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An efficient algorithm is described for finding the maximum entropy density distribution under the constraint that (Σ |F|cos (2πh . r- φ)), where the sum is over a subset of reflections whose phase has been determined, is constant. This algorithm is combined with solvent flattening in a procedure for extending phases to higher resolution. A test of the procedure on the structure of ribonuclease A and its application to the determination of two previously unknown structures are discussed.
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