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Commit 4c49b78e authored by T. van der Sar's avatar T. van der Sar
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Update 14_doping_and_devices_solutions.md - typo

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......@@ -19,7 +19,7 @@ $$ n_e - n_h + n_D - n_A = N_D - N_A $$
Since $E_G \gg k_B T$, we can only use the law of mass action.
But the question offers us another piece of information - we are around $|N_D-N_A| \approx n_i$.
That means that we are near the transition between extrinsic and intrinsic regimes.
However, we also know that dopants energies are quite small such that $E_C-E_A \ll E_G$ and $E_A-E_V \ll E_G$.
However, we also know that dopants energies are quite small such that $E_C-E_D \ll E_G$ and $E_A-E_V \ll E_G$.
That means that we expect $n_i \ll n_D$ and $n_i \ll n_A$ (since both $n_i$ and dopant ionazition depends exponentially of the corresponding energy differences).
Therefore, we can confidently say that $N_D \gg n_D$ and $N_A \gg n_A$ so we esentially recover the dopant ionization condition.
Thus, neglecting $n_D$ and $n_A$ such that they are both 0, the solutions to the charge balance are:
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