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The analytical solution of the ideal model of chromatography for the band profile of a single component in overloaded elution is extended to the case of the elution of a rectangular pulse in countercurrent moving-bed chromatography. The formation of concentration shocks and diffuse boundaries resulting from the rectangular injection profile of the feed is discussed for compounds moving in the direction of either the liquid phase or the solid phase. Differences between the solutions obtained for the moving-bed and the fixed-bed problems are examined and explained.