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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 Mark-Houwink equation ： ウィキペディア英語版 Mark–Houwink equation The Mark–Houwink equation, also known as the Mark–Houwink–Sakurada equation or the Kuhn–Mark–Houwink–Sakurada equation gives a relation between intrinsic viscosity $()$ and molecular weight $M$:〔Paul, Hiemenz C., and Lodge P. Timothy. ''Polymer Chemistry''. Second ed. Boca Raton: CRC P, 2007. 336, 338–339.〕 :$()=KM^a$ From this equation the molecular weight of a polymer can be determined from data on the intrinsic viscosity and vice versa. The values of the Mark–Houwink parameters, $a$ and $K$, depend on the particular polymer-solvent system. For solvents, a value of $a=0.5$ is indicative of a theta solvent. A value of $a=0.8$ is typical for good solvents. For most flexible polymers, $0.5\backslash leq\; a\backslash leq\; 0.8$. For semi-flexible polymers, $a\backslash ge\; 0.8$. For polymers with an absolute rigid rod, such as Tobacco mosaic virus, $a=2.0$. ==Applications== In size-exclusion chromatography, such as gel permeation chromatography, the intrinsic viscosity of a polymer is directly related to the elution volume of the polymer. Therefore, by running several monodisperse samples of polymer in a gel permeation chromatograph (GPC), the values of $K$ and $a$ can be determined graphically using a line of best fit. Then the molecular weight and intrinsic viscosity relationship is defined. Also, the molecular weights of two different polymers in a particular solvent can be related using the Mark–Houwink equation when the polymer-solvent systems have the same intrinsic viscosity: :$K\_1M\_1^=K\_2M\_2^$ Knowing the Mark–Houwink parameters and the molecular weight of one of the polymers allows one to find the molecular weight of the other polymer using a GPC. The GPC sorts the polymer chains by volume and as intrinsic viscosity is related to the volume of the polymer chain, the GPC data is the same for the two different polymers. For example, if the GPC calibration curve is known for polystyrene in toluene, polyethylene in toluene can be run in a GPC and the molecular weight of polyethylene can be found according to the polystyrene calibration curve via the above equation.〔("Gel Permeation Chromatography" ) California Polytechnic State University. 11 Dec. 2007〕 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「Mark–Houwink 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.