A CONTINUOUS X-ray spectrum can be determined by indirect measurements as well as by direct methods. The indirect method used here is the spectral determination from attenuation data by means of the Laplace transformation. Intuitively, this method does not seem difficult. If a spectrum is given, it is a simple matter of calculation to obtain the attenuation curve for an absorber whose absorption coefficient as a function of wavelength is known. Conversely, if an attenuation curve and the absorption data are given, it is quite conceivable that one should be able to derive the spectrum. However, the actual procedure is not a simple one. The mathematical operation on which this method depends is the Laplace transformation. The problem was first formulated by Silberstein (1932Silberstein ( , 1933 and later developed by Bell (1936), Jones (1940, Greening (1947Greening ( , 1950 and others. The gist of the method is as follows:let I o = the intensity of the primary X-ray beam,