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Handbook of Size Exclusion Chromatography and Related ...

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volume (or the elution time) scale <strong>of</strong> the chromatogram has to be transferred to a<br />

logarithmic M scale. For this purpose, three methods for evaluation have been used<br />

for dissolved cellulose or cellulose derivatives: (a) the direct st<strong>and</strong>ard calibration<br />

method, (b) the universal calibration method by using differential viscometry (DV)<br />

detector, or (c) by using a light scattering (LS) detector. These methods are<br />

described in detail elsewhere in this volume. The detectors used for SEC<br />

<strong>of</strong> different cellulose samples are exemplified in the previous sections. Multiple<br />

detectors (LS/DV/DRI) have been used for characterization <strong>of</strong> cellulose ethers,<br />

that is, by aqueous SEC (223).<br />

The direct st<strong>and</strong>ard method requires the use <strong>of</strong> a set <strong>of</strong> monodisperse,<br />

(narrow) st<strong>and</strong>ards <strong>of</strong> known M, or polydisperse (broad) st<strong>and</strong>ards with known M n,<br />

<strong>and</strong> either Mw or Mv. In either case the st<strong>and</strong>ards should preferably cover the entire<br />

elution range <strong>of</strong> the sample in h<strong>and</strong>. Unfortunately, there are no commercially<br />

available cellulose st<strong>and</strong>ards. During the last decade, monodisperse pullulan<br />

st<strong>and</strong>ards have frequently been used to obtain the MMD <strong>of</strong> cellulosic samples.<br />

Pullulan consists <strong>of</strong> polymaltotriose units linked together by a-(1!6) linkages.<br />

Because <strong>of</strong> its linearity <strong>and</strong> similar Mark–Houwink constants (192) it is<br />

commonly assumed to have about the same relation between molecular mass <strong>and</strong><br />

hydrodynamic volume as cellulose. However, this is not true for all cellulose<br />

samples. The pullulan equivalent molar mass averages for cellulose ethers have<br />

been reported to overestimate the values determined by light scattering by a factor<br />

<strong>of</strong> 3.2 (224). Recently, an overestimation <strong>of</strong> the pullulan equivalent molar mass <strong>of</strong><br />

cellulose in birch kraft pulp has been reported by using a multi-angle laser light<br />

scattering (MALLS) detector together with the DRI (225). Two ways <strong>of</strong> correlating<br />

the pullulan equivalent M to the absolute M as determined by MALLS were<br />

presented. One <strong>of</strong> the methods can be used to obtain reliable average molecular<br />

masses <strong>of</strong> the cellulose <strong>and</strong> the other method to obtain the MMD <strong>of</strong> the cellulose.<br />

A drawback with commercial pullulan st<strong>and</strong>ards is that the highest available<br />

st<strong>and</strong>ard has an M <strong>of</strong> around 1.6 10 6 . For cellulosic samples having an M above<br />

this value, for example, the cellulose fraction <strong>of</strong> wood pulp samples, extrapolation<br />

<strong>of</strong> the calibration curve becomes necessary. Another obvious drawback in using<br />

pullulan for the evaluation <strong>of</strong> wood pulps is that these samples also contain other<br />

polymers than cellulose, such as hemicellulose <strong>and</strong> lignin. There are also reports <strong>of</strong><br />

aggregation <strong>of</strong> pullulan dissolved in LiCl/DMAc (194). In spite <strong>of</strong> having a<br />

completely different structure, polystyrene st<strong>and</strong>ards have also been used to obtain<br />

an M value <strong>of</strong> cellulose samples (for example, 196). The advantage is that narrow<br />

polystyrene st<strong>and</strong>ards are available in a broader M range than the pullulan<br />

st<strong>and</strong>ards. Examples <strong>of</strong> other st<strong>and</strong>ards used for calibration are dextrans for<br />

evaluation <strong>of</strong> CMC (154), <strong>and</strong> polyethylene oxide/glycols for cellulose acetates<br />

(105). Thus, the reported molecular mass obtained from SEC in these cases is<br />

relative to the molecular mass <strong>of</strong> the used st<strong>and</strong>ards having the same hydrodynamic<br />

volume, that is, elution volume, as the sample, in the used solvent system. This is<br />

© 2004 by Marcel Dekker, Inc.

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