In the special topic box in Section 6.7, the extreme sensitivity of scanning tunneling microscopes (STM) was described. It was reported that a change in the tunneling gap of only 0.4 nm between STM sample and probe can change the tunneling current by a factor of 104. Check the plausibility of this statement by using the “wide-barrier” approximation in Equation (6.70) to find the difference between the electron energy and barrier height that would produce such a situation. Report your answer in eV and comment in the result.
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