At 0k, why is fermi level halfway in bandgap?? Fermi Level is defined as the maximum energy an electron posesses at 0k, which appears to be midway in the bandgap. I learnt that in the bandgap, there are no available states (i.e. no wavefunctions of electrons) hence, no electrons can possibly EXIST at the bandgap, so why is it that at 0k, some electrons have energy halfway between the band gap?? Does it mean that there are electrons halfway in the bandgap?? Shouldnt the fermi level be at the TOP of the valence band instead?