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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 Friedel's pairs ： ウィキペディア英語版 Friedel's law Friedel's law, named after Georges Friedel, is a property of Fourier transforms of real functions. Given a real function $f(x)$, its Fourier transform :$F(k)=\backslash int^\_f(x)e^dx$ has the following properties. *$F(k)=F^$ *(-k) \, where $F^$ * is the complex conjugate of $F$. Centrosymmetric points $(k,-k)$ are called Friedel's pairs. The squared amplitude ($|F|^2$) is centrosymmetric: * $|F(k)|^2=|F(-k)|^2\; \backslash ,$ The phase $\backslash phi$ of $F$ is antisymmetric: * $\backslash phi(k)\; =\; -\backslash phi(-k)\; \backslash ,$. Friedel's law is used in X-ray diffraction, crystallography and scattering from real potential within the Born approximation. Note that a (twin operation ) (aka ''Opération de maclage'') is equivalent to an inversion centre and the intensities from the individuals are equivalent under Friedel's law.〔Friedel G (1904). "Étude sur les groupements cristallins". Extract from ''Bullettin de la Société de l'Industrie Minérale'', Quatrième série, Tomes III et IV. Saint-Étienne: Societè de l'Imprimerie Thèolier J. Thomas et C.〕〔Friedel G. (1923). ''Bull. Soc. Fr. Minéral.'' 46:79-95.〕 ==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「Friedel's law」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.