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Sketch the potential energy or E_C and E_V as a function of position in a semiconductor crystal which contains

(a) a complete random distribution of a small fraction of the host atoms from their lattice sites,

(b) non-crystalline or amorphous regions where the host atoms are completely randomly located,

(d) substiitutional donor impurity atoms completely randomly distributed,

(e) substitutional donor impurity atoms not as randomly distributed as in problem (d),

(f) donor-acceptor impurity pairs whose separation in completely randomly distributed.

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