phase diagram(s).

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Accepted values by evidence class
Evidence class	Values
experimental	3
model	3
DFT	18
unspecified	3

Accepted values by property group
Property group	Values
invariant reaction	3
phase equilibrium	6
formation	18

Invariant reactions (literature)

Invariant reactions reported in the literature for the Mo–Nb–Re system (3)
T (K)	Reaction / phases	Compositions (mole fraction)	Class	Source	Location
3115.7	Liquid + σ -> hcp + χ	L: Nb 0.092, Re 0.861; Liquid: Nb 0.092, Re 0.861	model	[1] Yen 2020	Table IX, p. 44, row 1 report
3009.5	Liquid + σ -> bcc + χ	L: Nb 0.34, Re 0.467; Liquid: Nb 0.34, Re 0.467	model	[1] Yen 2020	Table IX, p. 44, row 2 report
2790.9	Liquid + χ -> bcc + σ	L: Nb 0.5, Re 0.484; Liquid: Nb 0.5, Re 0.484	model	[1] Yen 2020	Table IX, p. 44, row 3 report

Formation enthalpies

Literature values in kJ/mol-atom where the per-atom basis is known. DFT columns: the lowest-energy entry at the same composition (Materials Project 2026.04.13, OQMD v1.8; different energy references, never averaged), from dft_parity.json.

Enthalpies of formation, Mo–Nb–Re system (18)
Phase	Value	Class	Source	Location
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	-376.477 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 4 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	-164.966 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 2 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	-145.417 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 9 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	-27.535 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 3 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	76 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 7 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	132.9 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 8 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	179.5 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 5 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	197.848 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 6 report
σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16	296.3 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 1 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	-738.19 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 11 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	-519.2 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 10 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	-417.159 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 14 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	-43.9 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 17 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	9.0625 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 18 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	14.5517 kJ/mol-atom	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 16 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	318 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 13 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	529.7 kJ/mol (basis unstated)	DFT	[1] Yen 2020	Table IV, p. 38, row 12 report
χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24	1100.5 kJ/mol (basis unstated)	DFT	[1] Yen 2020 cites Yang 2010	Table IV, p. 38, row 15 report

Other properties

Phase equilibrium (6)

Phase equilibrium, Mo–Nb–Re system
Property	T (K)	Phases / composition	Class	Source	Location	Quote
Phase assemblage	1973	χ + bcc alloy: Nb 0.172, Re 0.516	experimental	[1] Yen 2020	p. 21 report	Therefore, we chose to investigate the Mo-Nb-Re alloy with a nominal composition within this tie-triangle, i.e., Mo-17.2 at.%Nb-51.6 at.%Re, equilibrated at the same temperature (1973K) for verification. However, as shown in the BSE micrograph and the XRD pattern (Figs. 3 (a) and (b), respectively), a two-phase equilibrium between the χ and bcc phases was found, which is contradictory to the data…
Phase assemblage	2173	χ + bcc alloy: Nb 0.172, Re 0.516	experimental	[1] Yen 2020	p. 21 report	As expected, the one at the highest annealing temperature (2373K) showed the best crystallinity and the most coarsened grain structure. Nevertheless, Similar to that at 1973K, the χ + bcc two-phase equilibrium was observed at both 2173 and 2373K. As summarized in Table V, the average composition of the χ phase does not change much among the three temperature, ranging from Mo-15.5 at.%Nb-63.9 at.%…
Phase assemblage	2373	χ + bcc alloy: Nb 0.172, Re 0.516	experimental	[1] Yen 2020	p. 21 report	As summarized in Table V, the average composition of the χ phase does not change much among the three temperature, ranging from Mo-15.5 at.%Nb-63.9 at.%Re to Mo13.9 at.%Nb-63.1 at.%Re. On the other hand, the contents of the bcc phase show a clear trend between 1973 and 2373K. The average composition of the bcc phase varies from Mo-19.3 at.%Nb34.8 at.%Re to Mo-18.8. at.%Nb-37.5 at.%Re and Mo-17.5…
Phase composition	1973	bcc + χ bcc: Mo 0.459, Nb 0.193, Re 0.348; χ: Mo 0.206, Nb 0.155, Re 0.639	unspecified	[1] Yen 2020	Table V, p. 39, row 1 report
Phase composition	2173	bcc + χ bcc: Mo 0.437, Nb 0.188, Re 0.375; χ: Mo 0.212, Nb 0.155, Re 0.633	unspecified	[1] Yen 2020	Table V, p. 39, row 2 report
Phase composition	2373	bcc + χ bcc: Mo 0.433, Nb 0.175, Re 0.392; χ: Mo 0.23, Nb 0.139, Re 0.631	unspecified	[1] Yen 2020	Table V, p. 39, row 3 report

Sources

Reporting papers the values were read from (a value cited from another work names that work in its row).

Shao-yu Yen, Shu-chang Wu, M. Anshar Makhraja, Kai-chi Lo, An-chou Yeh, Kyosuke Yoshimi et al., Phase equilibria and thermodynamic assessment of the Mo–Nb-Re ternary system, Calphad 70, 101797 (2020). doi:10.1016/j.calphad.2020.101797

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 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); 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; 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). 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_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}
}