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Effect of diffuse layer and pore shapes in mesoporous carbon supercapacitors

Published online by Cambridge University Press:  31 January 2011

Jingsong Huang ,
Rui Qiao ,
Bobby G. Sumpter  and
Vincent Meunier
Jingsong Huang
Affiliation:
Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6367
Rui Qiao
Affiliation:
Department of Mechanical Engineering, Clemson University, Clemson, South Carolina 29634-0921
Vincent Meunier*
Affiliation:
Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6367
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

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.

Keywords

Energy storageSimulation
Type
Articles
Information
Journal of Materials Research , Volume 25 , Issue 8: Materials for Electrical Energy Storage , August 2010 , pp. 1469 - 1475
Copyright
Copyright © Materials Research Society 2010

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