Please help me stepwise in word / pdf.
Given a tunneling barrier with a thickness of 2nm and a barrier height of 5eV, what is the minimum kinetic energy an electron would have to have to have a 50% chance of passing through? (hint it doesn't necessarily have to be less than the barrier height)© BrainMass Inc. brainmass.com March 4, 2021, 11:51 pm ad1c9bdddf
To calculate the tunneling probability, we first need to solve the Schrodinger equation for the wavefunction of the electron inside the barrier. We have
We compute the kinetic energy an electron must have in order to have a 50% probability of tunneling through a barrier of given height and thickness.