Titlebook: Crystal Structure Determination; The Role of the Cosi Herbert A. Hauptman Book 1972 Springer Science+Business Media New York 1972 crystal.c

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The Estradiol·Urea Complex and 6α-Fluorocortisol; Two-Dimensional Invariants of known phases. For moderately complex structures (20 to 40 independent non-hydrogen atoms) which have appreciable overlap in the Patterson synthesis it is desirable to determine some 40 to 60 phases correctly before applying the tangent formula. (In contrast, 6 – 8 phases often suffice in the mul

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Hexestrol; Quadruplesch cases, consideration of the relationship of the triple in question to triples which do have well-determined cosines may allow its cosine to be evaluated. Several types of relationships or identities among structure invariants were discussed in §3 of Chapter V, and the present ehapter deals with t

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9-,-Butyl-9,10-Dihydroanthracene; Modified Tangent Procedureed to the data for three solved steroid crystal structures (VII, §3 and §4). However, the simple tangent formula had been adequate to solve these structures and, based on these results alone, it was questionable whether the modified tangent procedure would allow for a structure solution in a case wh

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The Financial Crisis and Digital Currencieshe particular set of base phases which were used is demonstrated by the fact that, throughout the tangent cycles, multiple minima were encountered in the modified tangent minimization function only twice. Wherever possible, enough data are given that alternative methods of phasing this structure can

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Explicit Formulas for the Cosine Seminvariants: The Algebraic Approach