Question

The energy gap between the valence band and the conduction band in the widely-usd semiconductor gallium arsenide (GaAs) is A- 1.424 ev. (k 8.617x105 eV/K) At T 0 K the valence band has all the electrons. At T 0 K (shown), electrons are thermally excited across the gap into the conduction band, leaving an equal number of holes behind. Conduction band Energy gap, A Valence band 1) The density of free electrons (ne number per volumer) in a pure crystal of GaAs at T-9C is 2.11 x 1012 m 3. Assuming that the density depends on temperature as described in the simple model used in prelecture, what would the density of free electrons be at T-98 C?

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. 424 ev

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