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Mathematical Analysis in Characterization of Carbon Nanotubes (CNTs) as possible Mosquito Repellents

In: Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference, Hybrid Conference, Opatija, Croatia, 17-18 June 2022

Author

Listed:
  • Andonovic, Viktor
  • Kovaci Azemi, Mimoza
  • Andonovic, Beti
  • Dimitrov, Aleksandar

Abstract

Mosquitoes are a great threat to human health to date and are a subject of interdisciplinary research involving scientists from many areas. Recently much attention has been put to novel approaches to mosquito repellent products that involve the use of novel materials, such as carbon nanomaterials, where it is essential to determine their properties. This research discusses the full molecular characterization of carbon nanotubes (CNTs) produced by electrolysis in molten salts. Each CNT has its mathematical representation due to its hexagonal lattice structure. Multi-wall carbon nanotubes (MWCNTs) are considered. The focus is on determining their structural parameters: innermost and outermost diameters, chiral indices m and n, number of walls, and unit cell parameters. Corresponding frequency parts of Raman spectra of four experimentally produced CNTs are elaborated, and Python programming and Mathematica are employed for the most accurate (m,n) assignment. Determining the chirality of these samples enables the calculation of other structural properties, which are performed now, including their graph representation. The latter enables the evaluation of different distance-based topological indices (Wiener, Balaban, Sum-Balaban, Harary index, etc.) to predict some index-related properties of the molecules.

Suggested Citation

  • Andonovic, Viktor & Kovaci Azemi, Mimoza & Andonovic, Beti & Dimitrov, Aleksandar, 2022. "Mathematical Analysis in Characterization of Carbon Nanotubes (CNTs) as possible Mosquito Repellents," Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference (2022), Hybrid Conference, Opatija, Croatia, in: Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference, Hybrid Conference, Opatija, Croatia, 17-18 June 2022, pages 24-39, IRENET - Society for Advancing Innovation and Research in Economy, Zagreb.
    • Handle: RePEc:zbw:entr22:268312
    DOI: 10.54820/entrenova-2022-0004
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    References listed on IDEAS

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    1. Lu-Chang Qin & Xinluo Zhao & Kaori Hirahara & Yoshiyuki Miyamoto & Yoshinori Ando & Sumio Iijima, 2000. "The smallest carbon nanotube," Nature, Nature, vol. 408(6808), pages 50-50, November.
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      Keywords

      CNT; electrolysis; graphite; molten salts; topological indices; Python;
      All these keywords.

      JEL classification:

      • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
      • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
      • L61 - Industrial Organization - - Industry Studies: Manufacturing - - - Metals and Metal Products; Cement; Glass; Ceramics

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