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Phase Diagrams & Computational Thermodynamics

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Cu-Pb-Sn System


Calculated Liquidus Projection

Liquidus Projection with Isotherms of the Cu-Pb-Sn System (127 KB)


Status of the thermodynamic description:

Extrapolated from binary thermodynamic descriptions


Sources of the binary descriptions:

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

Cu-Sn:  J.-H. Shim, C.-S. Oh, B.-J. Lee and D.N. Lee, Z. Metallkde. 87 (1996) 205-212  

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 % Cu Mass % Pb Mass % Sn
L1   +   (Cu)   ->   L2   +   beta

760.2 oC

Liquid 63.80 12.15 24.05
(Cu) 85.38 0 14.62
Liquid 2.93 95.71 1.36
(beta) 78.43 0 21.57
L1   +   beta   ->   L2   +   gamma

732.0 oC

Liquid 59.50 11.14 29.36
beta 75.15 0 24.85
Liquid 2.34 95.32 2.34
gamma 72.95 0 27.05
L1   +   L2   +   gamma   ->   Cu3Sn

675.5 oC

Liquid 44.59 12.47 42.94
Liquid 1.98 88.56 9.46
gamma 60.78 0 39.22
Cu3Sn 61.63 0 38.37
L2   +   gamma   +   Cu3Sn   ->   Cu10Sn3

640.1 oC

Liquid 1.10 96.05 2.85
gamma 65.95 0 34.05
Cu3Sn 61.63 0 38.37
Cu10Sn3 64.06 0 35.94
L2   +   gamma   +   Cu10Sn3   ->   Cu41Sn11

590.0 oC

Liquid 0.74 97.96 1.30
gamma 68.56 0 31.44
Cu10Sn3 64.06 0 35.94
Cu41Sn11 66.56 0 33.44
L2   +   beta   ->   (Cu)   +   gamma

585.9 oC

Liquid 0.80 98.60 0.60
beta 76.12 0 23.88
(Cu) 84.56 0 15.44
gamma 73.94 0 26.06
L2   +   Cu10Sn3   ->   Cu3Sn   +   Cu41Sn11

582.5 oC

Liquid 0.69 98.07 1.24
Cu10Sn3 64.06 0 35.94
Cu3Sn 61.63 0 38.37
Cu41Sn11 66.56 0 33.44
L2   +   gamma   ->   (Cu)   +   Cu41Sn11

518.7 oC

Liquid 0.45 99.16 0.39
gamma 72.71 0 27.29
(Cu) 85.15 0 14.85
Cu41Sn11 66.56 0 33.44
L2   +   Cu41Sn11   ->   (Cu)   +   Cu3Sn

348.1 oC

Liquid 0.08 99.87 0.05
Cu41Sn11 66.56 0 33.44
(Cu) 90.36 0 9.64
Cu3Sn 61.63 0 38.37
L2   +   (Cu)   ->   Cu3Sn   +   (Pb)

326.2 oC

Liquid 0.06 99.90 0.04
(Cu) 91.04 0 8.96
Cu3Sn 61.63 0 38.37
(Pb) 0 99.97 0.03
L2   +   Cu6Sn5   ->   (Pb)   +   Cu6Sn5'

187.5 oC

Liquid 0.09 39.22 60.69
Cu6Sn5 39.07 0 60.93
(Pb) 0 81.72 18.28
Cu6Sn5' 39.07 0 60.93
L2   +   Cu3Sn   ->   (Pb)   +   Cu6Sn5

277.9 oC

Liquid 0.04 80.83 19.13
Cu3Sn 61.63 0 38.37
(Pb) 0 90.28 9.72
Cu6Sn5' 39.07 0 60.93
L2   ->   (Pb)   +   (Sn)   +   Cu6Sn5'

181.7 oC

Liquid 0.09 37.27 62.64
(Pb) 0 81.23 18.77
(Sn) 0 3.39 96.61
Cu6Sn5' 39.07 0 60.93


Phases, Crystal Structures and Model Descriptions

Phase Struktur-
bericht
Symbol
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 (Cu,Pb,Sn)1(Va)1
Bcc A2 (beta Cu), beta W Im-3m (Cu,Sn)1(Va)3
Bct A5 (Sn), (beta Sn) beta Sn I41/amd (Cu,Pb,Sn)1
 
Cu3Sn.h D03 gamma BiF3 Fm-3m (Cu,Sn)0.75(Cu,Sn)0.25
Cu41Sn11 ... delta ... F-43m Cu0.788Sn0.212
Cu10Sn3 ... zeta ... P63 Cu0.769Sn0.231
Cu3Sn ... epsilon ... Cmcm Cu0.75Sn0.25
Cu6Sn5 B81 eta, Cu6Sn5.h NiAs P63/mmc Cu0.545Sn0.455
Cu6Sn5' ... eta ', Cu6Sn5.l ... ... Cu0.545Sn0.455

*Major species are printed bold face



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