Electrokinetic transport in fluidic channels facilitates control and separation of ionic species. In nanometer-scale electrokinetic systems, the electric double layer thickness is comparable to characteristic channel dimensions, and this results in nonuniform velocity profiles and strong electric fields transverse to the flow. In such channels, streamwise and transverse electromigration fluxes contribute to the separation and dispersion of analyte ions. In this paper, we report on analytical and numerical models for nanochannel electrophoretic transport and separation of neutral and charged analytes. We present continuum-based theoretical studies in nanoscale channels with characteristic depths on the order of the Debye length. Our model yields analytical expressions for electroosmotic flow, species transport velocity, streamwise-transverse concentration field distribution, and ratio of apparent electrophoretic mobility for a nanochannel to (standard) ion mobility. The model demonstrates that the effective mobility governing electrophoretic transport of charged species in nanochannels depends not only on electrolyte mobility values but also on zeta potential, ion valence, and background electrolyte concentration. We also present a method we term electrokinetic separation by ion valence (EKSIV) whereby both ion valence and ion mobility may be determined independently from a comparison of micro- and nanoscale transport measurements. In the second of this two-paper series, we present experimental validation of our models.
In this review, we present nanofluidic phenomena, particularly as they relate to applications involving analysis of biomolecules within nanofabricated devices. The relevant length scales and physical phenomena that govern biomolecule transport and manipulation within nanofabricated nanofluidic devices are reviewed, the advantages of nanofabricated devices are presented, and relevant applications are cited. Characteristic length scales include the Debye length, the Van der Waals radius, the action distance of hydrogen bonding, the slip length, and macromolecular dimensions. On the basis of the characteristic lengths and related nanofluidic phenomena, a nanofluidic toolbox will be assembled. Nanofluidic phenomena that affect biomolecule behavior within such devices can include ion depletion and enrichment, modified velocity and mobility, permselectivity, steric hindrance, entropy, adsorption, and hydrodynamic interaction. The complex interactions and coupled physics of such phenomena allow for many applications, including biomolecule separation, concentration, reaction/hybridization, sequencing (in the case of DNA) and detection. Examples of devices for such applications will be presented, followed by a discussion of near-term challenges and future thoughts for the field.
Silver-DNA nanoclusters (Ag:DNAs) are novel fluorophores under active research and development as alternative biomolecular markers. Comprised of a few-atom Ag cluster that is stabilized in water by binding to a strand of DNA, they are also interesting for fundamental explorations into the properties of metal molecules. Here, we use in situ calibrated electrokinetic microfluidics and fluorescence correlation spectroscopy to determine the size, charge, and conformation of a select set of Ag:DNAs. Among them is a pair of spectrally distinct Ag:DNAs stabilized by the same DNA sequence, for which it is known that the silver cluster differs by two atoms. We find these two Ag:DNAs differ in size by ∼30%, even though their molecular weights differ by less than 3%. Thus a single DNA sequence can adopt very different conformations when binding slightly different Ag clusters. By comparing spectrally identical Ag:DNAs that differ in sequence, we show that the more compact conformation is insensitive to the native DNA secondary structure. These results demonstrate electrokinetic microfluidics as a practical tool for characterizing Ag:DNA.
In this paper, we report an experimental study of electrokinetic transport and separation of double-stranded deoxyribonucleic acid (dsDNA) oligonucleotides in custom-fabricated fused-silica nanochannels filled with a gel-free sodium borate aqueous buffer. Mixtures of fluorescently labeled dsDNA molecules in the range of 10-100 base pair (bp), fluorescein, and fluorescein-12-UTP (UTP) were separated in less than 120 s in channels of depth ranging from 40 to 1560 nm. We varied the channel depth and background buffer concentration to achieve a 0.006-0.2 range of Debye length-to-channel-half-depth ratio (lambdaD/h), and a 0.004-1.7 range of the ratio of length of dsDNA molecule to channel half-depth (l/h). We find observed oligonucleotide migration times depend on both l/h and lambdaD/h. Electrophoretic mobility estimates agree well with published (micrometer-scale channel) values for background electrolyte (BGE) concentrations greater than approximately 10 mM. At BGE concentrations of 1 and 5 mM, mobility estimates in our nanochannels are higher than published values. Of the cases studied, the highest separation sensitivities were achieved in 100 nm channels with 1-10 mM ion density buffers. Potential applications of this technology include rapid small-scale sequencing and other fluorescence-based oligonucleotide separation and detection assays.
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