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Intermediate-mass, chemically peculiar stars with strong magnetic fields giveus an excellent opportunity to study the topology of their surface magneticfields and the interplay between magnetic geometries and abundanceinhomogeneities in their atmospheres.  We reconstruct detailed maps of the surface magnetic field and abundancedistributions for the magnetic Ap star HD 125248.  We performed the analysis based on phase-resolved, four Stokes parameterspectropolarimetric observations obtained with the HARPSpol instrument. Thesedata were interpreted with the magnetic Doppler imaging technique.  We improved the atmospheric parameters of the star, T_eff = 9850K +/- 250Kand logg = 4.05 +/- 0.10. We performed detailed abundance analysis anddiscovered vertical stratification effects for the FeII and CrII ions. Wecomputed LSD Stokes profiles and studied their behavior with rotational phase.We improved the rotational period of the star P_rot = 9.29558(6)d. MagneticDoppler imaging of HD 125248 showed that its magnetic field is mostly poloidaland quasi-dipolar with two large spots of different polarity and fieldstrength. The chemical maps of Fe, Cr, Ce, Nd, Gd, and Ti show abundancecontrasts of 0.9-3.5 dex. Among these elements, the Fe abundance map does notshow high-contrast features. Cr is overabundant around the negative magneticpole and has 3.5 dex abundance range. The rare earth elements and Ti areoverabundant near the positive magnetic pole.  The magnetic field of HD 125248 has strong deviations from the classicalaxisymmetric dipole field geometry. The comparison to results derived for otherstars using four Stokes magnetic Doppler imaging suggests evidence that thefield topology becomes simpler with increasing age. The abundance maps showweak correlation with the magnetic field geometry, but they do not agree withthe atomic diffusion calculations.

Magnetic Doppler imaging of the chemically peculiar star HD 125248