Bi–Pr system

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 · CSV · interactive explorer · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence class	Values
experimental	6
model	23

Accepted values by property group
Property group	Values
invariant reaction	12
formation	17

Convex hulls: Materials Project DFT hull · OQMD DFT hull

Invariant reactions (literature)

Invariant reactions reported in the literature for the Bi–Pr system (12)
T (K)	Reaction / phases	Compositions (mole fraction)	Class	Source	Location
1923	peritectic: L + PrBi -> Pr4Bi3	L: Pr 0.61	experimental	[1] Wang 2017 cites William 1976	Table 1, p. 4, row 5 report
1922	peritectic: L + PrBi -> Pr4Bi3	L: Pr 0.6137	model	[1] Wang 2017	Table 1, p. 4, row 6 report
1773	peritectic: L + PrBi -> PrBi2	L: Pr 0.3	experimental	[1] Wang 2017 cites William 1976	Table 1, p. 4, row 3 report
1771	peritectic: L + PrBi -> PrBi2	L: Pr 0.3031	model	[1] Wang 2017	Table 1, p. 4, row 4 report
1499	peritectic: L + Pr4Bi3 -> Pr5Bi3	L: Pr 0.7851	model	[1] Wang 2017	Table 1, p. 4, row 8 report
1498	peritectic: L + Pr4Bi3 -> Pr5Bi3	L: Pr 0.78	experimental	[1] Wang 2017 cites William 1976	Table 1, p. 4, row 7 report
1375	peritectic: L + Pr5Bi3 -> Pr2Bi	L: Pr 0.841	model	[1] Wang 2017	Table 1, p. 4, row 10 report
1373	peritectic: L + Pr5Bi3 -> Pr2Bi	L: Pr 0.83	experimental	[1] Wang 2017 cites William 1976	Table 1, p. 4, row 9 report
1168	eutectic: L -> Pr2Bi + BCC_A2 (Pr)	L: Pr 0.973	model	[1] Wang 2017	Table 1, p. 4, row 12 report
1167	eutectic: L -> Pr2Bi + BCC_A2 (Pr)	L: Pr 0.97	experimental	[1] Wang 2017 cites Griffin 1971 doi	Table 1, p. 4, row 11 report
544.5	eutectic: L -> rhombohedral (Bi) + PrBi2	L: Pr 5.000e-6	model	[1] Wang 2017	Table 1, p. 4, row 2 report
544	eutectic: L -> rhombohedral (Bi) + PrBi2	L: Pr 0	experimental	[1] Wang 2017 cites William 1976	Table 1, p. 4, row 1 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, Bi–Pr system (12)
Phase	Compound	Value	Class	MP DFT (kJ/mol-atom)	OQMD DFT (kJ/mol-atom)	Source	Location
Pr2Bi	BiPr2	-81.4 kJ/mol-atom	model	-65.513 (mp-aaacjiiz)	-67.371 (oqmd-28762)	[1] Wang 2017	Table 7, p. 6, row 12 report
Pr2Bi	BiPr2	-81 kJ/mol-atom	model	-65.513 (mp-aaacjiiz)	-67.371 (oqmd-28762)	[1] Wang 2017 cites Colinet 1984 doi	Table 7, p. 6, row 11 report
Pr4Bi3	Bi3Pr4	-94 kJ/mol-atom	model	-81.229 (mp-aaaabims)	-83.262 (oqmd-28760)	[1] Wang 2017 cites Borsese 1975 doi	Table 7, p. 6, row 7 report
Pr4Bi3	Bi3Pr4	-94 kJ/mol-atom	model	-81.229 (mp-aaaabims)	-83.262 (oqmd-28760)	[1] Wang 2017 cites Colinet 1984 doi	Table 7, p. 6, row 6 report
Pr4Bi3	Bi3Pr4	-92.877 kJ/mol-atom	model	-81.229 (mp-aaaabims)	-83.262 (oqmd-28760)	[1] Wang 2017	Table 7, p. 6, row 8 report
Pr5Bi3	Bi3Pr5	-88.136 kJ/mol-atom	model	-75.072 (mp-aaackxlc)	-77.405 (oqmd-28761)	[1] Wang 2017	Table 7, p. 6, row 10 report
Pr5Bi3	Bi3Pr5	-88 kJ/mol-atom	model	-75.072 (mp-aaackxlc)	-77.405 (oqmd-28761)	[1] Wang 2017 cites Colinet 1984 doi	Table 7, p. 6, row 9 report
PrBi	BiPr	-100 kJ/mol-atom	model	-91.857 (mp-aaaabihf)	-94.633 (oqmd-1926331)	[1] Wang 2017 cites Borsese 1975 doi	Table 7, p. 6, row 4 report
PrBi	BiPr	-97.649 kJ/mol-atom	model	-91.857 (mp-aaaabihf)	-94.633 (oqmd-1926331)	[1] Wang 2017	Table 7, p. 6, row 5 report
PrBi	BiPr	-97 kJ/mol-atom	model	-91.857 (mp-aaaabihf)	-94.633 (oqmd-1926331)	[1] Wang 2017 cites Colinet 1984 doi	Table 7, p. 6, row 3 report
PrBi2	Bi2Pr	-79 kJ/mol-atom	model		-64.412 (oqmd-1368767)	[1] Wang 2017 cites Colinet 1984 doi	Table 7, p. 6, row 1 report
PrBi2	Bi2Pr	-78.698 kJ/mol-atom	model		-64.412 (oqmd-1368767)	[1] Wang 2017	Table 7, p. 6, row 2 report

Other properties

Formation (5)

Formation, Bi–Pr system
Property	Value	Phases / composition	Class	Source	Location
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 report
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 report
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 report
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 report
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 report

Sources

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

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

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-Hulls: binary convex hulls (Materials Project, OQMD, assessed CALPHAD) (version 2026.10), Zenodo (2026). doi: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). 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); 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.

@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}
}