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Question
If $2 \times 10^{16} \mathrm{~cm}^{-3}$ boron atoms are added to silicon as a substitutional impurity and are distributed uniformly throughout the semiconductor, determine the distance between boron atoms in terms of the silicon lattice constant. (Assume the boron atoms are distributed in a rectangular or cubic array.)
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Step 1
The volume density is given by the inverse of the cube of the distance between the atoms. We can write this as: \[ \text{Volume density} = \frac{1}{D^3} \] where \(D\) is the distance between the boron atoms. Show more…
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