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In centrosymmetric symmorphic space groups the correct Σ2 solution need not be one with the best consistency. In these space groups the correct Σ2 solution can be found using a new criterion related to the Harker–Kasper inequalities:
in which the summations over h and k are restricted to those terms for which |Uh|, |Uh + k|, |Uh − k| are large and |Uk| is small. The weights in HKC are consistent with the Harker–Kasper inequalities for T.