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Verified Commit bb467c83 authored by Anton Akhmerov's avatar Anton Akhmerov
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fix a couple of typos

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...@@ -144,7 +144,7 @@ Additional information can be obtained using Hall effect. However Hall effect is ...@@ -144,7 +144,7 @@ Additional information can be obtained using Hall effect. However Hall effect is
### Light absorption ### Light absorption
See [previous lecture](.md#light-adsorption) See [previous lecture](12_band_structures_in_higher_dimensions.md#light-adsorption)
## Combining semiconductors: $pn$-junction ## Combining semiconductors: $pn$-junction
...@@ -211,11 +211,11 @@ Density of states in a doped semiconductor: ...@@ -211,11 +211,11 @@ Density of states in a doped semiconductor:
fig fig
``` ```
Charge balance determins the number of electrons and holes as well as the position of the Fermi level. Charge balance determines the number of electrons and holes as well as the position of the Fermi level.
If dopant concentrations are low, then $n_e = n_h = n_i \equiv \sqrt{N_C N_V}e^{-E_G/2kT}$. If dopant concentration is low, then $n_e = n_h = n_i \equiv \sqrt{N_C N_V}e^{-E_G/2kT}$.
If dopant concentrations are high, then in $n$-doped semiconductor $n_e = N_D - N_A$ and $n_h = n_i^2/n_e$ (or vice versa). If dopant concentration is high, then in $n$-doped semiconductor $n_e = N_D - N_A$ and $n_h = n_i^2/n_e$ (or vice versa in $p$-doped one).
Temperature switches between intrinsic and extrinsic regimes, and controls the carrier density Temperature switches between intrinsic and extrinsic regimes, and controls the carrier density
...@@ -248,7 +248,7 @@ For that we consider a doped semiconductor in the extrinsic regime. ...@@ -248,7 +248,7 @@ For that we consider a doped semiconductor in the extrinsic regime.
### Exercise 3: Performance of a diode ### Exercise 3: Performance of a diode
Consider a pn-junction diode as follows Consider a pn-junction diode as follows
<img src="https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/PN_diode_with_electrical_symbol.svg/800px-PN_diode_with_electrical_symbol.svg.png" width="50%" alt="pn diode"></img> <img src="https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/PN_diode_with_electrical_symbol.svg/800px-PN_diode_with_electrical_symbol.svg.png" width="50%" alt="pn diode"></img>
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