Evaluating dispersion in gel permeation chromatography.  Axial dispersion of polymer molecules in packed beds of nonporous glass beads

Kelley, R. N.; Billmeyer, Fred W.

doi:10.1021/ac60276a006

Cited by 43 publications

(15 citation statements)

References 30 publications

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“…The same relationship holds for the median, mode, or any other percentile pore. A plot of log (Ro.5 + r) versus log T for data of Fawcett reveals a slope of -0.5 for gels with low percentage of cross-linking (C = 1, 2, 5),27 confirming equation (11); for highly cross-linked gels (C = 15, 25), the data suggest a slope of -0.3, consistent with equation (12). 3.…”

supporting

confidence: 63%

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Unified Theory for Gel Electrophoresis and Gel Filtration

Rodbard

Chrambach

1970

Proc. Natl. Acad. Sci. U.S.A.

436

245

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Abstract. Unified theory for gel electrophoresis and gel filtration: The behavior of macromolecules in gel filtration and gel electrophoresis may be predicted from Ogston's model for a random meshwork of fibers. This model has been generalized to apply to nonspherical molecules and to several gel types. The model provides equations for inter-relationships between mobility, partition coefficient, gel concentration, and molecular radius; it gives a non-Gaussian distribution of pore sizes as a function of gel concentration. The theory defines conditions for optimal separation and optimal resolution in gel filtration and gel electrophoresis. The difference in resolving power between the two fractionation methods is accounted for by the fact that gel filtration is a form of partition chromatography.Several models have been proposed for the mechanism of gel electrophoresis and gel filtration using diverse and mostly improbable assumptions regarding pore geometry.'-'0 The Ogston model makes only minimal assumptions regarding pore architecture, and is realistic in terms of known polymer structures such as polyacrylamide, cross-linked dextran, starch, agarose, or hyaluronic acid." 2 Ogston derived the distribution of spaces (fractional volume, f) available to a spherical molecule in a random suspension of linear fibers' or beads." 2 This model has been applied to gel filtration by making the assumption that the coefficient Ka. is equal tof;2 11where Ve is elution volume, Vo is void volume, and VT is total volume. Morris applied the Ogston model to gel electrophoresis"2 by proposing that the electrophoretic mobility (M) relative to free mobility (Mo) is equal tof:Morris noted that this provides a unified theoretical basis for gel electrophoresis and gel filtration, and suggested a linear relationship of the form:

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supporting

confidence: 63%

“…When A = B, equations (25) and (23) (26) where ;z is the mobility when MA = MB = , at the point of intersection of the M versus T curves, T., = In (A/B)/(a -,p). This is a limiting case.…”

mentioning

confidence: 99%

Unified Theory for Gel Electrophoresis and Gel Filtration

Rodbard

Chrambach

1970

Proc. Natl. Acad. Sci. U.S.A.

436

245

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show abstract

“…A simplified explanation of these concepts is illustrated in broader band. While Figure 3.7 shows how the diffusioncoupling effect of the microscopic flow irregularities can reduce band broadening, an analogous coupling situation can exist for band broadening due to nonuniform velocity profile over the column cross section [4,11]. The motions of these encircled molecules are the focus of this discussion.…”

Section: Flow-diffusion Couplingmentioning

confidence: 99%

Band Broadening

2009

Modern Size‐Exclusion Liquid Chromatography

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“…(15), since in the latter the term of molecular diffusion is eliminated. Billmeyer et al [9][10][11] also proposed a similar form for Eq. (15), though the velocityprofile effect was also taken into consideration.…”

Section: Column Efficiencymentioning

confidence: 99%

“…(7), the terms of k f and DB do not appear. (11) where ¢ is a tortuosity factor, Dm(cm 2 /sec) the molecular diffusion coefficient, A an eddy diffusion factor, dp(cm) the effective particle diameter, k a velocity-profile constant and Dr(cm 2 1 sec) a radial diffusion coefficient. They assumed that Dr was expressed by the sum ¢Dm+AUdp.…”

Section: Moment Analysismentioning

confidence: 99%