Bi–Ce system
56 accepted literature values from 2 paper(s) (experimental 19, model 36, unspecified 1); 2 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 (11) · papers (bibliography) · Markdown
| Evidence class | Values |
|---|---|
| experimental | 19 |
| model | 36 |
| unspecified | 1 |
| Property group | Values |
|---|---|
| invariant reaction | 26 |
| phase transition | 3 |
| formation | 20 |
| mixing / partial | 5 |
| activity / EMF / Gibbs energy | 2 |
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.
| TDB file | Assessment | SHA-256 | Links |
|---|---|---|---|
| BiCe-12Li.tdb | J. Li, Y. Cai, Q. Chen, H. Zhang, H.S. Liu, Z.P. Jin, Calphad, 38, 133-39(2012). doi:10.1016/j.calphad.2012.05.004 | a261b33b47f12b953e299f768bc804c48f9b28e66d7c2eb6d4212cdfecdd1434 | viewer · TDB · JSON |
| BiCe-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 | 7b39a0f2a6bf4ab9f62ea2fc41e258ef69c8b61339030b7acdb9dfa90e45a06c | viewer · TDB · JSON |
| TDB file | T (K) | Phases at the invariant |
|---|---|---|
| BiCe-12Li.tdb | 1901.02 | LIQUID (x(Ce) 0.47037) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143) |
| BiCe-12Li.tdb | 1901.02 | LIQUID (x(Ce) 0.47066) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143) |
| BiCe-12Li.tdb | 1901.02 | LIQUID (x(Ce) 0.47032) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143) |
| BiCe-12Li.tdb | 1661.76 | BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75798) |
| BiCe-12Li.tdb | 1661.76 | BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75786) |
| BiCe-12Li.tdb | 1515.97 | BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.81052) |
| BiCe-12Li.tdb | 1515.97 | BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.81046) |
| BiCe-12Li.tdb | 1515.97 | BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.81062) |
| BiCe-12Li.tdb | 1182.99 | LIQUID (x(Ce) 0.18726) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5) |
| BiCe-12Li.tdb | 1182.99 | LIQUID (x(Ce) 0.18721) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5) |
| BiCe-12Li.tdb | 1182.99 | LIQUID (x(Ce) 0.18738) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5) |
| BiCe-12Li.tdb | 1055.2 | BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.97323) + BCC_A2 (x(Ce) 0.98633) |
| BiCe-12Li.tdb | 1055.2 | BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.97335) + BCC_A2 (x(Ce) 0.98636) |
| BiCe-12Li.tdb | 975.52 | BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99229) + FCC_A1 (x(Ce) 1) |
| BiCe-12Li.tdb | 975.52 | BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.9923) + FCC_A1 (x(Ce) 1) |
| BiCe-12Li.tdb | 975.52 | BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99231) + FCC_A1 (x(Ce) 1) |
| BiCe-12Li.tdb | 544.44 | RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 5.200e-4) + BI2CE (x(Ce) 0.33333) |
| BiCe-12Li.tdb | 544.44 | RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 5.200e-4) + BI2CE (x(Ce) 0.33333) |
| BiCe-17Wan.tdb | 1898.53 | LIQUID (x(Ce) 0.47205) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143) |
| BiCe-17Wan.tdb | 1898.53 | LIQUID (x(Ce) 0.47231) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143) |
| BiCe-17Wan.tdb | 1898.53 | LIQUID (x(Ce) 0.47197) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143) |
| BiCe-17Wan.tdb | 1674.81 | BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75337) |
| BiCe-17Wan.tdb | 1674.81 | BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75336) |
| BiCe-17Wan.tdb | 1520.33 | BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.80751) |
| BiCe-17Wan.tdb | 1520.33 | BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.80752) |
| BiCe-17Wan.tdb | 1186.89 | LIQUID (x(Ce) 0.18183) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5) |
| BiCe-17Wan.tdb | 1186.89 | LIQUID (x(Ce) 0.18179) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5) |
| BiCe-17Wan.tdb | 1186.89 | LIQUID (x(Ce) 0.18187) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5) |
| BiCe-17Wan.tdb | 1018.71 | BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.96593) + BCC_A2 (x(Ce) 0.98727) |
| BiCe-17Wan.tdb | 987.7 | BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99411) + FCC_A1 (x(Ce) 1) |
| BiCe-17Wan.tdb | 987.7 | BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99416) + FCC_A1 (x(Ce) 1) |
| BiCe-17Wan.tdb | 544.53 | RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 7.000e-5) + BI2CE (x(Ce) 0.33333) |
| BiCe-17Wan.tdb | 544.53 | RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 7.000e-5) + BI2CE (x(Ce) 0.33333) |
Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull BiCe-12Li
Invariant reactions (literature)
| T (K) | Reaction / phases | Compositions (mole fraction) | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|
| 1903 | peritectic: L + Ce4Bi3 -> CeBi | L: Ce 0.465; Ce4Bi3: Bi 0.428571, Ce 0.571429; CeBi: Bi 0.5, Ce 0.5 | experimental | [1] Wang 2017 cites Rudolf 1913 | Table 3, p. 5, row 5 report | |
| 1903 | Liquid + Ce4Bi3 = CeBi | Ce4Bi3: Ce 0.571429; CeBi: Ce 0.5 | experimental | [2] Li 2012 cites Vogel 1913 doi | Table 3, p. 4, row 6 report | |
| 1901 | Liquid + Ce4Bi3 = CeBi | Liquid: Ce 0.465; Ce4Bi3: Ce 0.571; CeBi: Ce 0.5 | model | [2] Li 2012 | Table 3, p. 4, row 5 report | |
| 1899 | peritectic: L + Ce4Bi3 -> CeBi | L: Ce 0.4721; Ce4Bi3: Bi 0.428571, Ce 0.571429; CeBi: Bi 0.5, Ce 0.5 | model | [1] Wang 2017 | Table 3, p. 5, row 6 report | |
| 1674 | peritectic: L + Ce4Bi3 -> Ce5Bi3 | L: Ce 0.7537; Ce4Bi3: Bi 0.428571, Ce 0.571429; Ce5Bi3: Bi 0.375, Ce 0.625 | model | [1] Wang 2017 | Table 3, p. 5, row 8 report | |
| 1670 | Liquid + Ce4Bi3 = Ce5Bi3 | Ce4Bi3: Ce 0.571429; Ce5Bi3: Ce 0.625 | experimental | [2] Li 2012 cites K Yoshihara 1975 | Table 3, p. 4, row 10 report | |
| 1670 | peritectic: L + Ce4Bi3 -> Ce5Bi3 | L: Ce 0.78; Ce4Bi3: Bi 0.428571, Ce 0.571429; Ce5Bi3: Bi 0.375, Ce 0.625 | experimental | [1] Wang 2017 cites Yoshihara 1975 doi | Table 3, p. 5, row 7 report | |
| 1668 | Liquid + Ce4Bi3 = Ce5Bi3 | Liquid: Ce 0.78; Ce4Bi3: Ce 0.571; Ce5Bi3: Ce 0.625 | model | [2] Li 2012 | Table 3, p. 4, row 9 report | |
| 1521 | peritectic: L + Ce5Bi3 -> Ce2Bi | L: Ce 0.8072; Ce5Bi3: Bi 0.375, Ce 0.625; Ce2Bi: Bi 0.333333, Ce 0.666667 | model | [1] Wang 2017 | Table 3, p. 5, row 10 report | |
| 1518 | Liquid + Ce5Bi3 = Ce2Bi | Ce5Bi3: Ce 0.625; Ce2Bi: Ce 0.666667 | experimental | [2] Li 2012 cites K Yoshihara 1975 | Table 3, p. 4, row 12 report | |
| 1518 | peritectic: L + Ce5Bi3 -> Ce2Bi | L: Ce 0.818; Ce5Bi3: Bi 0.375, Ce 0.625; Ce2Bi: Bi 0.333333, Ce 0.666667 | experimental | [1] Wang 2017 cites Yoshihara 1975 doi | Table 3, p. 5, row 9 report | |
| 1516 | Liquid + Ce5Bi3 = Ce2Bi | Liquid: Ce 0.818; Ce5Bi3: Ce 0.625; Ce2Bi: Ce 0.67 | model | [2] Li 2012 | Table 3, p. 4, row 11 report | |
| 1186 | peritectic: L + CeBi -> CeBi2 | L: Ce 0.1815; CeBi: Bi 0.5, Ce 0.5; CeBi2: Bi 0.666667, Ce 0.333333 | model | [1] Wang 2017 | Table 3, p. 5, row 4 report | |
| 1183 | Liquid + CeBi = CeBi2 | CeBi: Ce 0.5; CeBi2: Ce 0.333333 | experimental | [2] Li 2012 cites Vogel 1913 doi | Table 3, p. 4, row 4 report | |
| 1183 | Liquid + CeBi = CeBi2 | Liquid: Ce 0.21; CeBi: Ce 0.5; CeBi2: Ce 0.33 | model | [2] Li 2012 | Table 3, p. 4, row 3 report | |
| 1183 | peritectic: L + CeBi -> CeBi2 | L: Ce 0.21; CeBi: Bi 0.5, Ce 0.5; CeBi2: Bi 0.666667, Ce 0.333333 | experimental | [1] Wang 2017 cites Rudolf 1913 | Table 3, p. 5, row 3 report | |
| 1056 | Liquid = BCC_A2 + Ce2Bi | Liquid: Ce 0.93; BCC_A2: Ce 0.982; Ce2Bi: Ce 0.67 | model | [2] Li 2012 | Table 3, p. 4, row 13 report | |
| 1032 | Liquid = BCC_A2 + Ce2Bi | Ce2Bi: Ce 0.666667 | experimental | [2] Li 2012 cites Borzone 1978 doi | Table 3, p. 4, row 14 report | |
| 1023 | eutectic: L -> Ce2Bi + BCC_A2 (Ce) | L: Ce 0.93; Ce2Bi: Bi 0.333333, Ce 0.666667 | unspecified | [1] Wang 2017 cites Gschneidner 1989 doi | Table 3, p. 5, row 11 report | |
| 1019 | eutectic: L -> Ce2Bi + BCC_A2 (Ce) | L: Ce 0.9659; Ce2Bi: Bi 0.333333, Ce 0.666667 | model | [1] Wang 2017 | Table 3, p. 5, row 12 report | |
| 999 | BCC_A2 = FCC_A1 + Bi2Ce | Bi2Ce: Ce 0.333333 | experimental | [2] Li 2012 cites Borzone 1978 doi | Table 3, p. 4, row 16 report | |
| 976.4 | BCC_A2 = FCC_A1 + Bi2Ce | BCC_A2: Ce 0.99; FCC_A1: Ce 0.995; Bi2Ce: Ce 0.67 | model | [2] Li 2012 | Table 3, p. 4, row 15 report | |
| 544.5 | Liquid = CeBi2 + Rhombo_A7 | Liquid: Ce 0.005; CeBi2: Ce 0.33; Rhombo_A7: Ce 0.001 | model | [2] Li 2012 | Table 3, p. 4, row 1 report | |
| 544.5 | eutectic: L -> rhombohedral (Bi) + CeBi2 | L: Ce 7.500e-5; CeBi2: Bi 0.666667, Ce 0.333333 | model | [1] Wang 2017 | Table 3, p. 5, row 2 report | |
| 544 | Liquid = CeBi2 + Rhombo_A7 | CeBi2: Ce 0.333333; Rhombo_A7: Ce 0 | experimental | [2] Li 2012 cites Pleasance 1959 | Table 3, p. 4, row 2 report | |
| 544 | eutectic: L -> rhombohedral (Bi) + CeBi2 | L: Ce 0; CeBi2: Bi 0.666667, Ce 0.333333 | experimental | [1] Wang 2017 cites Pleasance 1959 | Table 3, p. 5, row 1 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.
| Phase | Compound | Value | T (K) | Class | MP DFT (kJ/mol-atom) | OQMD DFT (kJ/mol-atom) | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|---|
| Ce2Bi | BiCe2 | -84 kJ/mol-atom | model | -52.748 (mp-aaacjhtf) | -67.745 (oqmd-28711) | [1] Wang 2017 cites Colinet 1984 doi | Table 8, p. 6, row 13 report | ||
| Ce2Bi | BiCe2 | -81.6 kJ/mol-atom | 298.15 | experimental | -52.748 (mp-aaacjhtf) | -67.745 (oqmd-28711) | [1] Wang 2017 cites Borzone 1978 doi | Table 8, p. 6, row 14 report | |
| Ce2Bi | BiCe2 | -81.421 kJ/mol-atom | model | -52.748 (mp-aaacjhtf) | -67.745 (oqmd-28711) | [1] Wang 2017 | Table 8, p. 6, row 15 report | ||
| Ce4Bi3 | Bi3Ce4 | -101.54 kJ/mol-atom | model | -67.761 (mp-aaaabiki) | -83.921 (oqmd-18228) | [1] Wang 2017 | Table 8, p. 6, row 9 report | ||
| Ce4Bi3 | Bi3Ce4 | -101.3 kJ/mol-atom | 298.15 | experimental | -67.761 (mp-aaaabiki) | -83.921 (oqmd-18228) | [1] Wang 2017 cites Borzone 1978 doi | Table 8, p. 6, row 8 report | |
| Ce4Bi3 | Bi3Ce4 | -99 kJ/mol-atom | model | -67.761 (mp-aaaabiki) | -83.921 (oqmd-18228) | [1] Wang 2017 cites Colinet 1984 doi | Table 8, p. 6, row 7 report | ||
| Ce5Bi3 | Bi3Ce5 | -92 kJ/mol-atom | model | -56.273 (mp-aaacpqwq) | -77.552 (oqmd-28710) | [1] Wang 2017 cites Colinet 1984 doi | Table 8, p. 6, row 10 report | ||
| Ce5Bi3 | Bi3Ce5 | -91.762 kJ/mol-atom | model | -56.273 (mp-aaacpqwq) | -77.552 (oqmd-28710) | [1] Wang 2017 | Table 8, p. 6, row 12 report | ||
| Ce5Bi3 | Bi3Ce5 | -91.7 kJ/mol-atom | 298.15 | experimental | -56.273 (mp-aaacpqwq) | -77.552 (oqmd-28710) | [1] Wang 2017 cites Borzone 1978 doi | Table 8, p. 6, row 11 report | |
| CeBi | BiCe | -114.7 kJ/mol-atom | 298.15 | experimental | -78.443 (mp-aaaabilp) | -95.287 (oqmd-10917) | [1] Wang 2017 cites Borzone 1978 doi | Table 8, p. 6, row 5 report | |
| CeBi | BiCe | -114.32 kJ/mol-atom | model | -78.443 (mp-aaaabilp) | -95.287 (oqmd-10917) | [1] Wang 2017 | Table 8, p. 6, row 6 report | ||
| CeBi | BiCe | -102 kJ/mol-atom | model | -78.443 (mp-aaaabilp) | -95.287 (oqmd-10917) | [1] Wang 2017 cites Colinet 1984 doi | Table 8, p. 6, row 4 report | ||
| CeBi2 | Bi2Ce | -84 kJ/mol-atom | model | -65.432 (oqmd-1927690) | [1] Wang 2017 cites Colinet 1984 doi | Table 8, p. 6, row 1 report | |||
| CeBi2 | Bi2Ce | -77.578 kJ/mol-atom | model | -65.432 (oqmd-1927690) | [1] Wang 2017 | Table 8, p. 6, row 3 report | |||
| CeBi2 | Bi2Ce | -77.5 kJ/mol-atom | 298.15 | experimental | -65.432 (oqmd-1927690) | [1] Wang 2017 cites Borzone 1978 doi | Table 8, p. 6, row 2 report |
Other properties
Phase transition (3)
| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|---|
| Phase transition | 2013 K | 2013 | Liquid = Ce4Bi3 Liquid: Ce 0.571429; Ce4Bi3: Ce 0.571429 | experimental | [2] Li 2012 cites Vogel 1913 doi | Table 3, p. 4, row 8 report | |
| Phase transition | 2013 K | 2013 | Liquid = Ce4Bi3 Liquid: Ce 0.571; Ce4Bi3: Ce 0.571 | model | [2] Li 2012 | Table 3, p. 4, row 7 report | |
| Phase transition | 2013 K | 2013 | congruent transformation | experimental | [1] Wang 2017 | p. 3 report | Except for Ce4Bi3, which melts congruently at 2013 K, all other four stable compounds are formed through peritectic reactions: L þ CeBi 4 CeBi2 at 1183 K, L þ Ce4Bi3 4 CeBi at 1903 K, L þ Ce4Bi3 4 Ce5Bi3 at 1670 K, and L þ Ce5Bi3 4 Ce2Bi at 1518 K. |
Formation (5)
| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|---|
| Entropy of formation printed: ΔSf | -6.36 J/mol (basis unstated)/K | Ce2Bi alloy: Ce 0.667 | model | [1] Wang 2017 | Table 10, p. 7, row 10 report | ||
| Entropy of formation printed: ΔSf | -8.88 J/mol (basis unstated)/K | Ce4Bi3 alloy: Ce 0.571 | model | [1] Wang 2017 | Table 10, p. 7, row 8 report | ||
| Entropy of formation printed: ΔSf | -8.17 J/mol (basis unstated)/K | Ce5Bi3 alloy: Ce 0.625 | model | [1] Wang 2017 | Table 10, p. 7, row 9 report | ||
| Entropy of formation printed: ΔSf | -15.5 J/mol (basis unstated)/K | CeBi alloy: Ce 0.5 | model | [1] Wang 2017 | Table 10, p. 7, row 7 report | ||
| Entropy of formation printed: ΔSf | -6.2 J/mol (basis unstated)/K | CeBi2 alloy: Ce 0.333 | model | [1] Wang 2017 | Table 10, p. 7, row 6 report |
Mixing / partial (5)
| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|---|
| Gibbs energy of mixing printed: Driving force | 12.7547 kJ/mol (basis unstated) | 773 | Ce2Bi alloy: Ce 0.666667 | model | [2] Li 2012 | Table 6, p. 6, row 1 report | |
| Gibbs energy of mixing printed: Driving force | 28.4546 kJ/mol (basis unstated) | 773 | Ce4Bi3 alloy: Ce 0.571429 | model | [2] Li 2012 | Table 6, p. 6, row 3 report | |
| Gibbs energy of mixing printed: Driving force | 20.8938 kJ/mol (basis unstated) | 773 | Ce5Bi3 alloy: Ce 0.625 | model | [2] Li 2012 | Table 6, p. 6, row 2 report | |
| Gibbs energy of mixing printed: Driving force | 33.6822 kJ/mol (basis unstated) | 773 | CeBi alloy: Ce 0.5 | model | [2] Li 2012 | Table 6, p. 6, row 4 report | |
| Gibbs energy of mixing printed: Driving force | 7.12328 kJ/mol (basis unstated) | 773 | CeBi2 alloy: Ce 0.333333 | model | [2] Li 2012 | Table 6, p. 6, row 5 report |
Activity / EMF / Gibbs energy (2)
| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|---|
| Activity coefficient printed: Log(activity coefficient) | -10.8 unknown | 873 | liquid | model | [1] Wang 2017 | Table 11, p. 8, row 3 report | |
| Activity coefficient printed: Log(activity coefficient) | -10.1 unknown | 923 | liquid | model | [1] Wang 2017 | Table 11, p. 8, row 6 report |
Sources
Reporting papers the values were read from (a value cited from another work names that work in its row).
- 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
- Juan Li, Yu Cai, Qiang Chen, Hang Zhang, HuaShan Liu, ZhanPeng Jin, Thermodynamic modeling of Fe–Ce–Bi system and explanation of interfacial reaction in Fe-45at%–Ce/Bi couple, Calphad 38, 133-139 (2012). doi:10.1016/j.calphad.2012.05.004