# Bi–Pr system > Bi–Pr system: 29 accepted literature values (formation 17, invariant reaction 12) and 0 calculated phase diagram(s) from ORCHID, each value with evidence class, source, page and quote. HTML: https://data.orchid-project.org/systems/BI-PR.html · Markdown: https://data.orchid-project.org/systems/BI-PR.md 29 accepted literature values from 1 paper(s) (experimental 6, model 23); 0 calculated phase diagram(s). 6 further extracted value(s) not accepted by the reader-agreement checks are only in the JSON/CSV. Data: [JSON](https://data.orchid-project.org/literature/systems/BI-PR.json) · [CSV](https://data.orchid-project.org/systems/BI-PR.csv) · [interactive explorer](https://orchid-project.org/data-explorer/#BI-PR) · [papers (bibliography)](https://data.orchid-project.org/bibliography/pages/systems/BI-PR.html) · [Markdown](https://data.orchid-project.org/systems/BI-PR.md) Table: Accepted values by evidence class | Evidence class | Values | |---|---:| | experimental | 6 | | model | 23 | Table: Accepted values by property group | Property group | Values | |---|---:| | invariant reaction | 12 | | formation | 17 | Convex hulls: [Materials Project DFT hull](https://data.orchid-project.org/hulls/dft-mp/BI/BI-PR.json) · [OQMD DFT hull](https://data.orchid-project.org/hulls/dft-oqmd/BI/BI-PR.json) ## Invariant reactions (literature) Table: Invariant reactions reported in the literature for the Bi–Pr system (12) | T (K) | Reaction / phases | Compositions (mole fraction) | Class | Source | Location | Quote | |---:|---|---|---|---|---|---| | 1923 | peritectic: L + PrBi -> Pr4Bi3 | L: Pr 0.61 | experimental | [1] Wang 2017; _cites William 1976_ | Table 1, p. 4, row 5; `ORC-A2ZBRJRMSF` | | | 1922 | peritectic: L + PrBi -> Pr4Bi3 | L: Pr 0.6137 | model | [1] Wang 2017 | Table 1, p. 4, row 6; `ORC-FG6PKOTNX6` | | | 1773 | peritectic: L + PrBi -> PrBi2 | L: Pr 0.3 | experimental | [1] Wang 2017; _cites William 1976_ | Table 1, p. 4, row 3; `ORC-42JJAVZ7VC` | | | 1771 | peritectic: L + PrBi -> PrBi2 | L: Pr 0.3031 | model | [1] Wang 2017 | Table 1, p. 4, row 4; `ORC-Q2CNUDX4BW` | | | 1499 | peritectic: L + Pr4Bi3 -> Pr5Bi3 | L: Pr 0.7851 | model | [1] Wang 2017 | Table 1, p. 4, row 8; `ORC-ZLDPLL77VF` | | | 1498 | peritectic: L + Pr4Bi3 -> Pr5Bi3 | L: Pr 0.78 | experimental | [1] Wang 2017; _cites William 1976_ | Table 1, p. 4, row 7; `ORC-M3CZGMHCFZ` | | | 1375 | peritectic: L + Pr5Bi3 -> Pr2Bi | L: Pr 0.841 | model | [1] Wang 2017 | Table 1, p. 4, row 10; `ORC-4C5QQPBXGM` | | | 1373 | peritectic: L + Pr5Bi3 -> Pr2Bi | L: Pr 0.83 | experimental | [1] Wang 2017; _cites William 1976_ | Table 1, p. 4, row 9; `ORC-F6SNIQB5N2` | | | 1168 | eutectic: L -> Pr2Bi + BCC_A2 (Pr) | L: Pr 0.973 | model | [1] Wang 2017 | Table 1, p. 4, row 12; `ORC-YW4P6PMD7Q` | | | 1167 | eutectic: L -> Pr2Bi + BCC_A2 (Pr) | L: Pr 0.97 | experimental | [1] Wang 2017; _cites Griffin 1971_ [doi](https://doi.org/10.1007/bf02814890) | Table 1, p. 4, row 11; `ORC-V3TGCPGL6L` | | | 544.5 | eutectic: L -> rhombohedral (Bi) + PrBi2 | L: Pr 5.000e-6 | model | [1] Wang 2017 | Table 1, p. 4, row 2; `ORC-LBYW7HK5IS` | | | 544 | eutectic: L -> rhombohedral (Bi) + PrBi2 | L: Pr 0 | experimental | [1] Wang 2017; _cites William 1976_ | Table 1, p. 4, row 1; `ORC-KCX752R7UF` | | ## 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, Bi–Pr system (12) | Phase | Compound | Value | T (K) | Class | MP DFT (kJ/mol-atom) | OQMD DFT (kJ/mol-atom) | Source | Location | Quote | |---|---|---:|---:|---|---:|---:|---|---|---| | Pr2Bi | [BiPr2](https://data.orchid-project.org/compounds/BiPr2.html) | -81.4 kJ/mol-atom | | model | -65.513 (mp-aaacjiiz) | -67.371 (oqmd-28762) | [1] Wang 2017 | Table 7, p. 6, row 12; `ORC-TXW5NO6YMS.154e5f` | | | Pr2Bi | [BiPr2](https://data.orchid-project.org/compounds/BiPr2.html) | -81 kJ/mol-atom | | model | -65.513 (mp-aaacjiiz) | -67.371 (oqmd-28762) | [1] Wang 2017; _cites Colinet 1984_ [doi](https://doi.org/10.1016/0022-5088%2884%2990320-5) | Table 7, p. 6, row 11; `ORC-OSJNZ5NJFP.b897c6` | | | Pr4Bi3 | [Bi3Pr4](https://data.orchid-project.org/compounds/Bi3Pr4.html) | -94 kJ/mol-atom | | model | -81.229 (mp-aaaabims) | -83.262 (oqmd-28760) | [1] Wang 2017; _cites Borsese 1975_ [doi](https://doi.org/10.1016/0040-6031%2875%2980024-4) | Table 7, p. 6, row 7; `ORC-5ZXYBMGTJQ.24b63f` | | | Pr4Bi3 | [Bi3Pr4](https://data.orchid-project.org/compounds/Bi3Pr4.html) | -94 kJ/mol-atom | | model | -81.229 (mp-aaaabims) | -83.262 (oqmd-28760) | [1] Wang 2017; _cites Colinet 1984_ [doi](https://doi.org/10.1016/0022-5088%2884%2990320-5) | Table 7, p. 6, row 6; `ORC-GTBFCTYUGK.79bcb6` | | | Pr4Bi3 | [Bi3Pr4](https://data.orchid-project.org/compounds/Bi3Pr4.html) | -92.877 kJ/mol-atom | | model | -81.229 (mp-aaaabims) | -83.262 (oqmd-28760) | [1] Wang 2017 | Table 7, p. 6, row 8; `ORC-JKT3WHXMN5.8c3526` | | | Pr5Bi3 | [Bi3Pr5](https://data.orchid-project.org/compounds/Bi3Pr5.html) | -88.136 kJ/mol-atom | | model | -75.072 (mp-aaackxlc) | -77.405 (oqmd-28761) | [1] Wang 2017 | Table 7, p. 6, row 10; `ORC-HG25SSGH2U.323afa` | | | Pr5Bi3 | [Bi3Pr5](https://data.orchid-project.org/compounds/Bi3Pr5.html) | -88 kJ/mol-atom | | model | -75.072 (mp-aaackxlc) | -77.405 (oqmd-28761) | [1] Wang 2017; _cites Colinet 1984_ [doi](https://doi.org/10.1016/0022-5088%2884%2990320-5) | Table 7, p. 6, row 9; `ORC-4CMH7Y3H54.d1dc2c` | | | PrBi | [BiPr](https://data.orchid-project.org/compounds/BiPr.html) | -100 kJ/mol-atom | | model | -91.857 (mp-aaaabihf) | -94.633 (oqmd-1926331) | [1] Wang 2017; _cites Borsese 1975_ [doi](https://doi.org/10.1016/0040-6031%2875%2980024-4) | Table 7, p. 6, row 4; `ORC-D4ICXWIL6F.98e2f2` | | | PrBi | [BiPr](https://data.orchid-project.org/compounds/BiPr.html) | -97.649 kJ/mol-atom | | model | -91.857 (mp-aaaabihf) | -94.633 (oqmd-1926331) | [1] Wang 2017 | Table 7, p. 6, row 5; `ORC-M6HLMDXRDA.6f03c3` | | | PrBi | [BiPr](https://data.orchid-project.org/compounds/BiPr.html) | -97 kJ/mol-atom | | model | -91.857 (mp-aaaabihf) | -94.633 (oqmd-1926331) | [1] Wang 2017; _cites Colinet 1984_ [doi](https://doi.org/10.1016/0022-5088%2884%2990320-5) | Table 7, p. 6, row 3; `ORC-SKRJI24TSA.7fcaeb` | | | PrBi2 | [Bi2Pr](https://data.orchid-project.org/compounds/Bi2Pr.html) | -79 kJ/mol-atom | | model | | -64.412 (oqmd-1368767) | [1] Wang 2017; _cites Colinet 1984_ [doi](https://doi.org/10.1016/0022-5088%2884%2990320-5) | Table 7, p. 6, row 1; `ORC-YL7O5PX7HP.45e912` | | | PrBi2 | [Bi2Pr](https://data.orchid-project.org/compounds/Bi2Pr.html) | -78.698 kJ/mol-atom | | model | | -64.412 (oqmd-1368767) | [1] Wang 2017 | Table 7, p. 6, row 2; `ORC-OEEK2YP3NN.21f7c2` | | ## Other properties ### Formation (5) Table: Formation, Bi–Pr system | Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote | |---|---:|---:|---|---|---|---|---| | Entropy of formation; _printed: ΔSf_ | 2.82 J/mol (basis unstated)/K | | Pr2Bi; _alloy: Pr 0.667_ | model | [1] Wang 2017 | Table 10, p. 7, row 5; `ORC-OJMMMWLZU2` | | | Entropy of formation; _printed: ΔSf_ | 8.33 J/mol (basis unstated)/K | | Pr4Bi3; _alloy: Pr 0.571_ | model | [1] Wang 2017 | Table 10, p. 7, row 3; `ORC-77HJ5NJTA6` | | | Entropy of formation; _printed: ΔSf_ | 4.64 J/mol (basis unstated)/K | | Pr5Bi3; _alloy: Pr 0.625_ | model | [1] Wang 2017 | Table 10, p. 7, row 4; `ORC-WIY42FFWRC` | | | Entropy of formation; _printed: ΔSf_ | 7.56 J/mol (basis unstated)/K | | PrBi; _alloy: Pr 0.5_ | model | [1] Wang 2017 | Table 10, p. 7, row 2; `ORC-MFRSX2ZWJT` | | | Entropy of formation; _printed: ΔSf_ | 5.92 J/mol (basis unstated)/K | | PrBi2; _alloy: Pr 0.333_ | model | [1] Wang 2017 | Table 10, p. 7, row 1; `ORC-5F7SI7SOXF` | | ## Sources Reporting papers the values were read from (a value cited from another work names that work in its row). 1. Yafei Wang, Wentao Zhou, Shaoqiang Guo, Jinsuo Zhang, Thermodynamic properties of fission products (Pr, Ce, Er) in liquid bismuth by thermodynamic assessment, Journal of Nuclear Materials 495, 181-191 (2017). [doi:10.1016/j.jnucmat.2017.08.016](https://doi.org/10.1016/j.jnucmat.2017.08.016) ## 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-Hulls: binary convex hulls (Materials Project, OQMD, assessed CALPHAD) (version 2026.10), Zenodo (2026). https://doi.org/10.5281/zenodo.23735891 - 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); 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_hulls_2026, author = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon}, title = {{ORCHID-Hulls: binary convex hulls (Materials Project, OQMD, assessed CALPHAD)}}, version = {2026.10}, publisher = {Zenodo}, year = {2026}, doi = {10.5281/zenodo.23735891}, url = {https://doi.org/10.5281/zenodo.23735891} } @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/).