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

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time and other experimental parameters can be used to<br />

calculate the apparent solute mobility using<br />

Principles<br />

m a<br />

=<br />

l lL<br />

=<br />

tE tV<br />

(9)<br />

where: m a<br />

= m e<br />

+ m EOF<br />

.<br />

V = applied voltage<br />

l = effective <strong>capillary</strong> length (to the detector)<br />

L = total <strong>capillary</strong> length<br />

t = migration time<br />

E = electric field<br />

In the presence of EOF, the measured mobility is called the<br />

apparent mobility, µ a<br />

. The effective mobility, µ e<br />

, can be extracted<br />

from apparent mobility by independently measuring<br />

the EOF using a neutral marker that moves at a velocity<br />

equal to the EOF. Examples of neutral markers include<br />

DMSO, mesityl oxide, and acetone. A sample calculation<br />

using a vitamin separation is illustrated in figure 10.<br />

mAU<br />

(93.1 s)<br />

Solute Migration m a<br />

(cm 2 /Vs) m e<br />

(cm 2 /Vs)<br />

time(s)<br />

Cation 38.4 3.05 × 10 -3 7.40 × 10 -4<br />

Neutral 50.7 2.31 × 10 -3 2.31 × 10 -3<br />

Anion 93.1 1.26 × 10 -3 -1.05 × 10 -3<br />

(38.4 s)<br />

(50.7 s)<br />

lL (50) (58.5)<br />

Cation: m a<br />

= = = 3.05 × 10 -3<br />

Vt (25,000) (38.4)<br />

Neutral: m EOF<br />

= (50) (58.5) = 2.31 × 10 -3<br />

(25,000) (50.7)<br />

Figure 10<br />

Calculation of electro-osmotic flow<br />

mobility and effective solute mobility<br />

m e<br />

= m a<br />

- m EOF<br />

= (3.05 × 10 -3 ) - (2.31 × 10 -3 ) = 7.40 × 10 -4<br />

0.5 1.0 1.5 2.0<br />

Time [min]<br />

(note: m e<br />

will be negative for the anion)<br />

The two different <strong>capillary</strong> lengths, effective and total, are<br />

described schematically in figure 11. The effective length is<br />

that from the point of injection to the point of detection. For<br />

on-<strong>capillary</strong> spectroscopic detection, this length is typically<br />

5 to 10 cm shorter than the total length. For off-column<br />

27

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