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W. Richard Bowen and Nidal Hilal 4

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114 4. INvEsTIgATINg MEMbRANEs ANd MEMbRANE PROCEssEs<br />

membrane. Care is required in the use of MWCO as rejection can depend<br />

on other factors such as charge <strong>and</strong> molecular shape, but it remains an<br />

extensively used parameter. It is possible to estimate the mean pore diameter<br />

of membranes from rejection data such as MWCO through the use<br />

of an appropriate mathematical expression. As MWCO is a historically<br />

important measure <strong>and</strong> AFM a relatively new technique, it is pertinent to<br />

investigate the correspondence between the data respectively obtained.<br />

Such an investigation has been carried out for a series of membranes<br />

with MWCO in the range 1000–10 000 (Desal-G, Osmonics) [5]. Images<br />

of membranes obtained in air at the extremes of this range, GE (1000)<br />

<strong>and</strong> GN (10 000), are shown in Figure 4.8. The higher MWCO membrane<br />

is noticeably rougher. Indeed, there is a significant increase in surface<br />

roughness throughout the range, as shown by the data in Table 4.1.<br />

From such images, it is possible to determine the surface pore diameter<br />

distributions of the membranes. Data is given in Table 4.2, together with<br />

the mean pore diameters from MWCO, using three differing mathematical<br />

Å<br />

268<br />

134<br />

0<br />

3<br />

2<br />

300<br />

µm<br />

Å<br />

3.00<br />

2.00<br />

1.00<br />

0.00<br />

1<br />

200<br />

Å<br />

GE membrane<br />

100<br />

0 0<br />

1<br />

µm<br />

2<br />

3<br />

3<br />

2<br />

µm<br />

1<br />

GN membrane<br />

0 0<br />

GE membrane GN membrane<br />

Å<br />

2.00<br />

0 0<br />

100<br />

Å<br />

200<br />

300<br />

300<br />

200<br />

100<br />

0 0<br />

FIgURE 4.8 AFM images of two Desal G membranes, GE (MWCO 1000) <strong>and</strong> GN<br />

(MWCO 10 000), at low resolution (above) <strong>and</strong> high resolution (below).<br />

1.00<br />

0.00<br />

Å<br />

1<br />

100<br />

µm<br />

2<br />

Å<br />

200<br />

3<br />

300

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