# Al–Co–Cr system

> Al–Co–Cr system: 62 accepted literature values (formation 39, mixing / partial 23) and 0 calculated phase diagram(s) from ORCHID, each value with evidence class, source, page and quote.

HTML: https://data.orchid-project.org/systems/AL-CO-CR.html · Markdown: https://data.orchid-project.org/systems/AL-CO-CR.md

62 accepted literature values from 2 paper(s) (model 39, DFT 23); 0 calculated phase diagram(s).

Data: [JSON](https://data.orchid-project.org/literature/systems/AL-CO-CR.json) · [CSV](https://data.orchid-project.org/systems/AL-CO-CR.csv) · [interactive explorer](https://orchid-project.org/data-explorer/#AL-CO-CR) · [papers (bibliography)](https://data.orchid-project.org/bibliography/pages/systems/AL-CO-CR.html) · [Markdown](https://data.orchid-project.org/systems/AL-CO-CR.md)

Table: Accepted values by evidence class

| Evidence class | Values |
|---|---:|
| model | 39 |
| DFT | 23 |

Table: Accepted values by property group

| Property group | Values |
|---|---:|
| formation | 39 |
| mixing / partial | 23 |

## 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, Al–Co–Cr system (22)

| Phase | Compound | Value | T (K) | Class | MP DFT (kJ/mol-atom) | OQMD DFT (kJ/mol-atom) | Source | Location | Quote |
|---|---|---:|---:|---|---:|---:|---|---|---|
| B2 |  | -66.89 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 1; `ORC-A56XCGR3UA.0bea3c` |  |
| B2 |  | -64.45 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015; _cites ref. 64_ | Table 3, p. 12, row 2; `ORC-XPEFVKPK74.c1b837` |  |
| B2 |  | -57.67 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 1; `ORC-A56XCGR3UA.db2099` |  |
| B2 |  | -7.37 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 4; `ORC-D4TMGMIIGU.266a37` |  |
| B2 |  | -2.78 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 4; `ORC-D4TMGMIIGU.d59e3f` |  |
| B2 |  | 11.98 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 3; `ORC-6ZPHL2KE5N.6ccd9c` |  |
| B2 |  | 16.6 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 3; `ORC-6ZPHL2KE5N.88e6a0` |  |
| σ |  | -30.56 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 5; `ORC-BP4LYNPRPG.c91f62` |  |
| σ |  | -24.58 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 5; `ORC-BP4LYNPRPG.8f92a7` |  |
| σ |  | -18.93 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 6; `ORC-F45VUURWNH.aeedd9` |  |
| σ |  | -13.39 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 6; `ORC-F45VUURWNH.43562a` |  |
| σ |  | 1.84 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 14; `ORC-VZ6VKIEDTW.38423f` |  |
| σ |  | 3.6 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 7; `ORC-FDVAJ7EVME.ef0445` |  |
| σ |  | 5.72 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 10; `ORC-PQ3ZNUNUHC.a8bb15` |  |
| σ |  | 5.73 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 13; `ORC-PQQ2QQBUGE.c799d0` |  |
| σ |  | 6.19 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 10; `ORC-PQ3ZNUNUHC.292d79` |  |
| σ |  | 6.2 kJ/mol-atom | 0 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 11; `ORC-3QECGWXG4A` |  |
| σ |  | 8.39 kJ/mol-atom | 0 | model |  |  | [1] Liu 2015; _cites ref. 65_ | Table 3, p. 12, row 12; `ORC-43M2CSO3ME` |  |
| σ |  | 9.62 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 7; `ORC-FDVAJ7EVME.a99d04` |  |
| σ |  | 9.84 kJ/mol-atom | 0 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 8; `ORC-KA5JFLRNRP` |  |
| σ |  | 11.24 kJ/mol-atom | 298.15 | model |  |  | [1] Liu 2015 | Table 3, p. 12, row 13; `ORC-PQQ2QQBUGE.23da46` |  |
| σ |  | 11.65 kJ/mol-atom | 0 | model |  |  | [1] Liu 2015; _cites ref. 65_ | Table 3, p. 12, row 9; `ORC-7GBVQ2CDNY` |  |

## Other properties

### Formation (17)

Table: Formation, Al–Co–Cr system

| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---:|---:|---|---|---|---|---|
| Entropy of formation; _printed: ΔfS (SER)_ | 1.03 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015 | Table 3, p. 12, row 3; `ORC-6ZPHL2KE5N.2d8fc7` |  |
| Entropy of formation; _printed: ΔfS_ | -1.73 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015 | Table 3, p. 12, row 3; `ORC-6ZPHL2KE5N.3c651e` |  |
| Entropy of formation; _printed: ΔfS_ | -13.73 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015 | Table 3, p. 12, row 1; `ORC-A56XCGR3UA.36c25c` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | -8.23 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015 | Table 3, p. 12, row 1; `ORC-A56XCGR3UA.b3d46f` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | -6.45 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015 | Table 3, p. 12, row 4; `ORC-D4TMGMIIGU.9a2ffb` |  |
| Entropy of formation; _printed: ΔfS_ | -9.18 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015 | Table 3, p. 12, row 4; `ORC-D4TMGMIIGU.b39a95` |  |
| Entropy of formation; _printed: ΔfS_ | -11.43 J/mol (basis unstated)/K | 298.15 | B2 | model | [1] Liu 2015; _cites ref. 64_ | Table 3, p. 12, row 2; `ORC-XPEFVKPK74.1478ac` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | -4.05 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 5; `ORC-BP4LYNPRPG.150b06` |  |
| Entropy of formation; _printed: ΔfS_ | -7.33 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 5; `ORC-BP4LYNPRPG.30e520` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | -1.13 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 6; `ORC-F45VUURWNH.215f5a` |  |
| Entropy of formation; _printed: ΔfS_ | -4.44 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 6; `ORC-F45VUURWNH.60f770` |  |
| Entropy of formation; _printed: ΔfS_ | 0.28 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 7; `ORC-FDVAJ7EVME.27194f` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | 3.6 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 7; `ORC-FDVAJ7EVME.3ae20a` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | 0.16 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 10; `ORC-PQ3ZNUNUHC.2019be` |  |
| Entropy of formation; _printed: ΔfS (SER)_ | -2.74 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 13; `ORC-PQQ2QQBUGE.10a906` |  |
| Entropy of formation; _printed: ΔfS_ | -6.02 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 13; `ORC-PQQ2QQBUGE.c5f5d9` |  |
| Entropy of formation; _printed: ΔfS_ | -3.32 J/mol (basis unstated)/K | 298.15 | σ | model | [1] Liu 2015 | Table 3, p. 12, row 14; `ORC-VZ6VKIEDTW.7cd93b` |  |

### Mixing / partial (23)

Table: Mixing / partial, Al–Co–Cr system

| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---:|---:|---|---|---|---|---|
| Enthalpy of mixing; _printed: ΔHmix_ | -7.86 kJ/mol-atom | 0 | A2; _alloy: Al 0.33, Co 0.33, Cr 0.33_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 13; `ORC-66QDO5IYIG` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -6.69 kJ/mol-atom | 0 | A2; _alloy: Al 0.25, Co 0.5, Cr 0.25_ | DFT | [2] Liu 2016; _cites Al11Cr2_ | Table 6, p. 40, row 20; `ORC-IBSKNDGRRP` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -9.36 kJ/mol-atom | 0 | A2; _alloy: Al 0.5, Co 0.25, Cr 0.25_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 10; `ORC-L4FSTSSWWM` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -1.17 kJ/mol-atom | 0 | A2; _alloy: Al 0.25, Co 0.25, Cr 0.5_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 12; `ORC-LBNVYX7MKG` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -0.86 kJ/mol-atom | 0 | A2; _alloy: Al 0.25, Co 0.25, Cr 0.5_ | DFT | [2] Liu 2016; _cites Al11Cr2_ | Table 6, p. 40, row 21; `ORC-NDOLAYVXSJ` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -6.86 kJ/mol-atom | 0 | A2; _alloy: Al 0.25, Co 0.5, Cr 0.25_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 11; `ORC-OVPAV4MJMS` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -9.42 kJ/mol-atom | 0 | A2; _alloy: Al 0.5, Co 0.25, Cr 0.25_ | DFT | [2] Liu 2016; _cites Al11Cr2_ | Table 6, p. 40, row 19; `ORC-WBOOZVXCOC` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -49.54 kJ/mol-atom | 0 | B2; _alloy: Al 0.5, Co 0.375, Cr 0.125_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 25; `ORC-65JDHAPWG3` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -9.96 kJ/mol-atom | 0 | B2; _alloy: Al 0.125, Co 0.5, Cr 0.375_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 17; `ORC-6G3EKW4XCM` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | 8.22 kJ/mol-atom | 0 | B2; _alloy: Al 0.25, Co 0.25, Cr 0.5_ | DFT | [2] Liu 2016; _cites Al11Cr2_ | Table 8, p. 42, row 8; `ORC-ETQBOKQB6J` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -18.49 kJ/mol-atom | 0 | B2; _alloy: Al 0.5, Co 0.125, Cr 0.375_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 23; `ORC-F6V7ZTZOXE` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -32.77 kJ/mol-atom | 0 | B2; _alloy: Al 0.5, Co 0.25, Cr 0.25_ | DFT | [2] Liu 2016; _cites Al11Cr2_ | Table 8, p. 42, row 2; `ORC-FDLGVQJ6A5` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -27.2 kJ/mol-atom | 0 | B2; _alloy: Al 0.25, Co 0.5, Cr 0.25_ | DFT | [2] Liu 2016; _cites Al11Cr2_ | Table 8, p. 42, row 5; `ORC-FG2VAFTS5I` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | 8.22 kJ/mol-atom | 0 | B2; _alloy: Al 0.25, Co 0.25, Cr 0.5_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 20; `ORC-IGICY273VQ` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -32.77 kJ/mol-atom | 0 | B2; _alloy: Al 0.5, Co 0.25, Cr 0.25_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 24; `ORC-LMPO46BMIF` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -47.66 kJ/mol-atom | 0 | B2; _alloy: Al 0.375, Co 0.5, Cr 0.125_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 15; `ORC-MVK4ZWOCGE` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -27.2 kJ/mol-atom | 0 | B2; _alloy: Al 0.25, Co 0.5, Cr 0.25_ | DFT | [1] Liu 2015 | Table 4, p. 13, row 16; `ORC-UT62E76MOR` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -11.66 kJ/mol-atom | 0 | γ; _alloy: Al 0.5, Co 0.25, Cr 0.25_ | DFT | [2] Liu 2016 | Table 7, p. 41, row 19; `ORC-PWPIZMRW2O` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -11.39 kJ/mol-atom | 0 | γ; _alloy: Al 0.25, Co 0.5, Cr 0.25_ | DFT | [2] Liu 2016 | Table 7, p. 41, row 20; `ORC-SHRYIPOXBJ` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -18.06 kJ/mol-atom | 0 | γ; _alloy: Al 0.25, Co 0.25, Cr 0.5_ | DFT | [2] Liu 2016 | Table 7, p. 41, row 21; `ORC-YNUBAUOYL6` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -25.57 kJ/mol-atom | 0 | γ’; _alloy: Al 0.375, Co 0.25, Cr 0.375_ | DFT | [2] Liu 2016 | Table 9, p. 43, row 5; `ORC-4EP7XRAXPS` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -12.37 kJ/mol-atom | 0 | γ’; _alloy: Al 0.25, Co 0.375, Cr 0.375_ | DFT | [2] Liu 2016 | Table 9, p. 43, row 2; `ORC-E3SGIIH26O` |  |
| Enthalpy of mixing; _printed: ΔHmix_ | -14.04 kJ/mol-atom | 0 | γ’; _alloy: Al 0.375, Co 0.375, Cr 0.25_ | DFT | [2] Liu 2016 | Table 9, p. 43, row 8; `ORC-ZDUO6PKZ3H` |  |

## Sources

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

1. Xuan L. Liu, Thomas Gheno, Bonnie B. Lindahl, Greta Lindwall, Brian Gleeson, Zi-Kui Liu, First-Principles Calculations, Experimental Study, and Thermodynamic Modeling of the Al-Co-Cr System, PLoS ONE 10, e0121386 (2015). [doi:10.1371/journal.pone.0121386](https://doi.org/10.1371/journal.pone.0121386)
2. Xuan L. Liu, Greta Lindwall, Thomas Gheno, Zi-Kui Liu, Thermodynamic modeling of Al–Co–Cr, Al–Co–Ni, Co–Cr–Ni ternary systems towards a description for Al–Co–Cr–Ni, Calphad 52, 125-142 (2016). [doi:10.1016/j.calphad.2015.12.007](https://doi.org/10.1016/j.calphad.2015.12.007)

## 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=\<id>, carrying only the record id, source and value; [how to contribute](https://orchid-project.org/contribute/).