I have some qualitative questions about the relation between band structure, density of states, and Fermi energy (or Fermi level). 1) Say you have a given electronic band structure (energy as a function of k) obtained by any method. How do you relate this to the Fermi energy (or Fermi level) ? 2) I assume something with density of states is involved (is it?). If it is, what is the relation between density of states, electronic dispersion, and Fermi energy (or level)?