The invention provides a method for acquiring fragment ion spectra of substances in complex substance mixtures wherein a trapped ion mobility spectrometer (“TIMS”) is used as the ion mobility separation device coupled to a triple quadrupole mass filter assembly. The fragment ion spectra may be used for the identification of high numbers of proteins in complex mixtures, or for a safe quantification of some substances, by their fragment ion mass spectra in a mass spectrometer with upstream substance separator. TIMS, in particular equipped with parallel accumulation, provides the unique possibility to prolong the ion accumulation duration to find more detectable ion species without decreasing the measuring capacity for fragment ion mass spectra. The high measurement capacity for fragment ion mass spectra permits the repeated measurement of low abundance ion species such as to improve the quality of the fragment ion spectra.