ABSTRACT

Creating a seamless cylinder from a graphene sheet can be done in three ways, each resulting in a tube that is said to have a distinct chirality or helicityȋ•‡‡ ‹‰—”‡ͳǤͶȌǤŠ‡…Š‹”ƒŽ‹–›‘ˆƒ•’‡…‹ϐ‹… ȋ™Š‹…Š…‘—Ž†„‡ƒ•‹‰Ž‡•Š‡ŽŽ‘ˆƒƒ•™‡ŽŽȌ‹•†‡•…”‹„‡†„›–Š‡ …Š‹”ƒŽ‘”Dz”‘ŽŽǦ—’dz˜‡…–‘”CkǤŠ‹•˜‡…–‘”‹•†‡ϐ‹‡†ƒ•–Š‡•—ƒ–‹‘ of multiples of the unit vector cells a1 and a2 given in Equation 1.1.