One important application of the detailed understanding of solid solution
phases is called zone refining,which is a method for preparing very pure ma-
terials. It is especially useful in the semiconductor industry, where the produc-
tion of ultrapure silicon is the crucial first step in making semiconductors.
Figure 7.25 shows a temperature-composition phase diagram for silicon and
silicon oxides. “Pure” silicon, which would have a composition very near the
zero value for weight percent of oxygen in Figure 7.25, still has enough impu-
rities to cause problems with the electrical properties of silicon, so it must be
purified further.
A solid cylinder of Si, called a boule,is slowly passed through a cylindrical
high-temperature furnace, as shown in Figure 7.26. (Silicon melts at 1410°C.)
When it slowly resolidifies, it does so as very pure silicon, and the impurities
remain in the melted phase. As the boule passes further through the furnace,
this impure layer collects more of the impurities as the ultrapure silicon crys-
tallizes. In the end, as seen in Figure 7.26, the entire boule has passed through
the furnace and the impurities are concentrated in one end, which is cut off.
What remains is a cylinder of ultrapure crystalline silicon that can be cut into
thousands or millions of semiconductors. Other crystals, including synthetic
gemstones, can be fashioned in this way.192 CHAPTER 7 Equilibria in Multiple-Component Systems
12000%
Hypo-eutectoid Hyper-eutectoid
Steel Cast ironTemperature (°F)Temperature (°C)0.50%0.008%1000410300028002802
27202600
2552
240022002066
20001800
1670
16001400
1333 72321076091011301400149215390.83%1% 2% 3% 4% 5% 6%65%Austenite solid solution of
carbon in gamma ironPearlite and ferritePearlite and cementiteCementite, pearlite, and
transformed ledeburite4.3 6.67Magnetic change of Fe 3 CAustenite to pearlite0.025
L L Fe 3 C Fe 3 CL Fe 3 CFe 3 CCementite and
ledeburiteAustenite, ledeburite,
and cementite2066 °F1333 °FAustenite
in liquidPrimary austenite
begins to solidifyCM begins
to solidify Austenite
Ferrite
Delta iron
CM Cementite
L LiquidFigure 7.24 A more complicated solid solution phase diagram, in this case describing the
system Fe/C.2000400
0
Weight percent O in Si-O system0.10Temperature (°C)1800
1600
1400
1200
1000
800
6000.02 0.04 0.06 0.08Two liquid phasesSolid cristobaliteSolid tridymiteSolid siliconT = 1414°CT = 870°CT = 1471°C T = 1721°CSolid quartzFigure 7.25 The temperature-composition
phase diagram for silicon and silicon oxides. This
phase diagram is very important to the semicon-
ductor industry, where ultrapure silicon is the
first step in making microchips.