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

Accepted values by evidence class
Evidence classValues
experimental19
model36
unspecified1
Accepted values by property group
Property groupValues
invariant reaction26
phase transition3
formation20
mixing / partial5
activity / EMF / Gibbs energy2

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
BiCe-12Li.tdbJ. Li, Y. Cai, Q. Chen, H. Zhang, H.S. Liu, Z.P. Jin, Calphad, 38, 133-39(2012). doi:10.1016/j.calphad.2012.05.004a261b33b47f12b953e299f768bc804c48f9b28e66d7c2eb6d4212cdfecdd1434viewer · TDB · JSON
BiCe-17Wan.tdbY. Wang, W. Zhou, S. Guo, J. Zhang, J. Nucl. Mater., 495, 181-91(2017). doi:10.1016/j.jnucmat.2017.08.0167b39a0f2a6bf4ab9f62ea2fc41e258ef69c8b61339030b7acdb9dfa90e45a06cviewer · TDB · JSON
Calculated three-phase invariants (model, mole fraction of the second component)
TDB fileT (K)Phases at the invariant
BiCe-12Li.tdb1901.02LIQUID (x(Ce) 0.47037) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143)
BiCe-12Li.tdb1901.02LIQUID (x(Ce) 0.47066) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143)
BiCe-12Li.tdb1901.02LIQUID (x(Ce) 0.47032) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143)
BiCe-12Li.tdb1661.76BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75798)
BiCe-12Li.tdb1661.76BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75786)
BiCe-12Li.tdb1515.97BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.81052)
BiCe-12Li.tdb1515.97BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.81046)
BiCe-12Li.tdb1515.97BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.81062)
BiCe-12Li.tdb1182.99LIQUID (x(Ce) 0.18726) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5)
BiCe-12Li.tdb1182.99LIQUID (x(Ce) 0.18721) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5)
BiCe-12Li.tdb1182.99LIQUID (x(Ce) 0.18738) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5)
BiCe-12Li.tdb1055.2BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.97323) + BCC_A2 (x(Ce) 0.98633)
BiCe-12Li.tdb1055.2BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.97335) + BCC_A2 (x(Ce) 0.98636)
BiCe-12Li.tdb975.52BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99229) + FCC_A1 (x(Ce) 1)
BiCe-12Li.tdb975.52BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.9923) + FCC_A1 (x(Ce) 1)
BiCe-12Li.tdb975.52BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99231) + FCC_A1 (x(Ce) 1)
BiCe-12Li.tdb544.44RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 5.200e-4) + BI2CE (x(Ce) 0.33333)
BiCe-12Li.tdb544.44RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 5.200e-4) + BI2CE (x(Ce) 0.33333)
BiCe-17Wan.tdb1898.53LIQUID (x(Ce) 0.47205) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143)
BiCe-17Wan.tdb1898.53LIQUID (x(Ce) 0.47231) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143)
BiCe-17Wan.tdb1898.53LIQUID (x(Ce) 0.47197) + BICE_B1 (x(Ce) 0.5) + BI3CE4_D73 (x(Ce) 0.57143)
BiCe-17Wan.tdb1674.81BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75337)
BiCe-17Wan.tdb1674.81BI3CE4_D73 (x(Ce) 0.57143) + BI3CE5_D88 (x(Ce) 0.625) + LIQUID (x(Ce) 0.75336)
BiCe-17Wan.tdb1520.33BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.80751)
BiCe-17Wan.tdb1520.33BI3CE5_D88 (x(Ce) 0.625) + BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.80752)
BiCe-17Wan.tdb1186.89LIQUID (x(Ce) 0.18183) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5)
BiCe-17Wan.tdb1186.89LIQUID (x(Ce) 0.18179) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5)
BiCe-17Wan.tdb1186.89LIQUID (x(Ce) 0.18187) + BI2CE (x(Ce) 0.33333) + BICE_B1 (x(Ce) 0.5)
BiCe-17Wan.tdb1018.71BICE2 (x(Ce) 0.66667) + LIQUID (x(Ce) 0.96593) + BCC_A2 (x(Ce) 0.98727)
BiCe-17Wan.tdb987.7BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99411) + FCC_A1 (x(Ce) 1)
BiCe-17Wan.tdb987.7BICE2 (x(Ce) 0.66667) + BCC_A2 (x(Ce) 0.99416) + FCC_A1 (x(Ce) 1)
BiCe-17Wan.tdb544.53RHOMBOHEDRAL_A7 (x(Ce) 0) + LIQUID (x(Ce) 7.000e-5) + BI2CE (x(Ce) 0.33333)
BiCe-17Wan.tdb544.53RHOMBOHEDRAL_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)

Invariant reactions reported in the literature for the Bi–Ce system (26)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
1903peritectic: L + Ce4Bi3 -> CeBiL: Ce 0.465; Ce4Bi3: Bi 0.428571, Ce 0.571429; CeBi: Bi 0.5, Ce 0.5experimental[1] Wang 2017
cites Rudolf 1913
Table 3, p. 5, row 5
report
1903Liquid + Ce4Bi3 = CeBiCe4Bi3: Ce 0.571429; CeBi: Ce 0.5experimental[2] Li 2012
cites Vogel 1913 doi
Table 3, p. 4, row 6
report
1901Liquid + Ce4Bi3 = CeBiLiquid: Ce 0.465; Ce4Bi3: Ce 0.571; CeBi: Ce 0.5model[2] Li 2012Table 3, p. 4, row 5
report
1899peritectic: L + Ce4Bi3 -> CeBiL: Ce 0.4721; Ce4Bi3: Bi 0.428571, Ce 0.571429; CeBi: Bi 0.5, Ce 0.5model[1] Wang 2017Table 3, p. 5, row 6
report
1674peritectic: L + Ce4Bi3 -> Ce5Bi3L: Ce 0.7537; Ce4Bi3: Bi 0.428571, Ce 0.571429; Ce5Bi3: Bi 0.375, Ce 0.625model[1] Wang 2017Table 3, p. 5, row 8
report
1670Liquid + Ce4Bi3 = Ce5Bi3Ce4Bi3: Ce 0.571429; Ce5Bi3: Ce 0.625experimental[2] Li 2012
cites K Yoshihara 1975
Table 3, p. 4, row 10
report
1670peritectic: L + Ce4Bi3 -> Ce5Bi3L: Ce 0.78; Ce4Bi3: Bi 0.428571, Ce 0.571429; Ce5Bi3: Bi 0.375, Ce 0.625experimental[1] Wang 2017
cites Yoshihara 1975 doi
Table 3, p. 5, row 7
report
1668Liquid + Ce4Bi3 = Ce5Bi3Liquid: Ce 0.78; Ce4Bi3: Ce 0.571; Ce5Bi3: Ce 0.625model[2] Li 2012Table 3, p. 4, row 9
report
1521peritectic: L + Ce5Bi3 -> Ce2BiL: Ce 0.8072; Ce5Bi3: Bi 0.375, Ce 0.625; Ce2Bi: Bi 0.333333, Ce 0.666667model[1] Wang 2017Table 3, p. 5, row 10
report
1518Liquid + Ce5Bi3 = Ce2BiCe5Bi3: Ce 0.625; Ce2Bi: Ce 0.666667experimental[2] Li 2012
cites K Yoshihara 1975
Table 3, p. 4, row 12
report
1518peritectic: L + Ce5Bi3 -> Ce2BiL: Ce 0.818; Ce5Bi3: Bi 0.375, Ce 0.625; Ce2Bi: Bi 0.333333, Ce 0.666667experimental[1] Wang 2017
cites Yoshihara 1975 doi
Table 3, p. 5, row 9
report
1516Liquid + Ce5Bi3 = Ce2BiLiquid: Ce 0.818; Ce5Bi3: Ce 0.625; Ce2Bi: Ce 0.67model[2] Li 2012Table 3, p. 4, row 11
report
1186peritectic: L + CeBi -> CeBi2L: Ce 0.1815; CeBi: Bi 0.5, Ce 0.5; CeBi2: Bi 0.666667, Ce 0.333333model[1] Wang 2017Table 3, p. 5, row 4
report
1183Liquid + CeBi = CeBi2CeBi: Ce 0.5; CeBi2: Ce 0.333333experimental[2] Li 2012
cites Vogel 1913 doi
Table 3, p. 4, row 4
report
1183Liquid + CeBi = CeBi2Liquid: Ce 0.21; CeBi: Ce 0.5; CeBi2: Ce 0.33model[2] Li 2012Table 3, p. 4, row 3
report
1183peritectic: L + CeBi -> CeBi2L: Ce 0.21; CeBi: Bi 0.5, Ce 0.5; CeBi2: Bi 0.666667, Ce 0.333333experimental[1] Wang 2017
cites Rudolf 1913
Table 3, p. 5, row 3
report
1056Liquid = BCC_A2 + Ce2BiLiquid: Ce 0.93; BCC_A2: Ce 0.982; Ce2Bi: Ce 0.67model[2] Li 2012Table 3, p. 4, row 13
report
1032Liquid = BCC_A2 + Ce2BiCe2Bi: Ce 0.666667experimental[2] Li 2012
cites Borzone 1978 doi
Table 3, p. 4, row 14
report
1023eutectic: L -> Ce2Bi + BCC_A2 (Ce)L: Ce 0.93; Ce2Bi: Bi 0.333333, Ce 0.666667unspecified[1] Wang 2017
cites Gschneidner 1989 doi
Table 3, p. 5, row 11
report
1019eutectic: L -> Ce2Bi + BCC_A2 (Ce)L: Ce 0.9659; Ce2Bi: Bi 0.333333, Ce 0.666667model[1] Wang 2017Table 3, p. 5, row 12
report
999BCC_A2 = FCC_A1 + Bi2CeBi2Ce: Ce 0.333333experimental[2] Li 2012
cites Borzone 1978 doi
Table 3, p. 4, row 16
report
976.4BCC_A2 = FCC_A1 + Bi2CeBCC_A2: Ce 0.99; FCC_A1: Ce 0.995; Bi2Ce: Ce 0.67model[2] Li 2012Table 3, p. 4, row 15
report
544.5Liquid = CeBi2 + Rhombo_A7Liquid: Ce 0.005; CeBi2: Ce 0.33; Rhombo_A7: Ce 0.001model[2] Li 2012Table 3, p. 4, row 1
report
544.5eutectic: L -> rhombohedral (Bi) + CeBi2L: Ce 7.500e-5; CeBi2: Bi 0.666667, Ce 0.333333model[1] Wang 2017Table 3, p. 5, row 2
report
544Liquid = CeBi2 + Rhombo_A7CeBi2: Ce 0.333333; Rhombo_A7: Ce 0experimental[2] Li 2012
cites Pleasance 1959
Table 3, p. 4, row 2
report
544eutectic: L -> rhombohedral (Bi) + CeBi2L: Ce 0; CeBi2: Bi 0.666667, Ce 0.333333experimental[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.

Enthalpies of formation, Bi–Ce system (15)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
Ce2BiBiCe2-84 kJ/mol-atommodel-52.748 (mp-aaacjhtf)-67.745 (oqmd-28711)[1] Wang 2017
cites Colinet 1984 doi
Table 8, p. 6, row 13
report
Ce2BiBiCe2-81.6 kJ/mol-atom298.15experimental-52.748 (mp-aaacjhtf)-67.745 (oqmd-28711)[1] Wang 2017
cites Borzone 1978 doi
Table 8, p. 6, row 14
report
Ce2BiBiCe2-81.421 kJ/mol-atommodel-52.748 (mp-aaacjhtf)-67.745 (oqmd-28711)[1] Wang 2017Table 8, p. 6, row 15
report
Ce4Bi3Bi3Ce4-101.54 kJ/mol-atommodel-67.761 (mp-aaaabiki)-83.921 (oqmd-18228)[1] Wang 2017Table 8, p. 6, row 9
report
Ce4Bi3Bi3Ce4-101.3 kJ/mol-atom298.15experimental-67.761 (mp-aaaabiki)-83.921 (oqmd-18228)[1] Wang 2017
cites Borzone 1978 doi
Table 8, p. 6, row 8
report
Ce4Bi3Bi3Ce4-99 kJ/mol-atommodel-67.761 (mp-aaaabiki)-83.921 (oqmd-18228)[1] Wang 2017
cites Colinet 1984 doi
Table 8, p. 6, row 7
report
Ce5Bi3Bi3Ce5-92 kJ/mol-atommodel-56.273 (mp-aaacpqwq)-77.552 (oqmd-28710)[1] Wang 2017
cites Colinet 1984 doi
Table 8, p. 6, row 10
report
Ce5Bi3Bi3Ce5-91.762 kJ/mol-atommodel-56.273 (mp-aaacpqwq)-77.552 (oqmd-28710)[1] Wang 2017Table 8, p. 6, row 12
report
Ce5Bi3Bi3Ce5-91.7 kJ/mol-atom298.15experimental-56.273 (mp-aaacpqwq)-77.552 (oqmd-28710)[1] Wang 2017
cites Borzone 1978 doi
Table 8, p. 6, row 11
report
CeBiBiCe-114.7 kJ/mol-atom298.15experimental-78.443 (mp-aaaabilp)-95.287 (oqmd-10917)[1] Wang 2017
cites Borzone 1978 doi
Table 8, p. 6, row 5
report
CeBiBiCe-114.32 kJ/mol-atommodel-78.443 (mp-aaaabilp)-95.287 (oqmd-10917)[1] Wang 2017Table 8, p. 6, row 6
report
CeBiBiCe-102 kJ/mol-atommodel-78.443 (mp-aaaabilp)-95.287 (oqmd-10917)[1] Wang 2017
cites Colinet 1984 doi
Table 8, p. 6, row 4
report
CeBi2Bi2Ce-84 kJ/mol-atommodel-65.432 (oqmd-1927690)[1] Wang 2017
cites Colinet 1984 doi
Table 8, p. 6, row 1
report
CeBi2Bi2Ce-77.578 kJ/mol-atommodel-65.432 (oqmd-1927690)[1] Wang 2017Table 8, p. 6, row 3
report
CeBi2Bi2Ce-77.5 kJ/mol-atom298.15experimental-65.432 (oqmd-1927690)[1] Wang 2017
cites Borzone 1978 doi
Table 8, p. 6, row 2
report

Other properties

Phase transition (3)

Phase transition, Bi–Ce system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Phase transition2013 K2013Liquid = 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 transition2013 K2013Liquid = Ce4Bi3
Liquid: Ce 0.571; Ce4Bi3: Ce 0.571
model[2] Li 2012Table 3, p. 4, row 7
report
Phase transition2013 K2013congruent transformationexperimental[1] Wang 2017p. 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)

Formation, Bi–Ce system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Entropy of formation
printed: ΔSf
-6.36 J/mol (basis unstated)/KCe2Bi
alloy: Ce 0.667
model[1] Wang 2017Table 10, p. 7, row 10
report
Entropy of formation
printed: ΔSf
-8.88 J/mol (basis unstated)/KCe4Bi3
alloy: Ce 0.571
model[1] Wang 2017Table 10, p. 7, row 8
report
Entropy of formation
printed: ΔSf
-8.17 J/mol (basis unstated)/KCe5Bi3
alloy: Ce 0.625
model[1] Wang 2017Table 10, p. 7, row 9
report
Entropy of formation
printed: ΔSf
-15.5 J/mol (basis unstated)/KCeBi
alloy: Ce 0.5
model[1] Wang 2017Table 10, p. 7, row 7
report
Entropy of formation
printed: ΔSf
-6.2 J/mol (basis unstated)/KCeBi2
alloy: Ce 0.333
model[1] Wang 2017Table 10, p. 7, row 6
report

Mixing / partial (5)

Mixing / partial, Bi–Ce system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Gibbs energy of mixing
printed: Driving force
12.7547 kJ/mol (basis unstated)773Ce2Bi
alloy: Ce 0.666667
model[2] Li 2012Table 6, p. 6, row 1
report
Gibbs energy of mixing
printed: Driving force
28.4546 kJ/mol (basis unstated)773Ce4Bi3
alloy: Ce 0.571429
model[2] Li 2012Table 6, p. 6, row 3
report
Gibbs energy of mixing
printed: Driving force
20.8938 kJ/mol (basis unstated)773Ce5Bi3
alloy: Ce 0.625
model[2] Li 2012Table 6, p. 6, row 2
report
Gibbs energy of mixing
printed: Driving force
33.6822 kJ/mol (basis unstated)773CeBi
alloy: Ce 0.5
model[2] Li 2012Table 6, p. 6, row 4
report
Gibbs energy of mixing
printed: Driving force
7.12328 kJ/mol (basis unstated)773CeBi2
alloy: Ce 0.333333
model[2] Li 2012Table 6, p. 6, row 5
report

Activity / EMF / Gibbs energy (2)

Activity / EMF / Gibbs energy, Bi–Ce system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Activity coefficient
printed: Log(activity coefficient)
-10.8 unknown873liquidmodel[1] Wang 2017Table 11, p. 8, row 3
report
Activity coefficient
printed: Log(activity coefficient)
-10.1 unknown923liquidmodel[1] Wang 2017Table 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).

  1. 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
  2. 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