Abstract
Carbon is one of the most versatile elements in the periodic table and is known to occur in various allotropic forms. It has been widely explored since the eighteenth century and its investigation in various forms has witnessed continuous growth thereafter. The effect of these advancements has guided numerous discoveries which have not only addressed several aspects of materials physics, but also their applications. The development of theoretical and computational tools accompanied by novel characterization techniques along with the ability to synthesize these reduced dimensionalities of the carbon family like fullerene, carbon nanotubes, graphene, carbon quantum dots, etc. has significantly improved the understanding of these nanostructures. The ability of computational and theoretical techniques to predict and provide insights into the structure and properties of systems plays a crucial part in substantiating experimental findings. Theoretical and computational modeling of various carbon nanostructures such as fullerene, carbon nanotubes, graphene, and carbon quantum dots will be critically reviewed. The chapter begins with the description of the historical timeline of carbon nanostructures. How the models developed over time have led to the development of carbon nanoforms is reviewed. The impact of theoretical and computational approaches in understanding the physics of these carbon nanostructures is also highlighted.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhang Y, Yin Q-Z (2012) Carbon and other light element contents in the Earth’s core based on first-principles molecular dynamics. Proc Natl Acad Sci USA 109:19579–19583
Allègre CJ, Poirier J-P, Humler E et al (1995) The chemical composition of the Earth. Earth Planet Sci Lett 134:515–526
Pace NR (2001) The universal nature of biochemistry. Proc Natl Acad Sci USA 98:805–808
Marty B, Alexander CMO, Raymond SN (2013) Primordial origins of Earth’s carbon. Rev Mineral Geochem 75:149–181
Hirsch A (2010) The era of carbon allotropes. Nat Mater 9:868–871
Titirici M-M, White RJ, Brun N et al (2015) Sustainable carbon materials. Chem Soc Rev 44:250–290
Loos M (2015) Allotropes of carbon and carbon nanotubes. Elsevier, Amsterdam, The Netherlands
Deng J, You Y, Sahajwalla V et al (2016) Transforming waste into carbon-based nanomaterials. Carbon 96:105–115
Rodríguez-Reinoso F (1998) The role of carbon materials in heterogeneous catalysis. Carbon 36:159–175
Allen MJ, Tung VC, Kaner RB (2010) Honeycomb carbon: a review of graphene. Chem Rev 110:132–145
Geim AK, Novoselov KS (2007) The rise of graphene. Nat Mater 6:183–191
Novoselov KS, Fal VI, Colombo L et al (2012) A roadmap for graphene. Nature 490:192–200
Stankovich S, Dikin DA, Piner RD et al (2007) Synthesis of graphene-based nanosheets via chemical reduction of exfoliated graphite oxide. Carbon 45:1558–1565
Zhu Y, Murali S, Stoller MD et al (2011) Carbon-based supercapacitors produced by activation of graphene. Science 332:1537–1541
Gadipelli S, Guo ZX (2015) Graphene-based materials: synthesis and gas sorption, storage and separation. Prog Mater Sci 69:1–60
Bonaccorso F, Colombo L, Yu G et al (2015) Graphene, related two-dimensional crystals, and hybrid systems for energy conversion and storage. Science 347:1246501–1246509
Sun M-J, Cao X, Cao Z (2016) Si(C≡C)4-based single-crystalline semiconductor: diamond-like superlight and super flexible wide-bandgap material for the UV photoconductive device. ACS Appl Mater Interfaces 8:16551–16554
Chen Y, Fu K, Zhu S et al (2016) Reduced graphene oxide films with ultrahigh conductivity as Li-Ion battery current collectors. Nano Lett 16:3616–3623
Georgakilas V, Tiwari JN, Kemp KC et al (2016) Noncovalent functionalization of graphene and graphene oxide for energy materials, biosensing, catalytic, and biomedical applications. Chem Rev 116:5464–5519
Liu J, Cui L, Losic D (2013) Graphene and graphene oxide as new nanocarriers for drug delivery applications. Acta Biomater 9:9243–9257
Khadiran T, Hussein MZ, Zainal Z et al (2015) Activated carbon derived from peat soil as a framework for the preparation of shape-stabilized phase change material. Energy 82:468–478
Wu Y, Lin Y, Bol AA et al (2011) High-frequency, scaled graphene transistors on diamond-like carbon. Nature 472:74–78
Deng J, Li M, Wang Y (2016) Biomass-derived carbon: synthesis and applications in energy storage and conversion. Green Chem 18:4824–4854
Ferrari A, Robertson J (2000) Interpretation of Raman spectra of disordered and amorphous carbon. Phys Rev B 61:14095–14107
Wei L, Kuo PK, Thomas RL et al (1993) Thermal conductivity of isotopically modified single crystal diamond. Phys Rev Lett 70:3764–3767
Titirici M (2013) Sustainable carbon materials from hydrothermal processes. Wiley, Chichester, UK
Dai L, Chang DW, Baek J-B et al (2012) Carbon nanomaterials for advanced energy conversion and storage. Small 8:1130–1166
Kaneko K, Ishii C, Ruike M et al (1992) Origin of superhigh surface area and microcrystalline graphitic structures of activated carbons. Carbon 30:1075–1088
Pang J, Bachmatiuk A, Ibrahim I et al (2016) CVD growth of 1D and 2D sp2 carbon nanomaterials. J Mater Sci 51:640–667
Kroto HW, Heath JR, O’Brien SC et al (1985) C60: Buckminsterfullerene. Nature 318:162–163
Smalley RE (1991) Great balls of carbon: the Story of Buckminsterfullerene. The Sci 31:22–28
Iijima S (2002) Carbon nanotubes: past, present, and future. Phys B 323:1–5
Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354:56–58
Jones DEH (1966) Hollow molecules. New Sci 32:245
Osawa E (1970) Superaromaticity. Kagaku (Kyoto) 25:854–863
Bochvar DA, Galperin EG (1973) Hypothetical systems-carbododecahedron, s-icosahedrone and carbo-s-icosahedron. Proc Acad Sci USSR 209:610–612
Iijima S (1980) High resolution electron microscopy of some carbonaceous materials. J Microscopy 119:99–111
Curl RF, Smalley RE (1991) Fullerenes. Sci Am 265:54–63
Iijima S, Ichihashi T (1993) Single-shell carbon nanotubes of 1-nm diameter. Nature 363:603–605
Bethune DS, Kiang CH, DeVries MS et al (1993) Cobalt-catalysed growth of carbon nanotubes with single-atomic-layer walls. Nature 363:605–607
Novoselov KS, Geim AK, Morozov SV et al (2004) Electric field effect in atomically thin carbon films. Science 306:666–669
Xu X, Ray R, Gu Y et al (2004) Electrophoretic analysis and purification of fluorescent single-walled carbon nanotube fragments. J Am Chem Soc 126:12736–12737
Pickard CJ, Needs RJ (2011) Ab initio random structure searching. J Phys Condens Matter 23:053201–053223
Oganov AR, Glass CW (2006) Crystal structure prediction using ab initio evolutionary techniques: principles and applications. J Chem Phys 124:244704–244715
Oganov AR, Valle M (2009) How to quantify energy landscapes of solids. J Chem Phys 130:104504–104509
Hautier G, Fischer C, Ehrlacher V et al (2011) Data mined ionic substitutions for the discovery of new compounds. Inorg Chem 50:656–663
Curtarolo S, Morgan D, Persson K et al (2003) Predicting crystal structures with data mining of quantum calculations. Phys Rev Lett 91:135503–135506
Fischer CC, Tibbetts KJ, Morgan D et al (2006) Predicting crystal structure by merging data mining with quantum mechanics. Nat Mater 5:641–646
Hautier G, Fischer CC, Jain A et al (2010) Finding nature’s missing ternary oxide compounds using machine learning and density functional theory. Chem Mater 22:3762–3767
Meredig B, Agrawal A, Kirklin S et al (2014) Combinatorial screening for new materials in unconstrained composition space with machine learning. Phys Rev B 89:094104–094110
Bergerhoff G, Hundt R, Sievers R et al (1983) The inorganic crystal structure data base. J Chem Inf Comput Sci 23:66–69
Meredig B, Wolverton C (2013) A hybrid computational–experimental approach for automated crystal structure solution. Nat Mater 12:123–127
Robertson DH, Brenner DW, Mintmire JW (1992) Energetics of nanoscale graphitic tubules. Phys Rev B 45:12592–12595
Zhang BL, Wang CZ, Ho KM et al (1993) The geometry of large fullerene cages: C72 to C102. J Chem Phys 98:3095–3102
Tang AC, Huang FQ (1995) Electronic structures of giant fullerenes with Ih symmetry. Phys Rev B 51:13830–13832
Dewar MJS, Thiel W (1977) Ground states of molecules. 38. The MNDO method. Approximations and parameters. J Am Chem Soc 99:4899–4907
Dewar MJS, Zoebisch EG, Healy EF et al (1985) J Am Chem Soc 107:3902–3909
Stewart JJP (1989) Optimization of parameters for semiempirical methods I. Method J Comput Chem 10:209–220
Dewar MJS, Jie C, Yu J (1993) SAM1; The first of a new series of general purpose quantum mechanical molecular models. Tetrahedron 49:5003–5038
Davidson RA (1981) Spectral analysis of graphs by cyclic automorphism subgroups. Theor Chim Acta 58:193–231
Schultz HP (1965) Topological organic chemistry. Polyhedranes and Prismanes. J Org Chem 30:1361–1364
Krätschmer W, Lamb LD, Fostiropoulos K et al (1990) Solid C60: a new form of carbon. Nature 347:354–358
Rohlfing EA, Cox DM, Kaldor A (1984) Production and characterization of supersonic carbon cluster beams. J Chem Phys 81:3322–3330
Raghavachari K, Binkley JS (1987) Structure, stability, and fragmentation of small carbon clusters. J Chem Phys 87:2191–2197
Parasuk V, Almolf J (1989) The electronic and molecular structure of C6: complete active space self-consistent-field and multireference configuration interaction. J Chem Phys 91:1137–1141
Pitzer KS, Clementi E (1959) Large molecules in carbon vapor. J Am Chem Soc 81:4477–4485
Hoffmann R (1966) Extended hückel theory—v: Cumulenes, polyenes, polyacetylenes and cn. Tetrahedron 22:521–538
Raghavachari K, Strout DL, Odom GK et al (1993) Isomers of C20. Dramatic effect of gradient corrections in density functional theory. Chem Phys Lett 214:357–361
Schmalz TG, Seitz WA, Klein DJ et al (1988) Elemental carbon cages. J Am Chem Soc 110:1113–1127
Kroto HW (1987) The stability of the fullerenes Cn, with n = 24, 28, 32, 36, 50, 60 and 70. Nature 329:529–531
Taylor R, Hare JP, Abdul-sada AK et al (1990) Isolation, separation and characterisation of the fullerenes C60 and C70: the third form of carbon. J Am Chem Soc Comm 20:1423–1425
Ettl R, Chao I, Diederich F et al (1991) Isolation of C76, a chiral (D2) allotrope of carbon. Nature 353:149–153
Yan Q-L, Gozin M, Zhao F-Q et al (2016) Highly energetic compositions based on functionalized carbon nanomaterials. Nanoscale 8:4799–4851
Kikuchi K, Nakahara N, Wakabayashi T et al (1992) NMR characterization of isomers of C78, C82 and C84 fullerenes. Nature 357:142–145
Manolopoulos DE, Fowler PW, Taylor R et al (1992) Faraday communications. An end to the search for the ground state of C84? J Chem Soc Faraday Trans 88:3117–3118
Kadish KM, Ruoff RS (eds) (2002) Fullerene: chemistry physics and technology. Wiley, New York
Manolopoulos DE, Fowler PW (1992) Molecular graphs, point groups, and fullerenes. J Chem Phys 96:7603–7614
Shustova NB, Kuvychko IV, Bolskar RD et al (2006) Trifluoromethyl Derivatives of Insoluble Small-HOMO−LUMO-Gap Hollow Higher Fullerenes. NMR and DFT Structure Elucidation of C2-(C74–D3h)(CF3)12, Cs-(C76-Td(2))(CF3)12, C2-(C78–D3h(5))(CF3)12, Cs-(C80–C2v(5))(CF3)12, and C2-(C82–C2(5))(CF3)12. J Am Chem Soc 128:15793–15798
Shustova NB, Newell BS, Miller SM et al (2007) Discovering and verifying elusive fullerene cage isomers: structures of C2–p11-(C74–D3h)(CF3)12 and C2–p11-(C78–D3h(5))(CF3)12. Angew Chem 46:4111–4114
Amsharov KY, Jensen M (2008) A C78 fullerene precursor: toward the direct synthesis of higher fullerenes. J Org Chem 73:2931–2934
Manolopoulos DE, Fowler PW (1991) Structural proposals for endohedral metal—fullerene complexes. Chem Phys Lett 187:1–7
Shao N, Gao Y, Yoo S et al (2006) Search for lowest-energy fullerenes: C98 to C110. J Phys Chem A 110:7672–7676
Shao N, Gao Y, Zeng XC (2007) Search for lowest-energy fullerenes 2: C38 to C80 and C112 to C120. J Phys Chem C 111:17671–17677
Slanina Z, Uhlik F, Yoshida M et al (2000) A computational treatment of 35 IPR isomers of C88. Fullerene Sci Technol 8:417–432
Slanina Z, Zhao X, Deota P et al (2000) Relative stabilities of C92 IPR fullerenes. J Mol Model 6:312–317
Sun G (2003) Assigning the major isomers of fullerene C88 by theoretical 13C NMR spectra. Chem Phys Lett 367:26–33
Sun G, Kertesz M (2002) 13C NMR spectra for IPR isomers of fullerene C86. Chem Phys 276:107–114
Zhao X, Slanina Z, Goto H (2004) Theoretical studies on the relative stabilities of C96 IPR fullerenes. J Phys Chem A 108:4479–4484
Zhao X, Goto H, Slanina Z (2004) C100 IPR fullerenes: temperature-dependent relative stabilities based on the Gibbs function. Chem Phys 306:93–104
Fowler PW, Steer JI (1987) The leapfrog principle: a rule for electron counts of carbon clusters. J Chem Soc Chem Commun 9:1403–1405
Amic D, Trinajstic N (1990) On the lack of reactivity of Buckminsterfullerene. A theoretical study. J Chem Soc Perkin Trans 2:1595–1598
Coulombeau C, Rassat A (1987) Calculs de propriétés électroniques et des fréquences normales de vibration d’agrégats carbonés formant des polyèdres réguliers et semi-réguliers. J Chim Phys 84:875–882
Ozaki M, Takahashi A (1986) On electronic states and bond lengths of the truncated icosahedral C60 molecule. Chem Phys Lett 127:242–244
Liithi HP, Almlof J (1987) AB initio studies on the thermodynamic stability of the icosahedral C60 molecule “buckminsterfullerene.” Chem Phys Lett 135:357–360
Almlof J, Luthi HP (1987) Theoretical methods and results for electronic structure calculations on very large systems. ACS Symp. Ser. 353: (Supercomut. Res. Chem. Chem. Eng.), 35–48
Almlof J (1990) Carbon in the Galaxy. In: Tarter JC, Chang S, DeFrees DJ (eds) National Aeronautics and Space Administration Conference Publication Washington, DC, 1990, vol 3061. NASA, USA, p 245
Schulman JM, Disch RL (1991) The heat of formation of buckminsterfullerene, C60. J Chem Soc Chem Comm 6:411–412
Larsson S, Volosov A (1987) Rosen A (1987) Optical spectrum of the icosahedral C60- “follene-60.” Chem Phys Lett 137:501–504
Braga M, Larsson S, Rosen A et al (1991) Electronic transition in C60—on the origin of the strong interstellar absorption at 217 NM. Astron Astrophys 245:232–238
Kataoka M, Nakajima T (1986) Geometrical structures and spectra of corannulene and icosahedral C60. Tetrahedron 42:6437–6442
Lazlo I, Udvardi L (1987) On the geometrical structure and UV spectrum of the truncated icosahedral C60, molecule. Chem Phys Lett 136:418–422
Hayden GW, Mele EJ (1987) π bonding in the icosahedral C60 cluster. Phys Rev B 36:5010–5015
Newton MD, Stanton RE (1986) Stability of buckminsterfullerene and related carbon clusters. J Am Chem Soc 108:2469–2470
Elser V, Haddon RC (1987) Icosahedral C60: an aromatic molecule with a vanishingly small ring current magnetic susceptibility. Nature 325:792–794
Elser V, Haddon RC (1987) Magnetic behavior of icosahedral Csub60. Phys Rev A 36:4579–4584
Fowler PW, Lazzeretti P, Zanasi R (1990) Electric and magnetic properties of the aromatic sixty-carbon cage. Chem Phys Lett 165:79–86
Haddon RC, Elser V (1990) Icosahedral C60 revisited: an aromatic molecule with a vanishingly small ring current magnetic susceptibility. Chem Phys Lett 169:362–364
Schmalz TG (1990) The magnetic susceptibility of Buckminsterfullerene. Chem Phys Lett 175:3–5
Dresselhaus MS, Dresselhaus G, Eklund PC (1996) Science of fullerenes and carbon nanotubes: their properties and applications. Elsevier, San Diego
Lebedeva MA, Chamberlain TW, Khlobystov AN (2015) Harnessing the synergistic and complementary properties of fullerene and transition-metal compounds for nanomaterial applications. Chem Rev. 115:11301–11351
Lim SY, Shen W, Gao Z (2015) Carbon quantum dots and their applications. Chem Soc Rev 44:362–381
Zhu S, Song Y, Zhao X et al (2015) The photoluminescence mechanism in carbon dots (graphene quantum dots, carbon nanodots, and polymer dots): current state and future perspective. Nano Res 8:355–381
Baker SN, Baker GA (2010) Luminescent carbon nanodots: emergent nanolights. Angew Chem Int Ed. 49:6726–6744
Sun Y-P, Zhou B, Lin Y et al (2006) Quantum-sized carbon dots for bright and colorful photoluminescence. J Am Chem Soc 128:7756–7757
Yamijala SSRKC, Bandyopadhyay A, Pati SK (2014) Electronic properties of zigzag, armchair and their hybrid quantum dots of graphene and boron-nitride with and without substitution: A DFT study. Chem Phys Lett 603:28–32
Saidi WA (2013) Oxygen reduction electrocatalysis using N-Doped graphene quantum-dots. J Phys Chem Lett 4:4160–4165
Kumar GS, Roy R, Sen D et al (2014) Amino-functionalized graphene quantum dots: origin of tunable heterogeneous photoluminescence. Nanoscale 6:3384–3391
Zhao M, Yang F, Xue Y et al (2014) A time-dependent DFT study of the absorption and fluorescence properties of graphene quantum dots. Chem Phys Chem 15:950–957
Sk MA, Ananthanarayanan A, Huang L et al (2014) Revealing the tunable photoluminescence properties of graphene quantum dots. J Mater Chem C 2:6954–6960
Zarenia M, Chaves A, Farias GA et al (2011) Energy levels of triangular and hexagonal graphene quantum dots: a comparative study between the tight-binding and Dirac equation approach. Phys Rev B 84:245403–245414
Li H, He X, Kang Z et al (2010) Water-soluble fluorescent carbon quantum dots and photocatalyst design. Angew Chem Int Ed 49:4430–4434
Choudhary RP, Shukla S, Vaibhav K et al (2015) Optical properties of few layered graphene quantum dots. Mater Res Express 2:095024–095028
Zhang RQ, Bertran E, Lee S-T (1998) Size dependence of energy gaps in small carbon clusters: the origin of broadband luminescence. Diamond Relat Mater 7:1663–1668
Zhu B, Sun S, Wang Y et al (2013) Preparation of carbon nanodots from single chain polymeric nanoparticles and theoretical investigation of the photoluminescence mechanism. J Mater Chem C 1:580–586
Park Y, Yoo J, Lim B et al (2016) Improving the functionality of carbon nanodots: doping and surface functionalization. J Mater Chem A 4:11582–11603
Hu S, Tian R, Wu L et al (2013) Chemical regulation of carbon quantum dots from synthesis to photocatalytic activity. Chem Asian J 8: 1035–1041
Kwon W, Do S, Kim J-H et al (2015) Control of Photoluminescence of carbon nanodots via surface functionalization using para-substituted anilines. Sci Rep 5:12604–12613
Margraf JT, Strauss V, Guldi DM et al (2015) The electronic structure of amorphous carbon nanodots. J Phys Chem B 119:7258–7265
Ajayan PM, Stephan O, Colliex C et al (1994) Aligned carbon nanotube arrays formed by cutting a polymer resin—nanotube composite. Science 265:1212–1214
Saito Y, Hamaguchi K, Hata K et al (1997) Conical beams from open nanotubes. Nature 389:554–555
de Heer WA, Châtelain A, Ugarte D (1995) A carbon nanotube field-emission electron source. Science 270:1179–1180
Collins PG, Zettl A, Bando H et al (1997) Nanotube nanodevice. Science 278:100–102
Nardelli MB, Yakobson BI, Bernholc J (1998) Mechanism of strain release in carbon nanotubes. Phys Rev B 57:R4277-4280
Huang JY, Chen S, Ren ZF et al (2006) Real-time observation of tubule formation from amorphous carbon nanowires under high-bias joule heating. Nano Lett 6:1699–1705
Radushkevich LV, Lukyanovich VM (1952) The structure of carbon forming in thermal decomposition of carbon monoxide on an iron catalyst. Russian J Phys Chem 26:88–95
Saxena S, Tyson TA (2010) Ab initio density functional studies of the restructuring of graphene nanoribbons to form tailored single walled carbon nanotubes. Carbon 48:1153–1158
Saito R, Dresselhaus G, Dresselhaus MS (1998) Physical properties of carbon nanotubes. Press, London, Imp. Coll
Terrones M (2003) Science and technology of the twenty-first century: synthesis, properties, and applications of carbon nanotubes. Ann Rev Mater Res 33:419–501
Zhang M, Li J (2009) Carbon nanotube in different shapes. Mater Today 12:12–18
Elliott JA, Sandler JKW, Windle AH et al (2004) Collapse of single-wall carbon nanotubes is diameter dependent. Phys Rev Lett 92:095501–095504
Ebbesen TW, Lezec HJ, Hiura H et al (1996) Electrical conductivity of individual carbon nanotubes. Nature 382:54–56
Saito R, Fujita M, Dresselhaus G et al (1992) Electronic structure of chiral graphene tubules. Appl Phys Lett 60:2204–2206
Delaney P, Di Ventra M, Pantelides ST (1999) Quantized conductance of multiwalled carbon nanotubes. Appl Phys Lett 75:3787–3789
Yu MF, Lourie O, Dyer MJ et al (2000) Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load. Science 287:637–640
Yu MF, Files BS, Arepalli S et al (2000) Tensile loading of ropes of single wall carbon nanotubes and their mechanical properties. Phys Rev Lett 84:5552–5555
Xie S, Li W, Pan Z et al (2000) Mechanical and physical properties on carbon nanotube. J Phys Chem Solids 61:1153–1158
Overney G, Zhong W, Tomanek D (1993) Structural rigidity and low frequency vibrational modes of long carbon tubules. Z Phys D 27:93–96
Tersoff J (1992) Energies of fullerenes. Phys Rev B 46:15546–15549
Sinnott SB, Shenderova OA, White CT et al (1998) Mechanical properties of nanotubule fibers and composites determined from theoretical calculations and simulations. Carbon 36:1–9
Yakobson BI (1998) Mechanical relaxation and “intramolecular plasticity” in carbon nanotubes. Appl Phys Lett 72:918–920
Ru CQ (2000) Effect of van der Waals forces on axial buckling of a double-walled carbon nanotube. J Appl Phys 87:7227–7231
Saxena S, Tyson TA (2010) Interacting quasi-two-dimensional sheets of interlinked carbon nanotubes: a high-pressure phase of carbon. ACS Nano 4:3515–3521
Gao G, Çagin T, Goddard WA III (1998) Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes. Nanotechnology 9:184–191
Hernandez E, Goze C, Bernier P et al (1998) Elastic properties of C and BxCyNz composite nanotubes. Phys Rev Lett 80:4502–4505
Yu M-F, Kowalewski T, Ruoff RS (2000) Investigation of the radial deformability of individual carbon nanotubes under controlled indentation force. Phys. Rev. Lett. 85:1456–1459
Saeed K, Khan I (2013) Carbon nanotubes–properties and applications: a review. Carbon Lett 14:131–144
Ruoff RS, Lorents DC (1995) Mechanical and thermal properties of carbon nanotubes. Carbon 33:925–930
Ashcroft NW (1976) Mermin N D (1976) Solid State Physics. Harcourt Brace, Orlando, FL
Kim P, Shi L, Majumdar A et al (2001) Thermal transport measurements of individual multiwalled nanotubes. Phys Rev Lett 87:215502–215505
Yu C, Shi L, Yao Z et al (2005) Thermal conductance and thermopower of an individual single-wall carbon nanotube. Nano Lett 5:1842–1846
Maultzsch J, Reich S, Thomsen C et al (2002) Phonon dispersion of carbon nanotubes. Solid State Commun 121:471–474
Ishii H, Kobayashi N, Hirose K (2007) Electron–phonon coupling effect on quantum transport in carbon nanotubes using time-dependent wave-packet approach. Phys E 40:249–252
Maeda T, Horie C (1999) Phonon modes in single-wall nanotubes with a small diameter. Phys B 263–264:479–481
Kasuya A, Saito Y, Sasaki Y et al (1996) Size dependent characteristics of single wall carbon nanotubes. Mater Sci Eng A 217–218:46–47
Popov VN (2004) Theoretical evidence for T1/2 specific heat behavior in carbon nanotube systems. Carbon 42:991–995
Segal M (2012) Material history: learning from silicon. Nature 483:S43–S44
Falcao EHL, Wudl F (2007) Carbon allotropes: beyond graphite and diamond. J Chem Technol Biotechnol 82:524–531
Aristov VY, Urbanik G, Kummer K et al (2010) Graphene synthesis on cubic SiC/Si wafers. perspectives for mass production of graphene-based electronic devices. Nano Lett 10:992–995
Hernandez Y, Nicolosi V, Lotya M et al (2008) High-yield production of graphene by liquid-phase exfoliation of graphite. Nat Nanotechnol 3:563–568
Paredes JI, Villar-Rodil S, Fernández-Merino MJ et al (2011) Environmentally friendly approaches toward the mass production of processable graphene from graphite oxide. J Mater Chem 21:298–306
Dikin DA, Stankovich S, Zimney EJ et al (2007) Preparation and characterization of graphene oxide paper. Nature 448:457–460
Wang G, Yang J, Park J et al (2008) Facile synthesis and characterization of graphene nanosheets. J Phys Chem C 112:8192–8195
Prasai D, Tuberquia JC, Harl RR et al (2012) Graphene: corrosion-inhibiting coating. ACS Nano 6:1102–1108
Kiran SK, Shukla S, Struck A et al (2019) Surface enhanced 3D rGO hybrids and porous rGO nano-networks as high performance supercapacitor electrodes for integrated energy storage devices. Carbon 158:527–535
Kiran SK, Shukla S, Struck A et al (2019) Surface engineering of graphene oxide shells using Lamellar LDH nanostructures. ACS Appl Mater Interfaces 11:20232–20240
Zhao X, Hayner CM, Kung MC et al (2011) In‐plane vacancy‐enabled high‐power Si–graphene composite electrode for Lithium‐Ion batteries. Adv Energy Mater 1:1079–1084
Z. Radivojevic, et al. (2012) Electrotactile touch surface by using transparent graphene. In: VRIC ‘12: proceedings of the 2012 virtual reality international conference, association for computing machinery, New York, NY, USA
Wang H, Sun K, Tao F et al (2013) 3D honeycomb-like structured graphene and its high efficiency as a counter-electrode catalyst for dye-sensitized solar cells. Angew Chem Int Ed Engl 52:9210–9214
Pawar PB, Saxena S, Bhade DK et al (2016) 3D oxidized graphene frameworks for efficient nano sieving. Sci Rep 6:21150–21154
Shejale KP, Yadav D, Patil H et al (2020) Evaluation of techniques for the remediation of antibiotic-contaminated water using activated carbon. Mol Syst Des Eng 5:743–756
Pandey A, Deb M, Tiwari S et al (2018) 3D oxidized graphene frameworks: an efficient adsorbent for methylene blue. J Mater 70:469–472
Pawar PB, Maurya SK, Chaudhary RP et al (2016) Water purification using graphene covered micro-porous, reusable carbon membrane. MRS Adv 1:1411–1416
Wallace PR (1947) The band theory of graphite. Phys Rev 71:622–634
Slater JC, Koster GF (1954) Simplified LCAO method for the periodic potential problem. Phys Rev B 94:1498–1524
Harrison (1980) Electronic structure and the properties of solids: the physics of the chemical bond. W. H, Freeman and Company, San Francisco, p 1980
Boehm HP, Clauss A, Fisher GO et al (1962) Das Adsorptionsverhalten sehr dünner Kohlenstoff-Folien. Zeitschrift Fur Anorg Und Allg Chemie 316:119–127
Fuhrer MS, Lau CN, MacDonald AH (2010) Graphene: materially better carbon. MRS Bull 35:289–295
Singh V, Joung D, Zhai L et al (2011) Graphene based materials: past, present and future. Prog Mater Sci 56:1178–1271
Kim KS, Zhao Y, Jang H et al (2009) Large-scale pattern growth of graphene films for stretchable transparent electrodes. Nature 457:706–710
Balandin AA, Ghosh S, Bao W et al (2008) Superior thermal conductivity of single-layer graphene. Nano Lett 8:902–907
Lee C, Wei X, Kysar JW et al (2008) Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321:385–388
Zhu Y, Murali S, Cai W et al (2010) Graphene and graphene oxide: synthesis, properties, and applications. Adv Mater 22:3906–3924
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Roondhe, B., Sharma, V., Saxena, S. (2021). Theoretical and Computational Investigations of Carbon Nanostructures. In: Hazra, A., Goswami, R. (eds) Carbon Nanomaterial Electronics: Devices and Applications. Advances in Sustainability Science and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-16-1052-3_7
Download citation
DOI: https://doi.org/10.1007/978-981-16-1052-3_7
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-1051-6
Online ISBN: 978-981-16-1052-3
eBook Packages: EngineeringEngineering (R0)