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Pore connectivity effects on the internal surface electric charge of mesoporous silica

  • Tumcan Sen
  • Murat BarisikEmail author
Original Contribution
  • 40 Downloads

Abstract

Nano-scale confinements within mesoporous systems develop overlapping electric double layers (EDL) such that the existing theoretical models cannot predict the electric potential distributions and resulting surface charges. In addition, ionic conditions undergo local variation through connections between the pore voids and pore throats. For the first time in literature, we studied the charging behavior of mesoporous silica in terms of the pore to throat size ratio (Rpt) to characterize the pore connectivity effects, in addition to porosity (є) and pore size (H). Both local and average surface charge densities inside mesoporous silica were examined by varying these parameters systematically. Results showed that the magnitude of surface charge density decreased with increasing EDL overlap and decreasing connectivity effects. We formulized this behavior and developed an extended model to predict mesoporous silica’s internal charge as a function of porosity, pore size, and pore to throat size ratio.

Graphical abstract

The table of contents entry

Keywords

Mesoporous silica Internal surface electric charge Poisson-Nernst-Planck equations Charge regulation model Porosity Pore to throat connectivity 

Nomenclature

EDL

Electric double layer

BD

Boltzmann distribution

PNP

Poisson-Nernst-Planck

CR

Charge regulation

REV

Representative elementary volume

H

Pore size

Rpt

Pore to throat size ratio

c10

Bulk concentration of H+

c20

Bulk concentration of K+

c30

Bulk concentration of Cl

c40

Bulk concentration of OH

ε

Porosity

λ

Debye length

κ

Debye-Hückel parameter

ε0

Permitivity of vacuum

εr

Dielectric constant

kB

Boltzmann constant

T

Temperature

NA

Avagadro constant

e

Elementary charge

ci

Local concentration of the ith ion

zi

Valance of the ith ion

Ψ

Electric potential

Ni

Flux density

D

Diffusivity

F

Faraday constant

R

Universal gas constant

Γ

Site density

KA, KB

Equilibrium constants

σ

Surface charge density

AR

Aspect ratio of the solid parts

Notes

Acknowledgments

This work was supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) under the Grant Number 118M710. Authors also would like to thank the Center for Scientific Computation at Southern Methodist University.

Funding information

This work was supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) under the Grant Number 118M710

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringIzmir Institute of TechnologyIzmirTurkey

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