By Mario Tagliazucchi, Igal Szleifer
Chemically converted Nanopores and Nanochannels is dedicated to chemically transformed nanopores and nanochannels, and covers the basics of shipping in chemically changed platforms, an account of different education and characterization ideas of chemically transformed nanopores, their functions, and case reports.
The e-book is designed for fabrics and biomaterials scientists, biomedical engineers, chemists, and chemical engineers who're attracted to designing and using approaches to synthesize, alter, signify, use, and version nanopores. The robust chemical concentration of the booklet differentiates it from different books released on nanopores, which commonly concentration both on physics, biophysics, and nanofabrication (solid-state nanopores) or biophysics and biology (biological ion channels and pores).
- Explains how the chemical amendment of nanopores and nanochannels can be utilized in filtration, membranes, and sensing
- Provides complex assurance of novel artificial applications
- Focuses at the most recent advancements in nanopore and nanochannel engineering
- Presents an account of the various training and characterization suggestions of chemically changed nanopores, their purposes, and case studies
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Additional resources for Chemically Modified Nanopores and Nanochannels
1A), and the solution phase. In each phase, the electroneutrality condition must be fulfilled, therefore the concentration of counterions (cations in the current example) is higher in the polyelectrolyte phase than in the solution phase. Thus, in order to sustain this imbalance in counterion concentration, an interfacial potential ΔψD develops (see Fig. 1), which is known as the Donnan potential. It can be shown that for a 1:1 electrolyte, ΔψD is given by,17,18 ﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ ﬃ3 r 2 2 À Á pol pol sol jej 2 c q 1 c q 1 2c p p p p salt 7 kB T 6 7 ΔψD 5 ln6 5 jej 4 2c sol jej ð2:21Þ salt pol bulk where csalt is the salt density in the solution phase and cp and qp are the concentration and charge of the charged groups of the polymer in the polymer phase.
In equilibrium, ci(r) can be expressed as a function of its excess chemical potential as: ci ðrÞ 5 ci bulk μex ðrÞ 2 μex;bulk i exp 2 i kB T ! ð2:11Þ Chapter 2 • Theoretical Basis for Structure and Transport 31 where we used Eq. , the homogeneous solution far from the surface). , the same approximation used for Eq. 7)). Combination of Eqs. 11) results in the well-known PoissonÀBoltzmann (PB) equation: εε0 r2 ψðrÞ 5 2 X i qi ψðrÞ qi cibulk exp 2 kB T ð2:12Þ It is worthwhile to stress that the assumption μex i 5 qi ψ is the simplest one that captures the right physics of the problem, but more sophisticated approximations can be used.
4C and D. 4 Access Resistance versus Channel Resistance Single nanochannels differ from single microchannels in the relative magnitudes of the access and channel resistances. The access resistance is the resistance of the solution located between the channel entrance and the electrodes at the reservoirs. Let us estimate the channel and access resistances for the simplest case of a single channel with neutral walls near equilibrium (we will neglect electroosmosis in these calculations). Inside the nanochannel, the ion fluxes occur in the direction parallel to the axis of the channel and their magnitude is independent of the radial coordinate (see Fig.