Toroidal form of carbon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>360</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Itoh, Satoshi; Ihara, Sigeo; Kitakami, Jun-ichi

doi:10.1103/physrevb.47.1703

Cited by 201 publications

(83 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Among these nanostructures, helical and coiled formations have a special place due to their differentiated mechanical behavior [3]. Coiled carbon nanotubes (CCNTs) were first predicted to exist in the early 1990s by Dunlap [4] and Ihara et al [5][6][7] and experimentally observed in 1994 by Zhang et al [8]. CCNTs have been receiving increasing interest because of their additional capability to serve as nanoscale mechanical springs [9] and electrical inductors [10], and for their potential applications in composites [11].…”

mentioning

confidence: 99%

Entanglement and the Nonlinear Elastic Behavior of Forests of Coiled Carbon Nanotubes

et al. 2008

View full text Add to dashboard Cite

Helical or coiled nanostructures have been objects of intense experimental and theoretical studies due to their special electronic and mechanical properties. Recently, it was experimentally reported that the dynamical response of a foamlike forest of coiled carbon nanotubes under mechanical impact exhibits a nonlinear, non-Hertzian behavior, with no trace of plastic deformation. The physical origin of this unusual behavior is not yet fully understood. In this Letter, based on analytical models, we show that the entanglement among neighboring coils in the superior part of the forest surface must be taken into account for a full description of the strongly nonlinear behavior of the impact response of a drop ball onto a forest of coiled carbon nanotubes.

show abstract

mentioning

confidence: 99%

Entanglement and the Nonlinear Elastic Behavior of Forests of Coiled Carbon Nanotubes

et al. 2008

View full text Add to dashboard Cite

show abstract

“…Symmetry of CNCs is a line group from the first family L (1) =T Q (F)C 1 [5]. Elements of symmetry are rotation for 2π/Q around the helix axis followed by fractional translation along this axis.…”

Section: Geometry and Symmetrymentioning

confidence: 99%

“…Carbon nanocoils (CNCs) are experimentally observed by Zhang et al in 1994 [2], shortly after being theoretically predicted by Ihara et al [1]. Their geometrical structure is usually described by four parameters: tubular diameter, pitch, inclination and diameter of a coil.…”

Section: Introductionmentioning

confidence: 99%

Carbon Nanocoils: Structure and Stability

Popović

Damnjanović

Milošević

2012

Contemporary Materials

View full text Add to dashboard Cite

Abstract:We have constructed a model of single-wall helically coiled carbon nanotubes by means of graph theory and topological coordinates method. After obtaining threedimensional coordinates of the atoms we proceed with the relaxation by successive application of the following methods: 1) harmonic approximation; 2) molecular mechanics based on the Brenner potential; and 3) density functional tight binding (DFTB). Finally, by DFTB and line group symmetry implemented POLSym code, we calculate total and cohesive energy of the obtained fully relaxed structures of CNCs.

show abstract

“…Also known as nanorings, these closed structures have been considered theoretically for some time where the focus has been on the stability of individual rings. Earlier investigations focused on tori fabricated with a series of heptagon-pentagon defects; [17][18][19] more recently, perfect toroidal polyhexes 20 have been modeled wherein the ends of a SWNT are brought together to form a toroid free of any defects. [21][22][23] In parallel with these computational studies of stability, nanorings have been experimentally fabricated by a number of researchers.…”

Section: Introductionmentioning

confidence: 99%

Mechanical properties of connected carbon nanorings via molecular dynamics simulation

et al. 2005

View full text Add to dashboard Cite

Stable, carbon nanotori can be constructed from nanotubes. In theory, such rings could be used to fabricate networks that are extremely flexible and offer a high strength-to-density ratio. As a first step towards realizing such nanochains and nanomaile, the mechanical properties of connected carbon nanorings were investigated via molecular dynamics simulation. The Young's modulus, extensibility and tensile stength of nanorings were estimated under conditions that idealize the constraints of nanochains and nanomaile. The results indicate nanorings are stable under large tensile deformation. The calculated Young's modulus of nanorings was found increase with deformation from 19.43 GPa to 121.94 GPa ͑without any side constraints͒ and from 124.98 GPa to 1.56 TPa ͑with side constraints͒. The tensile strength of unconstrained and constrained nanorings is estimated to be 5.72 and 8.522 GPa, respectively. The maximum strain is approximately 39% ͑nanochains͒ and 25.2% ͑nanomaile͒, and these deformations are completely reversible.

show abstract

Toroidal form of carbonC360

Cited by 201 publications

References 14 publications

Entanglement and the Nonlinear Elastic Behavior of Forests of Coiled Carbon Nanotubes

Entanglement and the Nonlinear Elastic Behavior of Forests of Coiled Carbon Nanotubes

Carbon Nanocoils: Structure and Stability

Mechanical properties of connected carbon nanorings via molecular dynamics simulation

Contact Info

Product

Resources

About