1. Method for correcting distortions of a particle-optical apparatus, the particle-optical apparatus comprising: a particle source for producing a beam of particles, an object plane on which an object to be imaged may be placed, a condenser system for illuminating the object plane with the beam of particles, a projection system for forming an enlarged image of the object plane by imaging particles transmitted through the object on an image plane, the projection system introducing distortions, a detector for detecting the enlarged image, in which the detector comprises multipoles, the method comprising: producing a beam of particles; illuminating the object plane with the beam of particles; forming an enlarged image of the object plane by imaging particles transmitted through the object on an image plane, the projection system introducing distortions, and exciting the multipoles in such a way that the distortions in the enlarged image are at least partially corrected.