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Fowler, P. W. and Redmond, D. B. (1992) Symmetry aspects of bonding in carbon clusters: the leapfrog transformation. Theoretica Chimica Acta, 83 (5-6). pp. 367-375. ISSN 0040-5744
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Abstract
Starting from any fullerene cage ofn carbon atoms it is possible to construct a fullerene cage of 3n atoms with a closed electronic shell. This geometrical ‘leapfrog’ transformation leads to the ‘magic numbers’ 60 + 6k (k=0, 2, 3, ...) for neutral carbon clusters. Symmetry relations are derived for the electronic configurations, vibrational modes and numbers of NMR chemical shifts of these closed-shell clusters. All symmetry-related properties of the leapfrog fullerene follow from those of the parent, without the need for explicit construction of the larger cluster.
| Item Type: | Article |
|---|---|
| Keywords: | Carbon clusters; Leapfrog transformation; Symmetry; Fullerene; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 20802 |
| Identification Number: | 10.1007/BF01113062 |
| Depositing User: | IR Editor |
| Date Deposited: | 04 Nov 2025 16:51 |
| Journal or Publication Title: | Theoretica Chimica Acta |
| Publisher: | Springer |
| Refereed: | Yes |
| Related URLs: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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