Abstract
We review two generic mechanisms of dispersion of carbon nanotubes in a low-viscosity solvent or high-viscosity polymer, focusing on the neat nanotubes not surface-functionalized in any way. We give estimates of the van der Waals energies involved in nanotube aggregates and examine two main techniques: ultrasonication and shear mixing. For ultrasonic dispersion methods, the local mechanical energy applied to individual tubes is high and bundle separation is assured in the cavitation regime. We analyze and estimate the tube scission during ultrasonic cavitation and predict the characteristic nanotube length L lim below which scission does not occur. For shear-mixing, our analysis suggests that dispersion is possible in non-parallel bundled nanotube aggregates, in high-viscosity polymers, once a critical mixing time t* is reached. We then examine characteristic features of nanotube-polymer composite rheology and its aging/stability against re-aggregation. We show that at nanotube loading above overlap concentration the tubes form an elastic network in the matrix. Physical junctions of this network are strong and stable enough to provide a rubber-like elastic response with very slow relaxation.
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Ahir SV, Terentjev EM, Lu SX, Panchapakesan B (2007) Thermal fluctuations, stress relaxation, and actuation in carbon nanotube networks. Phys Rev B 76:165437
Badaire S, Poulin P, Maugey M, Zakri C (2004) In situ measurements of nanotube dimensions in suspensions by depolarized dynamic light scattering. Langmuir 20:10367–10370
Baughman RH, Cui CX, Zakhidov AA, Iqbal Z, Barisci JN, Spinks GM, Wallace GG, Mazzoldi A, De Rossi D, Rinzler AG, Jaschinski O, Roth S, Kertesz M (1999) Carbon nanotube actuators. Science 284:1340–1343
Berhan L, Yi YB, Sastry AM, Munoz E, Selvidge M, Baughman RH (2004) Mechanical properties of nanotube sheets: alterations in joint morphology and achievable moduli in manufacturable materials. J Appl Phys 95:4335–4345
Birkin PR, Offin DG, Joseph PF, Leighton TG (2005) Cavitation, shock waves and the invasive nature of sonoelectrochemistry. J Phys Chem B 109:16997–17005
Chen GX, Li YJ, Shimizu H (2007) Ultrahigh-shear processing for the preparation of polymer/carbon nanotube composites. Carbon 45:2334–2340
de Gennes P-G, Prost J (1994) Physics of liquid crystals. Oxford University Press, Oxford
Du FM, Scogna RC, Zhou W, Brand S, Fischer JE, Winey KI (2004) Nanotube networks in polymer nanocomposites: rheology and electrical conductivity. Macromolecules 37:9048–9055
Fry D, Sintes T, Chakrabarti A, Sorensen CM (2002) Enhanced kinetics and free-volume universality in dense aggregating systems. Phys Rev Lett 89:148301
Gedanken A (2003) Sonochemistry and its application to nanochemistry. Curr Sci 85:1720–1722
Girifalco LA, Hodak M, Lee RS (2000) Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential. Phys Rev B 62:13104
Hennrich F, Krupke R, Arnold K, Stutz JAR, Lebedkin S, Koch T, Schimmel T, Kappes MM (2007) The mechanism of cavitation-induced scission of single-walled carbon nanotubes. J Phys Chem B 111:1932–1937
Hilding J, Grulke EA, Zhang ZG, Lockwood F (2003) Dispersion of carbon nanotubes in liquids. J Dispers Sci Technol 24:1–41
Hobbie EK (1998) Metastability and depletion-driven aggregation. Phys Rev Lett 81:3996–3999
Huang YY, Ahir SV, Terentjev EM (2006) Dispersion rheology of carbon nanotubes in a polymer matrix. Phys Rev B 73:125422
Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354:56
Islam MF, Alsayed AM, Dogic Z, Zhang J, Lubensky TC, Yodh AG (2004) Nematic nanotube gels. Phys Rev Lett 92:088303
Katoh R, Tasaka Y, Sekreta E, Yumura M, Ikazaki F, Kakudate Y, Fujiwara S (1999) Sonochemical production of a carbon nanotube. Ultrason Sonochem 6:185–187
Kharchenko SB, Douglas JF, Obrzut J, Grulke EA, Migler KB (2004) Flow-induced properties of nanotube-filled polymer materials. Nat Mater 3:564
Kinloch IA, Roberts SA, Windle AH (2002) A rheological study of concentrated aqueous nanotube dispersions. Polymer 43:7483–7491
Kuijpers MWA, Iedema PD, Kemmere MF, Keurentjes JTF (2004) The mechanism of cavitation-induced polymer scission; experimental and computational verification. Polymer 45:6461–6467
Lin-Gibson S, Schmidt G, Kim H, Han CC, Hobbie EK (2003) Shear-induced mesostructure in nanoplatelet-polymer networks. J Chem Phys 119:8080–8083
Lin-Gibson S, Pathak JA, Grulke EA, Wang H, Hobbie EK (2004) Elastic flow instability in nanotube suspensions. Phys Rev Lett 92:048302
Lohse D (2005) Sonoluminescence—cavitation hots up. Nature 434:33–34
Lu KL, Lago RM, Chen YK, Green MLH, Harris PJF, Tsang SC (1996) Mechanical damage of carbon nanotubes by ultrasound. Carbon 34:814-816
Martinez MT, Callejas MA, Benito AM, Cochet M, Seeger T, Anson A, Schreiber J, Gordon C, Marhic C, Chauvet O, Fierro JLG, Maser WK (2003) Sensitivity of single wall carbon nanotubes to oxidative processing: structural modification, intercalation and functionalisation. Carbon 41:2247–2256
Mohraz A, Moler DB, Ziff RM, Solomon MJ (2004) Effect of monomer geometry on the fractal structure of colloidal rod aggregates. Phys Rev Lett 92:155503
Moniruzzaman M, Winey KI (2006) Polymer nanocomposites containing carbon nanotubes. Macromolecules 39:5194–5205
Nguyen TQ, Liang OZ, Kausch HH (1997) Kinetics of ultrasonic and transient elongational flow degradation: a comparative study. Polymer 38:3783–3793
Paulusse JMJ, Sijbesma RP (2006) Ultrasound in polymer chemistry: revival of an established technique. J Polym Sci A 44:5445–5453
Persello J, Magnin A, Chang J, Piau JM, Cabane B (1994) Flow of colloidal aqueous silica dispersions. J Rheol 38:1845–1870
Pestman JM, Engberts JBFN, DeJong F (1994) Sonochemistry—theory and applications. Recl Trav Chim Pays-Bas 113:533–542
Potschke P, Fornes TD, Paul DR (2002) Rheological behavior of multiwalled carbon nanotube/polycarbonate composites. Polymer 43:3247–3255
Potschke P, Bhattacharyya AR, Janke A (2004) Melt mixing of polycarbonate with multiwalled carbon nanotubes: microscopic studies on the state of dispersion. Eur Polym J 40:137–148
Schmid CF, Klingenberg DJ (2000) Mechanical flocculation in flowing fiber suspensions. Phys Rev Lett 84:290–293
Shaffer MSP, Fan X, Windle AH (1998) Dispersion and packing of carbon nanotubes. Carbon 36:1603–1612
Shvartzman-Cohen R, Levi-Kalisman Y, Nativ-Roth E, Yerushalmi-Rozen R (2004a) Generic approach for disper sing single-walled carbon nanotubes: the strength of a weak interaction. Langmuir 20:6085–6088
Shvartzman-Cohen R, Nativ-Roth E, Baskaran E, Levi-Kalisman Y, Szleifer I, Yerushalmi-Rozen R (2004b) Selective dispersion of single-walled carbon nanotubes in the presence of polymers: the role of molecular and colloidal length scales. J Am Chem Soc 126:14850–14857
Song WH, Windle AH (2005) Isotropic-nematic phase transition of dispersions of multiwall carbon nanotubes. Macromolecules 38:6181–6188
Strano M, Moore VC, Miller MK, Allen M, Haroz E, Kittrell C, Hauge RH, Smalley RE (2003) The role of surfactant adsorption during ultrasonication in the dispersion of single-walled carbon nanotubes. J Nanosci Nanotechnol 3:81–86
Thess A, Lee R, Nikolaev P, Dai HJ, Petit P, Robert J, Xu CH, Lee YH, Kim SG, Rinzler AG, Colbert DT, Scuseria GE, Tomanek D, Fischer JE, Smalley RE (1996) Crystalline ropes of metallic carbon nanotubes. Science 273:483–487
Wang Y, Wu J, Wei F (2003) A treatment method to give separated multi-walled carbon nanotubes with high purity, high crystallization and a large aspect ratio. Carbon 41:2939–2948
Xing YC, Li L, Chusuei CC, Hull RV (2005) Sonochemical oxidation of multiwalled carbon nanotubes. Langmuir 21:4185–4190
Acknowledgements
Help and advise of O. Trushkevich, B. Panchapakesan, A. Ferrari and especially S.V. Ahir is gratefully appreciated. This work has been supported by EPSRC, ESA-ESTEC (18351/04) and The Gates Foundation.
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Huang, Y.Y., Terentjev, E.M. Dispersion and rheology of carbon nanotubes in polymers. Int J Mater Form 1, 63–74 (2008). https://doi.org/10.1007/s12289-008-0376-6
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DOI: https://doi.org/10.1007/s12289-008-0376-6