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Handbook of Size Exclusion Chromatography and Related ...

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sensitivity for many samples compared with viscometry, this approach is<br />

rarely used.<br />

3.2.6 Right-Angle Laser Light Scattering<br />

Haney et al. (11) used a right-angle light-scattering (LS) detector combined with<br />

SEC-viscometry to measure directly both the intrinsic viscosity <strong>and</strong> molecular<br />

weight <strong>of</strong> each elution slice. For molecules with molecular weights less than about<br />

100,000 g/mol, there is no measurable scattering asymmetry <strong>and</strong> the right-angle<br />

intensity provides a good measurement <strong>of</strong> the molecular weight. For higher<br />

molecular weights, the Flory–Fox equation [Eq. (16)] is used in an iterative<br />

procedure to correct for any asymmetry in the scattering <strong>and</strong> thus determine a<br />

good approximation to the correct molecular weight. Thus, with this approach,<br />

both molecular weight <strong>and</strong> the radius <strong>of</strong> gyration [Eq. (16)] can be determined.<br />

The method gave accurate molecular weights for polystyrene in THF up to<br />

3 10 6 g/mol.<br />

3.3 Concentration Measurement<br />

One <strong>of</strong> the advantages <strong>of</strong> conventional SEC is that the absolute concentration <strong>of</strong><br />

the sample at each elution slice is not required to calculate the MWD. With both<br />

SEC-LS <strong>and</strong> SEC-viscometry it becomes necessary to determine an absolute<br />

concentration measurement if the MWD is to be determined.<br />

There are two approaches to determining the concentration: one is to use the<br />

injected sample mass, <strong>and</strong> the other is to calibrate the concentration detector. In<br />

the following discussion it is assumed that a refractometer is being used to<br />

determine concentration, but the same applies to ultraviolet (UV) detectors, except<br />

that the UV absorbance <strong>of</strong> a sample replaces the dn=dc value.<br />

In the first method, the area under the concentration detector chromatogram<br />

is taken to be proportional to the total sample mass injected m:<br />

m<br />

k ¼<br />

DV P hi<br />

(22)<br />

<strong>and</strong> thus the concentration at each elution slice ci may be calculated from the<br />

detector output at each slice hi by ci ¼ khi.<br />

The advantages <strong>of</strong> this method are that it is straightforward <strong>and</strong> is not<br />

affected by different dn=dc values for different samples. The disadvantage is that<br />

the injected amount <strong>of</strong> sample must be known accurately. This implies that the<br />

injection volume is known accurately.<br />

In the second method, the concentration detector is calibrated with a series <strong>of</strong><br />

solutions <strong>of</strong> different concentrations <strong>and</strong> known refractive indices. This provides a<br />

© 2004 by Marcel Dekker, Inc.

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