Question
Calculate the temperature at which the number of electrons in the conduction band of a semiconductor is four times the number at room temperature. Take the band gap energy to be 1.2 eV with Ec - EF ≈ EG.
Answer :
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In a semiconductor, the number of electrons in the conduction band is governed by the Fermi-Dirac distribution function. The concentration of conduction electrons, nn, is given by the equation:
n(T)=Ncexp(−Eg2kBT)n(T) = N_c \exp\left(\frac{-E_g}{2k_B T}\right)
where:
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