Bi–Na system

45 accepted literature values from 1 paper(s) (experimental 36, model 9); 1 calculated phase diagram(s).

Data: JSON · CSV · interactive explorer · interactive phase diagram · phases (7) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence class	Values
experimental	36
model	9

Accepted values by property group
Property group	Values
invariant reaction	12
phase transition	19
phase equilibrium	1
formation	13

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
BiNa-13Liu.tdb	Y. Liu, Z. Kang, J. Wang, Thermochim. Acta, 558, 53-60(2013). doi:10.1016/j.tca.2013.01.029	`8c20e65805717473a5c270c44e46b8eccc86c838e41714931b086efad6c92640`	viewer · TDB · JSON

Calculated three-phase invariants (model, mole fraction of the second component)
TDB file	T (K)	Phases at the invariant
BiNa-13Liu.tdb	717.64	LIQUID (x(Na) 0.4673) + BINA_L10 (x(Na) 0.5) + BINA3_D018 (x(Na) 0.75)
BiNa-13Liu.tdb	490.91	RHOMBOHEDRAL_A7 (x(Na) 0) + LIQUID (x(Na) 0.19993) + BINA_L10 (x(Na) 0.5)
BiNa-13Liu.tdb	370.87	BINA3_D018 (x(Na) 0.75) + BCC_A2 (x(Na) 1) + LIQUID (x(Na) 1)

Convex hulls: Materials Project DFT hull · OQMD DFT hull

Invariant reactions (literature)

Invariant reactions reported in the literature for the Bi–Na system (12)
T (K)	Reaction / phases	Compositions (mole fraction)	Class	Source	Location
719	liq + BiNa3 -> BiNa	BiNa3: Na 0.75; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Klebanov 1985	Table 6, p. 7, row 9 report
718	liq + BiNa3 -> BiNa	liq: Na 0.46; BiNa3: Na 0.75; BiNa: Na 0.5	model	[1] Liu 2013	Table 6, p. 7, row 5 report
718	liq + BiNa3 -> BiNa	BiNa3: Na 0.75; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Vournasos 1944	Table 6, p. 7, row 8 report
718	liq + BiNa3 -> BiNa	liq: Na 0.469; BiNa3: Na 0.75; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Mathewson 1906 doi	Table 6, p. 7, row 6 report
717	liq + BiNa3 -> BiNa	liq: Na 0.48; BiNa3: Na 0.75; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Johnson 1970 doi	Table 6, p. 7, row 7 report
491	eutectic: liq -> Bi + BiNa	Bi: Na 0; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Mathewson 1906 doi	Table 6, p. 7, row 2 report
490.9	eutectic: liq -> Bi + BiNa	liq: Na 0.2; Bi: Na 0; BiNa: Na 0.5	model	[1] Liu 2013	Table 6, p. 7, row 1 report
489	eutectic: liq -> Bi + BiNa	Bi: Na 0; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Johnson 1970 doi	Table 6, p. 7, row 3 report
487	eutectic: liq -> Bi + BiNa	Bi: Na 0; BiNa: Na 0.5	experimental	[1] Liu 2013 cites Vournasos 1944	Table 6, p. 7, row 4 report
370.9	eutectic: liq -> BiNa3 + Na	liq: Na 0.999; BiNa3: Na 0.75	model	[1] Liu 2013	Table 6, p. 7, row 17 report
370.7	eutectic: liq -> BiNa3 + Na	BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Johnson 1970 doi	Table 6, p. 7, row 19 report
370	eutectic: liq -> BiNa3 + Na	BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Mathewson 1906 doi	Table 6, p. 7, row 18 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–Na system (8)
Phase	Compound	Value	T (K)	Class	MP DFT (kJ/mol-atom)	OQMD DFT (kJ/mol-atom)	Source	Location	Quote
BiNa		-78.3 kJ/mol (basis unstated)	298.15	experimental			[1] Liu 2013 cites Seith 1937	p. 2 report	The enthalpies of formation of BiNa at 298 K were reported to be -78.3 kJ/mol, relative to pure liquids, from direct reaction calorimetry by Seith and Kubaschewski [43] and Kubaschewski and Catterall [44].
BiNa(s)	BiNa	-42.45 kJ/mol-atom		model	-28.197 (mp-aaaabhxs)	-35.373 (oqmd-28744)	[1] Liu 2013	Table 5, p. 7, row 1 report
BiNa(s)	BiNa	-41.6 kJ/mol-atom	298.15	experimental	-28.197 (mp-aaaabhxs)	-35.373 (oqmd-28744)	[1] Liu 2013 cites Iwase 1984	Table 5, p. 7, row 3 report
BiNa(s)	BiNa	-39.75 kJ/mol-atom	298.15	experimental	-28.197 (mp-aaaabhxs)	-35.373 (oqmd-28744)	[1] Liu 2013 cites Foster 1967	Table 5, p. 7, row 2 report
BiNa(s)	BiNa	-39.15 kJ/mol-atom	298.15	experimental	-28.197 (mp-aaaabhxs)	-35.373 (oqmd-28744)	[1] Liu 2013 cites Seith 1937	Table 5, p. 7, row 4 report
BiNa3(s)	BiNa3	-57.325 kJ/mol-atom		model	-35.636 (mp-aaaabpes)	-45.638 (oqmd-2053479)	[1] Liu 2013	Table 5, p. 7, row 5 report
BiNa3(s)	BiNa3	-56 kJ/mol-atom	298.15	experimental	-35.636 (mp-aaaabpes)	-45.638 (oqmd-2053479)	[1] Liu 2013 cites Foster 1967	Table 5, p. 7, row 6 report
BiNa3(s)	BiNa3	-52.5 kJ/mol-atom	298.15	experimental	-35.636 (mp-aaaabpes)	-45.638 (oqmd-2053479)	[1] Liu 2013 cites Seith 1937	Table 5, p. 7, row 7 report

Other properties

Phase transition (19)

Phase transition, Bi–Na system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Phase transition	717 K	717	BiNa	experimental	[1] Liu 2013 cites Zintl 1932 doi	p. 2 report	Zintl and Dullenkopf [26] studied the BiNa solid phase with XRD (X-ray diffraction), the results of which showed that this compound melts incongruently at 717 K.
Phase transition	717 K	717	BiNa + BiNa3 + liquid	experimental	[1] Liu 2013	p. 2 report	BiNa melts incongruently, with the formation of Bi-Na melts and BiNa3 when the temperature is raised above 717 K.
Phase transition	718 K	718	BiNa	experimental	[1] Liu 2013 cites Vournasos 1944	p. 2 report	Such an invariant reaction was reported to be around 46.9 at.% Na at 718 K by Mathewson [19], at 718 K by Vournasos [27,28], and at 719 K by Klebanov et al. [29].
Phase transition	719 K	719	BiNa	experimental	[1] Liu 2013 cites Klebanov 1985	p. 2 report	Such an invariant reaction was reported to be around 46.9 at.% Na at 718 K by Mathewson [19], at 718 K by Vournasos [27,28], and at 719 K by Klebanov et al. [29].
Phase transition	993 K	993	congruent transformation	experimental	[1] Liu 2013 cites Kurnakow 1900 doi	p. 2 report	The BiNa3 solid phase was reported to melt congruently, the melting temperature of which was characterized by thermal analysis at 993 K by Kurnakow [18], 1048 K by Mathewson [19], 1121 K by Johnson and Fischer [23] and 1049 K by Vournasos [27,28].
Phase transition	993 K	993	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Kurnakow 1900 doi	Table 6, p. 7, row 11 report
Phase transition	1048 K	1048	congruent transformation	experimental	[1] Liu 2013 cites Mathewson 1906 doi	p. 2 report	The BiNa3 solid phase was reported to melt congruently, the melting temperature of which was characterized by thermal analysis at 993 K by Kurnakow [18], 1048 K by Mathewson [19], 1121 K by Johnson and Fischer [23] and 1049 K by Vournasos [27,28].
Phase transition	1048 K	1048	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Mathewson 1906 doi	Table 6, p. 7, row 12 report
Phase transition	1049 K	1049	congruent transformation	experimental	[1] Liu 2013 cites Vournasos 1944	p. 2 report	The BiNa3 solid phase was reported to melt congruently, the melting temperature of which was characterized by thermal analysis at 993 K by Kurnakow [18], 1048 K by Mathewson [19], 1121 K by Johnson and Fischer [23] and 1049 K by Vournasos [27,28].
Phase transition	1049 K	1049	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Vournasos 1944	Table 6, p. 7, row 15 report
Phase transition	1115 K	1115	BiNa3	experimental	[1] Liu 2013 cites Fischer 1967 doi	p. 2 report	Other reports include 1115 K from change of slope in the vapor pressure against temperature relations by Fischer et al. [20], 1121 K by electrochemical measurements of Klebanov et al. [29], and 1123.4 K identified by enthalpy measurements by Frederickson et al. [30].
Phase transition	1118 K	1118	congruent melting	model	[1] Liu 2013 cites Sangster 1991 doi	p. 2 report	According to the assessed phase diagram, there exist two binary intermetallic phases, i.e. BiNa3 and BiNa. BiNa3 melts congruently around 1118 K, and the liquidus around BiNa3 shows a certain degree of steepness, indicating the presence of short-range ordering for the melts around such a composition.
Phase transition	1118 K	1118	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	model	[1] Liu 2013	Table 6, p. 7, row 10 report
Phase transition	1121 K	1121	BiNa3	experimental	[1] Liu 2013 cites Klebanov 1985	p. 2 report	Other reports include 1115 K from change of slope in the vapor pressure against temperature relations by Fischer et al. [20], 1121 K by electrochemical measurements of Klebanov et al. [29], and 1123.4 K identified by enthalpy measurements by Frederickson et al. [30].
Phase transition	1121 K	1121	congruent transformation	experimental	[1] Liu 2013 cites Johnson 1970 doi	p. 2 report	The BiNa3 solid phase was reported to melt congruently, the melting temperature of which was characterized by thermal analysis at 993 K by Kurnakow [18], 1048 K by Mathewson [19], 1121 K by Johnson and Fischer [23] and 1049 K by Vournasos [27,28].
Phase transition	1121 K	1121	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Egan 1985	Table 6, p. 7, row 14 report
Phase transition	1121 K	1121	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Johnson 1970 doi	Table 6, p. 7, row 13 report
Phase transition	1123.4 K	1123.4	BiNa3	experimental	[1] Liu 2013 cites Frederickson 1970	p. 2 report	Other reports include 1115 K from change of slope in the vapor pressure against temperature relations by Fischer et al. [20], 1121 K by electrochemical measurements of Klebanov et al. [29], and 1123.4 K identified by enthalpy measurements by Frederickson et al. [30].
Phase transition	1123.4 K	1123.4	liq -> BiNa3 liq: Na 0.75; BiNa3: Na 0.75	experimental	[1] Liu 2013 cites Frederickson 1970	Table 6, p. 7, row 16 report

Phase equilibrium (1)

Phase equilibrium, Bi–Na system
Property	Value	T (K)	Phases / composition	Class	Source	Location	Quote
Phase assemblage		718	BiNa alloy: Na 0.469	experimental	[1] Liu 2013 cites Mathewson 1906 doi	p. 2 report	Such an invariant reaction was reported to be around 46.9 at.% Na at 718 K by Mathewson [19], at 718 K by Vournasos [27,28], and at 719 K by Klebanov et al. [29].

Formation (5)

Formation, Bi–Na system
Property	Value	T (K)	Phases / composition	Class	Source	Location
Entropy of formation printed: ΔfS	-14.7 J/mol-atom/K		BiNa(s) alloy: Na 0.5	model	[1] Liu 2013	Table 5, p. 7, row 1 report
Entropy of formation printed: ΔfS	-19.725 J/mol-atom/K		BiNa3(s) alloy: Na 0.75	model	[1] Liu 2013	Table 5, p. 7, row 5 report
Entropy of formation printed: ΔfS	-13.8 J/mol-atom/K	298.15	BiNa(s) alloy: Na 0.5	experimental	[1] Liu 2013 cites Foster 1967	Table 5, p. 7, row 2 report
Entropy of formation printed: ΔfS	-15.45 J/mol-atom/K	298.15	BiNa(s) alloy: Na 0.5	experimental	[1] Liu 2013 cites Iwase 1984	Table 5, p. 7, row 3 report
Entropy of formation printed: ΔfS	-24.5 J/mol-atom/K	298.15	BiNa3(s) alloy: Na 0.75	experimental	[1] Liu 2013 cites Foster 1967	Table 5, p. 7, row 6 report

Sources

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

Yajun Liu, Zhitao Kang, Jiang Wang, Thermodynamic basis and related phase equilibria for Bi–Li and Bi–Na binary systems, Thermochimica Acta 558, 53-60 (2013). doi:10.1016/j.tca.2013.01.029

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}
}