Diameter-dependent bending dynamics of single-walled carbon nanotubes in liquids

Nikta Fakhri, Dmitri A. Tsyboulski, Laurent Cognet, R. Bruce Weisman, and Matteo Pasquali
PNAS August 25, 2009 106 (34) 14219-14223; https://doi.org/10.1073/pnas.0904148106

  1. Edited by Harry L. Swinney, University of Texas, Austin, TX, and approved June 30, 2009 (received for review April 15, 2009)

Abstract

By relating nanotechnology to soft condensed matter, understanding the mechanics and dynamics of single-walled carbon nanotubes (SWCNTs) in fluids is crucial for both fundamental and applied science. Here, we study the Brownian bending dynamics of individual chirality-assigned SWCNTs in water by fluorescence microscopy. The bending stiffness scales as the cube of the nanotube diameter and the shape relaxation times agree with the semiflexible chain model. This suggests that SWCNTs may be the archetypal semiflexible filaments, highly suited to act as nanoprobes in complex fluids or biological systems.

Footnotes

  • 1To whom correspondence should be addressed. E-mail: mp{at}rice.edu

  • Author contributions: N.F., D.A.T., L.C., R.B.W., and M.P. designed research; N.F., D.A.T., and L.C. performed research; N.F., D.A.T., and L.C. analyzed data; and N.F., D.A.T., L.C., R.B.W., and M.P. wrote the paper.

  • The authors declare no conflict of interest.

  • This article is a PNAS Direct Submission.

  • This article contains supporting information online at www.pnas.org/cgi/content/full/0904148106/DCSupplemental.

References

  1. ↵
    1. Polizu S,
    2. Savadogo O,
    3. Poulin P,
    4. Yahia L
    (2006) Applications of carbon nanotubes-based biomaterials in biomedical nanotechnology. J Nanosci Nanotechnol 6:1883–1904.
    OpenUrlCrossRefPubMed
  2. ↵
    1. Baughman RH,
    2. Zakhidov AA,
    3. de Heer WA
    (2002) Carbon nanotubes—The route toward applications. Science 297:787–792.
    OpenUrlAbstract/FREE Full Text
  3. ↵
    1. Doi M,
    2. Edwards SF
    (1986) The Theory of Polymer Dynamics (Oxford Univ Press, Oxford).
  4. ↵
    1. Geblinger N,
    2. Ismach A,
    3. Joselevich E
    (2008) Self-organized nanotube serpentines. Nat Nanotechnol 3:195–200.
    OpenUrlCrossRefPubMed
  5. ↵
    1. Davis VA,
    2. et al.
    (2004) Phase behavior and rheology of SWNTs in superacids. Macromolecules 37:154–160.
    OpenUrlCrossRef
  6. ↵
    1. Ajayan PM,
    2. Tour JM
    (2007) Materials science—Nanotube composites. Nature 447:1066–1068.
    OpenUrlCrossRefPubMed
  7. ↵
    1. Kumar S,
    2. et al.
    (2002) Synthesis, structure, and properties of PBO/SWNT composites. Macromolecules 35:9039–9043.
    OpenUrlCrossRef
  8. ↵
    1. Sano M,
    2. Kamino A,
    3. Okamura J,
    4. Shinkai S
    (2001) Ring closure of carbon nanotubes. Science 293:1299–1301.
    OpenUrlAbstract/FREE Full Text
  9. ↵
    1. Zhou W,
    2. et al.
    (2004) Small angle neutron scattering from single-wall carbon nanotube suspensions: Evidence for isolated rigid rods and rod networks. Chem Phys Lett 384:185–189.
    OpenUrlCrossRef
  10. ↵
    1. Schaefer DW,
    2. Zhao J,
    3. Brown JM,
    4. Anderson DP,
    5. Tomlin DW
    (2003) Morphology of dispersed carbon single-walled nanotubes. Chem Phys Lett 375:369–375.
    OpenUrlCrossRef
  11. ↵
    1. Duggal R,
    2. Pasquali M
    (2006) Dynamics of individual single-walled carbon nanotubes in water by real-time visualization. Phys Rev Lett 96:246104.
    OpenUrlCrossRefPubMed
  12. ↵
    1. Kudin KN,
    2. Scuseria GE,
    3. Yakobson BI
    (2001) C2F, BN, and C nanoshell elasticity from ab initio computations. Phys Rev B 64:235406.
    OpenUrlCrossRef
  13. ↵
    1. Yakobson BI,
    2. Couchman LS
    (2006) Persistence length and nanomechanics of random bundles of nanotubes. J Nanoparticle Res 8:105–110.
    OpenUrlCrossRef
  14. ↵
    1. Yakobson BI,
    2. Avouris P
    (2001) Mechanical properties of carbon nanotubes. Carbon nanotubes. Top Appl Phys 80:287–327.
    OpenUrlCrossRef
  15. ↵
    1. Brangwynne CP,
    2. et al.
    (2007) Bending dynamics of fluctuating biopolymers probed by automated high-resolution filament tracking. Biophys J 93:346–359.
    OpenUrlCrossRefPubMed
  16. ↵
    1. Gittes F,
    2. Mickey B,
    3. Nettleton J,
    4. Howard J
    (1993) Flexural rigidity of microtubules and actin-filaments measured from thermal fluctuations in shape. J Cell Biol 120:923–934.
    OpenUrlAbstract/FREE Full Text
  17. ↵
    1. Janson ME,
    2. Dogterom M
    (2004) A bending mode analysis for growing microtubules: Evidence for a velocity-dependent rigidity. Biophys J 87:2723–2736.
    OpenUrlCrossRefPubMed
  18. ↵
    1. Ott A,
    2. Magnasco M,
    3. Simon A,
    4. Libchaber A
    (1993) Measurement of the persistence length of polymerized actin using fluorescence microscopy. Phys Rev E 48:R1642–R1645.
    OpenUrlCrossRef
  19. ↵
    1. Tsyboulski DA,
    2. Bachilo SM,
    3. Weisman RB
    (2005) Versatile visualization of individual single-walled carbon nanotubes with near-infrared fluorescence microscopy. Nano Lett 5:975–979.
    OpenUrlCrossRefPubMed
  20. ↵
    1. Tsyboulski DA,
    2. Rocha JDR,
    3. Bachilo SM,
    4. Cognet L,
    5. Weisman RB
    (2007) Structure-dependent fluorescence efficiencies of individual single-walled carbon nanotubes. Nano Lett 7:3080–3085.
    OpenUrlCrossRefPubMed
  21. ↵
    1. Bachilo SM,
    2. et al.
    (2002) Structure-assigned optical spectra of single-walled carbon nanotubes. Science 298:2361–2366.
    OpenUrlAbstract/FREE Full Text
  22. ↵
    1. Aragon SR,
    2. Pecora R
    (1985) Dynamics of wormlike chains. Macromolecules 18:1868–1875.
    OpenUrlCrossRef
  23. ↵
    1. Odijk T
    (1977) Polyelectrolytes near the rod limit. J Polymer Sci B 15:477–483.
    OpenUrl
  24. ↵
    1. Skolnick J,
    2. Fixman M
    (1977) Electrostatic persistence length of a wormlike polyelectrolyte. Macromolecules 10:944–948.
    OpenUrlCrossRef
  25. ↵
    1. Gittes F,
    2. MacKintosh FC
    (1998) Dynamic shear modulus of a semiflexible polymer network. Phys Rev E 58:R1241–R1244.
    OpenUrlCrossRef
  26. ↵
    1. Morse DC
    (1998) Viscoelasticity of tightly entangled solutions of semiflexible polymers. Phys Rev E 58:R1237–R1240.
    OpenUrlCrossRef
  27. ↵
    1. Pasquali M,
    2. Shankar V,
    3. Morse DC
    (2001) Viscoelasticity of dilute solutions of semiflexible polymers. Phys Rev E 64:020802.
  28. ↵
    1. Shankar V,
    2. Pasquali M,
    3. Morse DC
    (2002) Theory of linear viscoelasticity of semiflexible rods in dilute solution. J Rheol 46:1111–1154.
    OpenUrlCrossRef
  29. ↵
    1. Claessens MMAE,
    2. Bathe M,
    3. Frey E,
    4. Bausch AR
    (2006) Actin-binding proteins sensitively mediate F-actin bundle stiffness. Nat Mater 5:748–753.
    OpenUrlCrossRefPubMed
  30. ↵
    1. Behabtu N,
    2. Green MJ,
    3. Pasquali M
    (2008) Carbon nanotube-based neat fibers. Nano Today 3:24–34.
    OpenUrlCrossRef
  31. ↵
    1. Motta M,
    2. Moisala A,
    3. Kinloch IA,
    4. Windle AH
    (2007) High performance fibres from ‘dog bone’ carbon nanotubes. Adv Mater 19:3721–3726.
    OpenUrlCrossRef
  32. ↵
    1. Elliott JA,
    2. Sandler JKW,
    3. Windle AH,
    4. Young RJ,
    5. Shaffer MSP
    (2004) Collapse of single-wall carbon nanotubes is diameter dependent. Phys Rev Lett 92:095501.
  33. ↵
    1. Kim UJ,
    2. Gutierrez HR,
    3. Kim JP,
    4. Eklund PC
    (2005) Effect of the tube diameter distribution on the high-temperature structural modification of bundled single-walled carbon nanotubes. J Phys Chem B 109:23358–23365.
    OpenUrlPubMed
  34. ↵
    1. Tsyboulski DA,
    2. Bachilo SM,
    3. Kolomeisky AB,
    4. Weisman RB
    (2008) Translational and rotational dynamics of individual single-walled carbon nanotubes in aqueous suspension. ACS Nano 2:1770–1776.
    OpenUrlCrossRefPubMed
  35. ↵
    1. Rai PK,
    2. et al.
    (2007) Dispersions of functionalized single-walled carbon nanotubes in strong acids: Solubility and rheology. J Nanosci Nanotechnol 7:3378–3385.
    OpenUrlCrossRefPubMed
  36. ↵
    1. Arnold MS,
    2. Stupp SI,
    3. Hersam MC
    (2005) Enrichment of single-walled carbon nanotubes by diameter in density gradients. Nano Lett 5:713–718.
    OpenUrlCrossRefPubMed
  37. ↵
    1. Odijk T
    (1983) On the statistics and dynamics of confined or entangled stiff polymers. Macromolecules 16:1340–1344.
    OpenUrlCrossRef
  38. ↵
    1. Li GL,
    2. Tang JX
    (2004) Diffusion of actin filaments within a thin layer between two walls. Phys Rev E 69:061921.
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Diameter-dependent bending dynamics of single-walled carbon nanotubes in liquids
Nikta Fakhri, Dmitri A. Tsyboulski, Laurent Cognet, R. Bruce Weisman, Matteo Pasquali
Proceedings of the National Academy of Sciences Aug 2009, 106 (34) 14219-14223; DOI: 10.1073/pnas.0904148106
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