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
1200
0%
Hypo-eutectoid Hyper-eutectoid
Steel Cast iron
Temperature (
°F)
Temperature (
°C)
0.50%
0.008%
1000
410
3000
2800
2802
2720
2600
2552
2400
2200
2066
2000
1800
1670
1600
1400
1333 723
210
760
910
1130
1400
1492
1539
0.83%1% 2% 3% 4% 5% 6%65%
Austenite solid solution of
carbon in gamma iron
Pearlite and ferrite
Pearlite and cementite
Cementite, pearlite, and
transformed ledeburite
4.3 6.67
Magnetic change of Fe 3 C
Austenite to pearlite
0.025
L
L
Fe 3 C
Fe 3 C
L Fe 3 C
Fe 3 C
Cementite and
ledeburite
Austenite, ledeburite,
and cementite
2066 °F
1333 °F
Austenite
in liquid
Primary austenite
begins to solidify
CM begins
to solidify
Austenite
Ferrite
Delta iron
CM Cementite
L Liquid
Figure 7.24 A more complicated solid solution phase diagram, in this case describing the
system Fe/C.
2000
400
0
Weight percent O in Si-O system
0.10
Temperature (
°C)
1800
1600
1400
1200
1000
800
600
0.02 0.04 0.06 0.08
Two liquid phases
Solid cristobalite
Solid tridymite
Solid silicon
T = 1414°C
T = 870°C
T = 1471°C T = 1721°C
Solid quartz
Figure 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.