If the average number of electrons per atom in the conduction band is 1/3, then the Fermi energy is
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Explanation:
x^2+1/x^2=7
Add 2x.1/x on both sides
x^2+1/x^2+2*x*1/x =7+2*x*1/x
(x+1/x)^2= 9
x+1/x=+3
on cubing
x^3+1/x^3+3x^2*1/x+3x*1/x^2=+27
x^3+1/x^3+3x+3/x= 27
x^3+1/x^3+3(x+1/x)=27
x^3+1/x^3+9=27
x^3+1/x^3=18
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