Powder diffraction patterns for isometric crystals become self-indexing if one calculates the quotients d12/d12, d12/d22,⋯,d12/dn2 where d1 is the largest interplanar spacing observed and d2,⋯,dn are successively smaller ones. The resultant set of squared quotients will then identify with one of the columns in Table 1 whereupon all lines become indexed. An advantage of this method over the commonly used graphic method is that reflections for which 2θ and (h2+k2+l2) are large are indexed as easily as those for which 2θ and (h2+k2 +l2) are small.

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