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Tunneling probability

  1. Sep 28, 2009 #1
    1. The problem statement, all variables and given/known data

    An electron of energy E = 2.10 eV is incident on a barrier of width L = 0.67 nm and height Vo = 3.10 eV

    What is the probability that the electron will pass through the barrier?

    2. Relevant equations

    I know that T=Ge^-2KL.
    K=2pi*sqrt((E-Uo)/1.505eVnm^2))
    G=16*(E/Uo)*(1-(E/Uo))

    3. The attempt at a solution

    K=5.12nm^-1
    G=3.5
    T=3.5*exp(-2*(5.12nm^-1)*(.67nm))
    nm cancels in the exponent so:
    T=3.5*exp(-2*5.12*.67)=3.5*.001=.35%
    This isn't the right answer though. I've tried 3.5,
    35, .035, and .0035 and none of these answers are right. Any help? Thanks!
     
  2. jcsd
  3. Sep 28, 2009 #2
    If you're looking for the probability that it tunnels, that should be |T|^2, not just T (remember, all of the physical significance of the wave function has to do with it's absolute magnitude)
     
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