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Handbook of Size Exclusion Chromatography and Related ...

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Figure 3 A light-scattering photometer. Polymer solution in cell is irradiated with an<br />

incident beam, <strong>and</strong> scattered light intensity is measured at angle u.<br />

utilizes a single angle measurement at ,108 (10) or 908 (11), two angles (12), or<br />

multiangles (13,14).<br />

The weight-average molecular weight, the radius <strong>of</strong> gyration, <strong>and</strong> the second<br />

virial coefficient can be determined by measuring the scattered intensity as a<br />

function <strong>of</strong> angle for a series <strong>of</strong> different dilute concentrations. These parameters<br />

are determined from a Zimm plot <strong>of</strong> K*c=R(u) against sin 2 (u=2) þ kc for these<br />

data (Fig. 4), where k is an arbitrary constant used to spread out the data. Avalue <strong>of</strong><br />

k ¼ 1=cmax, where cmax is the maximum concentration used, has been found to<br />

work well (2). The data are extrapolated to zero angle <strong>and</strong> zero concentration, <strong>and</strong><br />

Figure 4 Zimm plot, which is a double-extrapolation procedure used in light-scattering<br />

measurements for determining the second virial coefficient A2, mean square radius <strong>of</strong><br />

gyration kR2 gl <strong>and</strong> weight-average molecular weight Mw.<br />

© 2004 by Marcel Dekker, Inc.

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