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Phase Diagrams & Computational Thermodynamics

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Bi-Cu-Pb System

Calculated Liquidus Projection

Liquidus Projection with Isotherms of the Bi-Cu-Pb System (103 KB)

Status of the thermodynamic description:

Extrapolated from binary thermodynamic descriptions

Sources of the binary descriptions:

Bi-Cu:  O. Teppo, J. Niemelä and P. Taskinen, Thermochim. Acta 173 (1990) 137-150 >

Bi-Pb:  S.W. Yoon and H.M. Lee, CALPHAD 22 (1998) 167-178  

Cu-Pb:  A. Bolcavage, C.R. Kao, S.-L. Chen and Y.A. Chang, "Thermodynamic Calculation of Phase Stability Between Copper and Lead-Indium Solder", Applications of Thermodynamics in Synthesis and Processing of Materials, Eds. P. Nash and B. Sundman, TMS, Warrendale, PA, 1995, 102-140

Calculated Invariant Equilibria

Reaction Phase Mass % Bi Mass % Cu Mass % Pb
L   +   (Pb)   ->   (Cu)   +   (epsilon Pb)

184.9 oC

Liquid 36.07 0.01 63.92
(Pb) 23.27 0 76.73
(Cu) 0 100 0
(epsilon Pb) 27.94 0 72.06
L   ->   (Cu)   +   (epsilon Pb)   +   (Bi)

125.9 oC

Liquid 55.51 0 44.49
(Cu) 0 100 0
(epsilon Pb) 42.13 0 57.87
(Bi) 99.52 0 0.48

Phases, Crystal Structures and Model Descriptions

Phase Struktur-
Common Names Prototype Spacegroup Model*
Liquid n/a L, L1, L2 n/a n/a (Bi,Cu,Pb)1
Fcc A1 (Cu), (Pb) Cu Fm-3m (Bi,Cu,Pb)1(Va)1
Hcp A3 (epsilon Pb) Mg P63/mmc (Bi,Cu,Pb)1(Va)0.5
Rho A7 (Bi) alpha As R-3m (Bi,Pb)1

*Major species are printed bold face

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