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Verified Commit 78e25de7 authored by Simon Josef Thür's avatar Simon Josef Thür
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add diffusion length

parent ef921b2a
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...@@ -2,3 +2,15 @@ ...@@ -2,3 +2,15 @@
*.gz *.gz
*.pdf *.pdf
*.aux
*.fdb_latexmk
*.out
*.toc
*.log
*.fls
...@@ -67,6 +67,13 @@ Or so simplify ...@@ -67,6 +67,13 @@ Or so simplify
I_0 & = A q n_i^2 \left( \frac{D_n}{L_n N_A} + \frac{D_p}{L_p N_D} \right) I_0 & = A q n_i^2 \left( \frac{D_n}{L_n N_A} + \frac{D_p}{L_p N_D} \right)
\end{align} \end{align}
where we use the electron diffusion length $L_n$ and hole diffusion length $L_p$:
\begin{alignat}{2}
L_n & = \sqrt{D_n\tau_n} & = W_p-x_p \\
L_p & = \sqrt{D_p\tau_p} & = W_n-x_n
\end{alignat}
Note that sometimes a non-ideality factor $n$ is used: Note that sometimes a non-ideality factor $n$ is used:
\begin{equation} \begin{equation}
I = I_0\left(\exp\frac{qV}{nkT}-1\right) I = I_0\left(\exp\frac{qV}{nkT}-1\right)
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