English

On the edge energy of graphene

Materials Science 2018-01-15 v1

Abstract

Surface/edge energy is typically modeled as a continuous function of orientation, γ(n)\gamma({\bf n}). We put forward a simple geometric argument that suggests this picture is inadequate for crystals with a non-Bravais lattice structure. In the case of the idealized graphene/hexagonal lattice, our arguments indicate that the edge energy can be viewed as both discontinuous and multi-valued for a subset of orientations that are commensurate with the crystal structure.

Keywords

Cite

@article{arxiv.1801.04192,
  title  = {On the edge energy of graphene},
  author = {Tim Krumwiede and Tim Schulze},
  journal= {arXiv preprint arXiv:1801.04192},
  year   = {2018}
}