A representative volume element dxdydz of a uniformly doped n-type silicon crystal contains 100 substitutional phosphorus donors distributed on the superlattice so there is no local fluctuation of positions. Which of the following statements are correct and incorrect/ Give the fundamental reasons.
(a) fD is the fraction of the 100 donors each with one trapped electron.
(b) fD is the fraction of neutral donors.
(c) 1-fD is the fraction of the 100 donors unoccupied by electron.
(d) 1-fD is the fraction of donors each with one trapped hole.
(e) 1 -fD is the fraction of Ionized donor.
(f) When EF = ED, half of the donors are neutral.
(g) When EF-ED-kTlogegD, half of the donors are ionized.
(h) When fD =1/2, the first 50 donors are each occupied by an electron.
(I) When fD-1/2, 50 of the 100 donors are each occupied by a spin-up electron.
(J) When fD=1/2, 50 of the 100 donors are each occupied by an electron, some have spin up and others have spin down.
(k) When fD = 1/2, about 25 donors are each occupied by a spin-up electron and the other 25, a spin-down electron.
(l) When fD = 1/4, 25 donors are each occupied by an electron and 75 donors are each occupied by a hole.