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Phase relations between quartets of reflexions can be found either directly from a generalized Hughes expression or by elimination of the phase of a reflexion common to two Σ2 relationships. By combining the information from both types, strengthened quartet relationships (SQR) can be constructed, which are comparable to the Σ2 relations in reliability and number. Most of the reliable SQR's involve the strong reflexions only. The phases of these reflexions are related by a highly overdetermined system of equations leading in a simple manner to a good starting set.
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