scholarly journals Self-affine roughness effects on the double-layer charge density and capacitance in the nonlinear regime

2003 ◽  
Vol 118 (10) ◽  
pp. 4631-4635 ◽  
Author(s):  
G. Palasantzas ◽  
G. M. E. A. Backx
Keyword(s):  
Charge Density ◽  
Double Layer ◽  
Nonlinear Regime ◽  
Layer Charge ◽  
Roughness Effects

scholarly journals Self-affine and mound roughness effects on the double-layer charge capacitance

2002 ◽  
Vol 92 (12) ◽  
pp. 7175-7179 ◽  
Author(s):  
G. Palasantzas ◽  
G. M. E. A. Backx
Keyword(s):  
Double Layer ◽  
Layer Charge ◽  
Roughness Effects ◽  
Charge Capacitance

Extracting double layer charge density distributions using the method of moments

1994 ◽  
Vol 22 (3) ◽  
pp. 278-280
Author(s):  
K.E. Lonngren ◽  
P.V. Schwartz ◽  
Er Wei Bai ◽  
W.C. Theisen ◽  
R.L. Merlino ◽  
...  
Keyword(s):  
Charge Density ◽  
Double Layer ◽  
Method Of Moments ◽  
Layer Charge ◽  
Density Distributions

Electric condensation of divalent counterions by humic acid nanoparticles

2016 ◽  
Vol 13 (1) ◽  
pp. 76 ◽  
Author(s):  
Herman P. van Leeuwen ◽  
Raewyn M. Town
Keyword(s):  
Humic Acid ◽  
Charge Density ◽  
Double Layer ◽  
Ion Pairs ◽  
Ion Pairing ◽  
Counterion Condensation ◽  
Counterion Binding ◽  
Satisfactory Description ◽  
Poisson Boltzmann ◽  
Very High

Environmental context Humic acids are negatively charged soft nanoparticles that play a governing role in the speciation of many ionic and molecular compounds in the environment. The charge density in the humic acid nanoparticle can be very high and the binding of divalent cations such as Ca2+ appears to go far beyond traditional ion pairing or Poisson–Boltzmann electrostatics. A two-state approach, combining counterion condensation in the intraparticulate double layer and classical Donnan partitioning in the bulk of the particle, provides a satisfactory description of the physicochemical speciation. Abstract Experimental data for divalent counterion binding by soil humic acid nanoparticles are set against ion distributions as ensuing from continuous Poisson–Boltzmann electrostatics and a two-state condensation approach. The results demonstrate that Poisson–Boltzmann massively underestimates the extent of binding of Ca2+ by humic acid, and that electric condensation of these counterions within the soft nanoparticulate body must be involved. The measured stability of the Ca2+–humic acid associate is also much greater than that predicted for ion pairing between single Ca2+ ions and monovalent negative humic acid sites, which also points to extensive electrostatic cooperativity within the humic acid particle. At sufficiently high pH, the charge density inside the humic acid entity may indeed become so high that the bulk particle attains a very high and practically flat potential profile throughout. At this limit, all the intraparticulate Ca2+ is at approximately the same electrostatic potential and the status of individual ion pairs has become immaterial. A two-state model, combining counterion condensation in the charged intraparticulate part of the double layer at the particle–medium interface and Donnan partitioning in the uncharged bulk of the humic acid particle, seems to lead the way to adequate modelling of the divalent counterion binding for various particle sizes and different ionic strengths.

scholarly journals Preparation of hectorite-like swelling silicate with controlled layer charge density

2008 ◽  
Vol 116 (1360) ◽  
pp. 1309-1313 ◽  
Author(s):  
Makoto OGAWA ◽  
Takayuki MATSUTOMO ◽  
Tomohiko OKADA
Keyword(s):  
Charge Density ◽  
Layer Charge

Highly Conductive Nanostructured C-TiO2 Electrodes with Enhanced Electrochemical Stability and Double Layer Charge Storage Capacitance

Langmuir ◽  
2012 ◽  
Vol 28 (28) ◽  
pp. 10610-10619 ◽  
Author(s):  
Fraser Mole ◽  
Jue Wang ◽  
Daniel A. Clayton ◽  
Cailing Xu ◽  
Shanlin Pan
Keyword(s):  
Double Layer ◽  
Electrochemical Stability ◽  
Layer Charge ◽  
Charge Storage
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