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Question

Which of the following is an example of an indirect band gap intrinsic semiconductor?

A
Silicon
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B
Germanium
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C
Gallium Arsenide
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D
None of these
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Solution

The correct options are
A Silicon
B Germanium
Indirect band gap means if the crystal momentum (k-vectors) of electrons and holes is different in conduction and valence band. As a result, a photon cannot be emitted because the electron passes through an intermediate state and transfer momentum to the crystal lattice.
Example: Silicon and Germanium.

Energy vs Crystal momentum for a semiconductor with an indirect band gap.

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