Bi–Ho system

26 accepted literature values from 1 paper(s) (experimental 8, model 6, DFT 8, unspecified 4); 1 calculated phase diagram(s). 1 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 (7) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence classValues
experimental8
model6
DFT8
unspecified4
Accepted values by property group
Property groupValues
invariant reaction11
phase transition1
formation4
crystal structure10

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 fileAssessmentSHA-256Links
BiHo-13Wan.tdbJ. Wang, C. Li, C. Guo, Z. Du, B. Wu, Calphad, 41, 1-5(2013). doi:10.1016/j.calphad.2013.01.0039736aaaf125291af70ca6339bcc9ac76fad99e4ea6a14836a060811db1e49022viewer · TDB · JSON
Calculated three-phase invariants (model, mole fraction of the second component)
TDB fileT (K)Phases at the invariant
BiHo-13Wan.tdb1696.49BIHO_B1 (x(Ho) 0.5) + BI3HO5 (x(Ho) 0.625) + LIQUID (x(Ho) 0.68294)
BiHo-13Wan.tdb1696.49BIHO_B1 (x(Ho) 0.5) + BI3HO5 (x(Ho) 0.625) + LIQUID (x(Ho) 0.68299)
BiHo-13Wan.tdb1696.49BIHO_B1 (x(Ho) 0.5) + BI3HO5 (x(Ho) 0.625) + LIQUID (x(Ho) 0.6829)
BiHo-13Wan.tdb1433.14BI3HO5 (x(Ho) 0.625) + LIQUID (x(Ho) 0.82032) + HCP_A3 (x(Ho) 0.98448)
BiHo-13Wan.tdb1433.14BI3HO5 (x(Ho) 0.625) + LIQUID (x(Ho) 0.82033) + HCP_A3 (x(Ho) 0.98448)
BiHo-13Wan.tdb543.95RHOMBOHEDRAL_A7 (x(Ho) 0) + LIQUID (x(Ho) 0.00275) + BIHO_B1 (x(Ho) 0.5)
BiHo-13Wan.tdb543.95RHOMBOHEDRAL_A7 (x(Ho) 0) + LIQUID (x(Ho) 0.00269) + BIHO_B1 (x(Ho) 0.5)

Convex hulls: Materials Project DFT hull · OQMD DFT hull

Invariant reactions (literature)

Invariant reactions reported in the literature for the Bi–Ho system (11)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
2048congruent melting: L -> HoBiL: Bi 0.5; HoBi: Bi 0.5, Ho 0.5unspecified[1] Wang 2013
cites Abulkhaev 1993
Table 2, p. 2, row 5
report
2048congruent melting: L -> HoBiL: Bi 0.5; HoBi: Bi 0.5, Ho 0.5model[1] Wang 2013Table 2, p. 2, row 6
report
1693peritectic: L + HoBi -> Ho5Bi3L: Bi 0.315; HoBi: Bi 0.5, Ho 0.5; Ho5Bi3: Bi 0.375, Ho 0.625model[1] Wang 2013Table 2, p. 2, row 4
report
1693peritectic: L + HoBi -> Ho5Bi3L: Bi 0.31; HoBi: Bi 0.5, Ho 0.5; Ho5Bi3: Bi 0.375, Ho 0.625unspecified[1] Wang 2013
cites Abulkhaev 1993
Table 2, p. 2, row 3
report
1693peritectic: L + HoBi -> Ho5Bi3experimental[1] Wang 2013p. 2
report
was formed by the peritectic reactions, LþHoBi2Ho5Bi3 at 1693 K.
1428eutectic: L -> Ho5Bi3 + Hcp_A3 (Ho)L: Bi 0.18; Ho5Bi3: Bi 0.375, Ho 0.625unspecified[1] Wang 2013
cites Abulkhaev 1993
Table 2, p. 2, row 1
report
1428eutectic: L -> Hcp_A3 (Ho) + Ho5Bi3experimental[1] Wang 2013p. 2
report
There were two eutectic reactions, L2Hcp_A3 (Ho)þ Ho5Bi3 at 1428 K and L2Rhomb (Bi)þHoBi at 544 K.
1428eutectic: L -> Ho5Bi3 + Hcp_A3 (Ho)L: Bi 0.179; Ho5Bi3: Bi 0.375, Ho 0.625model[1] Wang 2013Table 2, p. 2, row 2
report
544eutectic: L -> HoBi + Rhomb_A7 (Bi)L: Bi 0.99; HoBi: Bi 0.5, Ho 0.5unspecified[1] Wang 2013
cites Abulkhaev 1993
Table 2, p. 2, row 7
report
544eutectic: L -> Rhomb (Bi) + HoBiexperimental[1] Wang 2013p. 2
report
There were two eutectic reactions, L2Hcp_A3 (Ho)þ Ho5Bi3 at 1428 K and L2Rhomb (Bi)þHoBi at 544 K.
543.9eutectic: L -> HoBi + Rhomb_A7 (Bi)L: Bi 0.995; HoBi: Bi 0.5, Ho 0.5model[1] Wang 2013Table 2, p. 2, row 8
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–Ho system (4)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
Ho5Bi3Bi3Ho5-71 kJ/mol-atom0model-64.046 (mp-aaaabuof)-66.027 (oqmd-18566)[1] Wang 2013
cites Colinet 1984 doi
Table 5, p. 3, row 21
report
Ho5Bi3-67.807 kJ/mol-atom0DFT[1] Wang 2013Table 5, p. 3, row 20
report
HoBi-84.4462 kJ/mol-atom0DFT[1] Wang 2013Table 5, p. 3, row 22
report
HoBiBiHo-77 kJ/mol-atom0model-79.808 (mp-aaaabhvm)-82.775 (oqmd-1926646)[1] Wang 2013
cites Colinet 1984 doi
Table 5, p. 3, row 23
report

Other properties

Phase transition (1)

Phase transition, Bi–Ho system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Phase transition2048 K2048congruent meltingexperimental[1] Wang 2013p. 2
report
The compound HoBi melted congruently at about 2048 K.

Crystal structure (10)

Crystal structure, Bi–Ho system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Lattice a8.194 Å0Ho5Bi3
alloy: Ho 0.625
DFT[1] Wang 2013Table 3, p. 3, row 7
report
Lattice a6.2853 Å0HoBi
alloy: Ho 0.5
DFT[1] Wang 2013Table 3, p. 3, row 9
report
Lattice a8.128 Å298.15Ho5Bi3
alloy: Ho 0.625
experimental[1] Wang 2013
cites Drzyzga 2001 doi
Table 3, p. 3, row 8
report
Lattice a6.2291 Å298.15HoBi
alloy: Ho 0.5
experimental[1] Wang 2013
cites Yoshihara 1975 doi
Table 3, p. 3, row 10
report
Lattice b9.469 Å0Ho5Bi3
alloy: Ho 0.625
DFT[1] Wang 2013Table 3, p. 3, row 7
report
Lattice b9.385 Å298.15Ho5Bi3
alloy: Ho 0.625
experimental[1] Wang 2013
cites Drzyzga 2001 doi
Table 3, p. 3, row 8
report
Lattice c11.942 Å0Ho5Bi3
alloy: Ho 0.625
DFT[1] Wang 2013Table 3, p. 3, row 7
report
Lattice c11.874 Å298.15Ho5Bi3
alloy: Ho 0.625
experimental[1] Wang 2013
cites Drzyzga 2001 doi
Table 3, p. 3, row 8
report
Molar volume
printed: V0
926.568 Å30Ho5Bi3
alloy: Ho 0.625
DFT[1] Wang 2013Table 4, p. 3, row 4
report
Molar volume
printed: V0
62.075 Å30HoBi
alloy: Ho 0.5
DFT[1] Wang 2013Table 4, 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).

  1. Jinsan Wang, Changrong Li, Cuiping Guo, Zhenmin Du, Bo Wu, Thermodynamic assessment of the Gd–Bi and the Ho–Bi systems, Calphad 41, 1-5 (2013). doi:10.1016/j.calphad.2013.01.003