28.02.2013 Views

Handbook of Size Exclusion Chromatography and Related ...

Handbook of Size Exclusion Chromatography and Related ...

Handbook of Size Exclusion Chromatography and Related ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

where ais the separation factor, Nis the number <strong>of</strong> theoretical plates, <strong>and</strong> k 0 is<br />

the capacity factor. In SEC, k 0 equals 1. Therefore, the calculation <strong>of</strong> resolution<br />

can be simplified to:<br />

1<br />

RS ¼= 8(a 1)N 1=2<br />

In order to improve resolution in SEC, a<strong>and</strong> Nshould be maximized. As<br />

in HPLC, Ncan be increased by increasing the column length or by reducing<br />

the particle size <strong>of</strong> the gels. Toincrease the total column length, one can simply<br />

run several low MW columns in series. Regarding particle size, 5mm SEC gels<br />

for low MW are currently very popular. Several SEC column manufacturers<br />

also provide columns with 3mm gels. However, either method will induce<br />

higher backpressure. Unfortunately, the small-pore gels are more fragile than<br />

the SEC gels with larger pore sizes as mentioned previously. The pressure<br />

fluctuation during sample injection, when the zero-pressure sample loop is<br />

connected to the high-pressure flow line, will reduce the lifetime <strong>of</strong> the smallpore<br />

gels. Placing a small guard column, which serves as a pulse damper,<br />

before the analytical low MW columns will greatly reduce the pressure<br />

fluctuation on the analytical column. Because <strong>of</strong> the low viscosity nature, the<br />

concentration effect in SEC <strong>of</strong> high MW polymer samples is usually not taken<br />

into account in the case <strong>of</strong> low MW material (4). Therefore, in order to reduce<br />

the pressure fluctuation <strong>and</strong> to extend the lifetime <strong>of</strong> acolumn, injection <strong>of</strong> a<br />

small sample volume with ahigh concentration is also preferred.<br />

The ain SEC depends mainly on the slope <strong>of</strong> the calibration curve: the<br />

flatter the slope the better resolution, as shown in Fig. 1. There are at least two<br />

ways to reduce the slope <strong>of</strong> the calibration curve <strong>and</strong> to maximize a: first,<br />

increasing Dtr by increasing the total pore volume <strong>of</strong> the gels, <strong>and</strong> secondly,<br />

minimizing the MW separation range (DlogMW) by selecting columns with<br />

minimum but adequate MW range.<br />

In order to increase the total pore volume, one may simply connect more<br />

columns<strong>of</strong>thesameporesizeinanSEC(columnsetBinFig.1).Inthiscase,the<br />

number<strong>of</strong>theoretical plateswillalsobeapproximatelydoubled.Theotherwayto<br />

increase the pore volume is to increase the pore-to-solid-body ratio, because the<br />

interstitial volume <strong>of</strong> an SEC column is inherently fixed at approximately 40% <strong>of</strong><br />

the total columnvolume. The OligoPore column, recently introduced by Polymer<br />

Laboratories, is designed based onthis principle (5). The calibration curvefor the<br />

OligoPore column compared to that <strong>of</strong> aregular low MW column is shown in<br />

Fig. 2.However,larger totalporevolumewith thesame pore size means athinner<br />

solid wall, <strong>and</strong> thus more fragile particles. This type <strong>of</strong> column should be used<br />

with care. Yet another means to increase the total pore volume is to use a larger<br />

internal diameter column. This also has the advantage <strong>of</strong> reducing backpressure.<br />

© 2004 by Marcel Dekker, Inc.<br />

(2)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!