Micellar electrokinetic chromatography

The micelle velocity is defined by:

${\displaystyle u_{c}=u_{p}+u_{o}}$

where ${\displaystyle u_{p}}$ is the electrophoretic velocity of a micelle.[4]

The retention time of a given sample should depend on the capacity factor, ${\displaystyle k^{1}}$:

${\displaystyle k^{1}={\frac {n_{c}}{n_{w}}}}$

where ${\displaystyle n_{c}}$ is the total number of moles of solute in the micelle and ${\displaystyle n_{w}}$ is the total moles in the aqueous phase.[4] The retention time of a solute should then be within the range:

${\displaystyle t_{M}\leq t_{r}\leq t_{c}}$

Charged analytes have a more complex interaction in the capillary because they exhibit electrophoretic mobility, engage in electrostatic interactions with the micelle, and participate in hydrophobic partitioning.[5]

The fraction of the sample in the aqueous phase, ${\displaystyle R}$, is given by:

${\displaystyle R={\frac {u_{s}-u_{c}}{u_{o}-u_{c}}}}$

where ${\displaystyle u_{s}}$ is the migration velocity of the solute.[4] The value ${\displaystyle R}$ can also be expressed in terms of the capacity factor:

${\displaystyle R={\frac {1}{1+k^{1}}}}$

Using the relationship between velocity, tube length from the injection end to the detector cell (${\displaystyle L}$), and retention time, ${\displaystyle u_{o}=L/t_{M}}$, ${\displaystyle u_{c}=L/t_{c}}$ and ${\displaystyle u_{s}=L/t_{r}}$, a relationship between the capacity factor and retention times can be formulated:[5]

${\displaystyle k^{1}={\frac {t_{r}-t_{M}}{t_{M}(1-(t_{r}/t_{c}))}}}$

The extra term enclosed in parentheses accounts for the partial mobility of the hydrophobic phase in MEKC.[5] This equation resembles an expression derived for ${\displaystyle k^{1}}$ in conventional packed bed chromatography:

${\displaystyle k={\frac {t_{r}-t_{M}}{t_{M}}}}$

A rearrangement of the previous equation can be used to write an expression for the retention factor:[6]

${\displaystyle t_{r}=\left({\frac {1+k^{1}}{1+(t_{M}/t_{c})k^{1}}}\right)t_{M}}$

From this equation it can be seen that all analytes that partition strongly into the micellar phase (where ${\displaystyle k^{1}}$ is essentially ∞) migrate at the same time, ${\displaystyle t_{c}}$. In conventional chromatography, separation of similar compounds can be improved by gradient elution. In MEKC, however, techniques must be used to extend the elution range to separate strongly retained analytes.[5]

Elution ranges can be extended by several techniques including the use of organic modifiers, cyclodextrins, and mixed micelle systems. Short-chain alcohols or acetonitrile can be used as organic modifiers that decrease ${\displaystyle t_{M}}$ and ${\displaystyle k^{1}}$ to improve the resolution of analytes that co-elute with the micellar phase. These agents, however, may alter the level of the EOF. Cyclodextrins are cyclic polysaccharides that form inclusion complexes that can cause competitive hydrophobic partitioning of the analyte. Since analyte-cyclodextrin complexes are neutral, they will migrate toward the cathode at a higher velocity than that of the negatively charged micelles. Mixed micelle systems, such as the one formed by combining SDS with the non-ionic surfactant Brij-35, can also be used to alter the selectivity of MEKC.[5]

The simplicity and efficiency of MEKC have made it an attractive technique for a variety of applications. Further improvements can be made to the selectivity of MEKC by adding chiral selectors or chiral surfactants to the system. Unfortunately, this technique is not suitable for protein analysis because proteins are generally too large to partition into a surfactant micelle and tend to bind to surfactant monomers to form SDS-protein complexes.[7]

Recent applications of MEKC include the analysis of uncharged pesticides,[8] essential and branched-chain amino acids in nutraceutical products,[9] hydrocarbon and alcohol contents of the marjoram herb.[10]

MEKC has also been targeted for its potential to be used in combinatorial chemical analysis. The advent of combinatorial chemistry has enabled medicinal chemists to synthesize and identify large numbers of potential drugs in relatively short periods of time. Small sample and solvent requirements and the high resolving power of MEKC have enabled this technique to be used to quickly analyze a large number of compounds with good resolution.

Traditional methods of analysis, like high-performance liquid chromatography (HPLC), can be used to identify the purity of a combinatorial library, but assays need to be rapid with good resolution for all components to provide useful information for the chemist.[11] The introduction of surfactant to traditional capillary electrophoresis instrumentation has dramatically expanded the scope of analytes that can be separated by capillary electrophoresis.

MEKC can also be used in routine quality control of antibiotics in pharmaceuticals or feedstuffs.[12]

• Kealey, D.;Haines P.J.; instant notes, Analytical Chemistry page 182-188