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Callister - An introduction - 8th edition

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9.12 Development of Microstructure in Eutectic Alloys • 307<br />

Figure 9.13<br />

Schematic<br />

representations of<br />

the equilibrium<br />

microstructures for a<br />

lead–tin alloy of<br />

eutectic composition<br />

C 3 above and below<br />

the eutectic<br />

temperature.<br />

Temperature (°C)<br />

300<br />

200<br />

<br />

+ L<br />

L<br />

183°C<br />

+ L<br />

18.3 i<br />

97.8<br />

h<br />

y<br />

L<br />

(61.9 wt%<br />

Sn)<br />

600<br />

500<br />

<br />

400<br />

300<br />

Temperature (°F)<br />

100<br />

0<br />

0<br />

(Pb)<br />

+<br />

<br />

20 40<br />

60 80 100<br />

C 3<br />

(Sn)<br />

(61.9)<br />

Composition (wt%Sn)<br />

y<br />

(18.3 wt%<br />

Sn)<br />

(97.8 wt%<br />

Sn)<br />

200<br />

100<br />

temperature, 183C. Upon crossing the eutectic isotherm, the liquid transforms to the<br />

two and b phases. This transformation may be represented by the reaction<br />

L161.9 wt% Sn2 Δ cooling<br />

heating<br />

a118.3 wt% Sn2 b197.8 wt% Sn2<br />

(9.9)<br />

eutectic structure<br />

in which the a- and b-phase compositions are dictated by the eutectic isotherm end<br />

points.<br />

During this transformation, there must necessarily be a redistribution of the lead<br />

and tin components, inasmuch as the a and b phases have different compositions<br />

neither of which is the same as that of the liquid (as indicated in Equation 9.9). This<br />

redistribution is accomplished by atomic diffusion. The microstructure of the solid<br />

that results from this transformation consists of alternating layers (sometimes called<br />

lamellae) of the a and b phases that form simultaneously during the transformation.<br />

This microstructure, represented schematically in Figure 9.13, point i, is called a<br />

eutectic structure and is characteristic of this reaction. A photomicrograph of this<br />

structure for the lead–tin eutectic is shown in Figure 9.14. Subsequent cooling of the<br />

50 m<br />

Figure 9.14 Photomicrograph showing<br />

the microstructure of a lead–tin alloy of<br />

eutectic composition. This microstructure<br />

consists of alternating layers of a leadrich<br />

a-phase solid solution (dark layers),<br />

and a tin-rich b-phase solid solution (light<br />

layers). 375 . (Reproduced with<br />

permission from Metals Handbook, 9th<br />

<strong>edition</strong>, Vol. 9, Metallography and<br />

Microstructures, American Society for<br />

Metals, Materials Park, OH, 1985.)

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