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Theoretical Analysis of the Reactivity of Carbon Nanotubes: Local Versus Topological Effects

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Book cover Topological Modelling of Nanostructures and Extended Systems

Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 7))

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Abstract

In carbon materials the mobile π electrons are situated in topologically different circumstances at edge sites, and their π electronic states, essentially controlled by the network structure of sp 2 carbon, may be significantly affected. In this work, we derived topological indications about the reactivity of carbon nanotubes and fullerenes with the hydroxyl radical (OH), the most important oxidizing species in the troposphere. For each molecular structure, we computed the local softness, the Mulliken charges of the reacting carbons of (n,n) and (n,0) clusters, and their Huckel-type aromaticity rules, as an index to determine topologically independent sites and predicting a certain grade of reactivity of the nanotube and fullerenic carbon atoms. Using local softness, closely related to the energy gap, it was possible to separate the periodical nanotubes in three families according to their reactivity. A connection between the reactivity index ΔE and the topology was established by means of the Fukui integrated function. It resulted that for (n,0) clusters, odd n implies aromaticity, whereas even n, non-aromaticity; (n,n) clusters are in any case non-aromatic. For a better understanding of some experimental results, we also discussed how edge effects can influence topological reactivity due to the increment of the number of benzene rings in some cluster arrangements.

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References

  • Arrais A, Boccaleri E, Diana E (2004) Fullerenes Nanotubes Carbon Nanostruct 12:789–809

    Article  CAS  Google Scholar 

  • Becke AD (1996) J Chem Phys 104:1040–1046

    Article  CAS  Google Scholar 

  • Bellucci S, Onorato P (2005) Phys Rev B 71:1–8

    Google Scholar 

  • Chandra AK, Nguyen MT (2002) Int J Mol Sci 3:310–315

    Article  CAS  Google Scholar 

  • Chermette HJ (1999) J Comput Chem 20:129–154

    Article  CAS  Google Scholar 

  • Dovesi R, Saunders VR, Orlando R, Zicovich-Wilson CM, Pascale F, Civalleri B, Doll K, Bush IJ, D’Arco P, Lunell M (2010) Crystal 2009 user manual. Turin University, Turin. Saunders VR, Dovesi R, Roetti C, Causa M, Harrison NM, Orlando R, Zicovich-Wilson CM (1998) CRYSTAL98 user manual. Turin University, Turin

    Google Scholar 

  • Francl MM, Petro WJ, Hehre WJ, Binkley JS, Gordon MS, DeFrees DJ, Pople JAJ (1982) Chem Phys 77:3654

    CAS  Google Scholar 

  • Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Montgomery JA Jr, Vreven T, Kudin KN, Burant JC, Millam JM, Iyengar SS, Tomasi J, Barone V, Mennucci B, Cossi M, Scalmani G, Rega N, Petersson GA, Nakatsuji H, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Klene M, Li X, Knox JE, Hratchian HP, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Ayala PY, Morokuma K, Voth GA, Salvador P, Dannenberg JJ, Zakrzewski VG, Dapprich S, Daniels AD, Strain MC, Farkas O, Malick DK, Rabuck AD, Raghavachari K, Foresman JB, Ortiz JV, Cui Q, Baboul AG, Clifford S, Cioslowski J, Stefanov BB, Liu G, Liashenko A, Piskorz P, Komaromi I, Martin RL, Fox DJ, Keith T, Al-Laham MA, Peng CY, Nanayakkara A, Challacombe M, Gill PMW, Johnson B, Chen W, Wong MW, Gonzalez C, Pople JA (2004) Gaussian 03, revision C.02. Gaussian, Inc., Wallingford

    Google Scholar 

  • Gonzalez-Lafont A, Villa J, Lluch JM, Bertran J, Steckler R, Truhlar DG (1998) J Phys Chem A 102:3420–3428

    Article  CAS  Google Scholar 

  • Gülseren O, Yildirim T, Ciraci S (2002) Phys Rev B 65:153405–153410

    Article  Google Scholar 

  • Johnson BG, Gill PMW, Pople JA (1993) J Chem Phys 98:5612–5626

    Article  CAS  Google Scholar 

  • Kleiner A, Eggert S (2001) Phys Rev B 64:113402–113409

    Article  Google Scholar 

  • Maranzana A, Serra G, Giordana A, Tonachini G, Barco G, Causa M (2005) J Phys Chem A 109:10929–10939

    Article  CAS  Google Scholar 

  • Paritosh M, Kalyan KH, Ramesh C (2003) Phys Chem Commun 6:24–27

    Google Scholar 

  • Rioux F (1999) J Chem Educ 76:156–158

    Article  CAS  Google Scholar 

  • Saito R, Fujita M, Dresselhaus G, Dresselhaus MS (1992) Phys Rev B 46:1804–1811

    Article  CAS  Google Scholar 

  • Tasis D, Tagmatakis N, Bianco A, Prato M (2006) Chem Rev 105:1105–1122

    Article  Google Scholar 

  • White BCT, Mintmire JW (2005) J Phys Chem B 109:52–57

    Article  CAS  Google Scholar 

Download references

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Correspondence to Mauro Causa .

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Fusaro, M., Barone, V., Causa, M., D’Amore, M., Garzillo, C. (2013). Theoretical Analysis of the Reactivity of Carbon Nanotubes: Local Versus Topological Effects. In: Ashrafi, A., Cataldo, F., Iranmanesh, A., Ori, O. (eds) Topological Modelling of Nanostructures and Extended Systems. Carbon Materials: Chemistry and Physics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6413-2_11

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