Journal
MACROMOLECULAR CHEMISTRY AND PHYSICS
Volume 213, Issue 23, Pages 2464-2471Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/macp.201200372
Keywords
diffusion; inverse laplace transform; molecular weight distribution characteristics; stretched-exponential response function
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Funding
- Norwegian Research Council
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The molecular weight distribution characteristics derived from an inverse Laplace transformation (ILT) of a stretched exponential PGSTE NMR response function (SEF) is discussed with reference to the scaling law between diffusivity (D) and molecular mass (M) (D = KM-a). Two general equations are presented, enabling the polydispersity index (PDI) and the average molecular weights (Mw, Mn, and Mmed) to be determined from a and the two characteristic parameters beta and D0 of the (normalized) SEF (= exp [(-D0t)beta]). A detailed discussion regarding the derivation of the two equations is presented.
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