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Handbook of Size Exclusion Chromatography and Related ...

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The detector time constant can distort column efficiency when the peak<br />

width (in time units) becomes <strong>of</strong> the same order <strong>of</strong> magnitude as the response time.<br />

High-efficiency columns produce very sharp peaks, <strong>and</strong> detectors with response<br />

times greater than 0.5 s can contribute significantly to b<strong>and</strong> broadening. Electronic<br />

filtering can increase response time <strong>and</strong> cause measurable broadening <strong>of</strong> sharp<br />

peaks. Refer to Ref. 108 for an exhaustive discussion <strong>of</strong> extracolumn effects in<br />

detector systems.<br />

Capillary tubing should be kept as narrow <strong>and</strong> short as possible, while<br />

remaining practical. The length <strong>of</strong> tubing for a maximum b<strong>and</strong> width increase <strong>of</strong><br />

5% can be calculated from Eq. (24), taken from Ref. 45:<br />

L ¼ 40V 2 E Dm<br />

pFNd 4 ct<br />

(24)<br />

in which Dm is the solute diffusion coefficient in cm 2 /s, F is the flow rate in mL/s,<br />

dct is the ID <strong>of</strong> the capillary in cm, N is the plate number, <strong>and</strong> the retention volume<br />

(VE) was earlier given by Eq. (19). Equation (24) can also be used to calculate the<br />

dimensions <strong>of</strong> a detector cell for the ideal situation in which no mixing occurs in<br />

the cell, that is, the plug flow model. Bending, coiling, or deforming the tubing<br />

permits longer lengths with the same degree <strong>of</strong> b<strong>and</strong> broadening as shorter lengths<br />

<strong>of</strong> straight tubing (111).<br />

5.2 Sample<br />

As discussed, there is a limit to how much can be injected into an HPLC column in<br />

terms <strong>of</strong> sample mass <strong>and</strong> volume at which the resolution deteriorates beyond<br />

acceptable levels. SEC has the lowest loading capacity (g sample/g packing<br />

material) for high-performance HPLC techniques because the separation is<br />

performed under isocratic mobile-phase conditions <strong>and</strong> because the separation<br />

takes place within the interstitial pore volume, that is, in the absence <strong>of</strong> a stationary<br />

phase. In general, samples are injected as a large volume <strong>of</strong> a dilute solution. As<br />

the increasing concentration overloads the inlet, asymmetrical <strong>and</strong> broad peaks are<br />

seen <strong>and</strong> resolution decreases. Gooding et al. (112) derived Eq. (25) to calculate<br />

the theoretical protein load in milligrams for a 25 cm long column:<br />

C ’ r2<br />

(25)<br />

4:4<br />

where C is the loading capacity <strong>and</strong> r is the column radius in mm. Thus, for a<br />

column ID <strong>of</strong> 7.5 mm, the protein loading capacity is v3.2 mg/injection.<br />

Kirkl<strong>and</strong> <strong>and</strong> Antle (113) determined that 0.1 mg <strong>of</strong> a 4800 dalton polystyrene<br />

polymer could be injected per gram packing material in GPC on 47 A˚ silanized<br />

silica. Roumeliotis <strong>and</strong> Unger (99) found that 0.1 mg protein can be loaded per<br />

gram LiChrosorb Diol material. They demonstrated that load is proportional to<br />

© 2004 by Marcel Dekker, Inc.

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