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Tunneling probability problem

  1. Jan 23, 2008 #1
    1. The problem statement, all variables and given/known data
    An electron approaches a potential barrier 10eV high and 0.5nm wide. If the electron has a 1%chance of tunneling through, what must be its energy?

    2. Relevant equations
    Transmission probability = [C/A]^2= [ 1 + (U^2 sinh^2(mu alpha))/(4E(U-E))]^-1

    where U=potential=10eV
    E=energy of electron
    alpha = width of box = 0.5 nm

    3. The attempt at a solution

    I've substituted everything in and fiddled for ages but I really can't rearrange to make E the subject of this formula. can anyone help?
  2. jcsd
  3. Jan 24, 2008 #2


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    What have you tried? Show us.

    And have you considered the possiblity to solve this numerically?
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