Abstract
Electromechanical carbon nanothermometers are devices that work based on the interactions and relative motions of double-walled carbon nanotubes (DWCNTs). In this paper, the mechanics of carbon nanotubes (CNTs) constituting two well-known configurations for nanothermometer, namely shuttle configuration and telescope configuration are fully investigated. Lennard-Jones (LJ) potential function along with the continuum approximation is employed to investigate van derWaals (vdW) interactions between the interacting entities. Accordingly, semi-analytical expressions in terms of single integrals are obtained for vdW interactions. Acceptance condition and suction energy are studied for the shuttle configuration. In addition, a universal potential energy is presented for the shuttle configuration consisting of two finite CNTs. Also, for the telescope configuration, extensive studies are performed on the distributions of potential energy and interaction force for various radii and lengths of CNTs. It is found that these geometrical parameters have a considerable effect on the potential energy.
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References
Iijima, S.: Helical microtubules of graphitic carbon. Nature 354, 56–58 (1991)
Ajayan, P.M., Ebbesen. T.W.: Nanometre-size tubes of carbon. Rep. Prog. Phys. 60, 1025–1062 (1997)
Wei, B.Q., Vajtai, R., Ajayan, P.M.: Reliability and current carrying capacity of carbon nanotubes. Appl. Phys. Lett. 79, 1172–1174 (2001)
Baughman, R.H., Zakhidov, A.A., de Heer, W.A.: Carbon nanotubes-the route toward applications. Science 297, 787–92 (2002)
Lozovik, Yu.E., Nikolaev, A.G., Popov, A.M.: Nanotube-based nanoelectromechanical systems. J. Exp. Theor. Phys. 103, 449–462 (2006)
Maslov, L.: Concept of nonvolatile memory based on multiwall carbon nanotubes. Nanotechnology 17, 2475–2482 (2006)
Popov, A.M., Lozovik, Yu.E., Bichoutskaia, E., et al.: An electromechanical nanothermometer based on thermal vibrations of carbon nanotube walls. Phys. Solid State 51, 1306–1314 (2009)
Tu, Z.C., Hu, X.: Molecular motor constructed from a double-walled carbon nanotube driven by axially varying voltage. Phys. Rev. B: Condens. Matter 72, 033404–033407 (2005)
Lozovik, Yu.E., Minogin, A.V., Popov, A.M.: Possible nanomachines: Nanotube walls as movable elements. JETP Lett. 77, 759–631 (2003)
Lozovik, Yu.E., Popov, A.M.: Nanomachines Based on carbon nanotubes walls motion: Operation modes and control forces. Fuller. Nanotub. Car. N. 12, 485–492 (2004)
Bichoutskaia, E., Heggie, M.I., Lozovik, Yu.E., et al.: Multiwalled nanotubes: Commensurate-incommensurate phase transition and NEMS applications. Fuller. Nanotub. Car. N. 14, 131–140 (2006)
Lozovik, Yu.E., Minogin, A.V., Popov, A.M.: Nanomachines based on carbon nanotubes. Phys. Lett. A 313, 112–125 (2003)
Liu, P., Zhang, Y.W., Lu, C.: Oscillatory behavior of C60-nanotube oscillators: A molecular-dynamics study. J. Appl. Phys. 97, 094313–094316 (2005)
Kang, J.W., Song, K.O., Hwang, H.J., et al.: Nanotube oscillator based on a short single-walled carbon nanotube bundle. Nanotechnology 17, 2250–2258 (2006)
Gao, Y., Bando, Y., Liu, Z., et al.: Temperature measurement using a gallium-filled carbon nanotube nanothermometer. Appl. Phys. Lett. 83, 2913–2915 (2003)
Liu, Z., Bando, Y., Mitome, M., et al.: Unusual freezing and melting of gallium encapsulated in carbon nanotubes. Phys. Rev. Lett. 93, 095504–095508 (2004)
Bichoutskaia, E., Popov, A.M., Lozovik, Y.E., et al.: Electromechanical nanothermometer. Phys. Lett. A 366, 480–486 (2007)
Rahmat, F., Thamwattana, N., Hill, J.M.: Carbon nanotube oscillators for applications as nanothermometers. J. Phys. A: Math. Theor. 43, 405209–405234 (2010)
Ansari, R., Mahmoudinezhad, E., Alipour, A., et al.: A comprehensive study on the encapsulation of methane in single-walled carbon nanotubes. J. Comput. Theoret. Nanosci. 10, 2209–2215 (2012)
Ansari, R., Motevalli. B.: On new aspects of Nested carbon nanotubes as gigahertz oscillators. J. Vib. Acoust. 133, 051003 (2011)
Girifalco, L.A, Hodak, M., Lee, R.S.: Carbon nanotubes, buckyballs, ropes and a universal graphitic potential. Phys. Rev. B. 62, 104–110 (2000)
Hilder, T.A., Hill, J.M.: Continuous versus discrete for interacting carbon nanostructures. J. Phys. A: Math. Theor. 40, 3851–3868 (2007)
Ansari, R., Alisafaei, F., Alipour, A., et al.: On the van der Waals interaction of carbon nanocones. J. Phys. Chem. Solids 73, 751–756 (2012)
Ansari, R., Sadeghi, F., Ajori, S.: Continuum and molecular dynamics study of C60 fullerene-carbon nanotube oscillators. Mech. Res. Commun. 47, 18–23 (2012)
Cox, B.J., Thamwattana, N., Hill, J.M.: Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behavior. Proc. R. Soc. A 463, 477–494 (2007)
Cox, B.J., Thamwattana, N., Hill, J.M.: Mechanics of nanotubes oscillating in carbon nanotube bundles. Proc. R. Soc. A 464, 691–710 (2008)
Baowan, D., Hill, J.M.: Force distribution for double-walled carbon nanotubes and gigahertz oscillators. Z. Angew. Math. Phys. 58, 857–875 (2007)
Rance, G.A., Marsh, D.H., Bourne, S.J., et al.: van der Waals interactions between nanotubes and nanoparticles for controlled assembly of composite nanostructures. ACS Nano 4, 4920–4928 (2010)
Henrard, L., Hernández, E., Bernier, P., et al.: van der Waals interaction in nanotube bundles: Consequences on vibrational modes. Phys. Rev. B 60, R8521–R8524 (1999)
Popescu, A., Woods, L.M., Bondarev. I.V.: Simple model of van der Waals interactions between two radially deformed single-wall carbon nanotubes. Phys. Rev. B 77, 115443–115452 (2008)
Blagov, E.V., Klimchitskaya, G.L., Mostepanenko, V.M.: van der Waals interaction between a microparticle and a singlewalled carbon nanotube. Phys. Rev. B 75 235413–235420 (2007)
Legoas, S.B., Coluci, V.R., Braga, S.F., et al.: Moleculardynamics simulations of carbon nanotubes as gigahertz oscillators. Phys. Rev. Lett. 90 055504–055507 (2003)
Zheng, Q., Jiang, Q.: Multiwalled carbon nanotubes as gigahertz oscillators. Phys. Rev. Lett. 88, 045503–045505 (2002)
Zheng, Q., Liu, J.Z., Jiang. Q.: Excess van der Waals interaction energy of a multiwalled carbon nanotube with an extruded core and the induced core oscillation. Phys. Rev. B 65, 245409–245414 (2002)
Sun, C.H., Yin, L.C., Li, F., et al.: Van der Waals interactions between two parallel infinitely long single-walled nanotubes. Chem. Phys. Lett. 403, 343–346 (2005)
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Ansari, R., Daliri, M. & Hosseinzadeh, M. On the van der Waals interaction of carbon nanotubes as electromechanical nanothermometers. Acta Mech Sin 29, 622–632 (2013). https://doi.org/10.1007/s10409-013-0047-9
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DOI: https://doi.org/10.1007/s10409-013-0047-9