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

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Principles<br />

Note that equation (15) should only be used for Gaussian<br />

peaks. Any asymmetry should be taken into account, for<br />

example, by use of central moments.<br />

In practice, the measured efficiency, equation (15), is usually<br />

lower than the calculated efficiency, equation (14). This is<br />

because the theoretical calculation accounts only for zone<br />

broadening due to longitudinal diffusion. As described in the<br />

next section, other dispersive processes are often present.<br />

2.3.4.1 Factors affecting efficiency<br />

Dispersion in CE can have a number of contributors in<br />

addition to longitudinal diffusion. Among the most important<br />

are temperature gradients induced by Joule heating, injection<br />

plug length, and solute interactions with the <strong>capillary</strong> walls.<br />

Fortunately, these phenomena are usually controllable, as<br />

discussed below. These and other zone broadening mechanisms<br />

are described in table 3.<br />

Dispersion, as described by equation (13), was derived with<br />

the assumption that the only contributor was molecular<br />

diffusion. The variance is better described by the total<br />

variance of the system, s 2 , which is given by the sum of the<br />

T<br />

contributing variances<br />

s 2 = T s2 + DIF s2 + INJ s2 + TEMP s2 + ADS s2 + DET s2 +...<br />

Electrodispersion<br />

(16)<br />

where the subscripts refer to diffusion, injection, temperature<br />

gradients, adsorption, detection, and electrodispersion,<br />

respectively. If any of the dispersion processes in equation<br />

(16) dominate the diffusion term, theoretical limits cannot<br />

be obtained and equation (14) will not be valid. In this case,<br />

only minimal improvements in efficiency and resolution can<br />

be obtained by increased voltage.<br />

30

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