Question: Suppose a silicon crystal is p-type doped with a concentration of n a = l0 16 cm 3 of boron atoms. If the crystal slab

Suppose a silicon crystal is p-type doped with a concentration of na = l016 cm–3 of boron atoms. If the crystal slab is heated in an atmosphere containing phosphorus atoms, the latter will diffuse as donors with a concentration nd (x) into the semiconductor. They will form a p-u junction at that depth at which na = nd. Assume that the diffusion conditions are such that the phosphorus concentration at the surface is maintained at nd (0) = l017 cm–3. Take the diffusion coefficient of donors to be D = 10–13 cm2 s-1.What is the value of the constant C in the equation x = Ct2/2, where x is the depth of the p-n junction and t is the time?

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