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: 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


    User Avatar
    Science Advisor
    Homework Helper

    What have you tried? Show us.

    And have you considered the possiblity to solve this numerically?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook