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suppose that an STM scans a surface at a a distance of a=1.000nm. Take the height...

suppose that an STM scans a surface at a a distance of a=1.000nm. Take the height of the potential energy barrier to be U0-E=2.00eV. If the distance between the surface and the STM tip decrease by 1.3% estimate the percentage change in the tunneling current.

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Answer #1

Since the wave function is proportional to , the transmission coefficient and the tunneling current is proportional to i.e

We calculate de value C, when a = 1 nm and when its value is 1.3% less than 1 nm, then and

Therefore

Then the porcentual change of the current is

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