For Ge semiconductor, assume the Fermi energy level is 0.1 eV below the conduction band energy Ec. Let the absolute temperature T for items i and ii be 200 K. i. Find the number of quantum states between Ec and Ec + 7 x kbT Determine the probability of a state being empty of an ii. electron at Ec+ 7 x kbT. iii. Find the temperature at which there is an electron at the state Ec+ 0.7 < kbT with probability 30% iv. Repeat item iii by using the Boltzmann approximation rather than the Fermi-Dirac distribution Find the difference in temperature between items ii and V. iv above and express this difference as percentage

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For Ge semiconductor, assume the Fermi energy level
is 0.1 eV below the conduction band energy Ec. Let the
absolute temperature T for items i and ii be 200 K.
Find the number of quantum states between Ec and Ec +
7 x kbT
i.
ii.
Determine the probability of a state being empty of an
electron at Ec+ 7 x kbT.
ii.
Find the temperature at which there is an electron at the
state Ec+ 0.7 « kbT with probability 30%
iv.
Repeat item iii by using the Boltzmann approximation
rather than the Fermi-Dirac distribution
Find the difference in temperature between items i and
v.
iv above and express this difference as percentage
|
Transcribed Image Text:For Ge semiconductor, assume the Fermi energy level is 0.1 eV below the conduction band energy Ec. Let the absolute temperature T for items i and ii be 200 K. Find the number of quantum states between Ec and Ec + 7 x kbT i. ii. Determine the probability of a state being empty of an electron at Ec+ 7 x kbT. ii. Find the temperature at which there is an electron at the state Ec+ 0.7 « kbT with probability 30% iv. Repeat item iii by using the Boltzmann approximation rather than the Fermi-Dirac distribution Find the difference in temperature between items i and v. iv above and express this difference as percentage |
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