Graphene, like a sheet of paper, folds under mechanical forces. The stability of folded graphene, however, depends on the folding direction and the resulted graphene stacking. Suspended graphene in liquids folds freely under random ultrasonic stimulations. We determined the structure of $\sim 100$ folded graphene edges by electron nanodiffraction. About $1/3$ are armchair and $1/3$ are zigzag. The results are explained by the energetics of graphene folding and atomic simulation. The zigzag edge has $AB$ stacking, while in the armchair edge, $AB$ stacking is achieved in some areas by a small twist.

• Received 24 October 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.166805