Abstract
BY analogy with the positively curved carbon networks that comprise the fullerenes1–3, it has been suggested4 that negative curvature might be possible in graphitic carbon sheets, giving rise to extended structures corresponding to periodic minimal surfaces5 that divide space into two disjoint labyrinths. Whereas the positive curvature of fullerenes results from the presence of five-membered rings, negative curvature would derive from seven-membered rings. Here we present calculations of the cohesive energy and bulk moduli of two such hypothetical, negatively curved carbon networks. We find that both have a cohesive energy smaller than that of graphite but significantly greater than that of C60, even though the proportion of odd-membered rings is comparable. We therefore suggest that it is worth scrutinizing the insoluble residue generated in the carbon-arc preparation of fullerenes6 for possible evidence of fragments of negatively curved graphitic carbon.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Kroto, H. W., Heath, J. R., O'Brien, S. C., Curl, R. F. & Smalley, R. E. Nature 318, 162–163 (1985).
Kroto, H. W. Science 242, 1139–1145 (1988).
Curl, R. F. & Smalley, R. E. Science 242, 1017 (1988).
Mackay, A. L. & Terrones, H. Nature 352, 762 (1991).
Schwarz, H. A. Gesammelte mathematische Abhandlungen (Springer, Berlin, 1890).
Krätschmer, W., Lamb, L. D., Fostiropoulos, K. & Huffman, D. R. Nature 347, 354–358 (1990).
Pickett, W. E. Comp. Phys. Rep. 3, 115–197 (1989).
Teter, M. P., Payne, M. C. & Allan, D. C. Phys. Rev. B40, 12255–12263 (1989).
Monkhorst, H. J. & Pack, J. D. Phys. Rev. B13, 5188–5192 (1976).
Schulman, J. M. & Disch, R. L. J. chem. Soc. Chem. Commun. 6, 411–412 (1991).
Estermann, M., McCusker, L. B., Baerlocher, C., Merrouche, A. & Kessler, H. Nature 352, 320–322 (1991).
Kroto, H. W. & McKay, K. Nature 331, 328–331 (1988).
Fischer, J. E. et al. Science 252, 1288–1290 (1991).
Brewer, L. Lawrence Berkeley Laboratory Rep. No. LBL-3720.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lenosky, T., Gonze, X., Teter, M. et al. Energetics of negatively curved graphitic carbon. Nature 355, 333–335 (1992). https://doi.org/10.1038/355333a0
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/355333a0
This article is cited by
-
A metal-free photoactive nitrogen-doped carbon nanosolenoid with broad absorption in visible region for efficient photocatalysis
Nature Communications (2023)
-
Creation of negatively curved polyaromatics enabled by annulative coupling that forms an eight-membered ring
Nature Catalysis (2020)
-
Large second harmonic generation in alloyed TMDs and boron nitride nanostructures
Scientific Reports (2018)
-
Capturing Gases in Carbon Honeycomb
Journal of Low Temperature Physics (2017)
-
At sixes and sevens, and eights, and nines: schwarzites p 3, p = 7, 8, 9
Structural Chemistry (2017)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.
