Bi–Nd system

18 accepted literature values from 2 paper(s) (experimental 10, model 8); 2 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 · interactive phase diagram · phases (12) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence class	Values
experimental	10
model	8

Accepted values by property group
Property group	Values
invariant reaction	15
phase transition	2
activity / EMF / Gibbs energy	1

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
BiNd-10Wan.tdb	C.P. Wang, H.L. Zhang, A.T. Tang, F.S. Pan, X.J. Liu, J. Alloys Compd., 502, 43-48(2010). doi:10.1016/j.jallcom.2010.03.042	`b10b8cb0c572dee3898e96f0fc2136a7f6b5357086f35b218832694eed64e941`	viewer · TDB · JSON
BiNd-22Im.tdb	S. Im, S.-L. Shang, N.D. Smith, A.M. Krajewski, T. Lichtenstein, H. Sun, B.J. Bocklund, Z.-K. Liu, H. Kim, Acta Mater., 223, 117448(2022). doi:10.1016/j.actamat.2021.117448	`9860ba3a27df60f38be9d9ec8378f51097519dec6c47d19205903a9db6b4e663`	viewer · TDB · JSON

Calculated three-phase invariants (model, mole fraction of the second component)
TDB file	T (K)	Phases at the invariant
BiNd-10Wan.tdb	1840.57	BIND_B1 (x(Nd) 0.5) + BI3ND4_D73 (x(Nd) 0.57143) + LIQUID (x(Nd) 0.62838)
BiNd-10Wan.tdb	1840.56	BIND_B1 (x(Nd) 0.5) + BI3ND4_D73 (x(Nd) 0.57143) + LIQUID (x(Nd) 0.6286)
BiNd-10Wan.tdb	1840.56	BIND_B1 (x(Nd) 0.5) + BI3ND4_D73 (x(Nd) 0.57143) + LIQUID (x(Nd) 0.62864)
BiNd-10Wan.tdb	1713.56	BI3ND4_D73 (x(Nd) 0.57143) + BI3ND5_D88 (x(Nd) 0.625) + LIQUID (x(Nd) 0.69437)
BiNd-10Wan.tdb	1713.55	BI3ND4_D73 (x(Nd) 0.57143) + BI3ND5_D88 (x(Nd) 0.625) + LIQUID (x(Nd) 0.69459)
BiNd-10Wan.tdb	1713.55	BI3ND4_D73 (x(Nd) 0.57143) + BI3ND5_D88 (x(Nd) 0.625) + LIQUID (x(Nd) 0.69469)
BiNd-10Wan.tdb	1527.13	BI3ND5_D88 (x(Nd) 0.625) + BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.78791)
BiNd-10Wan.tdb	1527.13	BI3ND5_D88 (x(Nd) 0.625) + BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.78773)
BiNd-10Wan.tdb	1527.13	BI3ND5_D88 (x(Nd) 0.625) + BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.78803)
BiNd-10Wan.tdb	1221.77	BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.95029) + BCC_A2 (x(Nd) 0.99214)
BiNd-10Wan.tdb	1221.77	BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.95042) + BCC_A2 (x(Nd) 0.99216)
BiNd-10Wan.tdb	1117.25	BIND2 (x(Nd) 0.66667) + BCC_A2 (x(Nd) 0.99712) + DHCP (x(Nd) 1)
BiNd-10Wan.tdb	1117.25	BIND2 (x(Nd) 0.66667) + BCC_A2 (x(Nd) 0.99715) + DHCP (x(Nd) 1)
BiNd-10Wan.tdb	1117.25	BIND2 (x(Nd) 0.66667) + BCC_A2 (x(Nd) 0.99715) + DHCP (x(Nd) 1)
BiNd-10Wan.tdb	929.12	LIQUID (x(Nd) 0.08328) + BI2ND (x(Nd) 0.33333) + BIND_B1 (x(Nd) 0.5)
BiNd-10Wan.tdb	929.12	LIQUID (x(Nd) 0.08329) + BI2ND (x(Nd) 0.33333) + BIND_B1 (x(Nd) 0.5)
BiNd-10Wan.tdb	544.45	RHOMBOHEDRAL_A7 (x(Nd) 0) + LIQUID (x(Nd) 4.600e-4) + BI2ND (x(Nd) 0.33333)
BiNd-10Wan.tdb	544.45	RHOMBOHEDRAL_A7 (x(Nd) 0) + LIQUID (x(Nd) 4.600e-4) + BI2ND (x(Nd) 0.33333)
BiNd-22Im.tdb	1840.49	BIND_B1 (x(Nd) 0.5) + BI3ND4_D73 (x(Nd) 0.57143) + LIQUID (x(Nd) 0.64529)
BiNd-22Im.tdb	1840.49	BIND_B1 (x(Nd) 0.5) + BI3ND4_D73 (x(Nd) 0.57143) + LIQUID (x(Nd) 0.64536)
BiNd-22Im.tdb	1840.49	BIND_B1 (x(Nd) 0.5) + BI3ND4_D73 (x(Nd) 0.57143) + LIQUID (x(Nd) 0.64516)
BiNd-22Im.tdb	1720.74	BI3ND4_D73 (x(Nd) 0.57143) + BI3ND5_D88 (x(Nd) 0.625) + LIQUID (x(Nd) 0.70946)
BiNd-22Im.tdb	1720.74	BI3ND4_D73 (x(Nd) 0.57143) + BI3ND5_D88 (x(Nd) 0.625) + LIQUID (x(Nd) 0.70953)
BiNd-22Im.tdb	1720.74	BI3ND4_D73 (x(Nd) 0.57143) + BI3ND5_D88 (x(Nd) 0.625) + LIQUID (x(Nd) 0.70945)
BiNd-22Im.tdb	1526.22	BI3ND5_D88 (x(Nd) 0.625) + BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.8099)
BiNd-22Im.tdb	1526.22	BI3ND5_D88 (x(Nd) 0.625) + BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.80981)
BiNd-22Im.tdb	1526.22	BI3ND5_D88 (x(Nd) 0.625) + BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.80991)
BiNd-22Im.tdb	1216.24	BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.96461) + BCC_A2 (x(Nd) 0.99726)
BiNd-22Im.tdb	1216.24	BIND2 (x(Nd) 0.66667) + LIQUID (x(Nd) 0.96465) + BCC_A2 (x(Nd) 0.99727)
BiNd-22Im.tdb	1124.46	BIND2 (x(Nd) 0.66667) + BCC_A2 (x(Nd) 0.99899) + DHCP (x(Nd) 1)
BiNd-22Im.tdb	1124.45	BIND2 (x(Nd) 0.66667) + BCC_A2 (x(Nd) 0.99901) + DHCP (x(Nd) 1)
BiNd-22Im.tdb	1124.45	BIND2 (x(Nd) 0.66667) + BCC_A2 (x(Nd) 0.99901) + DHCP (x(Nd) 1)
BiNd-22Im.tdb	929.01	LIQUID (x(Nd) 0.05063) + BI2ND (x(Nd) 0.33333) + BIND_B1 (x(Nd) 0.5)
BiNd-22Im.tdb	929.01	LIQUID (x(Nd) 0.0507) + BI2ND (x(Nd) 0.33333) + BIND_B1 (x(Nd) 0.5)
BiNd-22Im.tdb	796.87	LIQUID (x(Nd) 0.00171) + BI7ND3 (x(Nd) 0.3) + BI2ND (x(Nd) 0.33333)
BiNd-22Im.tdb	796.87	LIQUID (x(Nd) 0.00169) + BI7ND3 (x(Nd) 0.3) + BI2ND (x(Nd) 0.33333)
BiNd-22Im.tdb	796.87	LIQUID (x(Nd) 0.00169) + BI7ND3 (x(Nd) 0.3) + BI2ND (x(Nd) 0.33333)
BiNd-22Im.tdb	544.55	RHOMBOHEDRAL_A7 (x(Nd) 0) + LIQUID (x(Nd) 0) + BI7ND3 (x(Nd) 0.3)

Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull BiNd-10Wan

Invariant reactions (literature)

Invariant reactions reported in the literature for the Bi–Nd system (15)
T (K)	Reaction / phases	Compositions (mole fraction)	Class	Source	Location
1838.15	peritectic: L + BiNd -> Bi3Nd4	BiNd: Nd 0.5; Bi3Nd4: Nd 0.571	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 14 report
1838.15	peritectic: L + BiNd -> Bi3Nd4	L: Nd 0.629; BiNd: Nd 0.5; Bi3Nd4: Nd 0.571	model	[1] Wang 2010	Table 3, p. 4, row 15 report
1723.15	peritectic: L + Bi3Nd4 -> Bi3Nd5	Bi3Nd4: Nd 0.571; Bi3Nd5: Nd 0.625	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 12 report
1716.15	peritectic: L + Bi3Nd4 -> Bi3Nd5	L: Nd 0.693; Bi3Nd4: Nd 0.571; Bi3Nd5: Nd 0.625	model	[1] Wang 2010	Table 3, p. 4, row 13 report
1533.15	peritectic: L + Bi3Nd5 -> BiNd2	Bi3Nd5: Nd 0.625; BiNd2: Nd 0.667	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 10 report
1533.15	peritectic: L + Bi3Nd5 -> BiNd2	L: Nd 0.785; Bi3Nd5: Nd 0.625; BiNd2: Nd 0.667	model	[1] Wang 2010	Table 3, p. 4, row 11 report
1223.15	eutectic: L -> BiNd2 + (βNd)	L: Nd 0.951; BiNd2: Nd 0.667; (βNd): Nd 0.991	model	[1] Wang 2010	Table 3, p. 4, row 9 report
1223.15	eutectic: L -> BiNd2 + (βNd)	BiNd2: Nd 0.667	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 8 report
1117.15	eutectoid: (βNd) -> (αNd) + BiNd2	(βNd): Nd 0.999; (αNd): Nd 1; BiNd2: Nd 0.667	model	[1] Wang 2010	Table 3, p. 4, row 7 report
1108.15	eutectoid: (βNd) -> (αNd) + BiNd2	(αNd): Nd 1; BiNd2: Nd 0.667	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 6 report
933.15	peritectic: L + BiNd -> Bi2Nd	L: Nd 0.084; BiNd: Nd 0.5; Bi2Nd: Nd 0.333	model	[1] Wang 2010	Table 3, p. 4, row 5 report
933.15	peritectic: L + BiNd -> Bi2Nd	BiNd: Nd 0.5; Bi2Nd: Nd 0.333	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 4 report
544.15	eutectic: L -> (Bi) + Bi2Nd	L: Nd 0.004; (Bi): Nd 0; Bi2Nd: Nd 0.333	model	[1] Wang 2010	Table 3, p. 4, row 3 report
542.15	eutectic: L -> (Bi) + Bi2Nd	(Bi): Nd 0; Bi2Nd: Nd 0.333	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 1 report
538.15	eutectic: L -> (Bi) + Bi2Nd	(Bi): Nd 0; Bi2Nd: Nd 0.333	experimental	[1] Wang 2010 cites Okamoto 2010	Table 3, p. 4, row 2 report

Other properties

Phase transition (2)

Phase transition, Bi–Nd system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Phase transition	2048.15 K	2048.15	congruent melting: L -> BiNd L: Nd 0.5; BiNd: Nd 0.5	experimental	[1] Wang 2010 cites Abulkhaev 2001	Table 3, p. 4, row 16 report
Phase transition	2048.15 K	2048.15	congruent melting: L -> BiNd L: Nd 0.5; BiNd: Nd 0.5	model	[1] Wang 2010	Table 3, p. 4, row 17 report

Activity / EMF / Gibbs energy (1)

Activity / EMF / Gibbs energy, Bi–Nd system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Activity printed: aNd	0 unspecified	973		experimental	[2] Im 2022	p. 9 report	The emf data indicated a low activity of Nd in liquid Bi (e.g., aNd = 1.1 × 10-13 at T = 973 K) implying strong chemical interactions between Nd and Bi.

Sources

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

C.P. Wang, H.L. Zhang, A.T. Tang, F.S. Pan, X.J. Liu, Thermodynamic assessments of the Bi–Nd and Bi–Tm systems, Journal of Alloys and Compounds 502, 43-48 (2010). doi:10.1016/j.jallcom.2010.03.042
Sanghyeok Im, Shun-Li Shang, Nathan D. Smith, Adam M. Krajewski, Timothy Lichtenstein, Hui Sun et al., Thermodynamic properties of the Nd-Bi system via emf measurements, DFT calculations, machine learning, and CALPHAD modeling, Acta Materialia 223, 117448 (2022). doi:10.1016/j.actamat.2021.117448

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}
}