The valence electronic structure of materials with crystalline order i
s described by the energy-momentum dispersion laws and densities of el
ectron bands. These quantities are directly observed for the surfaces
of thin (about 100 Angstrom) solid films by electron momentum spectros
copy, based on kinematically complete observations of ionization event
s. The principles of the experiment and the imperfections of the probe
are described and illustrated by examples. Comparison is made with ot
her electron spectroscopies that measure subsets of the complete energ
y-momentum density information.