# Ni5Sc: enthalpy of formation

> Enthalpy of formation of Ni5Sc: 8 literature value(s) with sources, pages and quotes and DFT values (Materials Project / OQMD), from ORCHID.

HTML: https://data.orchid-project.org/compounds/Ni5Sc.html · Markdown: https://data.orchid-project.org/compounds/Ni5Sc.md

8 accepted literature formation-enthalpy value(s) (model 8); Materials Project -27.346 kJ/mol-atom (mp-aaabgmez); OQMD -27.824 kJ/mol-atom (oqmd-17797).

Systems: [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html)

## Literature values

Table: Enthalpy of formation of Ni5Sc reported in the literature (8)

| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---:|---|---:|---|---|---|---|---|---|
| -29 kJ/mol-atom | ScNi5 | 298.15 | model | Miedema model | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [1] Zhu 2015; _cites F 1988_ | Table 2, p. 3, row 1; `ORC-BK4KY6MHPZ` |  |
| -29 kJ/mol-atom | Ni5Sc | 298.15 | model | Prediction (Miedema model) | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [2] Kardellass 2013; _cites F 1988_ | Table 2, p. 3, row 1; `ORC-DHPK4YDPCE` |  |
| -20.614 kJ/mol-atom | ScNi5 | 298.15 | model | Associate model | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [1] Zhu 2015 | Table 2, p. 3, row 4; `ORC-L77DXQBRRR` |  |
| -19.6 kJ/mol-atom | Ni5Sc | 298.15 | model | Optimization | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [2] Kardellass 2013 | Table 2, p. 3, row 3; `ORC-KA5GZCZRKW` |  |
| -19.126 kJ/mol-atom | Ni5Sc | 298.15 | model | Optimization | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [2] Kardellass 2013 | Table 2, p. 3, row 2; `ORC-INRSDO6QD3` |  |
| -18.068 kJ/mol-atom | ScNi5 | 298.15 | model | Kaptay model | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [1] Zhu 2015; _cites Kardellass 2013_ [doi](https://doi.org/10.1016/j.calphad.2013.07.003) | Table 2, p. 3, row 3; `ORC-F23W55EJSX` |  |
| -17.594 kJ/mol-atom | ScNi5 | 298.15 | model | Redich–Kister model | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [1] Zhu 2015; _cites Kardellass 2013_ [doi](https://doi.org/10.1016/j.calphad.2013.07.003) | Table 2, p. 3, row 2; `ORC-3Q4K5H25TX` |  |
| -17.59 kJ/mol-atom | Ni5Sc | 298.15 | model | Optimization | [Ni–Sc](https://data.orchid-project.org/systems/NI-SC.html) | [3] Kardellass 2016; _cites Kardellass 2013_ [doi](https://doi.org/10.1016/j.calphad.2013.07.003) | Table 4, p. 7, row 7; `ORC-AFNC2EO2GD.d0c688` |  |

### Uncertainty budget

Components kept separate, in the value's unit (literature [SCHEMA.md](https://data.orchid-project.org/literature/SCHEMA.md), [UNCERTAINTY_CALIBRATION.md](https://data.orchid-project.org/literature/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.

Table: Uncertainty budget of the literature values of Ni5Sc

| Value | Unit | Printed | Reading | Method (class, basis) | Composition | Scatter | Conversion | Effective |
|---:|---|---:|---:|---|---:|---:|---:|---:|
| -29 | kJ/mol-atom |  | 0.5 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -29 | kJ/mol-atom |  | 0.5 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -20.614 | kJ/mol-atom |  | 5.000e-4 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -19.6 | kJ/mol-atom |  | 0.05 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -19.126 | kJ/mol-atom |  | 5.000e-4 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -18.068 | kJ/mol-atom |  | 5.000e-4 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -17.594 | kJ/mol-atom |  | 5.000e-4 | 3.9 (model_calculated, calibrated) |  |  |  | 3.9 |
| -17.59 | kJ/mol-atom |  | 0.005 | 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.

Table: DFT formation energy of Ni5Sc

| Source | Entry | kJ/mol-atom | eV/atom | Space group | E above hull (kJ/mol-atom) | E above hull (eV/atom) | Theoretical |
|---|---|---:|---:|---|---:|---:|---|
| Materials Project | mp-aaabgmez | -27.346 | -0.283421 | P6/mmm | 0.8224 | 0.0085 | no |
| OQMD | oqmd-17797 | -27.824 | -0.288381 | Cmmm | 1.83 | 0.019 | 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](https://doi.org/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](https://doi.org/10.1007/s11837-013-0755-4) (CC BY 4.0); 

## Sources

1. Daiman Zhu, Changrong Li, Cuiping Guo, Zhenmin Du, Junqin Li, Thermodynamic assessment of the Ni–Sc binary system, Calphad 48, 106-112 (2015). [doi:10.1016/j.calphad.2014.11.005](https://doi.org/10.1016/j.calphad.2014.11.005)
2. S. Kardellass, C. Servant, N. Selhaoui, A. Iddaoudi, M. Ait Amar, L. Bouirden, Thermodynamic description of the Ni–Sc system, Calphad 42, 59-65 (2013). [doi:10.1016/j.calphad.2013.07.003](https://doi.org/10.1016/j.calphad.2013.07.003)
3. Saïd Kardellass, Colette Servant, Najim Selhaoui, Thermodynamic description of the Ni–Yb and Ni–Eu binary systems, J Therm Anal Calorim 125, 255-269 (2016). [doi:10.1007/s10973-016-5380-3](https://doi.org/10.1007/s10973-016-5380-3)

## 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-Parity: DFT-vs-experiment formation-enthalpy benchmark (version 2026.10; Version 1, machine-extracted), Zenodo (2026). https://doi.org/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). 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); 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.

```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_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}
}
```

---

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/).
