Au–Er system

68 accepted literature values from 1 paper(s) (experimental 20, model 11, DFT 37); 1 calculated phase diagram(s). 5 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 (11) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence class	Values
experimental	20
model	11
DFT	37

Accepted values by property group
Property group	Values
invariant reaction	25
formation	18
crystal structure	25

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
AuEr-11Don.tdb	H.Q. Dong, X.M. Tao, H.S. Liu, T. Laurila, M. Paulastro-Krockel, J. Alloys Compd., 509, 4439-44(2011). doi:10.1016/j.jallcom.2011.01.072	`f614597f077a07e2b62efa4a0456e3a88976e17309be39ab2900ed7e48ddf4cc`	viewer · TDB · JSON

Calculated three-phase invariants (model, mole fraction of the second component)
TDB file	T (K)	Phases at the invariant
AuEr-11Don.tdb	1890.97	AUER_B33 (x(Er) 0.5) + AUER_B2 (x(Er) 0.5) + LIQUID (x(Er) 0.5715)
AuEr-11Don.tdb	1890.97	LIQUID (x(Er) 0.43378) + AUER_B33 (x(Er) 0.5) + AUER_B2 (x(Er) 0.5)
AuEr-11Don.tdb	1635.32	LIQUID (x(Er) 0.35811) + AU10ER7 (x(Er) 0.41176) + AUER_B33 (x(Er) 0.5)
AuEr-11Don.tdb	1635.32	LIQUID (x(Er) 0.35824) + AU10ER7 (x(Er) 0.41176) + AUER_B33 (x(Er) 0.5)
AuEr-11Don.tdb	1627.93	AU2ER_C11B (x(Er) 0.33333) + LIQUID (x(Er) 0.35452) + AU10ER7 (x(Er) 0.41176)
AuEr-11Don.tdb	1627.93	AU2ER_C11B (x(Er) 0.33333) + LIQUID (x(Er) 0.35441) + AU10ER7 (x(Er) 0.41176)
AuEr-11Don.tdb	1542.34	AU3ER_D0A (x(Er) 0.25) + LIQUID (x(Er) 0.26953) + AU2ER_C11B (x(Er) 0.33333)
AuEr-11Don.tdb	1386.71	AUER_B33 (x(Er) 0.5) + AUER2_C37 (x(Er) 0.66667) + LIQUID (x(Er) 0.73631)
AuEr-11Don.tdb	1386.71	AUER_B33 (x(Er) 0.5) + AUER2_C37 (x(Er) 0.66667) + LIQUID (x(Er) 0.73622)
AuEr-11Don.tdb	1314.1	AUER2_C37 (x(Er) 0.66667) + LIQUID (x(Er) 0.79919) + HCP_A3 (x(Er) 0.99288)
AuEr-11Don.tdb	1314.1	AUER2_C37 (x(Er) 0.66667) + LIQUID (x(Er) 0.79925) + HCP_A3 (x(Er) 0.99288)
AuEr-11Don.tdb	1273.86	LIQUID (x(Er) 0.15342) + AU4ER_D1A (x(Er) 0.2) + AU3ER_D0A (x(Er) 0.25)
AuEr-11Don.tdb	1273.85	LIQUID (x(Er) 0.1533) + AU4ER_D1A (x(Er) 0.2) + AU3ER_D0A (x(Er) 0.25)
AuEr-11Don.tdb	1077.82	FCC_A1 (x(Er) 0.07195) + LIQUID (x(Er) 0.10524) + AU4ER_D1A (x(Er) 0.2)
AuEr-11Don.tdb	1077.82	FCC_A1 (x(Er) 0.0719) + LIQUID (x(Er) 0.10518) + AU4ER_D1A (x(Er) 0.2)

Convex hulls: Materials Project DFT hull · OQMD DFT hull

Invariant reactions (literature)

Invariant reactions reported in the literature for the Au–Er system (25)
T (K)	Reaction / phases	Compositions (mole fraction)	Class	Source	Location
1983	L ⇔ βAuEr	L: Au 0.5; βAuEr: Au 0.5, Er 0.5	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 5 report
1979	L ⇔ βAuEr	βAuEr: Au 0.5, Er 0.5	model	[1] Dong 2011	Table 5, p. 5, row 6 report
1893	βAuEr ⇔ αAuEr	βAuEr: Au 0.5; αAuEr: Au 0.5, Er 0.5	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 7 report
1891	βAuEr ⇔ αAuEr	βAuEr: Au 0.5, Er 0.5; αAuEr: Au 0.5, Er 0.5	model	[1] Dong 2011	Table 5, p. 5, row 8 report
1658	L ⇔ Au2Er	L: Au 0.667; Au2Er: Au 0.666667, Er 0.333333	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 15 report
1640	L + αAuEr ⇔ Au10Er7	αAuEr: Au 0.5, Er 0.5; Au10Er7: Au 0.588235, Er 0.411765	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 10 report
1638	L ⇔ Au2Er	Au2Er: Au 0.666667, Er 0.333333	model	[1] Dong 2011	Table 5, p. 5, row 16 report
1635	L + αAuEr ⇔ Au10Er7	L: Au 0.642; αAuEr: Au 0.5, Er 0.5; Au10Er7: Au 0.588235, Er 0.411765	model	[1] Dong 2011	Table 5, p. 5, row 11 report
1628	L ⇔ Au2Er + Au10Er7	L: Au 0.646; Au2Er: Au 0.666667, Er 0.333333; Au10Er7: Au 0.588235, Er 0.411765	model	[1] Dong 2011	Table 5, p. 5, row 14 report
1623	L + αAuEr ⇔ Au10Er7	L: Au 0.6; αAuEr: Au 0.5, Er 0.5; Au10Er7: Au 0.588235, Er 0.411765	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 9 report
1601	L ⇔ Au2Er + Au10Er7	Au2Er: Au 0.666667, Er 0.333333; Au10Er7: Au 0.588235, Er 0.411765	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 13 report
1583	L ⇔ Au2Er + Au10Er7	L: Au 0.625; Au2Er: Au 0.666667, Er 0.333333; Au10Er7: Au 0.588235, Er 0.411765	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 12 report
1558	L ⇔ Au3Er	L: Au 0.75; Au3Er: Au 0.75, Er 0.25	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 19 report
1553	L ⇔ Au3Er	Au3Er: Au 0.75, Er 0.25	model	[1] Dong 2011	Table 5, p. 5, row 20 report
1542	L ⇔ Au2Er + Au3Er	L: Au 0.731; Au2Er: Au 0.666667, Er 0.333333; Au3Er: Au 0.75, Er 0.25	model	[1] Dong 2011	Table 5, p. 5, row 18 report
1528	L ⇔ Au2Er + Au3Er	L: Au 0.73; Au2Er: Au 0.666667, Er 0.333333; Au3Er: Au 0.75, Er 0.25	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 17 report
1393	L + αAuEr ⇔ AuEr2	L: Au 0.3; αAuEr: Au 0.5, Er 0.5; AuEr2: Au 0.333333, Er 0.666667	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 3 report
1387	L + αAuEr ⇔ AuEr2	L: Au 0.264; αAuEr: Au 0.5, Er 0.5; AuEr2: Au 0.333333, Er 0.666667	model	[1] Dong 2011	Table 5, p. 5, row 4 report
1314	L ⇔ Er(hcp) + AuEr2	L: Au 0.2; AuEr2: Au 0.333333, Er 0.666667	model	[1] Dong 2011	Table 5, p. 5, row 2 report
1303	L ⇔ Er(hcp) + AuEr2	L: Au 0.24; AuEr2: Au 0.333333, Er 0.666667	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 1 report
1274	L + Au3Er ⇔ Au4Er	L: Au 0.847; Au3Er: Au 0.75, Er 0.25; Au4Er: Au 0.8, Er 0.2	model	[1] Dong 2011	Table 5, p. 5, row 22 report
1273	L + Au3Er ⇔ Au4Er	L: Au 0.825; Au3Er: Au 0.75, Er 0.25; Au4Er: Au 0.8, Er 0.2	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 21 report
1085	L ⇔ Au4Er + Au(fcc)	Au4Er: Au 0.8, Er 0.2; Au(fcc): Au 0.943	experimental	[1] Dong 2011 cites Rider 1965	Table 5, p. 5, row 24 report
1078	L ⇔ Au4Er + Au(fcc)	L: Au 0.895; Au4Er: Au 0.8, Er 0.2; Au(fcc): Au 0.929	model	[1] Dong 2011	Table 5, p. 5, row 25 report
1078	L ⇔ Au4Er + Au(fcc)	L: Au 0.89; Au4Er: Au 0.8, Er 0.2; Au(fcc): Au 0.945	experimental	[1] Dong 2011 cites Saccone 2002 doi	Table 5, p. 5, row 23 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, Au–Er system (18)
Phase	Compound	Value	T (K)	Class	MP DFT (kJ/mol-atom)	OQMD DFT (kJ/mol-atom)	Source	Location
Au2Er		-88.4 kJ/mol-atom	0	DFT			[1] Dong 2011	Table 1, p. 3, row 24 report
Au2Er		-86 kJ/mol-atom		DFT			[1] Dong 2011	Table 1, p. 3, row 25 report
Au2Er	Au2Er	-85.9 kJ/mol-atom ± 1.9	298.15	experimental	-84.933 (mp-aaaaadqw)	-85.367 (oqmd-1979285)	[1] Dong 2011	Table 1, p. 3, row 26 report
Au2Er	Au2Er	-79 kJ/mol-atom	298.15	experimental	-84.933 (mp-aaaaadqw)	-85.367 (oqmd-1979285)	[1] Dong 2011	Table 1, p. 3, row 27 report
Au3Er		-73 kJ/mol-atom	0	DFT			[1] Dong 2011	Table 1, p. 3, row 29 report
Au3Er		-71.1 kJ/mol-atom		DFT			[1] Dong 2011	Table 1, p. 3, row 30 report
Au3Er	Au3Er	-66.1 kJ/mol-atom ± 1.9	298.15	experimental	-69.749 (mp-aaacjmto)	-69.851 (oqmd-28151)	[1] Dong 2011	Table 1, p. 3, row 31 report
Au3Er	Au3Er	-65.9 kJ/mol-atom	298.15	experimental	-69.749 (mp-aaacjmto)	-69.851 (oqmd-28151)	[1] Dong 2011	Table 1, p. 3, row 32 report
Au4Er		-60.3 kJ/mol-atom	0	DFT			[1] Dong 2011	Table 1, p. 3, row 34 report
Au4Er		-59.2 kJ/mol-atom		DFT			[1] Dong 2011	Table 1, p. 3, row 35 report
AuEr2		-67 kJ/mol-atom	0	DFT			[1] Dong 2011	Table 1, p. 3, row 12 report
AuEr2		-52.2 kJ/mol-atom		DFT			[1] Dong 2011	Table 1, p. 3, row 13 report
αAuEr		-90.9 kJ/mol-atom	0	DFT			[1] Dong 2011	Table 1, p. 3, row 15 report
αAuEr	AuEr	-90.2 kJ/mol-atom ± 1.9	298.15	experimental	-86.805 (mp-aaaaaqql)	-86.693 (oqmd-10719)	[1] Dong 2011	Table 1, p. 3, row 17 report
αAuEr		-77 kJ/mol-atom		DFT			[1] Dong 2011	Table 1, p. 3, row 16 report
βAuEr		-88.6 kJ/mol-atom	0	DFT			[1] Dong 2011	Table 1, p. 3, row 19 report
βAuEr		-87.7 kJ/mol-atom		DFT			[1] Dong 2011	Table 1, p. 3, row 20 report
βAuEr	AuEr	-85.1 kJ/mol-atom	298.15	experimental	-86.805 (mp-aaaaaqql)	-86.693 (oqmd-10719)	[1] Dong 2011	Table 1, p. 3, row 21 report

Other properties

Crystal structure (25)

Crystal structure, Au–Er system
Property	Value	T (K)	Phases / composition	Class	Source	Location
Lattice a printed: a	10.17 Å		Au10Er7 alloy: Er 0.411765	DFT	[1] Dong 2011 cites Saccone 2002 doi	Table 1, p. 3, row 23 report
Lattice a printed: a	3.663 Å		Au2Er alloy: Er 0.333333	DFT	[1] Dong 2011 cites Sadagopan 1968 doi	Table 1, p. 3, row 28 report
Lattice a printed: Lattice parameter a	3.663 Å	0	Au2Er alloy: Er 0.333333	DFT	[1] Dong 2011	Table 1, p. 3, row 24 report
Lattice a printed: a	6.029 Å		Au3Er alloy: Er 0.25	DFT	[1] Dong 2011 cites Sadagopan 1968 doi	Table 1, p. 3, row 33 report
Lattice a printed: a	6.029 Å	0	Au3Er alloy: Er 0.25	DFT	[1] Dong 2011	Table 1, p. 3, row 29 report
Lattice a printed: a	6.636 Å		Au4Er alloy: Er 0.2	DFT	[1] Dong 2011 cites Sadagopan 1968 doi	Table 1, p. 3, row 36 report
Lattice a printed: Lattice parameter a	6.636 Å	0	Au4Er alloy: Er 0.2	DFT	[1] Dong 2011	Table 1, p. 3, row 34 report
Lattice a printed: Lattice parameter a	6.996 Å	0	AuEr2 alloy: Er 0.666667	DFT	[1] Dong 2011	Table 1, p. 3, row 12 report
Lattice a printed: a	6.996 Å		AuEr2 alloy: Er 0.666667	DFT	[1] Dong 2011 cites McMasters 1971 doi	Table 1, p. 3, row 14 report
Lattice a printed: a	3.65 Å		αAuEr alloy: Er 0.5	DFT	[1] Dong 2011 cites McMasters 1971 doi	Table 1, p. 3, row 18 report
Lattice a printed: a	3.65 Å	0	αAuEr alloy: Er 0.5	DFT	[1] Dong 2011	Table 1, p. 3, row 15 report
Lattice a printed: a	3.535 Å		βAuEr alloy: Er 0.5	DFT	[1] Dong 2011 cites McMasters 1971 doi	Table 1, p. 3, row 22 report
Lattice a printed: a	3.535 Å	0	βAuEr alloy: Er 0.5	DFT	[1] Dong 2011	Table 1, p. 3, row 19 report
Lattice b printed: b	4.949 Å		Au3Er alloy: Er 0.25	DFT	[1] Dong 2011 cites Sadagopan 1968 doi	Table 1, p. 3, row 33 report
Lattice b printed: b	4.949 Å	0	Au3Er alloy: Er 0.25	DFT	[1] Dong 2011	Table 1, p. 3, row 29 report
Lattice b printed: Lattice parameter b	4.869 Å	0	AuEr2 alloy: Er 0.666667	DFT	[1] Dong 2011	Table 1, p. 3, row 12 report
Lattice b printed: b	4.869 Å		AuEr2 alloy: Er 0.666667	DFT	[1] Dong 2011 cites McMasters 1971 doi	Table 1, p. 3, row 14 report
Lattice b printed: b	10.81 Å		αAuEr alloy: Er 0.5	DFT	[1] Dong 2011 cites McMasters 1971 doi	Table 1, p. 3, row 18 report
Lattice b printed: b	10.81 Å	0	αAuEr alloy: Er 0.5	DFT	[1] Dong 2011	Table 1, p. 3, row 15 report
Lattice c printed: c	27.63 Å		Au10Er7 alloy: Er 0.411765	DFT	[1] Dong 2011 cites Saccone 2002 doi	Table 1, p. 3, row 23 report
Lattice c printed: c	8.916 Å	0	Au2Er alloy: Er 0.333333	DFT	[1] Dong 2011	Table 1, p. 3, row 24 report
Lattice c printed: Lattice parameter c	5.079 Å	0	Au3Er alloy: Er 0.25	DFT	[1] Dong 2011	Table 1, p. 3, row 29 report
Lattice c printed: c	4.149 Å	0	Au4Er alloy: Er 0.2	DFT	[1] Dong 2011	Table 1, p. 3, row 34 report
Lattice c printed: Lattice parameter c	8.802 Å	0	AuEr2 alloy: Er 0.666667	DFT	[1] Dong 2011	Table 1, p. 3, row 12 report
Lattice c printed: Lattice parameter c	4.58 Å	0	αAuEr alloy: Er 0.5	DFT	[1] Dong 2011	Table 1, p. 3, row 15 report

Sources

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

H.Q. Dong, X.M. Tao, H.S. Liu, T. Laurila, M. Paulastro-Kröckel, Thermodynamic assessment of Au–La and Au–Er binary systems, Journal of Alloys and Compounds 509, 4439-4444 (2011). doi:10.1016/j.jallcom.2011.01.072

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}
}