1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted