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434                                                    Carraher’s Polymer Chemistry




                                                                                         Zigzag
                    (0, 0)
                                                                                         (n,0)


                                                                       Chiral
                                                   h
                                                  C
                                                                        Angle
                                                                                     30°


                                                                           (n, m)
                                  a 1


                              a 2


                                                                                        Armchair
                                                                                        (n, n)

                 FIGURE 12.10  Graphite sheet representation showing the θ or chiral angle. For a chiral angle of 0 , the
                                                                                             o

                                                                                            o
                 structure is a zigzag; for 30  it is an armchair; and in between it is helical. The figure is drawn with a 30  angle
                                     o
                 between the zigzag and armchair.



                       (a)








                       (b)








                       (c)









                 FIGURE 12.11  Representations of the three major structural forms of carbon nanotubes: armchair (a), zig-
                 zag (b), and helical (c) and of C 60  (left, a), C 70  (left, b), and C 80  (left, c) fullerene structures.









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