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Handbook of Size Exclusion Chromatography and Related ...

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polydispersity <strong>of</strong> asample comprised as 50% by weight <strong>of</strong> two monodisperse<br />

polymers, one <strong>of</strong> molar mass M<strong>and</strong> the other <strong>of</strong> molar mass 2M. The result is<br />

simply P¼1:125, which is generally believed to be a“small” polydispersity<br />

despite the 100% range <strong>of</strong> molecules present. Results <strong>of</strong> polydispersity<br />

calculations performed by MALS have been criticized repeatedly in the literature<br />

as being too small as the sensitivity <strong>of</strong> MALS measurements decreases with<br />

decreasing molar mass. Certainly Mw is best measured by MALS <strong>and</strong> Mn<br />

by membrane osmometry,yet this idea has been debunked recently by Podzimek<br />

(29)whomademeticulousMALSmeasurementsaswellasmembraneosmometry<br />

determinations for several polymers. His conclusion was that MALS yields<br />

the most plausible values <strong>of</strong> polydispersity despite its decreasing sensitivity<br />

with decreasing molar mass. A powerful example <strong>of</strong> a truly (confirmed by<br />

MALS) monodisperse samplewas analysedbyShortt (27). Hisstudy showedthat<br />

certain polystyrene st<strong>and</strong>ards are actually far narrower than their manufacturers<br />

believe.<br />

10 THE PERFECT COMPANION FOR SEPARATION<br />

SCIENCES: MALS<br />

Therearevirtuallynoliquid chromatographytechniquesfor which theaddition <strong>of</strong><br />

sequential classical light scattering measurements through MALS cannot benefit<br />

inordinately.Not only are all results previously based on calibration methods <strong>and</strong><br />

related empirical methods rendered absolute, but information regarding the<br />

separation processes themselves is <strong>of</strong>ten revealed. An extensive bibliography <strong>of</strong><br />

well over 1,500 peer-reviewed papers describing the ever-increasing range <strong>of</strong><br />

results <strong>and</strong> applications may be found at www.wyatt.com.<br />

Poorchromatography(thatis,apossiblewrongchoice<strong>of</strong>columnsormobile<br />

phase, or both) is <strong>of</strong>ten seen immediately by examining the MALS output. Thus<br />

Fig. 16, for example, shows the MALS r.m.s. radius vs. SEC elutionvolumefor a<br />

high molar masspolysaccharide. Notethat theelution isnotcharacteristic <strong>of</strong>SEC<br />

wherewe expect radius to decreasewith elutionvolume. The separation indicates<br />

that the method was flawed because <strong>of</strong> poor chromatography.<br />

The presence <strong>of</strong> long-chain branching is detected quite easily through<br />

MALSwhenaso-calledconformationplot(14)ismadefollowingsampleelution.<br />

Figure 17 shows such aplot (25) <strong>of</strong> the log(r.m.s. radius) vs. log(mass) for linear<br />

<strong>and</strong> r<strong>and</strong>omly branched polystyrene. The linear molecules exhibit a slope<br />

consistent with a r<strong>and</strong>om coil (0.5–0.6) whereas the branched molecules produce<br />

a conformation whose compactness increases with molar mass (slope decreasing<br />

from that <strong>of</strong> the linear polymer).<br />

Many powerful examples <strong>of</strong> MALS may be seen in reversed phase<br />

chromatography where the elution depends on the molecular/column affinity<br />

© 2004 by Marcel Dekker, Inc.

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