Pr–Si system

41 accepted literature values from 1 paper(s) (experimental 7, model 2, unspecified 32); 1 calculated phase diagram(s). 3 further extracted value(s) not accepted by the reader-agreement checks are only in the JSON/CSV.

Data: JSON · CSV · interactive explorer · interactive phase diagram · phases (12) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence class	Values
experimental	7
model	2
unspecified	32

Accepted values by property group
Property group	Values
invariant reaction	5
phase transition	6
crystal structure	30

Calculated phase diagrams

Binary phase diagrams calculated with pycalphad 0.11.2 from the SGTE binary collection (Hallstedt 2025, CC BY 4.0). Evidence class: model.

Assessments with a calculated phase diagram
TDB file	Assessment	SHA-256	Links
PrSi-20Xu.tdb	K. Xu, K. Chang, X. Zhou, L. Chen, J. Liu, Z. Deng, F.Huang, Q. Huang, J. Am. Ceram. Soc., 103, 3812-25(2020). doi:10.1111/jace.17031	`5164e34ad4f5ccca96814f90c24d8641ff6ddb05d4e656b4d6d7387c58584ed8`	viewer · TDB · JSON

Calculated three-phase invariants (model, mole fraction of the second component)
TDB file	T (K)	Phases at the invariant
PrSi-20Xu.tdb	1856.73	PRSI_B27 (x(Si) 0.5) + LIQUID (x(Si) 0.56821) + PR5SI9_CC (x(Si) 0.64286)
PrSi-20Xu.tdb	1856.73	PRSI_B27 (x(Si) 0.5) + LIQUID (x(Si) 0.56822) + PR5SI9_CC (x(Si) 0.64286)
PrSi-20Xu.tdb	1856.73	PRSI_B27 (x(Si) 0.5) + LIQUID (x(Si) 0.56827) + PR5SI9_CC (x(Si) 0.64286)
PrSi-20Xu.tdb	1795.19	LIQUID (x(Si) 0.40647) + PR5SI4 (x(Si) 0.44444) + PRSI_B27 (x(Si) 0.5)
PrSi-20Xu.tdb	1795.19	LIQUID (x(Si) 0.40649) + PR5SI4 (x(Si) 0.44444) + PRSI_B27 (x(Si) 0.5)
PrSi-20Xu.tdb	1670.8	LIQUID (x(Si) 0.34693) + PR5SI3_D8L (x(Si) 0.375) + PR5SI4 (x(Si) 0.44444)
PrSi-20Xu.tdb	1670.79	LIQUID (x(Si) 0.34677) + PR5SI3_D8L (x(Si) 0.375) + PR5SI4 (x(Si) 0.44444)
PrSi-20Xu.tdb	1670.79	LIQUID (x(Si) 0.34676) + PR5SI3_D8L (x(Si) 0.375) + PR5SI4 (x(Si) 0.44444)
PrSi-20Xu.tdb	1618.25	PRSI_B27 (x(Si) 0.5) + PR3SI4 (x(Si) 0.57143) + PR5SI9_CC (x(Si) 0.64286)
PrSi-20Xu.tdb	1465.05	PR5SI9_CC (x(Si) 0.64286) + LIQUID (x(Si) 0.81761) + DIAMOND_A4 (x(Si) 1)
PrSi-20Xu.tdb	1063.88	DHCP (x(Si) 0) + BCC_A2 (x(Si) 0.00135) + LIQUID (x(Si) 0.10121)
PrSi-20Xu.tdb	1063.88	DHCP (x(Si) 0) + BCC_A2 (x(Si) 0.00135) + LIQUID (x(Si) 0.10115)
PrSi-20Xu.tdb	1003.93	DHCP (x(Si) 0) + LIQUID (x(Si) 0.126) + PR5SI3_D8L (x(Si) 0.375)
PrSi-20Xu.tdb	1003.93	DHCP (x(Si) 0) + LIQUID (x(Si) 0.12606) + PR5SI3_D8L (x(Si) 0.375)
PrSi-20Xu.tdb	1003.93	DHCP (x(Si) 0) + LIQUID (x(Si) 0.12592) + PR5SI3_D8L (x(Si) 0.375)
PrSi-20Xu.tdb	305.34	PR3SI4 (x(Si) 0.57143) + PR5SI9_ALPHA (x(Si) 0.64286) + PR5SI9_CC (x(Si) 0.64286)
PrSi-20Xu.tdb	305.34	PR5SI9_CC (x(Si) 0.64286) + PR5SI9_ALPHA (x(Si) 0.64286) + DIAMOND_A4 (x(Si) 1)

Convex hulls: Materials Project DFT hull · OQMD DFT hull

Invariant reactions (literature)

Invariant reactions reported in the literature for the Pr–Si system (5)
T (K)	Reaction / phases	Class	Source	Location	Quote
1805.15	peritectic	experimental	[1] Xu 2020	p. 4 report	The Pr5Si3 and Pr5Si4 phases formed at 1417°C and 1532°C by peritectic reactions, while PrSi melted congruently at 1657°C and Pr3Si4 formed at 1352°C by a peritectoid reaction.
1690.15	peritectic	experimental	[1] Xu 2020	p. 4 report	The Pr5Si3 and Pr5Si4 phases formed at 1417°C and 1532°C by peritectic reactions, while PrSi melted congruently at 1657°C and Pr3Si4 formed at 1352°C by a peritectoid reaction.
1625.15	peritectoid: β-Pr5Si9 + PrSi -> Pr3Si4	unspecified	[1] Xu 2020 cites ref. 19	Table 4, p. 10, row 68 report
1619.65	peritectoid: β-Pr5Si9 + PrSi -> Pr3Si4	unspecified	[1] Xu 2020 cites ref. 28	Table 4, p. 10, row 67 report
1610.85	peritectoid: β-Pr5Si9 + PrSi -> Pr3Si4	model	[1] Xu 2020	Table 4, p. 10, row 66 report

Other properties

Phase transition (6)

Phase transition, Pr–Si system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Phase transition	305.15 K	305.15	polymorphic	model	[1] Xu 2020	p. 8 report	As discussed in Section 2.3, in accordance with Gorbachuk et al47 and Kim et al,28 the polymorphic transition temperature for Pr5Si9 is optimized to be 32°C.
Phase transition	308 K	308	polymorphic	experimental	[1] Xu 2020	p. 4 report	And they assumed that there was a polymorphic transition for the Pr5Si9 phase at 308 ± 8 K based on the inconsistencies in the Cp.
Phase transition	330.15 K	330.15	polymorphic	experimental	[1] Xu 2020 cites ref. 19	p. 4 report	Eremenko et al19 reported the polymorphic transition between α-Pr5Si9 (orthorhombic) and β-Pr5Si9 (tetragonal) at Pr-rich Pr5Si9 to be at 157°C and the temperature was 57°C at 0.353 mole fraction Pr
Phase transition	430.15 K	430.15	polymorphic	experimental	[1] Xu 2020 cites ref. 19	p. 4 report	Eremenko et al19 reported the polymorphic transition between α-Pr5Si9 (orthorhombic) and β-Pr5Si9 (tetragonal) at Pr-rich Pr5Si9 to be at 157°C and the temperature was 57°C at 0.353 mole fraction Pr
Phase transition	1625.15 K	1625.15	other	experimental	[1] Xu 2020	p. 4 report	The Pr5Si3 and Pr5Si4 phases formed at 1417°C and 1532°C by peritectic reactions, while PrSi melted congruently at 1657°C and Pr3Si4 formed at 1352°C by a peritectoid reaction.
Phase transition	1930.15 K	1930.15	congruent transformation	experimental	[1] Xu 2020	p. 4 report	The Pr5Si3 and Pr5Si4 phases formed at 1417°C and 1532°C by peritectic reactions, while PrSi melted congruently at 1657°C and Pr3Si4 formed at 1352°C by a peritectoid reaction.

Crystal structure (30)

Crystal structure, Pr–Si system
Property	Value	T (K)	Phases / composition	Class	Source	Location
Lattice a	0.42 not_printed ± 8.000e-4		β-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 23 report
Lattice a	4.2 Å ± 0.008		β-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 23 report
Lattice a	4.3922 Å ± 2.000e-4	298.15	Pr3Si4 alloy: Pr 0.428571, Si 0.571429	unspecified	[1] Xu 2020 cites ref. 50	Table 1, p. 3, row 19 report
Lattice a	0.43922 not_printed ± 2.000e-5	298.15	Pr3Si4 alloy: Pr 0.428571, Si 0.571429	unspecified	[1] Xu 2020 cites ref. 50	Table 1, p. 3, row 19 report
Lattice a	8.7822 Å ± 5.000e-4	298.15	Pr5Si3 alloy: Pr 0.625, Si 0.375	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 13 report
Lattice a	0.87822 not_printed ± 5.000e-5	298.15	Pr5Si3 alloy: Pr 0.625, Si 0.375	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 13 report
Lattice a	0.7901 not_printed ± 2.000e-4	298.15	Pr5Si4 alloy: Pr 0.555556, Si 0.444444	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 15 report
Lattice a	7.901 Å ± 0.002	298.15	Pr5Si4 alloy: Pr 0.555556, Si 0.444444	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 15 report
Lattice a	8.24 Å ± 0.004	298.15	PrSi alloy: Pr 0.5, Si 0.5	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 17 report
Lattice a	0.824 not_printed ± 4.000e-4	298.15	PrSi alloy: Pr 0.5, Si 0.5	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 17 report
Lattice a	0.4166 not_printed ± 7.000e-4	298.15	α-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 21 report
Lattice a	4.166 Å ± 0.007	298.15	α-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 21 report
Lattice b	24.74 Å ± 0.001	298.15	Pr3Si4 alloy: Pr 0.428571, Si 0.571429	unspecified	[1] Xu 2020 cites ref. 50	Table 1, p. 3, row 19 report
Lattice b	2.474 not_printed ± 1.000e-4	298.15	Pr3Si4 alloy: Pr 0.428571, Si 0.571429	unspecified	[1] Xu 2020 cites ref. 50	Table 1, p. 3, row 19 report
Lattice b	0.394 not_printed ± 7.000e-4	298.15	PrSi alloy: Pr 0.5, Si 0.5	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 17 report
Lattice b	3.94 Å ± 0.007	298.15	PrSi alloy: Pr 0.5, Si 0.5	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 17 report
Lattice b	4.112 Å ± 0.002	298.15	α-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 21 report
Lattice b	0.4112 not_printed ± 2.000e-4	298.15	α-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 21 report
Lattice c	1.3733 not_printed ± 1.000e-4		β-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 23 report
Lattice c	13.733 Å ± 0.001		β-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 23 report
Lattice c	0.39375 not_printed ± 2.000e-5	298.15	Pr3Si4 alloy: Pr 0.428571, Si 0.571429	unspecified	[1] Xu 2020 cites ref. 50	Table 1, p. 3, row 19 report
Lattice c	3.9375 Å ± 2.000e-4	298.15	Pr3Si4 alloy: Pr 0.428571, Si 0.571429	unspecified	[1] Xu 2020 cites ref. 50	Table 1, p. 3, row 19 report
Lattice c	1.3783 not_printed ± 5.000e-5	298.15	Pr5Si3 alloy: Pr 0.625, Si 0.375	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 13 report
Lattice c	13.783 Å ± 0.005	298.15	Pr5Si3 alloy: Pr 0.625, Si 0.375	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 13 report
Lattice c	14.95 Å ± 0.004	298.15	Pr5Si4 alloy: Pr 0.555556, Si 0.444444	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 15 report
Lattice c	1.495 not_printed ± 4.000e-4	298.15	Pr5Si4 alloy: Pr 0.555556, Si 0.444444	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 15 report
Lattice c	5.92 Å ± 0.001	298.15	PrSi alloy: Pr 0.5, Si 0.5	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 17 report
Lattice c	0.592 not_printed ± 1.000e-4	298.15	PrSi alloy: Pr 0.5, Si 0.5	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 17 report
Lattice c	13.819 Å ± 0.006	298.15	α-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 21 report
Lattice c	1.3819 not_printed ± 6.000e-4	298.15	α-PrSi1.8 alloy: Pr 0.357143, Si 0.642857	unspecified	[1] Xu 2020 cites ref. 19	Table 1, p. 3, row 21 report

Sources

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

Kai Xu, Keke Chang, Xiaobing Zhou, Leilei Chen, Junwen Liu, Zixuan Deng et al., Thermodynamic descriptions of the light rare‐earth elements in silicon carbide ceramics, J Am Ceram Soc 103, 3812-3825 (2020). doi:10.1111/jace.17031

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-Diagrams: calculated binary phase diagrams (version 2026.10), Zenodo (2026). doi:10.5281/zenodo.23735859
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); 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.

@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_phase_diagrams_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Diagrams: calculated binary phase diagrams}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735859},
  url       = {https://doi.org/10.5281/zenodo.23735859}
}

@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}
}