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In a previous paper we presented an updated magnetic field map for thechemically peculiar star Alpha 2 CVn using ESPaDOnS and Narval time-resolvedhigh-resolution Stokes $IQUV$ spectra. In this paper we focus on mappingvarious chemical element distributions on the surface of Alpha 2 CVn. With thenew magnetic field map and new chemical abundance distributions we caninvestigate the interplay between the chemical abundance structures and themagnetic field topology on the surface of Alpha 2 CVn.  Previous attempts at chemical abundance mapping of Alpha 2 CVn relied onlower resolution data. With our high resolution (R=65,000) dataset we presentnine chemical abundance maps for the elements O, Si, Cl, Ti, Cr, Fe, Pr, Nd andEu. We also derive an updated magnetic field map from Fe and Cr lines in Stokes$IQUV$ and O and Cl in Stokes $IV$. These new maps are inferred from lineprofiles in Stokes $IV$ using the magnetic Doppler imaging code Invers10. Weexamine these new chemical maps and investigate correlations with the magnetictopology of Alpha 2 CVn. We show that chemical abundance distributions varybetween elements, with two distinct groups of elements; one accumulates closeto the negative part of the radial field, whilst the other group shows higherabundances located where the radial magnetic field is on the order of 2 kGregardless of the polarity of the radial field component. We compare ourresults with previous works which have mapped chemical abundance structures ofAp stars. With the exception of Cr and Fe, we find no clear trend between whatwe reconstruct and other mapping results. We also find a lack of agreement withtheoretical predictions. This suggests that there is a gap in our theoreticalunderstanding of the formation of horizontal chemical abundance structures andthe connection to the magnetic field in Ap stars.

Stokes $IQUV$ magnetic Doppler imaging of Ap stars - III. Next generation chemical abundance mapping of Alpha 2 CVn