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Handbook of Size Exclusion Chromatography and Related ...

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calibration constant for the detector k 0 that converts the signal into a change in<br />

refractive index, such that for each chromatogram slice,<br />

ci ¼ k0<br />

dn=dc hi<br />

(23)<br />

This avoids the problems with the peak mass not corresponding to the injected<br />

mass <strong>and</strong> thus increases the measurement precision, but it means that dn=dc for the<br />

sample must be known. Because dn=dc must be known for the light-scattering<br />

calculation, this clearly does not require any additional work for SEC-light<br />

scattering. Furthermore, once the concentration detector is calibrated, dn=dc for<br />

unknown polymers can be determined using Eq. (23) if the injected mass is<br />

known. With this approach it is best to use a monochromatic light source for the<br />

refractometer having the same wavelength as the light source used for the lightscattering<br />

experiment.<br />

3.4 Interdetector Delay Volume<br />

When a molecular weight sensitive detector is added as a second detector to an<br />

SEC system, it is essential that the dead volume in the connecting tubing between<br />

the measurement points <strong>of</strong> the two detector cells be known precisely. If this is not<br />

done, the calculated values contain significant errors. In particular, the measured<br />

polydispersity <strong>and</strong> Mark–Houwink coefficients are extremely sensitive to errors<br />

that may be incurred in the interdetector dead volume.<br />

A number <strong>of</strong> approaches can be used to determine the interdetector volume.<br />

The obvious procedure is to calculate the geometric <strong>of</strong>fset volume from the<br />

connection volume between detectors. As discussed by Bruessau (31) <strong>and</strong><br />

Lecacheux <strong>and</strong> Lesec (32), however, these calculated values are not correct<br />

because they do not take into account peak shape changes that can occur. The most<br />

commonly used approach for determining interdetector volume for either<br />

viscometers or light-scattering detectors is to measure peak maxima differences <strong>of</strong><br />

a narrow molecular weight distribution polymer st<strong>and</strong>ard or a monodisperse<br />

solute, such as a protein. In a viscometer, a solute, such as methanol, can be<br />

employed for aqueous SEC. Measurement <strong>of</strong> peak onset difference, as well as the<br />

peak maxima difference <strong>of</strong> an excluded polymer peak, has been reported (33).<br />

A different procedure was used by Lecacheux <strong>and</strong> Lesec (32) for<br />

determining interdetector volume for both a viscometer <strong>and</strong> a light-scattering<br />

detector. In this approach, an excluded monodisperse polymer st<strong>and</strong>ard is injected.<br />

When the correct interdetector volume is selected, the calculated intrinsic<br />

viscosity, or molecular weight, is equal to the expected value <strong>and</strong> remains constant<br />

as a function <strong>of</strong> elution volume.<br />

To determine the interdetector delay volume for a viscometer, a broad<br />

molecular weight distribution st<strong>and</strong>ard can be injected <strong>and</strong> a Mark–Houwink plot,<br />

© 2004 by Marcel Dekker, Inc.

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