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Overcoming mass transfer limitations by introducing vortex chromatography

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Overcoming mass transfer limitations by introducing vortex chromatography

Eiko Y. Westerbeek1,2, Guillermo Gonzalez Amaya1, Wouter Olthuis2,

Jan C.T. Eijkel2, Wim de Malsche1 1µFlow group, Vrije Universiteit Brussel 2The BIOS lab-on-a-chip-group. University of Twente

ABSTRACT

In this work we report a method to reduce Taylor-Aris dispersion for chromatographic applications by introducing vortices, lateral to the pressure driven flow. We show a fundamental improvement of a reversed-phase chromatographic separation of coumarin 440 and coumarin 480 by inducing vortices in lateral direction, increasing the resolution from 1.3 to 2.05. Since coumarins are relatively fast diffusing molecules, slowly diffusing molecules such as large proteins and other large biomolecules would benefit even more from the displayed technique.

KEYWORDS: Liquid chromatography, Taylor-Aris dispersion, AC-electroosmotic flow INTRODUCTION

Liquid chromatography is a widely used analytical technique within life sciences. Although abundant improvements have been made to the technique since its introduction in the year 1900, chromatographic application fields such as proteomics are still in need of further improvement. The number of compounds that can be separated with a chromatography column depends on the dispersion of an injected plug when eluted through the column. At high elution velocities (Pe>10), Taylor dispersion is the mechanism which contributes most to dispersion.[1] In the field of chromatography, plate height is often used as a measure of dispersion, which describes the dispersion per channel length. The plate height can be expressed dimensionless as;

𝑣2 2𝜅 1

Where ℎ is the dimensionless plate height, 𝑣, the dimensionless velocity and 𝜅 the dispersion coefficient. Where the first term represents the B-term from the classic van Deemter equation and the second term the C-Term. By introducing strictly lateral vortices, the lateral mass-transfer increases, reducing the Taylor-Aris dispersion and thus 𝜅 . AC-electroosmotic flow (AC-EOF) can reach velocities of over several hundreds of m/s [2], sufficient to significantly enhance the lateral mass transfer of molecules with a diffusion coefficient of 10-10m2/s (e.g. proteins)

in a channel with a characteristic length of 10-5m. Importantly, the induced flow should be strictly lateral, since

axial flow components would increase the dispersion. In this work we demonstrate a technique to induce lateral vortices using AC-EOF in a C18-coated microchannel as well as the reduction of dispersion of coumarins, improving the separation.

EXPERIMENTAL

Figure 1‐ Schematic of the fabricated chip. When the channel is filled with electrolyte and an AC‐potential is applied an electric field between the top electrodes and the bottom electrodes and the charge on the walls of the electrodes results in an electroosmotic flow.

Figure 1 shows a schematic of the used chip. The substrate used was a P++ SOI-wafer in which a channel (w=40μm, h=20μm) was etched through the top layer, oxide layer and part of the substrate, using photolithography and plasma etching. Subsequently, a 13nm oxide layer was created using thermal oxidation. Finally, Ti/Pt electrodes were sputtered onto the silicon and a borosilicate glass wafer was anodically bonded to seal the channel. For plug injection and separation, a Micronit side connector was used for connecting tubing, and a Fluigent pressure pump to induce

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a pressure driven flow. The electrodes were connected to a waveform generator applying a 10Vpp sinusoidal AC-potential. The chip was coated with a C18 coating using standard procedure. A standard fluorescence microscope set-up was used for optical characterization. Electrolyte used was 0.1mM KCl and the dyes used were 50μM FITC-Dextran 20kDa, 0.1mM Coumarin 440 and 0.1mM Coumarin 480.

RESULTS AND DISCUSSION

50 µm a) b) c) d) e) 0 5 10 15 20 25 1.2 1.4 1.6 1.8 2.0 2.2 Re so lu tio n Frequency (kHz) Bubble formation frequency limit

0 10 20 30 40 50 0.0 0.2 0.4 0.6 0.8 1.0 Intensi ty ( A .U. ) time (s) No EOF With EOF Figure 2‐a) Fluorescent intensity profile of a FITC‐Dextran plug with AC‐EOF(red) and without AC‐EOF(green). b)Fluorescent intensity of a pressure‐driven plug of FITC‐Dextran. c) Fluorescent intensity of a pressure‐driven plug of FITC‐Dextran with induced AC‐EOF. d) The resolution vs the applied AC‐frequency. e) Chromatograms of a separation of Coumarin 440 and 480 with and without AC‐EOF.

Figures 2a-c show the reduction of plug width when applying an AC-potential, with the distribution changing from a parabolic shape indicating Taylor-dispersion as the main dispersion source to a more symmetric distribution, indicating a reduction in the amount of Taylor-dispersion. Using FITC-Dextran, 𝜅 was reduced with a factor of 10 when AC-electroosmotic flow was induced, compared to injections without secondary flow. Figure 2e shows the chromatogram for the separation of coumarin 440 and 480 with and without AC-EOF. As can be observed, applying AC-EOF reduces the peak widths of both compounds, increasing the resolution (a measure for the quality of separation of two compounds in a chromatogram). Figure 2d shows the resolution at different frequencies. At frequencies below 2kHz, bubbles started to form due to the electrolysis of water, severely decreasing resolution. The resolution is maximal around 5 kHz, which coincides with the highest magnitude of AC-EOF, which lies around the reciprocal of the RC-time of the system around several kHz most effectively reducing Taylor dispersion.

CONCLUSION

In this work we demonstrated a fundamental improvement for chromatographic applications by lowering the Tay-lor-Aris dispersion through the enhancement of the lateral mass transfer. The lateral mass transfer was enhanced by introducing lateral vortices using AC-EOF. The resolution of the separation of Coumarin 440 and 480 was creased by ca. 60%. Future work will aim at the reduction of the channel size to several microns making them in-teresting for chromatographic applications . Furthermore, future work will focus on increasing the loadability of the channel by making the SiO2 porous, and manufacturing a pillar-based column.

ACKNOWLEDGEMENTS

This work has been supported by the European Research Council through the Starting ERC Grant ‘EVODIS’.

REFERENCES

[1] H. Poppe, Mass transfer in rectangular chromatographic channels, J. Chro- matogr. A 948 (2002) 3–17. [2] Green, N. G., Ramos, A., González, A., Morgan, H., & Castellanos, A. Fluid flow induced by nonuniform ac

electric fields in electrolytes on microelectrodes. I. Experimental measurements. (2000). Physical Review E, 61(4), 4011–4018.

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