The method of joint probability distribution functions has been applied to powder data to find the anomalous scatterer substructure. The method needs two wavelength data: the conclusive formulas provide estimates of the substructure structure factors, from which the anomalous scatterer positions should be found by Patterson or Direct Methods. The theory has been applied to two compounds. The crystal structure of the first, trans-dichlorido-diacetate-ammine-(1-adamantylamine) Pt(IV), C14 H26 N2 O4 Cl2 Pt was unknown: we used Pt as anomalous scatterer. The crystal structure of the second, Iron(II) phthalocyanine bis (pyridine), C32 H16 N8 Fe (C5 H5 N)2, was known: we used Fe as anomalous scatterer. Both the two substructures were correctly located.
The method of joint probability distribution of structure factors has been re-formulated to  phase the full structure reflections, given the substructure. The phases  so obtained resulted carefully estimated, thus leading to the solution of the (unsolved)  first test structure and to confirm the solved one.

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