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A least-squares technique for direct refinement of the phases of structure-factors of crystals which obey the equations ahFh = 
FkFh - k is described. It is shown by tests carried out under somewhat idealized conditions that the initial phases need not be of a completeness or accuracy sufficient to resolve the atoms of the structure. The technique may be able to provide a bridge in protein crystallography and structure determination generally between preliminary phasing techniques and final refinement of atom parameters.
FkFh - k is described. It is shown by tests carried out under somewhat idealized conditions that the initial phases need not be of a completeness or accuracy sufficient to resolve the atoms of the structure. The technique may be able to provide a bridge in protein crystallography and structure determination generally between preliminary phasing techniques and final refinement of atom parameters.
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