Abstract

In some recent papers [Giacovazzo, Burla & Cascarano (1992). Acta Cryst. A48, 901–906; Burla, Cascarano & Giacovazzo (1992). Acta Cryst. A48, 906–912; Cascarano, Giacovazzo, Moliterni & Polidori (1994). Acta Cryst. A50, 22–27], the method of the joint probability distribution of structure factors has been used to define a function that is frequently a maximum for the correct structure. Such a function was the basis for a modified tangent formula using P10 (negative and positive) triplet estimates and negative quartet estimates, which proved more efficient than the classical tangent formula of Karle & Hauptman [Acta Cryst. (1956), 9, 635–651]. The method is here combined with a recent formulation [Giacovazzo (1993). Z. Kristallogr. 206, 161–171], which suggests the supplementary active use in the phasing process of psi-zero triplets. Experimental tests prove the higher efficiency of the method and justify the default active use of psi-zero relationships in SIR92.

Keywords

Joint probability distributionZero (linguistics)Set (abstract data type)Joint (building)MathematicsProbability distributionDiffractionDistribution (mathematics)CombinatoricsPhysicsComputer scienceStatisticsMathematical analysisOpticsEngineeringStructural engineering

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Publication Info

Year
1995
Type
article
Volume
51
Issue
6
Pages
820-825
Citations
10
Access
Closed

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G. Cascarano, Carmelo Giacovazzo (1995). The joint probability distribution of any set of phases given any set of diffraction magnitudes. IV. The active use of psi-zero triplets. Acta Crystallographica Section A Foundations of Crystallography , 51 (6) , 820-825. https://doi.org/10.1107/s0108767395003734

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DOI
10.1107/s0108767395003734