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Handbook of Size Exclusion Chromatography and Related ...

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Figure 7 Effect<strong>of</strong>b<strong>and</strong>broadeningforapolymerwithpolydispersity2onthemeasured<br />

moments <strong>of</strong> the molecular weight distribution by light scattering, where D2 is the slope <strong>of</strong><br />

log molecular weight <strong>and</strong> elution volume <strong>and</strong> sB is the peak variance caused by b<strong>and</strong><br />

broadening. (From Ref. 37.)<br />

Themeasuredpolydispersitycanbecorrectedforb<strong>and</strong>broadeningusingthe<br />

method <strong>of</strong> He et al. (38). For columns with alinear calibration curve in logMW<br />

with slope D2, the true polydispersity is given by<br />

where D0 2<br />

detector <strong>and</strong> s2 T<br />

M w<br />

¼e<br />

M n TRUE<br />

D2D0 2 (1 D0 2 =D2)s2 T<br />

M w<br />

M n SEC-LALLS<br />

isthe experimental calibration curve measured by the light-scattering<br />

isthe variance <strong>of</strong> the experimental concentration chromatogram.<br />

Amore general form <strong>of</strong> the correction, which does not assume aGaussian peak<br />

shape, has been developed by Lederer et al. (39) <strong>and</strong> Billiani <strong>and</strong> co-workers<br />

(40–42). The same correction also applies to the intrinsic viscosity distribution,<br />

the width <strong>of</strong> which is also underestimated.<br />

In SEC-viscometry with universal calibration, as in conventional SEC, the<br />

effect <strong>of</strong> b<strong>and</strong> broadening is an apparent increase in polydispersity as the peak<br />

broadens (Fig. 8). Although the true intrinsic viscosity is measured at each slice,<br />

© 2004 by Marcel Dekker, Inc.<br />

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