“…As balloon and rocket experiments have recorded auroral X-rays since about 1960, there has been a need for models that calculate the X-ray production from electron precipitation. Several models using dierent approximations and simpli®cations have been developed in order to calculate the yield of X-rays from electron spectra (Rees, 1964;Kamiyama, 1966;Freyer, 1969;Berger et al, 1970;Berger and Seltzer, 1972;Seltzer and Berger, 1974;Luhman and Blake, 1977;Walt et al, 1979;Khosa et al, 1984;Robinson et al, 1989;Gorney, 1987). Experiments have been performed to make simultaneous measurements of electrons and X-rays (Vij et al, 1975;Mizera et al, 1978;Goldberg et al, 1982;Datlowe et al, 1988), and the comparisons between measured and calculated X-rays have resulted in dierent degrees of agreement.…”