Kuhn-Mark-Houwink-Sakurada equation

Note 2 Kuhn and Sakurada have also made important contributions and their names are sometimes included, as, for example, in the Kuhn-Mark-Houwink-Sakurada equation. 

Equation (9-151) is known as the modified Staudinger equation (originally with Or, = 1) or as the Kuhn-Mark-Houwink-Sakurada equation. It was originally found empirically. K and Qrj are empirical constants obtained by calibration (see also Sections 9.9.7 and 9.9.8 and Figure 9-26). In certain special cases, Qr, can also be theoretically calculated (see Table 9-7). 

Mark-Houwink equation n. Also referred to as Kuhn-Mark-Houwink-Sakurada equation allows prediction of the viscosity average molecular weight M for a specific polymer in a dilute solution of solvent by [77] = KM, where K is a constant for the respective material and a is a branching coefficient K and a (sometimes a ) can be determined by a plot of log [77] versus logM" and the slope is a and intercept on the Y-axis is K. Kamide K, Dobashi T (2000) Physical chemistry of polymer solutions. Elsevier, New York. Mark JE (ed) (1996) Physical properties of polymers handbook. Springer-Verlag, New York. Ehas HG (1977) Macromolecules, vols 1-2. Plenum Press, New York. 

Kuhn-Mark-Houwink-Sakurada equation Dimension factor of steric hindrance Length, capillary length Persistence length Low-density poly(ethylene)... 

Kuhn-Mark-Houwink-Sakurada (KMHS) Equation.163... 

The thermodynamic quality of a solvent for a polymer can be also estimated from Kuhn-Mark-Houwink-Sakurada viscosity law (often called Mark-Houwink equation) ... 

The exponential factors of Kuhn-Mark-Houwink-Sakurada(KMHS) equation for kraft lignin (KL) are 0.11, 0.13, and 0.23 in dimethylformamide (DMF) at 45.2°C, in DMF at 77.7°C, and in 0.5N sodium hydroxide at 30.2°C, respectively [16]. The fact that KMHS exponential factors of KL in DMF are small indicates that the molecular mass of lignin scarcely affects the reduced viscosity. This suggests that the lignin molecules in DMF have a compact spherical structure and approach the limit of an Einstein sphere, a constant-density sphere. The above results had also been reported by the research group of Goring [4]. 

P19.7 The empirical Mark-Kuhn-Houwink-Sakurada equation [19.25] is [ij] = KM . ... 

PI 9.35 The procedure is that described in Problem 19.7. The data are fitted to the Mark-Kuhn-Houwink-Sakurada equation. 

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