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Pn junction characteristics: How were the lengths and minority carrier concentrations derived from the above information?

An example says,
Na=10^18cm^-3
Nd=10^16cm^-3
Dp=10cm^2/s
Dn=25cm^2/s
tpo=10^-7s
tno=10^-7s

"We can then calculate the following parameters:"

Lp=1.0x10^-3cm
Ln=1.58X10^-3cm
pno=2.25x10^4cm^-3
npo=2.25x10^2cm^-3

How were the lengths and minority carrier concentrations derived from the above information? And mathematically what is Shottky barrier lowering?

Solution Preview

Please see the attached file for a full derivation

The Diffusion length (Ln or Lp) is related to the minority carrier lifetime (tn or tp) and the diffusion coefficient ...

Solution Summary

The solution provides good explanations and calculations used in solving the problem.

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