Three-Dimensional Representation of Curved Nanostructures

MRS Online Proceedings Library volume 820, pages370–377(2004)Cite this article

Abstract

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.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

US$ 39.95

Tax calculation will be finalised during checkout.

References

  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

Acknowledgments

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.

Author information

Affiliations

  1. Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA

    Z. Huang, D.A. Dikin, W. Ding, Y. Qiao, Y. Fridman & R.S. Ruoff

  2. Department of Computer Science, University of North Carolina, Chapel Hill, NC, 27599, USA

    Y. Fridman

Authors
  1. Z. Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D.A. Dikin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. W. Ding
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Y. Qiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Y. Fridman
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. R.S. Ruoff
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Z. Huang.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Huang, Z., Dikin, D., Ding, W. et al. Three-Dimensional Representation of Curved Nanostructures. MRS Online Proceedings Library 820, 370–377 (2004). https://doi.org/10.1557/PROC-820-R8.4

Download citation