From 78e25de72607982988250a498fa4789cc47c4c4b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Simon=20Th=C3=BCr?= <thuer.simon@hotmail.com>
Date: Mon, 17 Apr 2023 20:44:35 +0200
Subject: [PATCH] add diffusion length
---
.gitignore | 12 ++++++++++++
06_pn_junction_diode.tex | 7 +++++++
2 files changed, 19 insertions(+)
diff --git a/.gitignore b/.gitignore
index 978d395..f108ac5 100644
--- a/.gitignore
+++ b/.gitignore
@@ -2,3 +2,15 @@
*.gz
*.pdf
+
+*.aux
+
+*.fdb_latexmk
+
+*.out
+
+*.toc
+
+*.log
+
+*.fls
diff --git a/06_pn_junction_diode.tex b/06_pn_junction_diode.tex
index 965334f..d403b37 100644
--- a/06_pn_junction_diode.tex
+++ b/06_pn_junction_diode.tex
@@ -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)
\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:
\begin{equation}
I = I_0\left(\exp\frac{qV}{nkT}-1\right)
--
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