Energy needed to tunnel through a potential barrier

Tester_Boy
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Homework Statement



An electron approaches a potential barrier 10 eV high and 0.5 nm wide. If the electron has a
1% chance of tunnelling through, what must be its energy?


Homework Equations



don't know how to put equations in eg how do i get something like alpha and theta etc



The Attempt at a Solution



ended up with a massive equations with E's all over the place and imposible to solve :(
 
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Show how you tried to solve this problem. What is the transmission coefficient expression you are using?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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