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

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Temperature<br />

Principles<br />

Capillary<br />

wall<br />

Capillary<br />

center<br />

Capillary<br />

wall<br />

Polyimide<br />

coating<br />

Surrounding<br />

environment<br />

Surrounding<br />

environment<br />

Figure 13<br />

Schematic of temperature gradients from<br />

<strong>capillary</strong> center to the surroundings<br />

390 375 25 0 25<br />

375 390<br />

d [µm]<br />

An example of the calculated temperature difference between<br />

the internal <strong>capillary</strong> wall and the <strong>capillary</strong> center is<br />

given in table 4.<br />

Radius (µm) Wall temperature, K Temperature difference, K<br />

Table 4<br />

Capillary wall temperature and center-towall<br />

temperature difference 5<br />

25 299.0 0.53<br />

50 301.2 1.39<br />

75 304.2 3.14<br />

100 307.7 5.58<br />

125 311.6 8.72<br />

Equation (17) implies that it is advantageous to use narrow<br />

inner radii capillaries with large outer radii. As mentioned,<br />

the small volume limits the quantity of heat generated, even<br />

when several hundred volts per centimeter are applied. In<br />

addition, the high inner surface-to-volume ratio helps<br />

dissipate the generated heat through the <strong>capillary</strong> wall. The<br />

large outer diameter is advantageous due to a reduction in<br />

the insulating properties of the polyimide and improvement<br />

of heat transfer to the surroundings. Although the polyimide<br />

coating is only a few microns thick, its low thermal conductivity<br />

significantly limits heat transfer.<br />

There are a number of methods that indicate excessive<br />

heat generation and possible temperature gradients. These<br />

phenomena may be indicated if efficiency is reduced as the<br />

33

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