X‐ray tube spectra make an essential contribution to the quantitative description of experimental setups or for quantitative x‐ray analysis. After an outline of the historical development of the description of tube spectra the approaches given by Wiederschwinger, Ebel et al. Schossmann et al. and Pella et al. are treated in detail. Summarizing the theoretical treatment and the applications, it can be stated that both approaches give comparable results over a certain spectral range. Pella's approach is restricted to electron incidence angles of 90° and application of Pella's spectral responses in the lower keV range should be avoided. Copyright © 1999 John Wiley & Sons, Ltd.