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2024 Vol.34, Issue 12 Preview Page

Research Paper

Calculation of Electronic Structures of Graphene Nanoflakes by Hückel Molecular Orbital Method: Exploration of the Shape, Size, and Edge Effects
Jaemin Jeong1
,
Woong Lee12†
1Department of Materials Convergence and System Engineering, Changwon National University, Changwon 51140, Republic of Korea
2School of Materials Science and Engineering, Changwon National University, Changwon 51140, Republic of Korea
†Corresponding author E-Mail : woonglee@changwon.ac.kr (W. Lee, Changwon Nat’l Univ.)
27 December 2024. pp. 620-632
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Abstract

The electronic structures of graphene nanoflakes (GNFs) were estimated for various shapes, sizes, symmetries, and edge configurations. The Hückel molecular orbital (HMO) method was employed as a convenient way of handling the variety of possible GNF structures, since its simplicity allows the rapid solution of large system problems, such as tailoring optoelectronic characteristics of molecule containing large number of carbon atoms. The HMO method yielded the electronic structures with respect to the energy state eigenvalues, with results comparable to those obtained by other approaches, such as the tight-binding method reported elsewhere. The analyses included the consideration of various types of edge configurations of 68 GNF systems grouped by their geometric shape, reflecting symmetry. It was inferred that GNFs in the small length scale regimes, below 1 nm, which are effectively small polycyclic aromatic hydrocarbon molecules, exhibit the optoelectronic characteristic of quantum dots. This is due to the widely spaced discrete energy states, together with large energy gaps between the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO). With increasing size this arrangement evolves into graphene-like ones, as revealed by the narrowing HOMO-LUMO gaps and decreasing energy differences between eigenstates. However, the changes in electronic structure are affected by the symmetries, which are related to the geometric shapes and edge configurations.

Keywords
graphene
nanostructure
electronic structure
molecular orbital theory
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Information
  • Publisher :Materials Research Society of Korea
  • Publisher(Ko) :한국재료학회
  • Journal Title :Korean Journal of Materials Research
  • Journal Title(Ko) :한국재료학회지
  • Volume : 34
  • No :12
  • Pages :620-632
  • Received Date : 2024-12-03
  • Revised Date : 2024-12-20
  • Accepted Date : 2024-12-20
  • DOI :https://doi.org/10.3740/MRSK.2024.34.12.620
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