In order to achieve higher energy densities per device mass with high electrode densities while retaining greater power, expressions and guidelines for determination of electrode effective thickness, optimum charging current density and electrode utilization in device with certain electrodes and electrolyte effective conductivity were developed, and used systematically to study performance of capacitors. Effective thickness of electrode increases along with increase in effective conductivity of electrolyte and decreases with increase charging current density. Every current density applied to device of specific electrode and electrolyte effective conductivity has corresponding electrodes effective thickness, and when charged at current density higher than its maximum, materials (electrodes) utilization was less than 100%. Also, when device with electrodes thickness higher than the effective thickness was charged at its maximum current density, materials (electrodes) utilization reduced below 100%. Materials utilization decreases along with increase in current density and electrode thickness, but increases as effective conductivity of electrode and electrolyte are increase. Therefore, optimum/effective thickness of electrode and optimum current density must be employed in charging device of given electrode and electrolyte effective conductivity for maximum materials utilization and performance (with minimum or no potential drop). Optimum current density beyond which energy density decays increases along with increase in electrode and electrolyte effective conductivity and decrease in electrode thickness. Use of optimum current density and effective electrode thickness to maximize energy and power densities is inevitable, because increase in current density results in increase in power density and decrease in energy density.
Key words: Electrode thickness; Current density; Effective conductivity; Modelling and simulation; Electrode utilization; and Potential drop.
References
1. G. Wang, L. Zhang, and J. Zhang, Chem. Soc. Rev. 41, 797 (2012).
2. C. Liu, Z. Yu, D. Neff, A. Zhamu, and B. Z. Jang, Nano Lett. 10, 4863 (2010).
3. M. Epifani, T. Chávez-Capilla, T. Andreu, J. Arbiol, J. Palma, J. R. Morante, and R. Díaz, Energy Environ. Sci. 5, 7555 (2012).
4. K. Fic, G. Lota, M. Meller, and E. Frackowiak, Energy Environ. Sci. 5, 5842 (2012).
5. C. Du, J. Yeh, and N. Pan, Nanotechnology 16, 350 (2005).
6. C. Niu, E. K. Sichel, R. Hoch, D. Moy, and H. Tennent, Appl. Phys. Lett. 70, 1480 (1997).
7. C. Emmenegger, P. Mauron, P. Sudan, P. Wenger, V. Hermann, R. Gallay, and A. Züttel, J. Power Sources 124, 321 (2003).
8. L. Basiricò and G. Lanzara, Nanotechnology 23, 305401 (2012).
9. A. Lewandowski and M. Galinski, J. Power Sources 173, 822 (2007).
10. L. L. Zhang and X. S. Zhao, Chem. Soc. Rev. 38, 2520 (2009).
11. R. Kötz and M. Carlen, Electrochimica Acta 45, 2483 (2000).
12. Y. J. Kim, C.-M. Yang, K. C. Park, K. Kaneko, Y. A. Kim, M. Noguchi, T. Fujino, S. Oyama, and M. Endo, ChemSusChem 5, 535 (2012).
13. T. Kim, G. Jung, S. Yoo, K. S. Suh, and R. S. Ruoff, ACS Nano 7, 6899 (2013).
14. J. Hu, Z. Kang, F. Li, and X. Huang, Carbon 67, 221 (2014).
15. Y. Tao, X. Xie, W. Lv, D.-M. Tang, D. Kong, Z. Huang, H. Nishihara, T. Ishii, B. Li, D. Golberg, F. Kang, T. Kyotani, and Q.-H. Yang, Sci. Rep. 3, (2013).
16. X. Yang, C. Cheng, Y. Wang, L. Qiu, and D. Li, Science 341, 534 (2013).
17. M. D. Merrill, E. Montalvo, P. G. Campbell, Y. M. Wang, M. Stadermann, T. F. Baumann, J. Biener, and M. A. Worsley, RSC Adv. 4, 42942 (2014).
18. I. S. Ike, I. Sigalas, and S. E. Iyuke, Phys. Chem. Chem. Phys. 18, 28626 (2016).