Page 381 - Fiber Fracture
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ATOMIC TRANSFORMATIONS                                               363
                      z
                      Y
                      h
                      ;
                      S
                      w    0.0                           --
                      S
                      0
                      -=  -2.0
                      Q
                      E  -4.0
                      0       0       2        4        6       8       10
                      LL
                                              strain (%)
                    Fig. 4. Formation energy of the (5-7-7-5)   defect in the (5,5) tube at different strains.






                                                       I        I
                                                   Q- - a Classical MD
                                                   -ab      initio       -



                                                                         -

                                             --=.
                             -                    =.                     -
                         3.0                               -.
                      W                                a-
                                                                ‘8-  q
                         1 .o         I       t        I        I










              We  have investigated the energetics of  further bond rotations in the presence of  a
            pre-existing (5-7-7-5)  defect at various strains, mostly in the (10,lO) tube. The choice
            of this particular tube structure is due to the fact that (10,lO) tubes are the most abundant
            product in  the laser ablation apparatus (Thess et al.,  1997). However, the results are
            qualitatively valid for all armchair tubes. Fig. 7 shows the formation energies of  (1)  an
            octagonal defect at the preexisting (5-7-7-5)   defect as produced by  a further rotation
            of  a strictly azimuthal bond;  (2) the initial stage of  separation of the two dislocation
            cores (5-7)  and (7-3,  as produced by the rotation of the ‘shoulder’ bond in the (5-7)
            core. These results  show that the  separation of  the  dislocation cores  is  energetically
            favored over the formation of  a larger open ring structure for strains up to -6%.  The
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