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.

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

=>        

=>