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QM Tunneling of electrons

  1. Apr 4, 2013 #1
    1. The problem statement, all variables and given/known data

    Electrons with energies of 0.201 eV are incident on a barrier 2.386 eV high and 0.383 nm wide. Find the probability for these electrons to penetrate the barrier.

    2. Relevant equations
    Note: h = h-bar

    k=Sqrt[2*m (V - E)]/h

    T = (1 + (V^2 (Sinh[k*L]^2))/(4*R (V - R)))^-1

    where
    T= transmission probability
    V= potential of the barrier
    E= energy of the electrons
    m- mass of electrons = 9.11*10^-31
    h= (4.14*10^-15)/(2*pi)
    L=.383*10^-9 m

    3. The attempt at a solution

    I've been using the equations for k and T found both in my textbook and on wikipedia and plugging them into mathematica, but they're both giving me wrong answers. Can anyone see what's wrong?
     
  2. jcsd
  3. Apr 4, 2013 #2
    Figured it out! I had to multiply each energy by e to make it a potential. So 2.386 eV becomes (2.386*(1.6*10^-19)) V and same for the other
     
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