Using the Lennard–Jones potential, continuum modeling of the van der Waals potential energy and interaction force distributions are investigated for the eccentric and concentric single-walled carbon nanocones inside the single-walled carbon nanotubes. Furthermore, a new semi-analytical solution is presented to evaluate the van der Waals interaction of the nanocone located on the axis of the nanotube. Eccentric and concentric configurations of these nanostructures are also investigated to obtain the preferred position of the nanocone inside the nanotubes. Finally, the optimum radius of a carbon nanotube for which the preferred location of carbon nanocones is along the tube axis is found.

References

References
1.
Iijima
,
S.
, 1991, “
Helical Microtubules of Graphitic Carbon
,”
Nature
,
354
, pp.
56
58
.
2.
Kroto
,
H. W.
,
Heath
,
J. R.
,
O’Brien
,
S. C.
,
Curl
,
R. F.
, and
Smalley
,
R. E.
, 1985, “
C60: Buckminsterfullerene
,”
Nature
,
318
, pp.
162
163
.
3.
Kong
,
X. Y.
,
Ding
,
Y.
,
Yang
,
R.
, and
Wang
,
Z. L.
, 2004, “
Single-Crystal Nanorings Formed by Epitaxial Self-Coiling of Polar-Nanobelts
,”
Science
,
303
, pp.
1348
1351
.
4.
Iijima
,
S.
,
Brabec
,
C.
,
Maiti
,
A.
, and
Bernholc
,
J.
, 1996, “
Structural Flexibility of Carbon Nanotubes
,”
J. Chem. Phys.
,
104
, pp.
2089
2092
.
5.
Yakobson
,
B. I.
,
Campbell
,
M. P.
,
Brabec
,
C. J.
, and
Bernholc
,
J.
, 1997, “
High Strain Rate Fracture and C-Chain Unraveling in Carbon Nanotubes
,”
Comput. Mater. Sci.
,
8
, pp.
341
348
.
6.
Hernandez
,
E.
,
Goze
,
C.
,
Bernier
,
P.
, and
Rubio
,
A.
, 1998, “
Elastic Properties of C and BxCyNz Composite Nanotubes
,”
Phys. Rev. Lett.
,
80
, pp.
4502
4505
.
7.
Sanchez-Portal
,
D.
,
Artacho
,
E.
,
Soler
,
J. M.
,
Rubio
,
A.
, and
Ordejon
,
P.
, “
Ab Initio Structural, Elastic, and Vibrational Properties of Carbon Nanotubes
,”
Phys. Rev. B
,
59
, pp.
12678
12688
.
8.
Qian
,
D.
,
Wagner
,
J. G.
,
Liu
,
W. K.
,
Yu
,
M. F.
, and
Ruoff
,
R. S.
, 2002, “
Mechanics of Carbon Nanotubes
,”
Appl. Mech. Rev.
,
55
, pp.
495
533
.
9.
Sevantie
,
J.
, and
Gaspard
,
P.
, 2006, “
Translational Dynamics and Friction in Double-Walled Carbon Nanotubes
,”
Phys. Rev. B
,
73
,
125428
.
10.
Wong
,
L. H.
,
Zhao
,
Y.
,
Chen
,
G. H.
, and
Chwang
,
A. T.
, 2006, “
Grooving the Carbon Nanotube Oscillators
,”
Appl. Phys. Lett.
,
88
,
183107
.
11.
Liu
,
P.
,
Zhang
,
Y. W.
, and
Lu
,
C.
, 2005, “
Oscillatory Behavior of C60-Nanotube Oscillators: A Molecular-Dynamics Study
,”
J. Appl. Phys.
,
97
,
094313
.
12.
Raffi-Tabar
,
H.
, 2008,
Computational Physics of Carbon Nanotubes
,
1st ed.
,
Cambridge
,
New York
.
13.
Su
,
H.
,
Goddard
,
W. A.
, and
Zhao
,
Y.
, 2006, “
Dynamic Friction Force in a Carbon Peapod Oscillator-Nanotechnology
,”
Nanotechnology
,
17
, p.
5691
.
14.
Dresselhaus
,
M. S.
,
Dresselhaus
,
G.
, and
Eklund
,
P. C.
, 1995,
Science of Fullerenes and Carbon Nanotubes
,
Academic
,
CA
.
15.
Charlier
,
J. C.
, and
Rignanese
,
G. M.
, 2001, “
Quasiparticle Effects on Tunneling Currents: A Study of C2H4 Adsorbed on the Si(001)- (2 × 1) Surface
,”
Phys. Rev. Lett.
,
86
, p.
5970
.
16.
Pincak
,
R.
, and
Osipov
,
V. A.
, 2003, “
Localized Electron States Near Pentagons in Variously Shaped Carbon Nanoparticles
,”
Phys. Lett. A
,
314
, pp.
315
321
.
17.
Ge
,
M.
, and
Sattler
,
K.
, 1994, “
Observation of Fullerene Cones
,”
Chem. Phys. Lett.
,
220
, pp.
192
196
.
18.
Kim
,
Y.A.
,
Hayashi
,
T.
,
Osawa
,
K.
,
Endo
,
M.
, and
Dresselhaus
,
M. S.
, 2003, “
Cone-Type Multi-Shell in the Hallow Core of Multi-Wall Carbon Nanotube
,”
Chem. Phys. Lett.
,
367
, pp.
537
540
.
19.
Jordan
,
S. P.
, and
Crespi
,
B. H.
, 2004, “
Theory of Carbon Nanocones: Mechanical Chiral Inversion of a Micron-Scale Three-Dimensional Object
,”
Phys. Rev. Lett.
,
93
,
255504
.
20.
Baowan
,
D.
, and
Hill
,
J. M.
, 2008, “
Equilibrium Locations for Nested Carbon Nanocones
,”
J. Math. Chem.
,
43
, pp.
1489
1504
.
21.
Baowan
,
D.
, and
Hill
,
J. M.
, 2008, “
Gigahertz Oscillators Constructed From Carbon Nanocones Inside Carbon Nanotubes
,”
J. Comput. Theor. Nanosci.
,
5
, pp.
302
310
.
22.
Ansari
,
R.
, and
Motevalli
,
B.
, 2009, “
The Effects of Geometrical Parameters on Force Distributions and Mechanics of Carbon Nanotubes: A Critical Study
,”
Commun. Nonlinear Sci. Numur. Simul.
,
14
, pp.
4246
4263
.
23.
Naess
,
S. N.
,
Elgsaeter
,
A.
,
Helgesen
,
G.
, and
Knudsen
,
K. D.
, 2009, “
Carbon Nanocones: Wall Structure and Morphology
,”
Sci. Technol. Adv. Mater.
,
10
,
065002
.
24.
Cox
,
B. J.
,
Thamwattana
,
N.
, and
Hill
,
J. M.
, 2007, “
Carbon Molecules Oscillating in Carbon Nanotube Bundles
,”
Proc. R. Soc. London, Ser. A
,
463
, p.
477
.
25.
Cox
,
B. J.
,
Thamwattana
,
N.
, and
Hill
,
J. M.
, 2007, “
Mechanics of Atoms and Fullerenes in Single-Walled Carbon Nanotubes
,”
Proc. R. Soc. London, A
,
463
, pp.
461
476
.
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