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courses:ast201:8

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8. Light and matter

1. Isolated atoms

Boltzmann distribution: $$ \frac{n_i}{n_j} = \frac{g_i}{g_j} e^{(E_j-E_i) / (kT)} $$

where $g$ is the number of distinct quantum mechanical states at a specific energy level.

2. Isolated molecules

3. Solid-state crystals

3.1 Bonds and bands

3.2 Conduction

3.3 Semiconductors

$$ P(T,E) = \frac{1}{1+e^{(E-E_F) / (kT)}} $$

$$ n_e (T,E) = P(T,E) S(E) $$

where $S$ is the number density of available states at an energy $E$.

4. Photoconductors

5. MOS capacitors

6. The p-n junction

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