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