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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 Solomon equations ： ウィキペディア英語版 Solomon equations In NMR spectroscopy, the Solomon equations describe the dipolar relaxation process of a system consisting of two spins. They take the form of the following differential equations: $=-R\_z^1(I\_-I\_^0)-\backslash sigma\_(I\_-I\_^0)$ $=-R\_z^2(I\_-I\_^0)-\backslash sigma\_(I\_-I\_^0)$ $\}\; \backslash over\; dt\}=-R\_z^2I\_I\_$ These describe how the population of the different spin states changes in relation to the strength of the self-relaxation rate constant ''R'' and $\backslash sigma\_$, which accounts instead for cross-relaxation. The latter is the important term which is responsible for transferring magnetization from one spin to the other and gives rise to the nuclear Overhauser effect. In an NOE experiment, the magnetization on one of the spins, say spin 2, is reversed by applying a selective pulse sequence. At short times then, the resulting magnetization on spin 1 will be given by $=-R\_z^1(I\_^0-I\_^0)-\backslash sigma\_(-I\_^0-I\_^0)=2\backslash sigma\_I\_^0$ since there is no time for a significant change in the populations of the energy levels. integrating with respect to time gives: $I\_(t)=2\backslash sigma\_tI\_^0+I\_^0$ which results in an enhancement of the signal of spin 1 on the spectrum. Typically, another spectrum is recorded without applying the reversal of magnetization on spin 2 and the signals from the two experiments are then subtracted. In the final spectrum, only peaks which have an nOe enhancement show up, demonstrating which spins are in spatial proximity in the molecule under study: only those will in fact have a significant $\backslash sigma\_$ cross relaxation factor. == 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「Solomon equations」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.