# Mo–Nb–Re system > Mo–Nb–Re system: 27 accepted literature values (formation 18, phase equilibrium 6, invariant reaction 3) and 0 calculated phase diagram(s) from ORCHID, each value with evidence class, source, page and quote. HTML: https://data.orchid-project.org/systems/MO-NB-RE.html · Markdown: https://data.orchid-project.org/systems/MO-NB-RE.md 27 accepted literature values from 1 paper(s) (experimental 3, model 3, DFT 18, unspecified 3); 0 calculated phase diagram(s). Data: [JSON](https://data.orchid-project.org/literature/systems/MO-NB-RE.json) · [CSV](https://data.orchid-project.org/systems/MO-NB-RE.csv) · [interactive explorer](https://orchid-project.org/data-explorer/#MO-NB-RE) · [papers (bibliography)](https://data.orchid-project.org/bibliography/pages/systems/MO-NB-RE.html) · [Markdown](https://data.orchid-project.org/systems/MO-NB-RE.md) Table: Accepted values by evidence class | Evidence class | Values | |---|---:| | experimental | 3 | | model | 3 | | DFT | 18 | | unspecified | 3 | Table: Accepted values by property group | Property group | Values | |---|---:| | invariant reaction | 3 | | phase equilibrium | 6 | | formation | 18 | ## Invariant reactions (literature) Table: Invariant reactions reported in the literature for the Mo–Nb–Re system (3) | T (K) | Reaction / phases | Compositions (mole fraction) | Class | Source | Location | Quote | |---:|---|---|---|---|---|---| | 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; `ORC-NJ2DOW7KVA` | | | 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; `ORC-2CMCMWUQYG` | | | 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; `ORC-ZZO77MROTA` | | ## 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](https://data.orchid-project.org/literature/dft_parity.json). Table: Enthalpies of formation, Mo–Nb–Re system (18) | Phase | Compound | Value | T (K) | Class | MP DFT (kJ/mol-atom) | OQMD DFT (kJ/mol-atom) | Source | Location | Quote | |---|---|---:|---:|---|---:|---:|---|---|---| | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | -376.477 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 4; `ORC-LIQWT2SII7` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | -164.966 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 2; `ORC-5XM4NLNI3G` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | -145.417 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 9; `ORC-O7QAWFXP5K` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | -27.535 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 3; `ORC-AI2NGMECCA` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | 76 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 7; `ORC-E2MMDFONJT` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | 132.9 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 8; `ORC-5E5D4E2C5Q` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | 179.5 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 5; `ORC-Y7IGSRY6TA` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | 197.848 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 6; `ORC-OCCIHXOGVV` | | | σ-(Re)10(Nb,Mo,Re)4(Nb,Mo,Re)16 | | 296.3 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 1; `ORC-LLFPJ4TVP2` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | -738.19 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 11; `ORC-VKDHVDDH43` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | -519.2 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 10; `ORC-WA2NJCMZ32` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | -417.159 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 14; `ORC-UMHIOXMJUB` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | -43.9 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 17; `ORC-LN4UVOHDSE` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | 9.0625 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 18; `ORC-Q45D2IC2KR` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | 14.5517 kJ/mol-atom | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 16; `ORC-ADMBLDBHCM` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | 318 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 13; `ORC-MPTYW5ZX7J` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | 529.7 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020 | Table IV, p. 38, row 12; `ORC-JE3UORMPIC` | | | χ-(Nb,Mo,Re)10(Nb,Mo,Re)24(Re)24 | | 1100.5 kJ/mol (basis unstated) | 0 | DFT | | | [1] Yen 2020; _cites Yang 2010_ | Table IV, p. 38, row 15; `ORC-KED4HUKTRJ` | | ## Other properties ### Phase equilibrium (6) Table: Phase equilibrium, Mo–Nb–Re system | Property | Value | 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; `ORC-XRZZVJ2RNS` | “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; `ORC-CJ4DNCBLZW.aedbbb` | “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; `ORC-CJ4DNCBLZW.d64e60` | “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; `ORC-MBEWYGK7BO` | | | 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; `ORC-HOG7LV2TX6` | | | 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; `ORC-5VP3ZWPHI6` | | ## Sources Reporting papers the values were read from (a value cited from another work names that work in its row). 1. 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](https://doi.org/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). https://doi.org/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). https://doi.org/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. ```bibtex @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} } ``` --- Derived data CC BY 4.0 ([licence](https://creativecommons.org/licenses/by/4.0/)): cite ORCHID ([CITATION.cff](https://data.orchid-project.org/CITATION.cff)) and the original sources. Quotes are short excerpts kept so that each value can be checked; they remain under the publishers' copyright and are not relicensed. Source papers, page images and full text are not redistributed. Field reference: [SCHEMA.md](https://data.orchid-project.org/literature/SCHEMA.md). Machine-readable guide: [llms.txt](https://data.orchid-project.org/llms.txt). Found an error? The report link of a value (Markdown: its id, ORC-..., in the Location column) opens a pre-filled GitHub issue, https://github.com/orchid-calphad/orchid-data/issues/new?template=report-value-error.yml&record_id=\, carrying only the record id, source and value; [how to contribute](https://orchid-project.org/contribute/).