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Phase Diagrams & Computational Thermodynamics
Bi-Pb-Sn System
Calculated Liquidus Projection
Status of the thermodynamic description:
S.W. Yoon and H.M. Lee, CALPHAD 22 (1998) 167-178Description of HCP_A1 readjusted for different reference state, U.R. Kattner, NIST, 2000.
Sources of the binary descriptions:
Bi-Pb: S.W. Yoon and H.M. Lee, CALPHAD 22 (1998) 167-178
Bi-Sn: B.-J. Lee, C.-S. Oh and J.-H. Shim, J. Electron. Mater. 25 (1996) 983-991
Pb-Sn: H.J. Fecht, M.-X. Zhang, Y.A. Chang and J.H. Perepezko, Metall. Trans. A, 20A (1989) 795-803
Calculated Invariant Equilibria
| Reaction | Phase | Mass % Bi | Mass % Pb | Mass % Sn |
|---|---|---|---|---|
| L + (Pb) -> (Sn) + (epsilon Pb)
135.7 oC |
Liquid | 30.54 | 47.56 | 21.90 |
| (Pb) | 18.70 | 74.72 | 6.58 | |
| (Sn) | 4.46 | 1.65 | 93.89 | |
| (epsilon Pb) | 26.13 | 66.78 | 7.09 | |
| L -> (Sn) + (epsilon Pb) + (Bi)
98.0 oC |
Liquid | 51.59 | 32.59 | 15.82 |
| (Sn) | 10.93 | 0.63 | 88.44 | |
| (epsilon Pb) | 41.24 | 50.29 | 8.47 | |
| (Bi) | 99.62 | 0.32 | 0.06 |
Phases, Crystal Structures and Model Descriptions
| Phase | Struktur- bericht Symbol |
Common Names | Prototype | Spacegroup | Model* |
|---|---|---|---|---|---|
| Liquid | n/a | L | n/a | n/a | (Bi,Pb,Sn)1 |
| Fcc | A1 | (Pb) | Cu | Fm-3m | (Bi,Pb,Sn)1(Va)1 |
| Hcp | A3 | (epsilon Pb) | Mg | P63/mmc | (Bi,Pb,Sn)1(Va)0.5 |
| Rho | A7 | (Bi) | alpha As | R-3m | (Bi,Pb,Sn)1 |
*Major species are printed bold face