Free Energy Relationships in the Electric Double Layer and Alkali Earth Speciation at the Fused Silica/Water Interface

2009 ◽  
Vol 113 (41) ◽  
pp. 17795-17802 ◽  
Author(s):  
Jessica N. Malin ◽  
Joseph G. Holland ◽  
Franz M. Geiger
Keyword(s):  
Free Energy ◽  
Double Layer ◽  
Electric Double Layer ◽  
Fused Silica ◽  
Water Interface ◽  
Alkali Earth ◽  
Energy Relationships

scholarly journals Debye-Hückel Free Energy of an Electric Double Layer with Discrete Charges Located at a Dielectric Interface

Membranes ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 129
Author(s):  
Guilherme Volpe Bossa ◽  
Sylvio May
Keyword(s):  
Free Energy ◽  
Double Layer ◽  
Electric Double Layer ◽  
Low Dielectric Constant ◽  
Surface Charges ◽  
Dielectric Interface ◽  
Charge Densities ◽  
Low Dielectric ◽  
Poisson Boltzmann ◽  
The Continuum

Poisson–Boltzmann theory provides an established framework to calculate properties and free energies of an electric double layer, especially for simple geometries and interfaces that carry continuous charge densities. At sufficiently small length scales, however, the discreteness of the surface charges cannot be neglected. We consider a planar dielectric interface that separates a salt-containing aqueous phase from a medium of low dielectric constant and carries discrete surface charges of fixed density. Within the linear Debye-Hückel limit of Poisson–Boltzmann theory, we calculate the surface potential inside a Wigner–Seitz cell that is produced by all surface charges outside the cell using a Fourier-Bessel series and a Hankel transformation. From the surface potential, we obtain the Debye-Hückel free energy of the electric double layer, which we compare with the corresponding expression in the continuum limit. Differences arise for sufficiently small charge densities, where we show that the dominating interaction is dipolar, arising from the dipoles formed by the surface charges and associated counterions. This interaction propagates through the medium of a low dielectric constant and alters the continuum power of two dependence of the free energy on the surface charge density to a power of 2.5 law.

Free Energy Relationships in the Electrical Double Layer over Single-Layer Graphene

2013 ◽  
Vol 135 (3) ◽  
pp. 979-981 ◽  
Author(s):  
Jennifer L. Achtyl ◽  
Ivan V. Vlassiouk ◽  
Pasquale F. Fulvio ◽  
Shannon M. Mahurin ◽  
Sheng Dai ◽  
...  
Keyword(s):  
Free Energy ◽  
Double Layer ◽  
Electrical Double Layer ◽  
Single Layer ◽  
Single Layer Graphene ◽  
Layer Graphene ◽  
Energy Relationships

Electric Double Layer at Metal Oxide Surfaces:  Static Properties of the Cassiterite−Water Interface

Langmuir ◽  
2007 ◽  
Vol 23 (9) ◽  
pp. 4925-4937 ◽  
Author(s):  
Lukas Vlcek ◽  
Zhan Zhang ◽  
Mike L. Machesky ◽  
Paul Fenter ◽  
Jorgen Rosenqvist ◽  
...  
Keyword(s):  
Metal Oxide ◽  
Double Layer ◽  
Electric Double Layer ◽  
Oxide Surfaces ◽  
Water Interface ◽  
Static Properties ◽  
Metal Oxide Surfaces

Accumulation of counterions and coions evaluated by cryogenic XPS as a new tool for describing the structure of electric double layer at the silica/water interface

2017 ◽  
Vol 19 (43) ◽  
pp. 29047-29052 ◽  
Author(s):  
Jiří Škvarla ◽  
Mária Kaňuchová ◽  
Andrey Shchukarev ◽  
Ivan Brezáni ◽  
Juraj Škvarla
Keyword(s):  
Double Layer ◽  
Photoelectron Spectroscopy ◽  
Electric Double Layer ◽  
Liquid Interface ◽  
New Method ◽  
Water Interface ◽  
Spectroscopy Technique ◽  
X Ray ◽  
Solid Liquid Interface ◽  
Solid Liquid

We introduce a new method of evaluating the structure of electric double layer (EDL) at the native solid/liquid interface using cryogenic X-ray photoelectron spectroscopy technique.

Sign in / Sign up

Export Citation Format

Share Document