Janak Paudel, Larger bandgap typically corresponds to a lower intrinsic carrier concentration, while a smaller bandgap results in a higher intrinsic carrier concentration. This relationship is due to the energy required to promote electrons from the valence band to the conduction band.
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In semiconductors, the carrier concentrations depends on Fermi level position in the gap. Nevertheless, in the case of an intrinsic semiconductor the carrier densities are equal and given in the attached photo