1. In what energy range (or above what energy) will the Boltzmann approximation give less than 1% error (a) in electron occupation, and (b) in hole occupation? Use the Fermi energy, EF, as the reference.
2. At what energy is the Fermi function equal to 1/2? Calculate and tabulate the occupation probability of the energy levels at (E-EF)/kT =-5, -4, -3, -2. -1, 0, +1, +2, +3, +4, +5 (a) by electrons, f(E), and (b) by holes, 1-f(E). (c) Tabulate also the probability and (d) the percent error of both electron and hole occupation factors if the Boltzmann approximation is made. Does the solution obtained in given Problem agree with the table?
Problem :-
Which of the following statements are fundamentally correct and which ones are fundamentally incorrect if taken at their face value without implied interpretation? Give the physics reasons. (a) Half of the energy levels at EF is occupied. (b) The energy level at EF is occupied by one electron. (c) The probability that the energy level at EFis occupied is 50%.