The bremsstrahlung from solid material caused by runaway electrons may blur
severely the bremsstrahlung that is recorded from gases or plasmas in orde
r to determine the energy distribution of their hot electrons. The expressi
ons for these emissions are presented in order to compare their characteris
tics. Explanations are then given for an irregular feature observed at the
tip of the spectrum for solid targets. More importantly, a type of diagnost
ics of energy distribution functions is proposed, based on analysis of the
bremsstrahlung emissivity from thick targets. II can be implemented on expe
rimental setups by purposely inserting a well-defined solid target into the
electron trajectories, and it is applied as an example to the electron bea
m of microwave tubes. These diagnostics could also be taken advantage of to
study runaway electrons hitting vessel walls.