A special semiconductor material is to he "designed." The
semiconductor is to be n-type and doped with 1 x 10¹⁵
cm-3 donor atoms. Assume complete ionization an assume Na =0. Theeffective density of states functions are given by Nc = Nv = 1.5 x
10¹⁹
cm-3 and are independent of temperature. A particular
semiconductor device fabricated with this material requires the
electron concentration to be no greater than 1.01 x 10¹⁵cm-3 at T =
400 K. What is the minimum value of the bandgap energy?
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