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AMI Infrar ed Crystalline Materials    225

              for the crystal 10 to 14 in long. All purification runs follow the same
              procedure, always zoning in the same direction relative to the rod.
              On completion of a run, the crystal is removed and its surface sand-
              blasted. The crystal is evaluated relative to resistivity using a conduc-
              tion method. A dc value of 0.1 A is run through the crystal. An electric
              probe with contacts exactly 1 cm apart is applied to the surface to
              measure and record the voltage drop across each centimeter segment,
              1 cm at a time for the full length of the crystal. The numbers are con-
              verted to resistivity.  After measurement, the crystal surface is
              acid-etched prior to the next run. The process is repeated 8 to 10 times,
              depending on the beginning purity of the silicon bar, until the mea-
              sured resistivity falls within the range of the specification. Then the
              crystal is ready to be grown in single-crystal form. The top of the
              crystal is cut off to remove the impurities, and the ends are switched
              so the growth will be in the same direction relative to the crystal as in
              the purification process. The crystal is attached to the pedestal for
              rotation during growth. The crystal growth is controlled by the
              operator observing the process through the window. The growth rate
              again is very slow. On completion, the crystal resistivity is measured to
              ensure all regions meet the resistivity specification, 10,000 to 30,000 Ω·cm.
              On meeting the standard, the crystal is ready to be sawed into slices
              that will be polished and sized in thickness and diameter.  AMI
              developed a good paveway silicon business having substantial sales
              in the period from 1984 to 1992. Eventually, European competition at
              lower cost created a paveway market in which AMI could no longer
              compete. Even though government policy usually calls for domestic
              sources for critical materials, government production programs often
              ignore the policy and put price first.



        9.5  Silicon as an Infrared Optical Material
              Semiconductor materials have free carriers of current, both positive
              (holes) and negative (electrons). Intrinsic levels depend upon
              temperature and the bandgap of the material. Silicon has a bandgap
              of only 1.04 eV (electronvolts) which means intrinsic carriers are ther-
              mally generated at relatively low temperatures. However, at room
                                                          5
              temperature, the intrinsic resistivity of silicon is 2 × 10 Ω·cm. Infrared
              radiation interacts with free carriers and is absorbed. The magnitude
              of absorption increases with increased wavelength to at least the
              power of 2. With increase in temperature, mostly the impurity atoms
              in silicon contribute free carriers, referred to as extrinsic, reducing the
              resistivity. TI results  showed that free carrier absorption at room
                               8
              temperature for N-type silicon, 1 Ω·cm resistivity or less, was signifi-
              cant at 10 µm. Silicon produced in the normal Cz process was never
              pure enough to have a resistivity over 25 to 50 Ω·cm. When heated,
              N-type silicon with a resistivity of 50 Ω·cm begins to show free carrier
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