Bi–Er system

145 accepted literature values from 3 paper(s) (experimental 40, model 67, DFT 31, unspecified 7); 3 calculated phase diagram(s). 11 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 (9) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence class	Values
experimental	40
model	67
DFT	31
unspecified	7

Accepted values by property group
Property group	Values
invariant reaction	38
phase transition	3
formation	63
activity / EMF / Gibbs energy	12
crystal structure	29

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
BiEr-13Wan.tdb	J. Wang, C. Li, C. Guo, Z. Du, B. Wu, Thermochim. Acta, 566, 44-49(2013). doi:10.1016/j.tca.2013.05.024	`1fa218775bc6a20ff2da0982631dca45e5a29177c084c67abe34dfca352262bd`	viewer · TDB · JSON
BiEr-17Wan.tdb	Y. Wang, W. Zhou, S. Guo, J. Zhang, J. Nucl. Mater., 495, 181-91(2017). doi:10.1016/j.jnucmat.2017.08.016	`dfdba02348cf0f120d32b5055da1e2051603de5fa1458cb43eb113f395d0b6cb`	viewer · TDB · JSON
BiEr-22Ben.tdb	S. Bennoui, Y. Djaballah, V. Vassiliev, A. Belgacem-Bouzida, J. Phase Equilib. Diffus., 43, 126-38(2022). doi:10.1007/s11669-022-00947-8	`f4719f37425c3c710d70489e86a3879bc31e70b40e9e6192c0eb924a0d58a565`	viewer · TDB · JSON

Calculated three-phase invariants (model, mole fraction of the second component)
TDB file	T (K)	Phases at the invariant
BiEr-13Wan.tdb	1700.49	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.68591)
BiEr-13Wan.tdb	1700.49	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.68597)
BiEr-13Wan.tdb	1700.49	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.68568)
BiEr-13Wan.tdb	1433.9	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.81228) + HCP_A3 (x(Er) 1)
BiEr-13Wan.tdb	1433.9	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.81226) + HCP_A3 (x(Er) 1)
BiEr-13Wan.tdb	1433.9	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.8123) + HCP_A3 (x(Er) 1)
BiEr-13Wan.tdb	1433.9	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.81235) + HCP_A3 (x(Er) 1)
BiEr-13Wan.tdb	541	RHOMBOHEDRAL_A7 (x(Er) 0) + LIQUID (x(Er) 0.01267) + BIER_B1 (x(Er) 0.5)
BiEr-13Wan.tdb	541	RHOMBOHEDRAL_A7 (x(Er) 0) + LIQUID (x(Er) 0.01263) + BIER_B1 (x(Er) 0.5)
BiEr-17Wan.tdb	1700.9	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.68351)
BiEr-17Wan.tdb	1700.9	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.68354)
BiEr-17Wan.tdb	1700.9	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.6833)
BiEr-17Wan.tdb	1433.54	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.8095) + HCP_A3 (x(Er) 0.99211)
BiEr-17Wan.tdb	1433.54	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.80955) + HCP_A3 (x(Er) 0.99212)
BiEr-17Wan.tdb	542.92	RHOMBOHEDRAL_A7 (x(Er) 0) + LIQUID (x(Er) 0.00712) + BIER_B1 (x(Er) 0.5)
BiEr-17Wan.tdb	542.92	RHOMBOHEDRAL_A7 (x(Er) 0) + LIQUID (x(Er) 0.00697) + BIER_B1 (x(Er) 0.5)
BiEr-22Ben.tdb	2048.04	BIER_B1 (x(Er) 0.5) + BIER_HT (x(Er) 0.5) + LIQUID (x(Er) 0.57532)
BiEr-22Ben.tdb	2048.04	LIQUID (x(Er) 0.41289) + BIER_B1 (x(Er) 0.5) + BIER_HT (x(Er) 0.5)
BiEr-22Ben.tdb	1700.87	BIER_B1 (x(Er) 0.5) + BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.67383)
BiEr-22Ben.tdb	1432.67	BI3ER5 (x(Er) 0.625) + LIQUID (x(Er) 0.81667) + HCP_A3 (x(Er) 0.98613)
BiEr-22Ben.tdb	861.11	LIQUID (x(Er) 0.08225) + BI2ER (x(Er) 0.33333) + BIER_B1 (x(Er) 0.5)
BiEr-22Ben.tdb	543.32	RHOMBOHEDRAL_A7 (x(Er) 0) + LIQUID (x(Er) 0.00527) + BI2ER (x(Er) 0.33333)

Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull BiEr-13Wan · CALPHAD hull BiEr-17Wan

Invariant reactions (literature)

Invariant reactions reported in the literature for the Bi–Er system (38)
T (K)	Reaction / phases	Compositions (mole fraction)	Class	Source	Location	Quote
2134	congruent melting: L ↔ ErBi	L: Er 0.5; ErBi: Er 0.5	model	[1] Bennoui 2022	Table 5, p. 8, row 5 report
2133	congruent melting: L ↔ ErBi	L: Er 0.5; ErBi: Er 0.5	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	Table 5, p. 8, row 7 report
2080	congruent melting: L ↔ ErBi	L: Er 0.5; ErBi: Er 0.5	model	[1] Bennoui 2022 cites Wang 2013 doi	Table 5, p. 8, row 8 report
2080	congruent melting: L ↔ ErBi	L: Er 0.5; ErBi: Er 0.5	experimental	[1] Bennoui 2022 cites Abulkhaev 1993	Table 5, p. 8, row 6 report
2080	congruent melting: L -> BiEr	L: Bi 0.5; BiEr: Bi 0.5, Er 0.5	unspecified	[2] Wang 2013 cites Abulkhaev 1992	Table 1, p. 2, row 5 report
2080	congruent melting: L -> BiEr	L: Bi 0.5; BiEr: Bi 0.5, Er 0.5	model	[2] Wang 2013	Table 1, p. 2, row 6 report
2074	congruent melting: L ↔ ErBi	L: Er 0.5; ErBi: Er 0.5	model	[1] Bennoui 2022 cites Wang 2017 doi	Table 5, p. 8, row 9 report
2053	polymorphic: β-ErBi ↔ α-ErBi	β-ErBi: Er 0.5; α-ErBi: Er 0.5	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	Table 5, p. 8, row 11 report
2052	polymorphic: β-ErBi ↔ α-ErBi	β-ErBi: Er 0.5; α-ErBi: Er 0.5	model	[1] Bennoui 2022	Table 5, p. 8, row 10 report
1701	peritectic: L+ ErBi ↔ Er5Bi3	L: Er 0.67; ErBi: Er 0.5; Er5Bi3: Er 0.625	model	[1] Bennoui 2022	Table 5, p. 8, row 12 report
1701	peritectic: L + ErBi -> Er5Bi3	L: Er 0.6832; ErBi: Bi 0.5, Er 0.5; Er5Bi3: Bi 0.375, Er 0.625	model	[3] Wang 2017	Table 5, p. 6, row 4 report
1700	peritectic: L + BiEr -> Bi3Er5	L: Bi 0.315; BiEr: Bi 0.5, Er 0.5; Bi3Er5: Bi 0.375, Er 0.625	model	[2] Wang 2013	Table 1, p. 2, row 4 report
1700	peritectic: Er5Bi3 -> liquid + ErBi		experimental	[1] Bennoui 2022 cites Kovenskaya 1977	p. 2 report	It is expected the Er5Bi3 bismuthide peritectically decomposes at 1700 K into liquid and solid ErBi phases.
1700	peritectic: L+ ErBi ↔ Er5Bi3	L: Er 0.68; ErBi: Er 0.5; Er5Bi3: Er 0.625	experimental	[1] Bennoui 2022 cites Abulkhaev 1993	Table 5, p. 8, row 13 report
1700	peritectic		experimental	[1] Bennoui 2022	p. 2 report	The Er5Bi3 phase is formed by peritectic reaction at 1700 K.
1700	peritectic: L + BiEr -> Bi3Er5	L: Bi 0.325; BiEr: Bi 0.5, Er 0.5; Bi3Er5: Bi 0.375, Er 0.625	unspecified	[2] Wang 2013 cites Abulkhaev 1992	Table 1, p. 2, row 3 report
1700	peritectic: L+ ErBi ↔ Er5Bi3	L: Er 0.68; ErBi: Er 0.5; Er5Bi3: Er 0.625	model	[1] Bennoui 2022 cites Wang 2013 doi	Table 5, p. 8, row 15 report
1700	peritectic: L+ ErBi ↔ Er5Bi3	L: Er 0.71; ErBi: Er 0.5; Er5Bi3: Er 0.625	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	Table 5, p. 8, row 14 report
1700	peritectic: L+ ErBi ↔ Er5Bi3	L: Er 0.68; ErBi: Er 0.5; Er5Bi3: Er 0.625	model	[1] Bennoui 2022 cites Wang 2017 doi	Table 5, p. 8, row 16 report
1700	peritectic: L + ErBi -> Er5Bi3	L: Er 0.68; ErBi: Bi 0.5, Er 0.5; Er5Bi3: Bi 0.375, Er 0.625	unspecified	[3] Wang 2017 cites Abulkhaev 1992	Table 5, p. 6, row 3 report
1434	eutectic: L ↔ Er5Bi3+(Er)	L: Er 0.81; Er5Bi3: Er 0.625; (Er): Er 0.99	model	[1] Bennoui 2022 cites Wang 2017 doi	Table 5, p. 8, row 21 report
1434	eutectic: L -> Bi3Er5 + Hcp_A3 (Er)	L: Bi 0.2; Bi3Er5: Bi 0.375, Er 0.625	unspecified	[2] Wang 2013 cites Abulkhaev 1992	Table 1, p. 2, row 1 report
1434	eutectic: L ↔ Er5Bi3+(Er)	L: Er 0.81; Er5Bi3: Er 0.625; (Er): Er 1	model	[1] Bennoui 2022 cites Wang 2013 doi	Table 5, p. 8, row 20 report
1434	eutectic: L -> Bi3Er5 + Hcp_A3 (Er)	L: Bi 0.19; Bi3Er5: Bi 0.375, Er 0.625	model	[2] Wang 2013	Table 1, p. 2, row 2 report
1434	eutectic: L -> Er5Bi3 + HCP_A3 (Er)	L: Er 0.8; Er5Bi3: Bi 0.375, Er 0.625	unspecified	[3] Wang 2017 cites Abulkhaev 1992	Table 5, p. 6, row 5 report
1434	eutectic: L -> Er5Bi3 + HCP_A3 (Er)	L: Er 0.8078; Er5Bi3: Bi 0.375, Er 0.625	model	[3] Wang 2017	Table 5, p. 6, row 6 report
1433	eutectic: L ↔ Er5Bi3+(Er)	L: Er 0.82; Er5Bi3: Er 0.625; (Er): Er 0.985	model	[1] Bennoui 2022	Table 5, p. 8, row 17 report
1433	eutectic: L ↔ Er5Bi3+(Er)	L: Er 0.8; Er5Bi3: Er 0.625	experimental	[1] Bennoui 2022 cites Abulkhaev 1993	Table 5, p. 8, row 18 report
1423	eutectic: L ↔ Er5Bi3+(Er)	L: Er 0.8; Er5Bi3: Er 0.625; (Er): Er 0.98	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	Table 5, p. 8, row 19 report
868	peritectic: L+ ErBi ↔ ErBi2	L: Er 0.08; ErBi: Er 0.5; ErBi2: Er 0.333	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	Table 5, p. 8, row 4 report
868	peritectic		experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	p. 2 report	Later, Abdusalyamova and Rakhmatov[18] re-examined the phase diagram of the Er-Bi system using DTA, XRD and metallography, and they discovered a new stoichiometric compound ErBi2, that decomposes peritectically at 868 K.
868	peritectic: L+ ErBi ↔ ErBi2	L: Er 0.08; ErBi: Er 0.5; ErBi2: Er 0.333	model	[1] Bennoui 2022	Table 5, p. 8, row 3 report
868	peritectic		experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	p. 9 report	intermetallic phase ErBi2 proposed by Abdusalyamova and Rachmatov[18] was confirmed with a peritectic decomposition at 868 K.
543	eutectic: L ↔ (Bi) + ErBi2	L: Er 0.005; (Bi): Er 0; ErBi2: Er 0.333	model	[1] Bennoui 2022	Table 5, p. 8, row 1 report
542.5	eutectic: L -> rhombohedral (Bi) + ErBi	L: Er 0.0086; ErBi: Bi 0.5, Er 0.5	model	[3] Wang 2017	Table 5, p. 6, row 2 report
542	eutectic: L -> BiEr + Rhomb_A7 (Bi)	L: Bi 0.99; BiEr: Bi 0.5, Er 0.5	unspecified	[2] Wang 2013 cites Abulkhaev 1992	Table 1, p. 2, row 7 report
542	eutectic: L -> rhombohedral (Bi) + ErBi	L: Er 0.0084; ErBi: Bi 0.5, Er 0.5	unspecified	[3] Wang 2017 cites Abulkhaev 1992	Table 5, p. 6, row 1 report
542	eutectic: L ↔ (Bi) + ErBi2	L: Er 0.003; (Bi): Er 0; ErBi2: Er 0.333	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	Table 5, p. 8, row 2 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–Er system (61)
Phase	Compound	Value	T (K)	Class	MP DFT (kJ/mol-atom)	OQMD DFT (kJ/mol-atom)	Source	Location
Bi3Er5	Bi3Er5	-81 kJ/mol-atom	298.15	experimental	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[2] Wang 2013 cites Petrashkevich 1976	Table 4, p. 4, row 1 report
Bi3Er5	Bi3Er5	-77 kJ/mol-atom	298.15	experimental	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[2] Wang 2013 cites Yamshchikov 1979	Table 4, p. 4, row 2 report
Bi3Er5	Bi3Er5	-69 kJ/mol-atom	0	model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[2] Wang 2013 cites Colinet 1984 doi	Table 4, p. 4, row 4 report
Bi3Er5		-66.035 kJ/mol-atom	0	DFT			[2] Wang 2013	Table 4, p. 4, row 3 report
BiEr	BiEr	-109 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[2] Wang 2013 cites Petrashkevich 1976	Table 4, p. 4, row 6 report
BiEr	BiEr	-103 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[2] Wang 2013 cites Yamshchikov 1979	Table 4, p. 4, row 7 report
BiEr	BiEr	-90 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[2] Wang 2013 cites Borzone 1993 doi	Table 4, p. 4, row 5 report
BiEr		-82.069 kJ/mol-atom	0	DFT			[2] Wang 2013	Table 4, p. 4, row 8 report
BiEr	BiEr	-75 kJ/mol-atom	0	model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[2] Wang 2013 cites Colinet 1984 doi	Table 4, p. 4, row 9 report
Er5Bi3	Bi3Er5	-81 kJ/mol-atom	298.15	experimental	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[3] Wang 2017 cites Petrashkevich 1976	Table 9, p. 7, row 7 report
Er5Bi3	Bi3Er5	-77 kJ/mol-atom	298.15	experimental	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[3] Wang 2017 cites Yamshchikov 1979	Table 9, p. 7, row 8 report
Er5Bi3	Bi3Er5	-70.28 kJ/mol-atom		model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[1] Bennoui 2022 cites Wang 2013 doi	Table 2, p. 5, row 21 report
Er5Bi3	Bi3Er5	-69 kJ/mol-atom		model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[1] Bennoui 2022 cites Colinet 1984 doi	Table 2, p. 5, row 23 report
Er5Bi3	Bi3Er5	-69 kJ/mol-atom		model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[3] Wang 2017 cites Colinet 1984 doi	Table 9, p. 7, row 6 report
Er5Bi3	Bi3Er5	-66.486 kJ/mol-atom		model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[1] Bennoui 2022 cites Wang 2017 doi	Table 2, p. 5, row 22 report
Er5Bi3	Bi3Er5	-66.486 kJ/mol-atom		model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[3] Wang 2017	Table 9, p. 7, row 9 report
Er5Bi3		-66.035 kJ/mol-atom	0	DFT			[1] Bennoui 2022 cites Wang 2013 doi	Table 2, p. 5, row 20 report
Er5Bi3		-64.084 kJ/mol-atom	0	DFT			[1] Bennoui 2022 cites Kirklin 2015 doi	Table 2, p. 5, row 18 report
Er5Bi3		-63.496 kJ/mol-atom	0	DFT			[1] Bennoui 2022	Table 2, p. 5, row 16 report
Er5Bi3	Bi3Er5	-62.917 kJ/mol-atom		model	-62.124 (mp-aaaabuog)	-64.128 (oqmd-18567)	[1] Bennoui 2022	Table 2, p. 5, row 17 report
Er5Bi3		-62.157 kJ/mol-atom	0	DFT			[1] Bennoui 2022 cites Jain 2013 doi	Table 2, p. 5, row 19 report
ErBi	BiEr	-109 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[3] Wang 2017 cites Petrashkevich 1976	Table 9, p. 7, row 2 report
ErBi	BiEr	-103 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[3] Wang 2017 cites Yamshchikov 1979	Table 9, p. 7, row 4 report
ErBi	BiEr	-90 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[3] Wang 2017 cites Borzone 1993 doi	Table 9, p. 7, row 3 report
ErBi	BiEr	-80.35 kJ/mol-atom		model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[3] Wang 2017	Table 9, p. 7, row 5 report
ErBi	BiEr	-75 kJ/mol-atom		model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[3] Wang 2017 cites Colinet 1984 doi	Table 9, p. 7, row 1 report
ErBi2	Bi2Er	-59 kJ/mol-atom		model		-46.37 (oqmd-1800946)	[1] Bennoui 2022 cites Colinet 1984 doi	Table 2, p. 5, row 3 report
ErBi2	Bi2Er	-53.528 kJ/mol-atom		model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 2, p. 5, row 2 report
ErBi2		-45.237 kJ/mol-atom	0	DFT			[1] Bennoui 2022	Table 2, p. 5, row 1 report
ErBi2	Bi2Er	-45.2102 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 16 report
ErBi2 (Ag2Se-type)	Bi2Er	-21.1173 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 5 report
ErBi2 (Al2Cu-type)	Bi2Er	-38.4406 kJ/mol-atom	0	model		-38.396 (oqmd-1039322)	[1] Bennoui 2022	Table 3, p. 6, row 12 report
ErBi2 (AuTe2-type)	Bi2Er	-35.9422 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 11 report
ErBi2 (CaSb2-type)	Bi2Er	-45.9664 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 17 report
ErBi2 (CdI2-type)	Bi2Er	39.6679 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 1 report
ErBi2 (Co2Si-type)	Bi2Er	-45.1803 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 15 report
ErBi2 (CoSi2-type)	Bi2Er	-23.1992 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 6 report
ErBi2 (ErSb2-type)	Bi2Er	-16.5698 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 4 report
ErBi2 (ErSn2-type)		-45.2102 kJ/mol-atom	0	DFT			[1] Bennoui 2022	Table 3, p. 6, row 16 report
ErBi2 (ErTe2-type)	Bi2Er	-43.2532 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 13 report
ErBi2 (Fe2P-type)	Bi2Er	-25.1344 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 8 report
ErBi2 (FeS2-type)	Bi2Er	-25.414 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 9 report
ErBi2 (FeS2-type)	Bi2Er	-15.4151 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 3 report
ErBi2 (LaAs2-type)	Bi2Er	-43.6048 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 14 report
ErBi2 (MoS2-type)	Bi2Er	-23.4701 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 7 report
ErBi2 (MoS2-type)	Bi2Er	15.2241 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 2 report
ErBi2 (MoSi2-type)	Bi2Er	-33.6478 kJ/mol-atom	0	model		-33.717 (oqmd-1040064)	[1] Bennoui 2022	Table 3, p. 6, row 10 report
ErBi2 (NdAs2-type)	Bi2Er	-48.2365 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 19 report
ErBi2 (SmSb2-type)	Bi2Er	-47.7533 kJ/mol-atom	0	model		-46.37 (oqmd-1800946)	[1] Bennoui 2022	Table 3, p. 6, row 18 report
α-ErBi	BiEr	-109 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Petrashkevich 1976	Table 2, p. 5, row 12 report
α-ErBi	BiEr	-103 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Yamshchikov 1979	Table 2, p. 5, row 11 report
α-ErBi	BiEr	-101.3 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Sidorko 2011 doi	Table 2, p. 5, row 14 report
α-ErBi	BiEr	-90 kJ/mol-atom	298.15	experimental	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Borzone 1993 doi	Table 2, p. 5, row 13 report
α-ErBi	BiEr	-83.62 kJ/mol-atom		model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Wang 2013 doi	Table 2, p. 5, row 9 report
α-ErBi		-82.069 kJ/mol-atom	0	DFT			[1] Bennoui 2022 cites Wang 2013 doi	Table 2, p. 5, row 8 report
α-ErBi	BiEr	-80.35 kJ/mol-atom		model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Wang 2017 doi	Table 2, p. 5, row 10 report
α-ErBi		-80.274 kJ/mol-atom		DFT			[1] Bennoui 2022 cites Kirklin 2015 doi	Table 2, p. 5, row 6 report
α-ErBi		-80.005 kJ/mol-atom	0	DFT			[1] Bennoui 2022	Table 2, p. 5, row 4 report
α-ErBi	BiEr	-79.131 kJ/mol-atom		model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022	Table 2, p. 5, row 5 report
α-ErBi		-77.576 kJ/mol-atom		DFT			[1] Bennoui 2022 cites Jain 2013 doi	Table 2, p. 5, row 7 report
α-ErBi	BiEr	-75 kJ/mol-atom		model	-77.511 (mp-aaaabikb)	-80.472 (oqmd-1926318)	[1] Bennoui 2022 cites Colinet 1984 doi	Table 2, p. 5, row 15 report

Other properties

Phase transition (3)

Phase transition, Bi–Er system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Phase transition	2053 K	2053	ErBi	experimental	[1] Bennoui 2022 cites Abdusalyamova 2002 doi	p. 2 report	The ErBi compound has a solid-state phase transformation at 2053 K, [18] but the crystallographic structure of this phase at high temperature has not been determined.
Phase transition	2080 K	2080	congruent melting	experimental	[1] Bennoui 2022	p. 2 report	The highest melting phase in the system belongs to ErBi, which melts congruently at 2080 K.
Phase transition	2080 K	2080	congruent transformation	experimental	[3] Wang 2017	p. 3 report	ErBi congruently melts at the temperature of 2080 K.

Formation (2)

Formation, Bi–Er system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Entropy of formation printed: ΔSf	-2.54 J/mol (basis unstated)/K		Er5Bi3 alloy: Er 0.625	model	[3] Wang 2017	Table 10, p. 7, row 12 report
Entropy of formation printed: ΔSf	-1.93 J/mol (basis unstated)/K		ErBi alloy: Er 0.5	model	[3] Wang 2017	Table 10, p. 7, row 11 report

Activity / EMF / Gibbs energy (12)

Activity / EMF / Gibbs energy, Bi–Er system
Property	Value	T (K)	Phases / composition	Class	Source	Location
Activity coefficient printed: Log(activity coefficient)	-8.47 unknown	873	liquid Bi alloy: Er 0	model	[3] Wang 2017	Table 12, p. 9, row 3 report
Activity coefficient printed: Log(activity coefficient)	-9.01 unknown	873	liquid Bi alloy: Er 0	model	[3] Wang 2017	Table 12, p. 9, row 3 report
Activity coefficient printed: Log(activity coefficient)	-9.21 unknown	873	liquid Bi alloy: Er 0	model	[3] Wang 2017 cites Hajimu 2001	Table 12, p. 9, row 1 report
Activity coefficient printed: Log(activity coefficient)	-9.14 unknown	873	liquid Bi alloy: Er 0	model	[3] Wang 2017 cites Gschneidner 1989 doi	Table 12, p. 9, row 2 report
Activity coefficient printed: Log(activity coefficient)	-8.02 unknown	923	liquid Bi alloy: Er 0	model	[3] Wang 2017	Table 12, p. 9, row 6 report
Activity coefficient printed: Log(activity coefficient)	-8.52 unknown	923	liquid Bi alloy: Er 0	model	[3] Wang 2017	Table 12, p. 9, row 6 report
Activity coefficient printed: Log(activity coefficient)	-8.62 unknown	923	liquid Bi alloy: Er 0	model	[3] Wang 2017 cites Hajimu 2001	Table 12, p. 9, row 4 report
Activity coefficient printed: Log(activity coefficient)	-8.73 unknown	923	liquid Bi alloy: Er 0	model	[3] Wang 2017 cites Gschneidner 1989 doi	Table 12, p. 9, row 5 report
Activity coefficient printed: Log(activity coefficient)	-8.09 unknown	973	liquid Bi alloy: Er 0	model	[3] Wang 2017	Table 12, p. 9, row 9 report
Activity coefficient printed: Log(activity coefficient)	-7.6 unknown	973	liquid Bi alloy: Er 0	model	[3] Wang 2017	Table 12, p. 9, row 9 report
Activity coefficient printed: Log(activity coefficient)	-8.37 unknown	973	liquid Bi alloy: Er 0	model	[3] Wang 2017 cites Gschneidner 1989 doi	Table 12, p. 9, row 8 report
Activity coefficient printed: Log(activity coefficient)	-8.08 unknown	973	liquid Bi alloy: Er 0	model	[3] Wang 2017 cites Hajimu 2001	Table 12, p. 9, row 7 report

Crystal structure (29)

Crystal structure, Bi–Er system
Property	Value	T (K)	Phases / composition	Class	Source	Location
Lattice a	8.171 Å	0	Bi3Er5 alloy: Er 0.625	DFT	[2] Wang 2013	Table 3, p. 3, row 7 report
Lattice a	6.2644 Å	0	BiEr alloy: Er 0.5	DFT	[2] Wang 2013	Table 3, p. 3, row 9 report
Lattice a	8.19 Å	0	Er5Bi3 alloy: Er 0.625	DFT	[1] Bennoui 2022	Table 1, p. 3, row 10 report
Lattice a	8.171 Å	0	Er5Bi3 alloy: Er 0.625	DFT	[1] Bennoui 2022 cites Wang 2013 doi	Table 1, p. 3, row 9 report
Lattice a	6.279 Å	0	ErBi(α) alloy: Er 0.5	DFT	[1] Bennoui 2022	Table 1, p. 3, row 7 report
Lattice a	6.264 Å	0	ErBi(α) alloy: Er 0.5	DFT	[1] Bennoui 2022 cites Wang 2013 doi	Table 1, p. 3, row 6 report
Lattice a	4.18 Å	0	ErBi2 alloy: Er 0.333333	DFT	[1] Bennoui 2022	Table 1, p. 3, row 4 report
Lattice a	8.09 Å	298.15	Bi3Er5 alloy: Er 0.625	experimental	[2] Wang 2013 cites Drzyzga 2001 doi	Table 3, p. 3, row 8 report
Lattice a	6.2023 Å	298.15	BiEr alloy: Er 0.5	experimental	[2] Wang 2013 cites Yoshihara 1975 doi	Table 3, p. 3, row 10 report
Lattice a	8.09 Å	298.15	Er5Bi3 alloy: Er 0.625	experimental	[1] Bennoui 2022 cites Drzyzga 2001 doi	Table 1, p. 3, row 8 report
Lattice a	6.2023 Å	298.15	ErBi(α) alloy: Er 0.5	experimental	[1] Bennoui 2022 cites Yoshihara 1975 doi	Table 1, p. 3, row 5 report
Lattice b	9.446 Å	0	Bi3Er5 alloy: Er 0.625	DFT	[2] Wang 2013	Table 3, p. 3, row 7 report
Lattice b	9.457 Å	0	Er5Bi3 alloy: Er 0.625	DFT	[1] Bennoui 2022	Table 1, p. 3, row 10 report
Lattice b	9.446 Å	0	Er5Bi3 alloy: Er 0.625	DFT	[1] Bennoui 2022 cites Wang 2013 doi	Table 1, p. 3, row 9 report
Lattice b	6.279 Å	0	ErBi(α) alloy: Er 0.5	DFT	[1] Bennoui 2022	Table 1, p. 3, row 7 report
Lattice b	6.264 Å	0	ErBi(α) alloy: Er 0.5	DFT	[1] Bennoui 2022 cites Wang 2013 doi	Table 1, p. 3, row 6 report
Lattice b	7.608 Å	0	ErBi2 alloy: Er 0.333333	DFT	[1] Bennoui 2022	Table 1, p. 3, row 4 report
Lattice b	9.349 Å	298.15	Bi3Er5 alloy: Er 0.625	experimental	[2] Wang 2013 cites Drzyzga 2001 doi	Table 3, p. 3, row 8 report
Lattice b	9.349 Å	298.15	Er5Bi3 alloy: Er 0.625	experimental	[1] Bennoui 2022 cites Drzyzga 2001 doi	Table 1, p. 3, row 8 report
Lattice b	6.2023 Å	298.15	ErBi(α) alloy: Er 0.5	experimental	[1] Bennoui 2022 cites Yoshihara 1975 doi	Table 1, p. 3, row 5 report
Lattice c	11.889 Å	0	Bi3Er5 alloy: Er 0.625	DFT	[2] Wang 2013	Table 3, p. 3, row 7 report
Lattice c	11.919 Å	0	Er5Bi3 alloy: Er 0.625	DFT	[1] Bennoui 2022	Table 1, p. 3, row 10 report
Lattice c	11.889 Å	0	Er5Bi3 alloy: Er 0.625	DFT	[1] Bennoui 2022 cites Wang 2013 doi	Table 1, p. 3, row 9 report
Lattice c	6.279 Å	0	ErBi(α) alloy: Er 0.5	DFT	[1] Bennoui 2022	Table 1, p. 3, row 7 report
Lattice c	6.264 Å	0	ErBi(α) alloy: Er 0.5	DFT	[1] Bennoui 2022 cites Wang 2013 doi	Table 1, p. 3, row 6 report
Lattice c	11.495 Å	0	ErBi2 alloy: Er 0.333333	DFT	[1] Bennoui 2022	Table 1, p. 3, row 4 report
Lattice c	11.806 Å	298.15	Bi3Er5 alloy: Er 0.625	experimental	[2] Wang 2013 cites Drzyzga 2001 doi	Table 3, p. 3, row 8 report
Lattice c	11.806 Å	298.15	Er5Bi3 alloy: Er 0.625	experimental	[1] Bennoui 2022 cites Drzyzga 2001 doi	Table 1, p. 3, row 8 report
Lattice c	6.202 Å	298.15	ErBi(α) alloy: Er 0.5	experimental	[1] Bennoui 2022 cites Yoshihara 1975 doi	Table 1, p. 3, row 5 report

Sources

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

S. Bennoui, Y. Djaballah, V. Vassiliev, A. Belgacem-Bouzida, Thermodynamic Study of Er-Bi and Er-Te Systems by Combination of First-Principles Calculations and the CALPHAD Method, J. Phase Equilib. Diffus. 43, 126-138 (2022). doi:10.1007/s11669-022-00947-8
Jinsan Wang, Changrong Li, Cuiping Guo, Zhenmin Du, Bo Wu, Thermodynamic assessment of the Bi–Er and the Bi–Dy systems, Thermochimica Acta 566, 44-49 (2013). doi:10.1016/j.tca.2013.05.024
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-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}
}