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Simple Intrinsic Semiconductor Question

  1. Nov 25, 2015 #1
    1. The problem statement, all variables and given/known data
    Can anyone explained to me the factor of 2 in the equation for the intrinsic carrier concentration?

    2. Relevant equations
    ni is proportional to exp(-Eg/2kT)
    where ni is the intrinsic carrier concentration, Eg is the band gap energy, k is Boltzmann's constant, and T is temperature in Kelvins.

    3. The attempt at a solution
    I understand that there are two charge carriers (a hole in the valence band and a free electron in the conduction band), but I don't understand why it is Eg/2 and not 2Eg.
     
  2. jcsd
  3. Nov 25, 2015 #2
    Why would you think that it should be 2Eg?
    Have you ever looked-up how the formula for intrinsic concentration is obtained?
     
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