The Scaling Law between Molecular Mass and Diffusivity and its Influence on the Molecular Weight Distribution as Derived from a Stretched Exponential PGSTE NMR Response Curve | Zendy

Gong Xiaoliang | Zendy; Hansen E. W. | Zendy; Chen Qun | Zendy

Premium

The Scaling Law between Molecular Mass and Diffusivity and its Influence on the Molecular Weight Distribution as Derived from a Stretched Exponential PGSTE NMR Response Curve

Author(s) -

Gong Xiaoliang,

Hansen E. W.,

Chen Qun

Publication year - 2012

Publication title -

macromolecular chemistry and physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.57

H-Index - 112

eISSN - 1521-3935

pISSN - 1022-1352

DOI - 10.1002/macp.201200372

Subject(s) - dispersity , exponential function , molar mass distribution , scaling , thermal diffusivity , molecular mass , laplace transform , chemistry , inverse , distribution (mathematics) , thermodynamics , physics , polymer chemistry , mathematical analysis , polymer , mathematics , geometry , organic chemistry , enzyme

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 −α ). Two general equations are presented, enabling the polydispersity index (PDI) and the average molecular weights ( M w , M n , and M med ) to be determined from α and the two characteristic parameters β and D 0 of the (normalized) SEF (= exp [(− D 0 t ) β ]). A detailed discussion regarding the derivation of the two equations is presented.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research