Using the Fermi-Dirac equation, calculate the energy range about EF (= 3 eV) between F(E) =
0.9 and F(E) = 0.1 at 1000K. Express your result as EF ± delta E, that is, 3 ± delta E eV

Question

Using the Fermi-Dirac equation, calculate the energy range about EF (= 3 eV) between F(E) = 
0.9 and F(E) = 0.1 at 1000K. Express your result as EF ± delta E, that is, 3 ± delta E eV

anonymous · Answer

Consider the equation for a Fermi-Dirac distribution:$$f(E)=\frac{ 1 }{ e ^{\left( E-E _{F} \right)/kT}+1}$$You're given two f(E) values, EF, and T. k is Boltzmann's constant.  So you simply need to solve the above equation for E, right?

anonymous · Answer

I should have included your name, @xuebowei, since it's been a while since you posted this.