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What is the probability of an electron being thermally promoted to conduction band in diamond at 27°C, if bandgap is 5.6 eV wide.
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f(Ec) = 1 1+e(EcEvRT)

K = Boltzman constant = 1.38 ×10-23 J/K

 

In eV it is given by

K(in eV) = 1.38×10231.6×106 = 86.25 × 10-6 eV

 

Also in intrinsic semiconductor

EC - EV = Eg2

Ec - Ev  = 5.62 = 2.8

EcEv KT = 2.886.25×106×(27+273) = 108.212

f(Ec) = 11+e108.212

f(EC) = 1×1047

It implies that it is insulator.

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