Energetics and structure of toroidal forms of carbon

Johnson, JK; Bn, Davidson; Pederson,; Broughton, Jeremy Q.

doi:10.1103/physrevb.50.17575

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Introduction4

Toroidal and Helicoidal Graphite1

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Cited by 35 publications

(10 citation statements)

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“…The rings with n > 6 are indispensable to the open, negativelly curved, carbon networks [12]. Toroidal [13] and helical [14] forms of carbon require both.…”

Section: Introductionmentioning

confidence: 99%

Charge Localization around Disclinations in Monolayer Graphite

Azevedo¹,

Furtado²,

Moraes³

1998

phys. stat. sol. (b)

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“…The rings with n > 6 are indispensable to the open, negativelly curved, carbon networks [12]. Toroidal [13] and helical [14] forms of carbon require both.…”

Section: Introductionmentioning

confidence: 99%

Charge Localization around Disclinations in Monolayer Graphite

Azevedo¹,

Furtado²,

Moraes³

1998

phys. stat. sol. (b)

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“…Another geometrical route for constructing tori is by the introduction of heptagons and pentagons proportionally in a closed graphitic framework, so that the curvature is compensated (see figure 10b). In this case, the heptagonal rings exhibit a deficit in electronic charge, whereas the pentagonal rings reveal an excess of charge (Johnson et al . 1994).…”

Section: Toroidal and Helicoidal Graphitementioning

confidence: 99%

Shape and complexity at the atomic scale: the case of layered nanomaterials

Terrones

López–Urías

et al. 2004

Philosophical Transactions of the Royal Society of London. Seri

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In nature there are numerous layered compounds, some of which could be curved so as to form fascinating nanoshapes with novel properties. Graphite is at present the main example of a very flexible layered structure, which is able to form cylinders (nanotubes) and cages (fullerenes), but there are others. While fullerenes possess positive curvature due to pentagonal rings of carbon, there are other structures which could include heptagonal or higher membered rings. In fact, fullerenes and nanotubes could display negative curvature, thus forming nanomaterials possessing unexpected electronic and mechanical properties. The effect of curvature in other nano-architectures, such as in boron nitride and metal dichalcogenides, is also discussed in this account. Electron irradiation is a tool able to increase the structural complexity of layered materials. In this context, we describe the coalescence of carbon nanotubes and C(60) molecules. The latter results now open up an alternative approach to producing and manipulating novel nanomaterials in the twenty-first century.

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“…The rings with n b 6 are indispensable to the open, negatively curved, carbon networks [12]. Toroidal [13] and helical [14] forms of carbon require both.…”

Section: Introductionmentioning

confidence: 99%