Three-Dimensional Representation of Curved Nanostructures


Nanostructures, such as nanowires, nanotubes, and nanocoils, can be described in many cases as quasi one-dimensional (1D) curved objects projecting in three-dimensional (3D) space. A parallax method to reconstruct the correct three-dimensional geometry of such 1D nanostructures is presented. A series of images were acquired at different view angles, and from those image pairs, 3D representations were constructed using a MATLAB program. Error analysis as a function of view-angle between the two images is discussed. As an example application, we demonstrate the importance of knowing the true 3D shape of Boron nanowires. Without precise knowledge of the nanowire's dimensions, diameter and length, mechanical resonance data cannot be properly fit to obtain an accurate estimate of the Young's modulus.

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  1. 1.

    M.M.J. Treacy, T.W. Ebbesen and J.M. Gibson, Nature, 381, 678 (1996).

    CAS  Article  Google Scholar 

  2. 2.

    P. Poncharal, Z.L. Wang, D. Ugarte and W.A. de Heer, Science, 283, 1513 (1999).

    CAS  Article  Google Scholar 

  3. 3.

    M-F Yu, G.J. Wagner, R.S. Ruoff and M.J. Dyer, Phys. Rev. B, 66, 073406 (1-4) (2002).

    Article  Google Scholar 

  4. 4.

    D.A. Dikin, X. Chen, W. Ding, G. Wagner and R.S. Ruoff, J. Appl. Phys., 93, 226 (2003).

    CAS  Article  Google Scholar 

  5. 5.

    A. Boyde, J. Microsc. 98, 452 (1973).

    Article  Google Scholar 

  6. 6.

    J.T.L. Thong and B.C. Breton, Rev. Sci. Instrum. 63(1), 131 (1992)

    Article  Google Scholar 

  7. 7.

    L.R.O. Hein, F.A. Silva, A.M.M. Nazar and J.J. Amann, Scanning, 21, 253 (1999).

    CAS  Article  Google Scholar 

  8. 8.

    Y. Cheng, C.A. Hartemink, J.H. Hartwig and C.F. Dewey, J. Biomech., 33, 105 (2000).

    CAS  Article  Google Scholar 

  9. 9.

    L.R.O. Hein, J. Microsc., 204, 17 (2001).

    CAS  Article  Google Scholar 

  10. 10.

    R. Hartley and A. Zisserman, Multiple view geometry in computer vision, (Cambridge University Press, 2000) p. 607.

    Google Scholar 

  11. 11.

    C.J. Henri, and T.M. Peter, Med. Phys., 23(2), 197 (1996).

    CAS  Article  Google Scholar 

  12. 12.

    E. Bullitt, A. Liu and S.M. Pizer, Med. Phys., 24(11), 1671 (1997).

    CAS  Article  Google Scholar 

  13. 13.

    D.A. Dikin, Z. Huang and R.S. Ruoff, submitted to Rev. Sci. Instrum. (2004)

  14. 14.

    Y. Fridman, S.M. Pizer, S. Aylward and E. Bullitt in Medical Image Computing and Computer-Assisted Intervention, (MICCAI 2003 Proc., Montréal, Canada) pp. 570–577.

    Google Scholar 

Download references


Funding for this work has been provided by the National Science Foundation (NIRT Program, Grant No. 0304506, Dr. Ken P. Chong, Program Director), and from the NASA University Research, Engineering and Technology Institute on Bio Inspired Materials (BIMat) under award No. NCC-1-02037. We appreciate sample preparation by X. Chen, comments by E. Zimney and K. Kohlhaas, and thank L. R. O. Hein for providing NIH Image Macro Tools and valuable advice.

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Correspondence to Z. Huang.

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Huang, Z., Dikin, D., Ding, W. et al. Three-Dimensional Representation of Curved Nanostructures. MRS Online Proceedings Library 820, 370–377 (2004).

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