Fermi Distribution of Energy Levels

[lvuongt]

Based on Fermi distribution, if there are two electron energy levels with occupation possibility of ¼ and ¾, respectively, calculate energy difference between these two levels.

 

[Rajini]

Based on Fermi distribution, if there are two electron energy levels with occupation possibility of ¼ and ¾, respectively, calculate energy difference between these two levels.

Hello, Did you tried an attempt for obtaining a solution? I advice you to start from Fermi-Dirac distribution formula! Write down the formula and each terms present in the formula, then you knwo what to do next,
Cheers, Rajini

 

[lvuongt]

Sorry forgot to put my attempt,

P(E)=1eE/kBT−1 ------------(1) from eq. 1, P(E1)=1/4 and P(E2)=3/4 E1=kBTln(5) E2=kBTln(7/4) hence DeltaE=E1−E2=kBTln(20/7)=1.0498 kBT

I was sure if this answer was okay since the distribution include the chemical potential as well.