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9.11  Binary Eutectic Systems  •  315


                                                              Composition (at% Sn)
                                      0      20        40         60            80                100
                                        327°C
                                                                                                    600
                                    300
                                                                            Liquid
                                                                                                    500
                                                                                              232°C
                                                       +  L
                                  Temperature (°C)  200     18.3  183°C    61.9             +  L  97.8     400  Temperature (°F)




                                                                                                    300

                                    100
                                                                      +
                                                                                                    200


                                                                                                    100

                                     0
                                      0           20          40          60           80         100
                                     (Pb)                     Composition (wt% Sn)                (Sn)
                                 Figure 9.8  The lead–tin phase diagram.
                                 [Adapted from Binary Alloy Phase Diagrams, 2nd edition, Vol. 3, T. B. Massalski (Editor-in-Chief),
                                 1990. Reprinted by permission of ASM International, Materials Park, OH.]




                                    In the construction of binary phase diagrams, it is important to understand that one
                                 or at most two phases may be in equilibrium within a phase field. This holds true for the
                                 phase diagrams in Figures 9.3a and 9.7. For a eutectic system, three phases (a, b, and L)
                                 may be in equilibrium, but only at points along the eutectic isotherm. Another general
                                 rule is that single-phase regions are always separated from each other by a two-phase
                  Tutorial Video:
                 Reading a Phase   region that consists of the two single phases that it separates. For example, the a + b
                                 field is situated between the a and b single-phase regions in Figure 9.7.
                       Diagram      Another common eutectic system is that for lead and tin; the phase diagram
                    How do I Read   (Figure 9.8) has a general shape similar to that for copper–silver. For the lead–tin
                  a Phase Diagram?
                                 system, the solid-solution phases are also designated by a and b; in this case, a rep-
                                 resents a solid solution of tin in lead; for b, tin is the solvent and lead is the solute.
                                 The eutectic invariant point is located at 61.9 wt% Sn and 183 C (361 F). Of course,
                                 maximum solid solubility compositions as well as component melting temperatures
                                 are different for the copper–silver and lead–tin systems, as may be observed by com-
                                 paring their phase diagrams.
                                    On occasion, low-melting-temperature alloys are prepared having near-eutectic com-
                                 positions. A familiar example is 60–40 solder, which contains 60 wt% Sn and 40 wt% Pb.
                                 Figure 9.8 indicates that an alloy of this composition is completely molten at about 185 C
                                 (365 F), which makes this material especially attractive as a low-temperature solder be-
                                 cause it is easily melted.
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