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High performance capillary electrophoresis - T.E.A.M.

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Principles<br />

that ion. The mobility is determined by the electric force<br />

that the molecule experiences, balanced by its frictional<br />

drag through the medium. That is<br />

Electric force (F<br />

µ e<br />

a = E<br />

)<br />

(2)<br />

Frictional force (F F<br />

)<br />

The electric force can be given by<br />

F E<br />

= q E (3)<br />

and the frictional force (for a spherical ion) by<br />

F F<br />

= -6 p h r v (4)<br />

where<br />

q = ion charge<br />

h = solution viscosity<br />

r = ion radius<br />

v = ion velocity.<br />

During <strong>electrophoresis</strong> a steady state, defined by the<br />

balance of these forces, is attained. At this point the forces<br />

are equal but opposite and<br />

q E = 6 p h r v (5)<br />

Solving for velocity and substituting equation (5) into<br />

equation (1) yields an equation that describes the mobility<br />

in terms of physical parameters<br />

q<br />

m e<br />

= (6)<br />

6 p h r<br />

From this equation it is evident that small, highly charged<br />

species have high mobilities whereas large, minimally<br />

charged species have low mobilities.<br />

18

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