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Frans_M_Everaerts_Isotachophoresis_378342.pdf

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38 CONCEPT OF MOBILITY<br />

where flfo is a correction factor for non-spherical particles. For water (21 C), this means<br />

that<br />

mf= 1.14. 10-3~f/[TCflf~)] (3.43)<br />

From this equation, it can be concluded that the ionic mobility is a function of the shape,<br />

charge and radius of the ion and the viscosity of the solvent. Edward [7] and Bondi [9]<br />

calculated the contribution of different groups in a molecule to the volume of the<br />

molecule (and hence to the radius) from the covalent radius according to Pauling and<br />

the Van der Wads’ radii and angles [ 101 .<br />

Perrin [ 111 derived equations for friction factors from the ratio of the axes of prolate<br />

and oblate ellipsoids. Edward and Waldron-Edward [12] showed the possibility of<br />

calculating friction factors from diffusion constants.<br />

In the papers mentioned, reasonable results were obtained for the calculated values<br />

in comparison with the experimental values, deviations being found for small ions and<br />

strongly polar groups. Values for non-spherical and nonellipsoid ions, such as the<br />

“knobby shape” ions, can also be calculated. Very irregular ions cannot be treated<br />

Fig.3.6. Relationship between entropy (S) and ionic mobility (m) for some cations (a) and anions (b).<br />

The values correspond to those given in Table 3.2.

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