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The band gap of a semiconducting material is ~ 2 eV. Which one of the following absorption (A) vs. energy (in eV) curves is correct?

  • A.Absorption about 90 percent at low energy, falling sharply to zero just below 2 eV
  • B.Absorption constant at 90 percent at all energies
  • C.Absorption constant at 10 percent at all energies
  • D.Absorption zero at low energy, rising sharply near 2 eV to about 90 percent and staying there

Answer: D

The correct curve is (D).

A photon can be absorbed by exciting an electron across the band gap only if its energy is at least \(E_{g}\). For \(E_{g} \approx 2\) eV, light below about 2 eV passes through with little absorption, and above about 2 eV absorption rises steeply to a high value. That is the step up near 2 eV in curve (D).

Curve (A) is reversed, absorbing low-energy photons and transmitting high-energy ones. The flat curves (B) and (C) show no absorption edge at all, which is how a metal (strong absorption at all energies) or a wide-gap insulator in this range might behave, not a 2 eV semiconductor.

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