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Frans_M_Everaerts_Isotachophoresis_378342.pdf

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36 CONCEPT OF MOBILITY<br />

3.4.2. Relaxation and electrophoretic retardation<br />

as<br />

According to Hiickel, Debye and Onsager (see ref. I), the conductance can be written<br />

A= '0 - Arel. - 4et. (3.28)<br />

where A,,. and he, are corrections for the decreasing effects on the conductivity due<br />

to the relaxation and retardation effects, respectively.<br />

s= ___ lz+l iz- I - A: + A;<br />

IZ+l+ lz- I 1.2- I A: + 12' I A,<br />

Substitution of eqns. 3.29, 3.30, 3.31 and 3.32 into eqn. 3.28 gives for the molar<br />

conductivity<br />

A=A~-~&<br />

with<br />

In a similar way [ 11, for the equivalent conductance we can derive<br />

A* = A* 0 -a* ,/ (k+I + 12- I)c*<br />

with<br />

(3.29)<br />

(3.30)<br />

(3.31)<br />

(3.32)<br />

(3.33)<br />

(3.34)<br />

(3.3 5)<br />

(3.36)<br />

(3.37)<br />

In order to show the importance of the influences for different solvents and for different<br />

charges of the ions, we calculated the effective mobilities according to these expressions<br />

for monovalent and divalent cations in water and methanol for a hypothetical value<br />

of the absolute mobility of 50 - lo-' cm*/V - s at a concentration of 0.01 N. The results<br />

are shown in Table 3.1.

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