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Frans_M_Everaerts_Isotachophoresis_378342.pdf

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VALIDITY OF THE ISOTACHOPHORETIC MODEL 15<br />

effect can be neglected only if the zone boundary width that results from it is very small<br />

in comparison with the zone length.<br />

Several workers [ 10, 13, 15, 201 have given an approximation for this effect and<br />

showed that the width of the zone boundary due to diffusion is less than 0.1 mm; for<br />

long zone lengths, this can be neglected.<br />

4.4.3. Influence of axial and radial temperature differences<br />

During electrophoretic experiments, radial differences in temperature exist in the<br />

zones and axial differences in temperature between the different zones. Several quantities,<br />

such as mobilities and pK values, depend on temperature and the concentrations and pH<br />

values of the zones are also affected by temperature. HjertCn 1211 and Routs [I51 studied<br />

the influence of temperature in the radial direction and found that a parabolic shape of the<br />

zone boundary can be expected. Another important point is the difference in pK values<br />

of the ionic species due to the different temperatures of the zones. In Fig.4.14, the pK<br />

values of some ionic species are shown as a function of temperature.<br />

From Fig.4.14, it can be concluded that particularly the positively charged ionic<br />

species such as imidazole, tris and histidine, which are used as buffering counter ions for<br />

T 1 80<br />

60<br />

40<br />

20<br />

Fig.4.14. Relationship between temperature (r) and pK values of some ionic species. 1 = pK, of<br />

glutamic acid; 2 = pK, of glycine; 3 = pK of formic acid; 4 = pK, of glutamic acid; 5 = pK, of<br />

oxalic acid; 6 = pK of acetic acid; 7 = pK, of histidine; 8 = pK of imidazole; 9 = pK, of citric acid;<br />

10 = pK of tris (hydroxymethy1)aminomethane; 11 = pK of 2-amino-2-methyl-l,3-propanediol;<br />

12 = pic of orthoboric acid.<br />

PK

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