The invention relates to a method for determining geometrical-optical aberrations up to and including 3rd order in particle-optical, probe-forming systems, in particular scanning electron microscopes, comprising an essentially punctiform source, lenses, an object, and a detector, the image being recorded, the process being repeated with an overfocussed and an underfocussed beam, the images being transformed in Fourier space, the transformation of the overfocussed image, and the underfocussed image is divided by the transformed focussed image. The results are reverse transformed, and the brightness profiles of the probes, the images of the source, are determined in overfocus and underfocus. The asymmetry, the width and/or the curvature of the profile being determined in the center, and the image aberration being determined from the differences.