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nanotube, and shows the gap A2 on the opposite edge of the strip where the atom A was before the cut. The parameter d is the approximate diameter of the rolled-up nanotube, and \alpha is the angle from u to w (the "chiral angle"). The vector w = A2-A1 is n*u + m*v where (n.m) = (2,2). This nanotube of the "armchair" type, and is mirror-symmetric. It is the narrowest armchair nanotube that could be created and would have a hollow space inside. It has twofold (180 degree) rotational symmetry about the tube axis.
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Diagram of a carbon nanotube conceptually cut lengthwise and unrolled on the plane, overaid on the hexagonal graphene lattice. The point A1 represents an atom A of the nanotube that was right on the cut (the dashed line through A1). The transversal blue arrow corresponds to a circumference of the
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Unrolled carbon nanotube of the (2,2) "armhair" type
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