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a) Qualitatively draw thermal equilibrium energy band diagrams of n-type and p-type silicon. At low-injection (light) condition draw their corresponding non-equilibrium energy band diagrams (hint: Fermin levelwill split into quasi Fermi levels

Question

a) Qualitatively draw thermal equilibrium energy band diagrams of n-type and p-type silicon. At low-injection (light) condition draw their corresponding non-equilibrium energy band diagrams (hint: Fermin levelwill split into quasi Fermi levels

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Solution

To draw the energy band diagrams for n-type and p-type silicon, you need to understand the basic concepts of energy bands and doping in semiconductors.

Step 1: Draw the basic energy band diagram The basic energy band diagram consists of the conduction band at the top, the valence band at the bottom, and the forbidden energy gap (also known as the bandgap) in between. The energy level in the middle of the bandgap is the intrinsic Fermi level (Ei).

Step 2: Draw the Fermi level for n-type and p-type silicon In n-type silicon, donor atoms donate electrons to the conduction band. This shifts the Fermi level (Ef) closer to the conduction band. In p-type silicon, acceptor atoms accept electrons from the valence band, creating holes. This shifts the Fermi level closer to the valence band.

Step 3: Draw the non-equilibrium energy band diagrams Under low-injection (light) conditions, the Fermi level splits into two quasi-Fermi levels. In n-type silicon, the electron quasi-Fermi level (Efn) is above the hole quasi-Fermi level (Efp). In p-type silicon, Efp is above Efn.

Remember, these diagrams are qualitative, so the exact positions of the energy levels are not important. What's important is their relative positions. The diagrams should clearly show that Ef is closer to the conduction band in n-type silicon and closer to the valence band in p-type silicon. Under non-equilibrium conditions, they should show that Efn is above Efp in n-type silicon and Efp is above Efn in p-type silicon.

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