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## Homework Statement

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.

## Homework Equations

T [tex]\approx[/tex] G*e

^{-2KL}

where K=2*pi*[tex]\sqrt{((2*m)/h

^{2})*(U

_{o}-E))}[/tex]

T: Tunneling Probability

m: Electron Mass

U

_{o}: Potential (the work function in this case)

E: Energy of the electron

L: Length of the potential barrier to tunnel

h: Planck's constant

## The Attempt at a Solution

It seems to be a simple plug and chug, but how do I find the energy to use in the (U

_{o}-E) part in the tunneling equation?