(a) Show that for E ? 0, the Fermi factor may be written as (b) Show that...

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(a) Show that for E ? 0, the Fermi factor may be written as

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(b) Show that if C?>> e?E/kT, f(E) = Ae?E/kT

image

(d) Using the result obtained in part (c), show that the classical approximation is applicable when the electron concentration is very small and/or the temperature is very high.

(e) Most semiconductors have impurities added in a process called doping, which increases the free electron concentration so that it is about 1017/cm3 at room temperature. Show that for these systems, the classical distribution function is applicable.

Distribution
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