In an isolated atom, the electrons occupy certain energy levels. In
a solid, the levels involved in bonding 'the valence states', become blurred, and
electrons can occupy a range of energies called bands. The energy of an electron in the
solid depends on its momentum. Hence, by detecting photoelectrons (see
UPS)
emitted from a surface at different emission angles, the energy of the electrons as a
function of the momentum vector may be determined. This process is known as "band
mapping" and is a powerful probe of the electronic structure of crystalline
materials. The measurements can usually be compared with theoretical predictions.