I'm in the process of studying for my final and I just can't solve this problem:(adsbygoogle = window.adsbygoogle || []).push({});

The work function (energy needed to remove an electron) of gold is 5.1 eV. Two pieces of gold (at the same potential) are separated by a distance L.

For what value of L will the transmission probability for an electron to cross from one to the other be T ≈ 10-3? Assume that G = 1 in the formula for the tunneling probability.

(a) L = 0.001 nm

(b) L = 0.02 nm

(c) L = 0.1 nm

(d) L = 0.3 nm

(e) L = 4

The attempt at a solution

I'm pretty sure I rearrange the tunneling equation and solve for L. Things are made easier since I'm told G=1. This means that [itex]L = -\frac{ln(T)}{2K}[/itex] , where [itex]K=\sqrt{\frac{2m}{\hbar}(U_{0-E})}[/itex]. My only problem is which values do I use for U_{0}and E?

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# Homework Help: Tunnelling probability

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