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Calculate the ratio of the number of electrons at the bottom of the conduction b

ID: 499911 • Letter: C

Question

Calculate the ratio of the number of electrons at the bottom of the conduction band to those at the top of the valence band for pure Si at 335 K . The Si band gap is 1.1 eV. Use the Boltzmann distribution to answer and assume that the ratio of the degeneracies is unity.

Calculate the ratio of the number of electrons at the bottom of the conduction band to those at the top of the valence band for pure Si at 335 K. The Si band gap is 1.1 eV. Use the Boltzmann distribution to answer and assume that the ratio of the degeneracies is unity Express your answer using two significant figures Xb b ratio Submit My Answers Give U

Explanation / Answer

ratio of the number of electrons at the bottom of the conduction band to those at the top of the valence band

and

The Boltzmann distribution law is then given by the expression: N2/N1 =exp(-(E2-E1)/(k*T))

=> N2/N1 = exp(-1.1/(8.617*10^-5*335) ) =2.8238043*10^-17

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