Diffusion-influenced reactions in a hollow nano-reactor with a circular hole

Physical Chemistry Chemical Physics : PCCP
Francesco Piazza, Sergey D Traytak

Abstract

Hollow nanostructures are paid increasing attention in many nanotechnology-related communities in view of their numerous applications in chemistry and biotechnology, e.g. as smart nanoreactors or drug-delivery systems. In this paper we consider irreversible, diffusion-influenced reactions occurring within a hollow spherical cavity endowed with a circular hole on its surface. Importantly, our model is not limited to small sizes of the aperture. In our scheme, reactants can freely diffuse inside and outside the cavity through the hole, and react at a spherical boundary of given size encapsulated in the chamber and endowed with a given intrinsic rate constant. We work out the solution of the above problem, enabling one to compute the reaction rate constant to any desired accuracy. Remarkably, we show that, in the case of narrow holes, the rate constant is extremely well-approximated by a simple formula that can be derived on the basis of simple physical arguments and that can be readily employed to analyze experimental data.

References

Mar 30, 1999·Biophysical Journal·P F Almeida
Nov 15, 2002·Chemical Communications : Chem Comm·Wenjiang LiZichen Wang
Aug 3, 2004·Nature Materials·A SrivastavaP M Ajayan
Sep 29, 2007·Proceedings of the National Academy of Sciences of the United States of America·Z SchussD Holcman
Jun 24, 2008·Accounts of Chemical Research·Sara E SkrabalakYounan Xia
Nov 26, 2008·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·P Sekhar BuradaPeter Talkner
Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A SingerD Holcman
Feb 23, 2010·Journal of Theoretical Biology·Alexei Vazquez
May 22, 2010·Nature Chemistry·O BénichouR Voituriez
Jun 18, 2010·Biosensors & Bioelectronics·Byung-Wook ParkDong-Shik Kim
Aug 10, 2010·Quarterly Reviews of Biophysics·Huan-Xiang Zhou
Jul 28, 2011·Physical Chemistry Chemical Physics : PCCP·Tina UkmarAljaž Godec
Aug 25, 2011·The Journal of Chemical Physics·Alexander M BerezhkovskiiHuan-Xiang Zhou
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei F Cheviakov, Daniel Zawada
Jul 9, 2014·Journal of Colloid and Interface Science·Swen LehmannWalter Richtering

❮ Previous
Next ❯

Citations

Apr 4, 2017·Biotechnology Journal·Alejandro Tapia-MorenoRafael Vazquez-Duhalt
Jul 2, 2018·The Journal of Chemical Physics·Leonardo DagdugVladimir Yu Zitserman

❮ Previous
Next ❯

Related Concepts

Related Feeds

Bioinformatics in Biomedicine

Bioinformatics in biomedicine incorporates computer science, biology, chemistry, medicine, mathematics and statistics. Discover the latest research on bioinformatics in biomedicine here.