Fullerenes with non-positive Gaussian curvature: Holey-balls and holey-tubes

Humberto Terrones, Mauricio Terrones Maldonado

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Classical fullerenes such as C60 and C70 need 12 pentagonal rings of carbon for the closure of the cage. These pentagons produce the positive Gaussian curvature which gives the characteristic spherical shape. In this paper we propose a new family of fullerene-like structures which do not have pentagonal rings (no positive Gaussian curvature), no dangling bonds, possesing hexagons and heptagons only. The topology of this new family of perforated fullerenes (holey-balls) and nanotubes (holey-tubes) is higher than classical fullerenes presenting genus 5,11 up to 21. Holey balls can be icosahedral (Ih) and cubic (Oh). The geometry, elastic stabilities and possible applications of holey-balls and holey-tubes are studied.

Original languageEnglish (US)
Pages (from-to)751-767
Number of pages17
JournalFullerene Science and Technology
Volume6
Issue number5
DOIs
StatePublished - Jan 1 1998

Fingerprint

Fullerenes
Nanotubes
fullerenes
balls
nanotubes
curvature
Dangling bonds
hexagons
rings
closures
Carbon
topology
damping
Topology
Geometry
carbon
geometry

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)

Cite this

@article{d84e80d8eed140d2a88904c440660005,
title = "Fullerenes with non-positive Gaussian curvature: Holey-balls and holey-tubes",
abstract = "Classical fullerenes such as C60 and C70 need 12 pentagonal rings of carbon for the closure of the cage. These pentagons produce the positive Gaussian curvature which gives the characteristic spherical shape. In this paper we propose a new family of fullerene-like structures which do not have pentagonal rings (no positive Gaussian curvature), no dangling bonds, possesing hexagons and heptagons only. The topology of this new family of perforated fullerenes (holey-balls) and nanotubes (holey-tubes) is higher than classical fullerenes presenting genus 5,11 up to 21. Holey balls can be icosahedral (Ih) and cubic (Oh). The geometry, elastic stabilities and possible applications of holey-balls and holey-tubes are studied.",
author = "Humberto Terrones and {Terrones Maldonado}, Mauricio",
year = "1998",
month = "1",
day = "1",
doi = "10.1080/10641229809350238",
language = "English (US)",
volume = "6",
pages = "751--767",
journal = "Fullerenes Nanotubes and Carbon Nanostructures",
issn = "1536-383X",
publisher = "Taylor and Francis Ltd.",
number = "5",

}

Fullerenes with non-positive Gaussian curvature : Holey-balls and holey-tubes. / Terrones, Humberto; Terrones Maldonado, Mauricio.

In: Fullerene Science and Technology, Vol. 6, No. 5, 01.01.1998, p. 751-767.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Fullerenes with non-positive Gaussian curvature

T2 - Holey-balls and holey-tubes

AU - Terrones, Humberto

AU - Terrones Maldonado, Mauricio

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Classical fullerenes such as C60 and C70 need 12 pentagonal rings of carbon for the closure of the cage. These pentagons produce the positive Gaussian curvature which gives the characteristic spherical shape. In this paper we propose a new family of fullerene-like structures which do not have pentagonal rings (no positive Gaussian curvature), no dangling bonds, possesing hexagons and heptagons only. The topology of this new family of perforated fullerenes (holey-balls) and nanotubes (holey-tubes) is higher than classical fullerenes presenting genus 5,11 up to 21. Holey balls can be icosahedral (Ih) and cubic (Oh). The geometry, elastic stabilities and possible applications of holey-balls and holey-tubes are studied.

AB - Classical fullerenes such as C60 and C70 need 12 pentagonal rings of carbon for the closure of the cage. These pentagons produce the positive Gaussian curvature which gives the characteristic spherical shape. In this paper we propose a new family of fullerene-like structures which do not have pentagonal rings (no positive Gaussian curvature), no dangling bonds, possesing hexagons and heptagons only. The topology of this new family of perforated fullerenes (holey-balls) and nanotubes (holey-tubes) is higher than classical fullerenes presenting genus 5,11 up to 21. Holey balls can be icosahedral (Ih) and cubic (Oh). The geometry, elastic stabilities and possible applications of holey-balls and holey-tubes are studied.

UR - http://www.scopus.com/inward/record.url?scp=0032156585&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032156585&partnerID=8YFLogxK

U2 - 10.1080/10641229809350238

DO - 10.1080/10641229809350238

M3 - Article

AN - SCOPUS:0032156585

VL - 6

SP - 751

EP - 767

JO - Fullerenes Nanotubes and Carbon Nanostructures

JF - Fullerenes Nanotubes and Carbon Nanostructures

SN - 1536-383X

IS - 5

ER -