Ion binding by charged particles in their diffuse layer based on a symmetrized Poisson–Boltzmann approach

1992 ◽  
Vol 88 (16) ◽  
pp. 2365-2369 ◽  
Author(s):  
Eli Ruckenstein ◽  
Anatoli B. Schmidt
Keyword(s):  
Charged Particles ◽  
Diffuse Layer ◽  
Ion Binding ◽  
Poisson Boltzmann

scholarly journals Evaluation of Ion Binding to DNA Duplexes Using a Size-Modified Poisson-Boltzmann Theory

2007 ◽  
Vol 93 (9) ◽  
pp. 3202-3209 ◽  
Author(s):  
Vincent B. Chu ◽  
Yu Bai ◽  
Jan Lipfert ◽  
Daniel Herschlag ◽  
Sebastian Doniach
Keyword(s):  
Ion Binding ◽  
Dna Duplexes ◽  
Poisson Boltzmann

Protein−Ion Binding Process on Finite Macromolecular Concentration. A Poisson−Boltzmann and Monte Carlo Study

2008 ◽  
Vol 112 (51) ◽  
pp. 16766-16776 ◽  
Author(s):  
Sidney Jurado de Carvalho ◽  
Márcia O. Fenley ◽  
Fernando Luís Barroso da Silva
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Ion Binding ◽  
Binding Process ◽  
Poisson Boltzmann

Effect of diffuse layer and pore shapes in mesoporous carbon supercapacitors

2010 ◽  
Vol 25 (8) ◽  
pp. 1469-1475 ◽  
Author(s):  
Jingsong Huang ◽  
Rui Qiao ◽  
Bobby G. Sumpter ◽  
Vincent Meunier
Keyword(s):  
Pore Size ◽  
Mesoporous Carbon ◽  
Diffuse Layer ◽  
Pore Shape ◽  
Mesoporous Carbons ◽  
Cylindrical Pores ◽  
Theoretical Evolution ◽  
Poisson Boltzmann ◽  
Slit Pores ◽  
Carbon Supercapacitors

In the spirit of the theoretical evolution from the Helmholtz model to the Gouy–Chapman–Stern model for electric double-layer capacitors, we explored the effect of a diffuse layer on the capacitance of mesoporous carbon supercapacitors by solving the Poisson–Boltzmann (PB) equation in mesopores of diameters from 2 to 20 nm. To evaluate the effect of pore shape, both slit and cylindrical pores were considered. We found that the diffuse layer does not affect the capacitance significantly. For slit pores, the area-normalized capacitance is nearly independent of pore size, which is not experimentally observed for template carbons. In comparison, for cylindrical pores, PB simulations produce a trend of slightly increasing area-normalized capacitance with pore size, similar to that depicted by the electric double-cylinder capacitor model proposed earlier. These results indicate that it is appropriate to approximate the pore shape of mesoporous carbons as being cylindrical and the electric double-cylinder capacitor model should be used for mesoporous carbons as a replacement of the traditional Helmholtz model.

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