Abstract: The invention relates to a method for classifying and identifying by means of energy dispersion X-ray fluorescence analysis chemical substances whose X-ray fluorescence lines cannot be detected and which therefore cannot be classified by energy dispersion X-ray fluorescence analysis alone. Said method is characterized in that the sample to be analyzed is analyzed in its original packaging or natural state without prior processing in a sample vessel. According to the method the sample is: a) positioned in front of the measuring aperture in a sample chamber of an X-ray fluorescence apparatus; b) measured; and c) classified and identified by application of multivariate, statistical techniques to the measurement signals obtained, i.e., to the Compton and Rayleigh scattering.