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

Humberto Terrones, Mauricio Terrones

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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
Issue number5
StatePublished - 1998

All Science Journal Classification (ASJC) codes

  • General Chemical Engineering


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