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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Sayre equation ： ウィキペディア英語版 Sayre equation In crystallography, the Sayre equation, named after David Sayre who introduced it in 1952, is a mathematical relationship that allows to calculate probable values for the phases of some diffracted beams. It is used when employing direct methods to solve a structure. Its formulation is the following: $F\_\; =\; \backslash sum\_\; F\_F\_$ which states how the structure factor for a beam can be calculated as the sum of the products of pairs of structure factors whose indices sum to the desired values of $h,k,l$. Since weak diffracted beams will contribute a little to the sum, this method can be a powerful way of finding the phase of related beams, if some of the initial phases are already known by other methods. In particular, for three such related beams in a centrosymmetric structure, the phases can only be 0 or $\backslash pi$ and the Sayre equation reduces to the triplet relationship: $S\_\; \backslash approx\; S\_\; S\_$ where the $S$ indicates the sign of the structure factor (positive if the phase is 0 and negative if it is $\backslash pi$) and the $\backslash approx$ sign indicates that there is a certain degree of probability that the relationship is true, which becomes higher the stronger the beams are. == References == * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Sayre equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.