翻訳と辞書 Words near each other ・ Patterson (surname) ・ Patterson Belknap Webb & Tyler ・ Patterson Brothers Commercial Building and House ・ Patterson Companies ・ Patterson Covered Bridge No. 112 ・ Patterson Creek ・ Patterson Creek (disambiguation) ・ Patterson Creek (Iowa) ・ Patterson Creek (Ottawa) ・ Patterson Creek Cutoff ・ Patterson Creek Manor ・ Patterson Creek Mountain ・ Patterson Creek, West Virginia ・ Patterson Dial ・ Patterson Farmhouse (Delmar, New York) ・ Patterson function ・ Patterson Heights, Pennsylvania ・ Patterson High School ・ Patterson High School (Baltimore) ・ Patterson High School (California) ・ Patterson High School (Louisiana) ・ Patterson Homestead ・ Patterson Hood ・ Patterson Hotel ・ Patterson House ・ Patterson House (Larned, Kansas) ・ Patterson Houses ・ Patterson Island (Findlay Group) ・ Patterson Joint Unified School District ・ Patterson Lake Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Patterson function ： ウィキペディア英語版 Patterson function The Patterson function is used to solve the phase problem in X-ray crystallography. It was introduced in 1935 by Arthur Lindo Patterson (1902–1966) while he was a visiting researcher in the laboratory of Bertram Eugene Warren (1902–1991) at MIT.〔A. L. Patterson ''Z. Krist''. A90, 517 (1935).〕 The Patterson function is defined as :$P(u,v,w)\; =\; \backslash sum\backslash limits\_\; \backslash left|F\_\backslash right|^2\; \backslash ;e^.$ It is essentially the Fourier transform of the intensities rather than the structure factors. The Patterson function is also equivalent to the electron density convolved with its inverse: :$P(\backslash vec)\; =\; \backslash rho(\backslash vec)$ * \rho(-\vec). Furthermore, a Patterson map of ''N'' points will have ''N(N−1)'' peaks, excluding the central peak and any overlap. The peaks in the Patterson function are the interatomic distance vectors weighted by the product of the number of electrons in the atoms concerned. Because for each vector between atoms i and j there is an oppositely oriented vector of the same length (between atoms j and i), the Patterson function always has centrosymmetry. ==One-dimensional example== Consider the series of delta functions given by :$f(x)\; =\; \backslash delta(x)\; +\; 3\; \backslash delta(x-2)\; +\; \backslash delta(x-5)\; +\; 3\; \backslash delta(x-8)\; +\; 5\; \backslash delta(x-10).\; \backslash ,$ Then the Patterson function is :$P(u)\; =\; 5\; \backslash delta(u+10)\; +\; 18\; \backslash delta(u+8)\; +\; 9\; \backslash delta(u+6)\; +\; 6\; \backslash delta(u+5)\; +\; 6\; \backslash delta(u+3)\; +\; 18\; \backslash delta(u+2)\; +\; 45\; \backslash delta(u)\; \backslash ,$ ::::$\{\}\; +\; 18\; \backslash delta(u-2)\; +\; 6\; \backslash delta(u-3)\; +\; 6\; \backslash delta(u-5)\; +\; 9\; \backslash delta(u-6)\; +\; 18\; \backslash delta(u-8)\; +\; 5\; \backslash delta(u-10).\; \backslash ,$ 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「Patterson function」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.