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Fermi distribution of 3s electrons of sodium

  1. Feb 26, 2009 #1

    N8

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    1. The problem statement, all variables and given/known data

    What fraction of the 3s-electrons of sodium is found within an energy k_b*T below the Fermi level? (Take room temperature at T= 300k) Fermi level for Na is 3.2 eV

    2. Relevant equations

    F(E) = 1 / {exp((E-E_f)/k_b*T) + 1}

    3. The attempt at a solution

    From what I can tell, do not need to know room temp, or even sodium's fermi level. Simply do (E=Ef-k_b*T) solve through and obtain 1/((e^-1)+1) which ends up being approximately 0.73.

    However, book states the answer is 0.88. Why is this? I do not understand where I am going wrong. Any help would be much appreciated.
     
  2. jcsd
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