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The existence of the Kα2 lines in powder diffractograms has always obscured the interpretation of the diffraction patterns. Studies involving integrated intensity measurements, peak intensities and line broadening have been hampered owing to these extraneous lines. Crystal monochromators are ineffective for eliminating the Kα2 profile. This paper presents an algorithm which practically removes the Cu Kα2 profile. Previous procedures to remove the Kα2 line or resolve the Kα doublet assumed the shape of the α2 component to be identical to that of the a, component. The algorithm presented here uses the actual shape relationship between observed α1 and α2 components as a basis for elimination of the α2 profile. This algorithm has been applied to an on-line computer-controlled diffractometer to produce `real time' Cu Kα2-free diffraction patterns. The method is quite general and can be extended to remove the Kα2 lines of other radiations.