Abstract
Recent studies have finally produced accurate measurements of the mechanical properties of carbon nanotubes, confirming the anticipated results computed from quantum and molecular mechanics. Several studies have also predicted an enhancement of these material properties as a result of electron irradiation. Here we prove conclusively through a rigorous TEM imaging study that this enhancement occurs as a result of multiple-shell load transfer through irradiation-induced crosslinks. Using a computational model of the system which mirrors the experimental setup, we show that intershell covalent crosslinks resulting from the irradiation are efficient atomic structures for inter-shell load transfer. A study of the correlation between number of defects and load transfer provides insight into the experimental results and quantifies the increase in load transfer with radiation dose. The combined experimental/computational approach therefore gives a complete understanding of the phenomenon and provides the means for tailoring the mechanical properties of 1-D nanostructures.
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Notes
CNTs used for this experiment had to be long enough to span the gap between the MEMS device testing shuttles, and had to be free of kinks, curves, branches, and other anomalies.
References
Peng B, Locascio M, Zapol P, Li S, Mielke SL, Schatz GC, Espinosa HD (2008) Measurements of near-ultimate strength for multiwalled carbon nanotubes and irradiation-induced crosslinking improvements. Nat Nanotechnol 310:626–631. doi:10.1038/nnano.2008.211.
Krishnan A, Dujardin E, Ebbesen TW, Yianilos PN, Treacy MMJ (1998) Young’s modulus of single-walled nanotubes. Phys Rev B Condens Matter Mater Phys 5820:14013–14019. doi:10.1103/PhysRevB.58.14013.
Haskins RW, Maier RS, Ebeling RM, Marsh CP, Majure DL, Bednar AJ, Welch CR, Barker BC (2007) Tight-binding molecular dynamics study of the role of defects on carbon nanotube moduli and failure. J Chem Phys 1277:074708. doi:10.1063/1.2756832.
Charlier JC, Blase X, Roche S (2007) Electronic and transport properties of nanotubes. Rev Mod Phys 792:677–732. doi:10.1103/RevModPhys.79.677.
Li XD, Gao HS, Scrivens WA, Fei DL, Xu XY, Sutton MA, Reynolds AP, Myrick ML (2004) Nanomechanical characterization of single-walled carbon nanotube reinforced epoxy composites. Nanotechnology 1511:1416–1423. doi:10.1088/0957-4484/15/11/005.
Ke CH, Espinosa HD (2004) Feedback controlled nanocantilever device. Appl Phys Lett 854:681–683. doi:10.1063/1.1767606.
Choi WB, Chung DS, Kang JH, Kim HY, Jin YW, Han IT, Lee YH, Jung JE, Lee NS, Park GS, Kim JM (1999) Fully sealed, high-brightness carbon-nanotube field-emission display. Appl Phys Lett 7520:3129–3131. doi:10.1063/1.125253.
Sammalkorpi M, Krasheninnikov AV, Kuronen A, Nordlund K, Kaski K (2005) Irradiation-induced stiffening of carbon nanotube bundles. Nucl Instrum Methods Phys Res B Beam Interact Mater Atoms 228:142–145. doi:10.1016/j.nimb.2004.10.036.
Krasheninnikov AV, Banhart F (2007) Engineering of nanostructured carbon materials with electron or ion beams. Nat Mater 610:723–733. doi:10.1038/nmat1996.
Kis A, Csanyi G, Salvetat JP, Lee TN, Couteau E, Kulik AJ, Benoit W, Brugger J, Forro L (2004) Reinforcement of single-walled carbon nanotube bundles by intertube bridging. Nat Mater 33:153–157. doi:10.1038/nmat1076.
Espinosa HD, Zhu Y, Moldovan N (2007) Design and operation of a MEMS-based material testing system for nanomechanical characterization. J Microelectromech Syst 16:1219–1231.
Treacy MMJ, Ebbesen TW, Gibson JM (1996) Exceptionally high Young’s modulus observed for individual carbon nanotubes. Nature 3816584:678–680. doi:10.1038/381678a0.
Salvetat JP, Bonard JM, Thomson NH, Kulik AJ, Forro L, Benoit W, Zuppiroli L (1999) Mechanical properties of carbon nanotubes. Appl Phys A Mater Sci Process 693:255–260. doi:10.1007/s003390050999.
Yu MF, Lourie O, Dyer MJ, Moloni K, Kelly TF, Ruoff RS (2000) Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load. Science 2875453:637–640. doi:10.1126/science.287.5453.637.
Zhu Y, Moldovan N, Espinosa HD (2005) A microelectromechanical load sensor for in situ electron and X-ray microscopy tensile testing of nanostructures. Appl Phys Lett 861:013506. doi:10.1063/1.1844594.
Zhu Y, Espinosa HD (2005) An electromechanical material testing system for in situ electron microscopy and applications. Proc Natl Acad Sci U S A 10241:14503–14508. doi:10.1073/pnas.0506544102.
Espinosa HD, Zhu Y, Moldovan N (2007) Design and operation of a MEMS-based material testing system for in-situ electron microscopy testing of nanostructures. J Microelectromech Syst 165:1219–1231. doi:10.1109/JMEMS.2007.905739.
Pomoell JAV, Krasheninnikov AV, Nordlund K, Keinonen J (2004) Ion ranges and irradiation-induced defects in multiwalled carbon nanotubes. J Appl Phys 965:2864–2871. doi:10.1063/1.1776317.
Tersoff J (1988) Empirical interatomic potential for carbon, with applications to amorphous carbon. Phys Rev Lett 6125:2879. doi:10.1103/PhysRevLett.61.2879.
Tersoff J (1988) New empirical approach for the structure and energy of covalent systems. Phys Rev B Condens Matter Mater Phys 3712:6991–7000. doi:10.1103/PhysRevB.37.6991.
Khare R, Mielke SL, Paci JT, Zhang SL, Ballarini R, Schatz GC, Belytschko T (2007) Coupled quantum mechanical/molecular mechanical modeling of the fracture of defective carbon nanotubes and graphene sheets. Phys Rev B Condens Matter Mater Phys 757:075412. doi:10.1103/PhysRevB.75.075412.
Zhang S, Mielke SL, Khare R, Troya D, Ruoff RS, Schatz GC, Belytschko T (2005) Mechanics of defects in carbon nanotubes: atomistic and multiscale simulations. Phys Rev B Condens Matter Mater Phys 7111:115403. doi:10.1103/PhysRevB.71.115403.
Mielke SL, Belytschko T, Schatz GC (2007) Nanoscale fracture mechanics. Annu Rev Phys Chem 58:185–209. doi:10.1146/annurev.physchem.58.032806.104502.
Zhu Y, Corigliano A, Espinosa HD (2006) A thermal actuator for nanoscale in-situ microscopy testing: design and characterization. J Micromechanics Microengineering 162:242–253. doi:10.1088/0960-1317/16/2/008.
Belytschko T, Xiao SP, Schatz GC, Ruoff RS (2002) Atomistic simulations of nanotube fracture. Phys Rev B Condens Matter Mater Phys 6523:235430. doi:10.1103/PhysRevB.65.235430.
Barber AH, Andrews R, Schadler LS, Wagner HD (2005) On the tensile strength distribution of multiwalled carbon nanotubes. Appl Phys Lett 8720:203106. doi:10.1063/1.2130713.
Mielke SL, Troya D, Zhang S, Li JL, Xiao SP, Car R, Ruoff RS, Schatz GC, Belytschko T (2004) The role of vacancy defects and holes in the fracture of carbon nanotubes. Chem Phys Lett 3904–6:413–420. doi:10.1016/j.cplett.2004.04.054.
Smith BW, Luzzi DE (2001) Electron irradiation effects in single wall carbon nanotubes. J Appl Phys 907:3509–3515. doi:10.1063/1.1383020.
Endo M, Takeuchi K, Hiraoka T, Furuta T, Kasai T, Sun X, Kiang CH, Dresselhaus MS (1997) Stacking nature of graphene layers in carbon nanotubes and nanofibres. J Phys Chem Solids 5811:1707–1712. doi:10.1016/S0022-3697(97)00055-3.
Qin L-C (2006) Electron diffraction from carbon nanotubes. Rep Prog Phys 69:2761–2821. doi:10.1088/0034-4885/69/10/R02.
Huhtala M, Krasheninnikov AV, Aittoniemi J, Stuart SJ, Nordlund K, Kaski K (2004) Improved mechanical load transfer between shells of multiwalled carbon nanotubes. Phys Rev B Condens Matter Mater Phys 704:045404. doi:10.1103/PhysRevB.70.045404.
Salonen E, Krasheninnikov AV, Nordlund K (2002) Ion-irradiation-induced defects in bundles of carbon nanotubes. Nucl Instrum Methods Phys Res B Beam Interact Mater Atoms 193:603–608. doi:10.1016/S0168-583X(02)00861-3.
McKinley WA, Feshbach H (1948) The coulomb scattering of relativistic electrons by nuclei. Phys Rev 7412:1759–1763. doi:10.1103/PhysRev.74.1759.
Doggett JA, Spencer LV (1956) Elastic scattering of electrons and positrons by point nuclei. Phys Rev 1036:1597–1601. doi:10.1103/PhysRev.103.1597.
Bradley CR, Zaluzec NJ (1988) Atomic sputtering in the analytical electron microscope
Zobelli A, Gloter A, Ewels CP, Seifert G, Colliex C (2007) Electron knock-on cross section of carbon and boron nitride nanotubes. Phys Rev B 75(24): p. Art. No. 245402
Elstner M, Porezag D, Jungnickel G, Elsner J, Haugk M, Frauenheim T, Suhai S, Seifert G (1998) Self-consistent-charge density-functional tight-binding method for simulations of complex materials properties. Phys Rev B Condens Matter Mater Phys 5811:7260–7268. doi:10.1103/PhysRevB.58.7260.
Shenderova OA, Brenner DW, Omeltchenko A, Su X, Yang LH (2000) Atomistic modeling of the fracture of polycrystalline diamond. Phys Rev B Condens Matter Mater Phys 616:3877–3888. doi:10.1103/PhysRevB.61.3877.
Frauenheim T, Seifert G, Elstner M, Niehaus T, Kohler C, Amkreutz M, Sternberg M, Hajnal Z, Di Carlo A, Suhai S (2002) Atomistic simulations of complex materials: ground-state and excited-state properties. J Phys Condens Matter 1411:3015–3047. doi:10.1088/0953-8984/14/11/313.
Humphrey W, Dalke A, Schulten K (1996) VMD: visual molecular dynamics. J Mol Graph 141:33–38. doi:10.1016/0263-7855(96)00018-5.
Telling RH, Ewels CP, El Barbary AA, Heggie MI (2003) Wigner defects bridge the graphite gap. Nat Mater 25:333–337. doi:10.1038/nmat876.
Charlier J-C, Michenaud JP (1993) Energetics of multilayered carbon tubules. Phys Rev Lett 7012:1858–1861. doi:10.1103/PhysRevLett.70.1858.
Schabel MC, Martins JL (1992) Energetics of interplanar binding in graphite. Phys Rev B Condens Matter Mater Phys 4611:7185–7188. doi:10.1103/PhysRevB.46.7185.
Kolmogorov AN, Crespi VH (2000) Smoothest bearings: interlayer sliding in multiwalled carbon nanotubes. Phys Rev Lett 8522:4727–4730. doi:10.1103/PhysRevLett.85.4727.
Dumitrica T, Hua M, Yakobson BI (2006) Symmetry-, time-, and temperature-dependent strength of carbon nanotubes. Proc Natl Acad Sci U S A 10316:6105–6109. doi:10.1073/pnas.0600945103.
Dumitrica T, Belytschko T, Yakobson BI (2003) Bond-breaking bifurcation states in carbon nanotube fracture. J Chem Phys 11821:9485–9488. doi:10.1063/1.1577540.
Acknowledgements
HDE gratefully acknowledges the financial support for this work provided by the NSF through award CMMI 0555734, the US Army Research Office under grant W911NF-08-1-0061, and the ONR through awards N000140710905 and N000140810108. TB gratefully acknowledges the support of the US Army Research Office under grant W911NF-08-1-0212. The authors would also like to thank George Schatz and Steven Mielke for helpful discussions.
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Locascio and Peng contributed equally to the work.
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Locascio, M., Peng, B., Zapol, P. et al. Tailoring the Load Carrying Capacity of MWCNTs Through Inter-shell Atomic Bridging. Exp Mech 49, 169–182 (2009). https://doi.org/10.1007/s11340-008-9216-3
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DOI: https://doi.org/10.1007/s11340-008-9216-3