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ATOMIC TRANSFORMATIONS                                              375

             the resulting geometry the two ends bind together to form a small channel between the
             tubes, while the tips close in a partial hemisphere (Buongiorno Nardelli et a].,  1998~).
             The conductance of the final structure is shown in Fig.  14b. The small contact channel
             between the nanotubes enables electron transmission, although at a low level of conduc-
             tance (G(EF) % 0.6(2e2/h)). This result does not change significantly if a larger overlap
             region is considered, provided that a transmission channel is formed in the process. This
             observation is consistent with the experimental findings of Paulson et al. (1999).


             SUMMARY

               In summary, we have shown that in carbon nanotubes high-strain conditions can lead
             to a variety of  atomic transformations, often occumng via successive bond rotations.
             The bamer for the rotation is dramatically lowered by strain, and ab initio results for its
             strain dependence were presented. While very high strain rates must lead to breakage,
             (n,m) nanotubes with n,m < 14 can display plastic flow under suitable conditions. This
             occurs through the formation of a 5-7-7-5  defect, which then splits into two 5-7  pairs.
             The index of the nanotube changes between the 5-7  pairs, potentially leading to metal-
             semiconductor junctions. Such transformations can be realized via manipulations of the
             nanotube using an AFM tip. Carbon addimers can also induce structural transformations
             in  strained tubes, potentially leading to  the  formation of  quantum dots  in  otherwise
             brittle tubes.
               Defects and  strain can obviously affect the electrical properties of  nanotubes. We
             have computed quantum conductances of  strained, defective and deformed nanotubes.
             The results show that bent armchair nanotubes keep their metallic character for most
             practical purposes, even though  an opening of  a  small symmetry-related pseudo-gap
             is  predicted  in  small  diameter  (d  < 0.7  nm)  nanotubes.  Metallic  chiral  nanotubes
             undergo a bending-induced metal-semiconductor  transition that manifests itself in the
             occurrence of effective barriers for transmission, while bent zigzag nanotubes are always
             semiconducting for the diameters considered in this study (up to  1.5 nm). Topological
             defects  increase  the  resistance  of  metallic  nanotubes  to  an  extent  that  is  strongly
             dependent on their density per unit length.


             ACKNOWLEDGEMENTS

               This work was supported in part by grants from ONR and NASA. The computations
             were carried out at DoD, NSF and NC Supercomputing Centers.


             REFERENCES

             Anantran, M.P. and Govindan, T.R. (1998) Phys. Rev. B, 58: 4882.
             Bachtold,  A.,  Strunk, C., Salvetat, J.P.,  Bonnard, J.M., Forr6, L.,  Nussbaumer,  T.  and  Schonenberger.  C.
              (1 999) Nuture, 397: 673.
             Bernholc, J.,  Roland, C. and Yakobson, B.I.  (1997) Curr: Opin. Solid Stare Muter: Sci., 2: 706.
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