Influence of the screening effect on the frequency dependence of the electrical conductivity of a composite material based on carbon nanotubes
Keywords:
carbon nanotubes, composite materials, microwave and terahertz conductivityAbstract
In the terahertz and microwave ranges, the frequency dependence of the electrical conductivity of a thin film and polymer composite materials comprising single-walled carbon nanotubes (CNT) is measured. It is shown that frequency dependence of the conductivity is weaker for the CNT film than for composite materials in the range 30.0 GHz – 1.5 THz. The conductivity of polymer composite material increases by two times as the weight fraction of CNTs increases by 10 times (from 0.1 to 1.0 %). We calculated the effective conductivity of the composite materials comprising CNTs non-interacting with each other. To describe the electromagnetic response of CNT agglomerates, we model them as spherical nanoparticles having the same permittivity as the CNT film. It is substantiated that the main effect determining the frequency dependence of real composites is a field screening in both individual nanotubes and their agglomerates. The aggregation effect diminishes strongly the conductivity of composite materials resulting in its slight variation at a manifold increase of the weight fraction of the inclusions.
References
- Slepyan G. Y., Maksimenko S. A., Lakhtakia A., et al. Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions, and surface wave propagation. Phys. Rev. B. 1999. Vol. 60, issue 24. P. 17136–17149. DOI: 10.1103/ PhysRevB.60.17136.
- Maksimenko S. A., Slepyan G. Ya. Electromagnetic fields in unconventional materials and structures. New York : Wiley, 2000. P. 217–255.
- Hanson G. Fundamental transmitting properties of carbon nanotube antennas. IEEE Trans. Antenn. Propagat. 2005. Vol. 53, issue 11. P. 3426–3435. DOI: 10.1109/TAP.2005.858865.
- Slepyan G.Ya., Shuba M. V., Maksimenko S. A., et al. Theory of optical scattering by achiral carbon nanotubes and their potential as optical nanoantennas. Phys. Rev. B. 2006. Vol. 73, issue 19. Article ID: 195416. DOI: 10.1103/PhysRevB.73.195416.
- Shuba M. V., Melnikov A. V., Paddubskaya A. V., et al. The role of finite size effects in the microwave and sub-terahertz electromagnetic response of multiwall carbon nanotube based composite: theory and interpretation of experiment. Phys. Rev. B. 2013. Vol. 88, issue 4. Article ID: 045436. DOI: 10.1103/PhysRevB.88.045436.
- Shuba M. V., Slepyan G. Y., Maksimenko S. A., et al. Radiofrequency field absorption by carbon nanotubes embedded in a conductive host. J. Appl. Phys. 2010. Vol. 108, issue 11. Article ID: 114302. DOI: 10.1063/1.3516480.
- Reich S., Thomsen C., Maultzsch J. Carbon Nanotubes: Basic Concepts and Physical Properties. New York : Wiley, 2004. DOI: 10.1002/9783527618040.
- Shuba M. V., Paddubskaya A. G., Kuzhir P. P., et al. Experimental evidence of localized plasmon resonance in composite materials containing single-wall carbon nanotubes. Phys. Rev. B. 2012. Vol. 85, issue 16. Article ID: 165435. DOI: 10.1103/PhysRevB.85.165435.
- Shuba M. V., Paddubskaya A. G., Kuzhir P. P., et al. Observation of the microwave near-field enhancement effect in suspensions comprising single-walled carbon nanotubes. Mater. Res. Express. 2017. Vol. 4, No. 7. Article ID: 075033. DOI: 10.1088/20531591/aa78e1.
- Andreev A. S., Kazakova М. A., Ishchenko A. V., et al. Magnetic and dielectric properties of carbon nanotubes with embedded cobalt nanoparticles. Carbon. 2017. Vol. 114. P. 39–49. DOI: 10.1016/j.carbon.2016.11.070.
- Almond D. P., West A. R. Impedance and modulus spectroscopy of «real» dispersive conductors. Solid State Ion. 1983. Vol. 11. P. 57–64. DOI: 10.1016/0167-2738(83)90063-2.
- Potschke P., Dudkin S. M., Alig I. Dielectric spectroscopy on melt processed polycarbonated multiwalled carbon nanotube composites. Polymer. 2003. Vol. 44. P. 5023–5030. DOI: 10.1016/S0032-3861(03)00451-8.
- Slepyan G. Y., Shuba M. V., Maksimenko S. A., et al. Terahertz conductivity peak in composite materials containing carbon nanotubes: Theory and interpretation of experiment. Phys. Rev. B. 2010. Vol. 81, issue 20. Article ID: 205423. DOI: 10.1103/PhysRevB.81.205423.
- Shuba M. V., Paddubskaya A., Kuzhir P. P., et al. Short-length carbon nanotubes as building blocks for high dielectric constant materials in the terahertz range. J. Phys. D. 2017. Vol. 50, No. 8. Article ID: 08LT01. DOI: 10.1088/1361-6463/aa5628.
- Kazakova M. A., Kuznetsov V. L., Semikolenova N. V., et al. Comparative study of multiwalled carbon nanotube/polyethylene composites produced via different techniques. Phys. Stat. Sol. B. 2014. Vol. 251, issue 12. P. 2437–2443. DOI: 10.1002/pssb.201451194.
- Kranauskaite I., Macutkevic J., Banys J., et al. Length-dependent broadband electric properties of PMMA composites filled with carbon nanotubes. Phys. Stat. Sol. A. 2016. Vol. 213, issue 4. P. 1025–1033. DOI: 10.1002/pssa.201532289.
- Gavrilov N., Okotrub A., Bulusheva L., et al. Dielectric properties of polystyrene/onion-like carb on composites in frequency range of 0.5–500 kHz. Compos. Sci. Technol. 2010. Vol. 70, No. 5. P. 719–724. DOI: 10.1016/j.compscitech.2009.12.026.
- Standard test method for measuring relative complex permittivity and relative magnetic permeability of solid materials at micro wave frequencies : An American National Standard, designation D5568-08. 2009.
- Chung B. K. Dielectric constant measurement for thin material at microwave frequencies. Prog. Electromagn. Res. 2007. Vol. 75. P. 239–252. DOI: 10.2528/PIER07052801.
- Akima N., Iwasa Y., Brown S., et al. Strong anisotropy in the far-infrared absorption spectra of stretch-aligned single-walled carbon nanotubes. Adv. Mater. 2006. Vol. 18, issue 9. P. 1166–1169. DOI: 10.1002/adma.200502505.
Downloads
Published
Issue
Section
License
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)












