1. Feb 5, 2015 #1

   AIHUNTER

   

   Between Cs and Na, the fermi energy in metal approximately doubles. why doesn't the carrier concentration also double?

    

   AIHUNTER, Feb 5, 2015
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3. Feb 6, 2015 #2

   nasu

   

   Why would you expect to double?
   The free electron concentration is not proportional to the Fermi level.
   In the free electron approximation the Fermi energy goes like n^(2/3) where n is the free electron concentration.
   n for sodium is about 2.65 and for Cs about 0.91 (from Ascroft and Mermin) . In same units, 10^22/cm^3, for example.
   If you take the ratio of the concentrations and raise it to power 2/3 you get 2 Much better that I expected to work. :)

    

   nasu, Feb 6, 2015
4. Feb 8, 2015 #3

   AIHUNTER

   

   Thanks nasu :)

    

   AIHUNTER, Feb 8, 2015

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