Question

R t = 250k, calculate the probability that a state at the top of the valance band is empty?

Answer 1

The probability that a state at the top of the valance band is empty is 0 (or 0%).

Step-by-step explanation:

The probability that a state at the top of the valance band is empty can be calculated using the Fermi factor, F. At T = 0 K, a state with energy E < EF (Fermi energy) is occupied by a single electron, and a state with energy E > EF is unoccupied. The probability F(E) that a state of energy E is occupied can be given by:

F(E) = 1 / (1 + exp((E-EF)/(kT)))

Now, substituting the given value EF = 250k, and considering T = 0 K, the equation becomes:

F(E) = 1 / (1 + exp((E-250k)/(k*0))) = 1

Therefore, the probability that a state at the top of the valance band is empty is 0 (or 0%).