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.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
M.M.J. Treacy, T.W. Ebbesen and J.M. Gibson, Nature, 381, 678 (1996).
P. Poncharal, Z.L. Wang, D. Ugarte and W.A. de Heer, Science, 283, 1513 (1999).
M-F Yu, G.J. Wagner, R.S. Ruoff and M.J. Dyer, Phys. Rev. B, 66, 073406 (1-4) (2002).
D.A. Dikin, X. Chen, W. Ding, G. Wagner and R.S. Ruoff, J. Appl. Phys., 93, 226 (2003).
A. Boyde, J. Microsc. 98, 452 (1973).
J.T.L. Thong and B.C. Breton, Rev. Sci. Instrum. 63(1), 131 (1992)
L.R.O. Hein, F.A. Silva, A.M.M. Nazar and J.J. Amann, Scanning, 21, 253 (1999).
Y. Cheng, C.A. Hartemink, J.H. Hartwig and C.F. Dewey, J. Biomech., 33, 105 (2000).
L.R.O. Hein, J. Microsc., 204, 17 (2001).
R. Hartley and A. Zisserman, Multiple view geometry in computer vision, (Cambridge University Press, 2000) p. 607.
C.J. Henri, and T.M. Peter, Med. Phys., 23(2), 197 (1996).
E. Bullitt, A. Liu and S.M. Pizer, Med. Phys., 24(11), 1671 (1997).
D.A. Dikin, Z. Huang and R.S. Ruoff, submitted to Rev. Sci. Instrum. (2004)
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.
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.
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