Mass spectrometry with lasers generates ions from analyte molecules by matrix assisted laser desorption for a variety of different mass spectrometric analysis procedures. The mass spectrometers with laser systems supply laser light pulses having at least two different pulse durations, and mass spectrometric measuring techniques use the laser light pulses of different durations. The duration of the laser light pulses allows the characteristics of the ionization of the analyte molecules, particularly the occurrence of the ISD (in-source decay) and PSD (post-source decay) types of fragmentation, whose fragment ion spectra supply different kinds of information, to be adapted to the analytic procedure.