## A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barrier with a b

Question

A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barrier with a barrier height of Vo = 0.4 eV, the electron energy is 0.04 eV Determine the maximum barrier width.

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1 month 2021-07-31T19:38:29+00:00 1 Answers 2 views 0

Generally the barrier width is

Step-by-step explanation:

From the question we are told that

The tunneling probability required is

The barrier height is

The electron energy is

Generally the wave number is mathematically represented as

Here m is the mass of the electron with the value

h  is is know as h-bar and the value is

So

=>

Generally the tunneling probability is mathematically represented as

So

=>

Taking natural log of both sides

=>

=>