Finding the $V_2(555 − 777)$ Double Vacancy Defect in Graphene Using Rotational Symmetry
نویسندگان
1 The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Private Bag 3, P O WITS 2050, South Africa
2 AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
3 The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Private Bag 3, P O WITS 2050, South Africa
doi
10.22052/ijmc.2023.247422.1653چکیده
We use the underlying hexagonal structure of graphene to identify uniquely theposition pertaining to a divacancy defect of type $V_2(555 − 777)$. This is achieved byconsidering at most three closed path readings and the symmetry of the defective structure. We work in the corresponding rectangular model but still rely on the rotationalsymmetry of the original hexagonal grid. Our approach is purely mathematical andtherefore there is no need for imaging technologies.
