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solution

Under forward-bias conditions, the space-charge recombination current can be calculated from the Shockley–Read–Hall (SRH) model via a mid-gap recombination center. The recombination rate derived from the SRH model is given by

Under forward-bias conditions, the space-charge recombination current can be calculated from the...-1

where τ0 = 1/Ntσ v­ is the effective carrier lifetime.

(a) Find the conditions of maximum recombination rate from (1).

(b) If the recombination current in the junction space-charge region can be derived from

Under forward-bias conditions, the space-charge recombination current can be calculated from the...-2

where Ur is given by (1), and xn and xp are the depletion layer widths in the n and p regions, respectively, show that the recombination current density can be expressed by

Under forward-bias conditions, the space-charge recombination current can be calculated from the...-3

where W’ is the portion of the depletion region in which the recombination current is dominant, which is valid for qVa > 3kBT .

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