Task-8 Find the oxide charge density at the flatband condition (taking into account the work function difference) and at the midgap condition? How many charges does this correspond to ?

-       Flatband  Condition:                                                                                                                                      From the reading notes, we could write the below equations:

s After calculation 

   

c 

   Midgap Condition:

  The ideal gate voltage could be calculated by the equation

From this equation we know that 

           

The oxide charge density: 

Therefore:

                           

And the correspond charges are 

 After calculation