Determination of Mark–Houwink–Sakurada Constants for Measurements of the Molecular Weights by Gel Permeation Chromatography I. On the Generalization of Mathematical Procedure

Abstract

Fourteen equations in terms of molecular weights and intrinsic viscosity are shown to determine Mark–Houwink–Sakurada (MHS) constants on the basis of gel permeation chromatography (GPC), six equations being for determination from one sample, four from two samples, and four by the method of least squares. These equations are examined, using the data obtained for poly(methyl methacrylate). It is pointed out that the determination of MHS constants from one sample is very sensitive to the measured condition of GPC, and thus we should get good GPC data. Using two samples, the reasonable MHS constants are obtained when the weight-and viscosity-average molecular weights are known. Using more than two samples, the MHS constants are determined by the method of least squares. It is shown that the MHS equation obtained previously under a given condition is transferred to a MHS equation under another condition by GPC where the viscosity-average molecular weights calculated by the former equation are used. Further, using the GPC data obtained under good conditions, good MHS constants can be determined when the number-and weight-average molecular weights are known.