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Handbook of Size Exclusion Chromatography and Related ...

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Figure 2 SEC chromatogram <strong>of</strong> amixture <strong>of</strong> three polystyrene st<strong>and</strong>ards showing the<br />

outputs <strong>of</strong> both a differential refractometer (top) <strong>and</strong> a viscometer (bottom).<br />

where n0 ¼refractive index <strong>of</strong> the solvent, dn=dc ¼specific refractive index<br />

increment <strong>of</strong> the solution, l0 ¼wavelength <strong>of</strong> the incident light in avacuum,<br />

NA ¼Avogadro’snumber.<br />

The particle-scattering function describes the angular variation <strong>of</strong> the<br />

scattered light intensity <strong>and</strong> depends upon the polymer size <strong>and</strong> shape. At low<br />

scattering angles it can be approximated by<br />

2<br />

1 4p 2 u<br />

¼1þ sin<br />

P(u) l 2<br />

kRg 2 l z<br />

3<br />

where lis the wavelength <strong>of</strong> the incident light in the solution <strong>and</strong> kRg 2 l zis the<br />

mean-square radius <strong>of</strong> gyration <strong>of</strong> the molecules in solution.<br />

Figure 3shows asimplified schematic <strong>of</strong> alight-scattering photometer. In a<br />

typical instrument, alaser light source, vertically polarized, irradiates asample<br />

solution. The intensity <strong>of</strong> the scattered light is measured at agiven angle with<br />

respect to the forward direction. Instrumentation is available (see appendix) that<br />

© 2004 by Marcel Dekker, Inc.<br />

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