Mechanics of atoms interacting with a carbon nanotorus: optimal configuration and oscillation behaviour

References

• J. Liu, H. Dai, J. Hafner, D. Colbert, and R. Smalley, Fullerene ‘crop circles’, Nature 385 (1997), pp. 780–781. doi: 10.1038/385780b0
   PubMed Web of Science ®Google Scholar
• R. Saito, G. Dresselhaus, and M. Dresselhaus, Physical Properties of Carbon Nanotubes, Imperial College Press, London, 1998.
   Google Scholar
• S. Ray, Applications of Graphene and Graphene-oxide Based Nanomaterials, William Andrew, Oxford, 2015.
   Google Scholar
• R. Bakry, R. Vallant, M. u. Haq, M. Rainer, Z. Szabo, C. Huck, and G. Bonn, Medicinal applications of fullerenes, Int. J. Nanomed. 2 (2007), pp. 639–649.
   PubMed Web of Science ®Google Scholar
• B. Wong, S. Yoong, A. Jagusiak, T. Panczyk, H. Ho, W. Ang, and G. Pastorin, Carbon nanotubes for delivery of small molecule drugs, Adv. Drug Deliv. Rev. 65 (2013), pp. 1964–2015. doi: 10.1016/j.addr.2013.08.005
   PubMed Web of Science ®Google Scholar
• N. Karousis, I. Martinez, C. Ewels, and N. Tagmatarchis, Structure, properties, functionalization, and applications of carbon nanohorns, Chem. Rev. 116 (2016), pp. 4850–4883. doi: 10.1021/acs.chemrev.5b00611
   PubMed Web of Science ®Google Scholar
• A. Thess, R. Lee, P. Nikolaev, H. Dai, P. Petit, J. Robert, C. Xu, Y. Lee, S. Kim, A. Rinzler, D. Colbert, G. Scuseria, D. Tomanek, J. Fischer, and R. Smalley, Crystalline ropes of metallic carbon nanotubes, Science 273 (1996), pp. 483–487. doi: 10.1126/science.273.5274.483
   PubMed Web of Science ®Google Scholar
• M. Sano, A. Kamino, J. Okamura, and S. Shinkai, Ring closure of carbon nanotubes, Science 293 (2001), pp. 1299–1301. doi: 10.1126/science.1061050
   PubMed Web of Science ®Google Scholar
• O.S. Okwundu, E.U. Aniekwe, and C.E. Nwanno, Unlimited potentials of carbon: Different structures and uses (a review), Metall. Mater. Eng. 24 (2018), pp. 145–171. doi: 10.30544/388
   Google Scholar
• E. Günay, Rolling behavior and properties of carbon nanotube, Mater. Focus 7 (2018), pp. 726–740. doi: 10.1166/mat.2018.1568
   Web of Science ®Google Scholar
• L. Liu, F. Liu, and J. Zhao, Curved carbon nanotubes: From unique geometries to novel properties and peculiar applications, Nano Res. 7 (2014), pp. 626–657. doi: 10.1007/s12274-014-0431-1
   Web of Science ®Google Scholar
• M.Y. Yurev and A.S. Mysovsky, Theoretical study of the spatial structure and electronic and optical properties of carbon toroidal nanostructures, B. Russ. Acad. Sci.: Phys. 81 (2017), pp. 1263–1268.
   Google Scholar
• M. Lin and D. Chuu, Persistent currents in toroidal carbon nanotubes, Phys. Rev. B 57 (1998), pp. 6731–6737. doi: 10.1103/PhysRevB.57.6731
   Web of Science ®Google Scholar
• X. Tang, Persistent current in a carbon nanotube torus encapsulated with a carbon ring, J. Phys. Condens. Matter 23 (2011), pp. 105302.
   PubMed Web of Science ®Google Scholar
• Z. Zhang, J. Yuan, M. Qiu, J. Peng, and F. Xiao, Persistent currents in carbon nanotori: Effects of structure deformations and chirality, J. Appl. Phys. 99 (2006), pp. 104311.
   Web of Science ®Google Scholar
• S. Latil, S. Roche, and A. Rubio, Persistent currents in carbon nanotube based rings, Phys. Rev. B67 (2003), pp. 165420. doi: 10.1103/PhysRevB.67.165420
   Web of Science ®Google Scholar
• C. Liu and N. Xu, Magnetic response of chiral carbon nanotori: The dependence of torus radius, Physica B 403 (2008), pp. 2884–2887. doi: 10.1016/j.physb.2008.02.030
   Web of Science ®Google Scholar
• E. Yazgan, E. Tasci, O. Malcioglu, and S. Erkoc, Electronic properties of carbon nanotoroidal structures, J. Mol. Struc.-Theochem 681 (2004), pp. 231–234. doi: 10.1016/j.theochem.2004.05.029
   Web of Science ®Google Scholar
• A. Cruz-Torres, F.D.L. Castillo-Alvarado, and J. Ortíz-López, Hydrogen storage inside a toroidal carbon nanostructure c120: Density functional theory computer simulation, Int. J. Quantum Chem. 110 (2010), pp. 2495–2508.
   Web of Science ®Google Scholar
• K. Sumetpipat, R. Lee, B.J. Cox, J.M. Hill, and D. Baowan, Carbon nanotori and nanotubes encapsulating carbon atomic-chains, J. Math. Chem. 52 (2014), pp. 1817–1830. doi: 10.1007/s10910-014-0348-7
   Web of Science ®Google Scholar
• M. Lusk and N. Hamm, Toroidal carbon nanotubes with encapsulated atomic metal loops, Phys. Rev. B 76 (2007), pp. 125422. doi: 10.1103/PhysRevB.76.125422
   Web of Science ®Google Scholar
• T.A. Hilder and J.M. Hill, Orbiting nanosectors inside carbon nanotori, Nano Lett. 2 (2007), pp. 50–53.
   Web of Science ®Google Scholar
• T.A. Hilder and J.M. Hill, Orbiting atoms and C60 fullerenes inside carbon nanotori, J. Appl. Phys. 101 (2007), pp. 064319. doi: 10.1063/1.2511490
   Web of Science ®Google Scholar
• T.A. Hilder and J.M. Hill, Oscillating carbon nanotori along carbon nanotubes, Phys. Rev. B 75 (2007), pp. 125415. doi: 10.1103/PhysRevB.75.125415
   Web of Science ®Google Scholar
• Y. Chan, B.J. Cox, and J.M. Hill, Carbon nanotori as traps for atoms and ions, Physica B 407 (2012), pp. 3479–3483. doi: 10.1016/j.physb.2012.05.005
   Web of Science ®Google Scholar
• B.J. Cox, N. Thamwattana, and J.M. Hill, Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies, Proc. R. Soc. A 463 (2007), pp. 461–476. doi: 10.1098/rspa.2006.1771
   Google Scholar
• B.J. Cox, N. Thamwattana, and J.M. Hill, Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour, Proc. R. Soc. A 463 (2007), pp. 477–494. doi: 10.1098/rspa.2006.1772
   Google Scholar
• L. Girifalco, M. Hodak, and R. Lee, Carbon nanotube, buckyballs, ropes and a universal graphitic potential, Phys. Rev. Lett. 62 (2000), pp. 104–110.
   Google Scholar
• D. Baowan and J.M. Hill, Force distribution for double-walled carbon nanotubes, Z. Angew. Math. Phys. 58 (2007), pp. 857–875. doi: 10.1007/s00033-006-6098-z
   Web of Science ®Google Scholar
• P. Sarapat, N. Thamwattana, and D. Baowan, Continuum modelling for adhesion between paint surfaces, Int. J. Adhes. Adhes. 70 (2016), pp. 234–238. doi: 10.1016/j.ijadhadh.2016.07.003
   Web of Science ®Google Scholar
• Y. Chan, N. Thamwattana, and J.M. Hill, Spiral motion of carbon atoms and C60 fullerenes inside single-walled carbon nanotubes, Int. J. Theor. Appl. Multi. Mech. 1 (2009), pp. 176–193. doi: 10.1504/IJTAMM.2009.029219
   Google Scholar
• I. Grandshteyn and I. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1980.
   Google Scholar