HW%20_2%20Solutions - EEE436-Solutions to HW#2Spring...

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EEE436--Solutions to HW#2—Spring 2010 (100 pts. total) 3. (22 pts.; 4 pts. ea., except part a is 2 pts.) a) Extrinsic regime. At 300 K, the electron concentration is in the middle range where it is approximately independent of temperature and equal to the net doping concentration; this is the extrinsic/exhaustion regime. b) i) As the donor ionization energy is increased, the slope of n (T) in the freeze-out regime becomes steeper. Secondly, the boundary between the extrinsic and freeze-out regimes shifts to higher temperature, causing an extrinsic regime that covers a narrower range of temperatures. ii) The freeze-out regime is mainly affected (though the temperature range of the extrinsic regime also changes). c) i) The electron concentration in the extrinsic regime goes up or down with N D , because n = N D N A . ii) The temperature at which the material changes from extrinsic to intrinsic increases as N D is increased. iii) The change from extrinsic to intrinsic happens when n i ( T ) exceeds N D N A (i.e., the
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