Problem 15.3

Start of definite integral = End of definite integral =

kBT = 0 kBT = 0.05 eV kBT = 0.1 eV kBT = 0.15 eV kBT = 0.2 eV kBT = 0.25 eV

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The graph shown represents the probability of occupation for an electron in a substance with a uniform density of states (unlike a metal where the density of states is proportional to E1/2). This function can be plotted for several different temperatures.  The integral shown is normalized and represents the probability of finding electrons of a certain energy range.  What percentage of the electrons are within 10% of the Fermi energy at the various temperatures?  Explain.  Restart.