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Callister - An introduction - 8th edition

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138 • Chapter 5 / Diffusion<br />

millions of interconnected electronic devices and circuits are embedded in one of the<br />

chip faces. Single-crystal silicon is the base material for most ICs. In order for these IC<br />

devices to function satisfactorily, very precise concentrations of an impurity (or impurities)<br />

must be incorporated into minute spatial regions in a very intricate and detailed<br />

pattern on the silicon chip; one way this is accomplished is by atomic diffusion.<br />

Normally two heat treatments are used in this process. In the first, or predeposition<br />

step, impurity atoms are diffused into the silicon, often from a gas phase, the<br />

partial pressure of which is maintained constant. Thus, the surface composition of<br />

the impurity also remains constant over time, such that impurity concentration<br />

within the silicon is a function of position and time according to Equation 5.5. Predeposition<br />

treatments are normally carried out within the temperature range of 900<br />

and 1000C and for times typically less than one hour.<br />

The second treatment, sometimes called drive-in diffusion, is used to transport<br />

impurity atoms farther into the silicon in order to provide a more suitable concentration<br />

distribution without increasing the overall impurity content. This treatment<br />

is carried out at a higher temperature than the predeposition one (up to about<br />

1200C), and also in an oxidizing atmosphere so as to form an oxide layer on the<br />

surface. Diffusion rates through this SiO 2 layer are relatively slow, such that very<br />

few impurity atoms diffuse out of and escape from the silicon. Schematic concentration<br />

profiles taken at three different times for this diffusion situation are shown<br />

in Figure 5.9; these profiles may be compared and contrasted to those in Figure 5.5<br />

for the case wherein the surface concentration of diffusing species is held constant.<br />

In addition, Figure 5.10 compares (schematically) concentration profiles for predeposition<br />

and drive-in treatments.<br />

If we assume that the impurity atoms introduced during the predeposition treatment<br />

are confined to a very thin layer at the surface of the silicon (which, of course,<br />

Concentration of diffusing species<br />

Concentration of diffusing species (C)<br />

C s<br />

x j<br />

profiles taken after (1) predeposition and (2)<br />

Figure 5.9 Schematic concentration profiles<br />

for drive-in diffusion of semiconductors at<br />

t 1<br />

t 3 > t 2 > t 1<br />

three different times, t 1 , t 2 , and t 3 .<br />

t 2<br />

Distance<br />

Figure 5.10 Schematic concentration<br />

drive-in diffusion treatments for<br />

After predeposition<br />

semiconductors. Also shown is the junction<br />

depth, x j .<br />

C B<br />

After drive-in<br />

t 3<br />

Distance into silicon (x)

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