Bremsstrahlung rate and spectra from a hot gas (Z = 1)

An interpolation between the quadrupole and extreme relativistic electron-electron brems-strahlung contribution to the emission rate and spectra from a Maxwell-Boltzmann electron gas is carried out. These results are then added to the "exact" electron-ion results already in the literature to give the total emission for the temperature region 1 keV≤kTₑ≲0.3 MeV. It is found that quadrupole corrections are sufficient until the temperatures reach kTₑ≃100 keV. At higher temperatures all multipoles must be included in order to describe the emission accurately.