The free solution mobility of DNA and other analytes varies as the logarithm of the fractional negative charge.

The free solution mobilities of ssDNA and dsDNA molecules with variable charge densities have been measured by CE. DNA charge density was modified either by appending positively or negatively charged groups to the thymine residues in a 98 bp DNA molecule, or by replacing some of the negatively charged phosphate internucleoside linkers in small ssDNA or dsDNA oligomers with positively charged phosphoramidate linkers. Mobility ratios were calculated for each dataset by dividing the mobility of a charge variant by the mobility of its unmodified parent DNA. Mobility ratios essentially eliminate the effect of the BGE on the observed mobility, making it possible to compare analytes measured under different experimental conditions. Neutral moieties attached to the thymine residues in the 98-bp DNA molecule had little or no effect on the mobility ratios, indicating that bulky substituents in the DNA major groove do not affect the mobility significantly. The mobility ratios observed for the thymine-modified and linker-modified DNA charge variants increased approximately linearly with the logarithm of the fractional negative charge of the DNA. Mobility ratios calculated from previous studies of linker-modified DNA charge variants and small multicharged organic molecules also increased approximately linearly with the logarithm of the fractional negative charge of the analyte. The results do not agree with the Debye-Hückel-Onsager theory of electrophoresis, which predicts that the mobility of an analyte should depend linearly on analyte charge, not the logarithm of the charge, when the frictional coefficient is held constant.