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Handbook of Size Exclusion Chromatography and Related ...

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Figure 8 Effect <strong>of</strong> b<strong>and</strong> broadening for a polymer with polydispersity 2 on the measured<br />

moments <strong>of</strong> the molecular weight distribution by viscometry <strong>and</strong> universal calibration,<br />

where D2 is the slope <strong>of</strong> log molecular weight <strong>and</strong> elution volume <strong>and</strong> sB is the peak<br />

variance caused by b<strong>and</strong> broadening. (From Ref. 37.)<br />

the effect <strong>of</strong> b<strong>and</strong> broadening means that the molecular weight pr<strong>of</strong>ile no longer has<br />

a one-to-one correspondence to the intrinsic viscosity elution pr<strong>of</strong>ile, from which<br />

the universal calibration curve is determined. The corrected intrinsic viscosity,<br />

without b<strong>and</strong> broadening, can be calculated using the method <strong>of</strong> Hamielec (43):<br />

[h](V) ¼<br />

F(V )<br />

F(V E2s2 2<br />

e1=2(E2s) [h](V) exp<br />

)<br />

(25)<br />

where [h](V) is the corrected intrinsic viscosity at each elution volume V <strong>and</strong><br />

[h](V) exp is the experimentally determined intrinsic viscosity at each elution<br />

volume, F is the concentration chromatogram, s is the Gaussian b<strong>and</strong>-broadening<br />

parameter, <strong>and</strong> E2 is the slope <strong>of</strong> the intrinsic viscosity calibration curve<br />

[h](V) ¼ E1e E2V<br />

(26)<br />

From this, the true molecular weight calibration curve can be determined <strong>and</strong> can<br />

then be used to calculate the correct MWD.<br />

© 2004 by Marcel Dekker, Inc.

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