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How to Calculate Nanocapacitance

Received: 21 August 2016     Accepted: 29 August 2016     Published: 14 September 2016
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Abstract

Today, nano-sized capacitors are widely used for storage of electric energy. Consequently, it’s too important the knowing how to estimate their capacitance theoretically. This can’t be done based on the standard formula useful for macroscopic capacitors with bulk dielectric layers. There is proposed a new formula determining nanocapacitance from effective permittivity and effective thickness of the nanofilm dielectric placed between the nanocapacitor plate-electrodes. This formula explains how the capacitance of a nanocapacitor may significantly differ from its geometric value.

Published in American Journal of Nano Research and Applications (Volume 5, Issue 3-1)

This article belongs to the Special Issue Nanotechnologies

DOI 10.11648/j.nano.s.2017050301.13
Page(s) 9-12
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Electric Energy Storage, Nanocapacitor, Capacitance, Effective Permittivity, Effective Thickness

References
[1] S.R. Ekanayake, M. Ford, and M. Cortie, “Metal–insulator– metal (MIM) nanocapacitors and effects of material properties on their operation,” Mater. Forum, vol. 27, pp. 15–20, 2004.
[2] N. Engheta, A. Salandrino, and A. Alu, “Circuit elements at optical frequencies: Nanoinductors, nanocapacitors, and nanoresistors,” Phys. Rev. Lett., vol. 95, pp. 095504, 2005.
[3] J.I. Sohn, Y.-S. Kim, Ch. Nam, B.K. Cho, T.-Y. Seong, and S. Lee, “Fabrication of high-density arrays of individually isolated nanocapacitors using anodic aluminum oxide templates and carbonnanotubes,” Appl. Phys. Lett., vol. 87, pp. 123115, 2005.
[4] S.K. Saha, M. Da Silva, Q. Hang, T. Sands, and D.B. Janes, “A nanocapacitor with giant dielectric permittivity,” Nanotechnol., vol. 17, pp. 2284–2288, 2006.
[5] R. Montelongo, D. González, R. Bustos, and G. González, “Nanocapacitor with a Cantor multi-layered structure,” J. Mod. Phys., vol. 3, pp. 1013–1017, 2012.
[6] L.C. Haspert, S.B. Lee, and G.W. Rubloff, “Nanoengineering strategies for metal–insulator–metal electrostatic nano- capacitors,” ACS Nano, vol. 6, pp. 352836, 2012.
[7] Q. Li, Ch. Patel, and H. Ardebili, “Mitigating the dead-layer effect in nanocapacitors using graded dielectric films,” Int. J. Smart & Nano Mater., vol. 3, pp. 23–32. 2012.
[8] G. González, E.S. Kolosovas–Machuca, E. López–Luna, H. Hernández–Arriaga, and F.J. González, “Design and fabrication of interdigital nanocapacitors coated with HfO2,” Sensors, vol. 15, pp. 1998–2005, 2015.
[9] L. Wei, Q.-X. Liu, B. Zhu, W.-J. Liu, Sh.-J. Ding, H.-L. Lu, A. Jiang, and D.W. Zhang, “Low-cost and high-productivity three-dimensional nanocapacitors based on stand-up ZnO nanowires for energy storage,” Nanoscale Res. Lett., vol. 11, pp. 213, 2016.
[10] L. Chkhartishvili, “Nanoparticles near-surface electric field,” Nanoscale Res. Lett., vol. 11, pp. 48, 2016.
[11] M. Stengel and N.A. Spaldin, “Origin of the dielectric dead layer in nanoscale capacitors,” Nature, vol. 443, pp. 679–682, 2006.
[12] G. Shi, Y. Hanlumyuang, Zh. Liu, Y. Gong, W. Gao, B. Li, J. Kono, J. Lou, R. Vajtai, P. Sharma, and P.M. Ajayan, “Boron nitride–grapheme nanocapacitor and theorizing of anomalous size-dependent increase of capacitance,” Nano Lett., vol. 14, pp. 1739–1744, 2014.
[13] L. Chkhartishvili, A. Gachechiladze, O. Tsagareishvili, and D. Gabunia, “Capacitances built in nanostructures,” in Proc.18th Int. Metall. Mater. Cong., 2016 – in press.
Cite This Article
  • APA Style

    Levan Chkhartishvili, Manana Beridze, Shorena Dekanosidze, Ramaz Esiava, Ia Kalandadze, et al. (2016). How to Calculate Nanocapacitance. American Journal of Nano Research and Applications, 5(3-1), 9-12. https://doi.org/10.11648/j.nano.s.2017050301.13

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    ACS Style

    Levan Chkhartishvili; Manana Beridze; Shorena Dekanosidze; Ramaz Esiava; Ia Kalandadze, et al. How to Calculate Nanocapacitance. Am. J. Nano Res. Appl. 2016, 5(3-1), 9-12. doi: 10.11648/j.nano.s.2017050301.13

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    AMA Style

    Levan Chkhartishvili, Manana Beridze, Shorena Dekanosidze, Ramaz Esiava, Ia Kalandadze, et al. How to Calculate Nanocapacitance. Am J Nano Res Appl. 2016;5(3-1):9-12. doi: 10.11648/j.nano.s.2017050301.13

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  • @article{10.11648/j.nano.s.2017050301.13,
      author = {Levan Chkhartishvili and Manana Beridze and Shorena Dekanosidze and Ramaz Esiava and Ia Kalandadze and Nana Mamisashvili and Grisha Tabatadze},
      title = {How to Calculate Nanocapacitance},
      journal = {American Journal of Nano Research and Applications},
      volume = {5},
      number = {3-1},
      pages = {9-12},
      doi = {10.11648/j.nano.s.2017050301.13},
      url = {https://doi.org/10.11648/j.nano.s.2017050301.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.nano.s.2017050301.13},
      abstract = {Today, nano-sized capacitors are widely used for storage of electric energy. Consequently, it’s too important the knowing how to estimate their capacitance theoretically. This can’t be done based on the standard formula useful for macroscopic capacitors with bulk dielectric layers. There is proposed a new formula determining nanocapacitance from effective permittivity and effective thickness of the nanofilm dielectric placed between the nanocapacitor plate-electrodes. This formula explains how the capacitance of a nanocapacitor may significantly differ from its geometric value.},
     year = {2016}
    }
    

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    AU  - Levan Chkhartishvili
    AU  - Manana Beridze
    AU  - Shorena Dekanosidze
    AU  - Ramaz Esiava
    AU  - Ia Kalandadze
    AU  - Nana Mamisashvili
    AU  - Grisha Tabatadze
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    JF  - American Journal of Nano Research and Applications
    JO  - American Journal of Nano Research and Applications
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    UR  - https://doi.org/10.11648/j.nano.s.2017050301.13
    AB  - Today, nano-sized capacitors are widely used for storage of electric energy. Consequently, it’s too important the knowing how to estimate their capacitance theoretically. This can’t be done based on the standard formula useful for macroscopic capacitors with bulk dielectric layers. There is proposed a new formula determining nanocapacitance from effective permittivity and effective thickness of the nanofilm dielectric placed between the nanocapacitor plate-electrodes. This formula explains how the capacitance of a nanocapacitor may significantly differ from its geometric value.
    VL  - 5
    IS  - 3-1
    ER  - 

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Author Information
  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

  • Department of Engineering Physics, Georgian Technical University, Tbilisi, Georgia

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