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!

From the Shockley Ideal Diode Equation derive...

  1. Oct 3, 2016 #1
    1. The problem statement, all variables and given/known data
    The Shockley idea diode equation is

    ##I = I_0( e^{\frac{qV}{kT}}-1)## (1)

    Where ##I_0## is the reverse bias saturation current, ##q## is the charge of an electron, ##T## is temperature in Kelvin and ##k## is Boltzmann's constant. For large reverse voltages, ##I## is equal to ##I_0## and is the result of different contributions. Diffusion current varies as ##n_i^2## and generation current as ##n_i##. We assume generation current can be neglected as the temperature is sufficiently high.

    Then ##I_0## is solely due to minority carriers accelerated by the depletion zone field plus potential difference, and therefore it can be shown that

    ##I_0 = AT^{3 + \gamma/2}exp(-E_g(T)/kT)## (2)

    Where A is a constant and ##E_g## is the energy gap. Show how to get from (1) to (2).

    2. Relevant equations


    3. The attempt at a solution
    I can't see at all how you would show that, because I don't see why the assumptions about temperature and where the current comes from affect the form of Equation 1 at all.

    I haven't had any lecture series on semiconductor physics, so do I need some understanding of what's physically happening to answer this question?
     
    Last edited by a moderator: Oct 3, 2016
  2. jcsd
  3. Oct 8, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted