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Titlebook: Direct Methods of Solving Crystal Structures; Henk Schenk Book 1991 Springer Science+Business Media New York 1991 DSI_D012

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An Elementary Introduction to Direct Methods, atoms) and since many more intensities can be measured, relationships among the structure factors F., and thus among the phases ., must exist. Direct Methods identify and use these phase relationships to solve the phase problem.
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The Cochran Distribution, in greater detail, could restrict general phases in the non-centrosymmetric case and Sayre’s equation (Sayre, 1952) could be applied to any equal-atom structure regardless of space group and therefore could put some constraints on the phases of the involved structure factors.
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Some Applications of Probability Theory in Direct Methods,n, there have been numerous applications of probability theory to the problem of crystal structure determination. They have essentially provided a solution for the case of small molecule crystal structures.
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Martin Beck-Burridge,Jeremy WaltonA single three-phase relationship, cast in the form . is capable of giving an estimate of the value of ϕ(h) if the values of the phases on the right-hand side are known. The question now arises of finding the overall estimate if there are several pairs of known phases, the estimate from each of which might well be different.
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Uwe G. Kersting,Filip G. LysdalThree major themes are developed:
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Sport Technology Effectiveness,The Maximum Entropy Method (MEM) is not a completely different approach from Conventional Direct Methods (CDM) : it is an . of the latter at the level of the techniques of Analytic Probability Theory on which they are based.
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