By Peter W. Stephens
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Extra info for Physics and Chemistry of Fullerenes
In fact this turns out to be quite straightforward, at least for small n, because every possible fullerene structure can be “peeled” like an orange. Fig. 2 shows a 2D representation of icosahedral Cb0,in which the 32 faces are numbered according to their order in this “orange peel” scheme. Note in particular that each face after the first borders its immediate predecessor, so that the “peel comes off the orange” in a single continuous spiral. In fact the entire Huckel theory adjacency matrix for the structure can be reconstructed from the order of the penta- 17 107 These equations can easily be verified by building a molecular model of each fullerme, progressively adding each new face in the spiral at a time.
As noted previously, the presence of only four strong bands is expected for the free, truncated icosahedral molecule with its unusually high symmetty. Also present are a number of other weak infrared lines which may be due to other causes, among which may be absorption by the C70molecule or symmetry-breaking produced (for example) by isotopes other than "C in the C, molecule or by mutual interaction of the c60 molecules in the solid. Weaker features at -2,330 and 2,190 cm-', located in the vicinity of the free CO2 and CO stretching modes, may imply some attachment of the CO2 or CO to a small fraction of the total number of C, molecules.
Almlof, Chem. Phys. Letters 135 ( 1987) 357. W. Fowler, P. Lazzeretti and R. Zanazi, Chem. Phys. Letters 165 ( 1990) 79. E. Scuseria, Chem. Phys. Letters 176 ( 1991 ) 423. N. A. M. Tedder, The chemical bond (Wiley, New York, 1978) ch. 9. A. Cotton, Chemical applications ofgroup theory (Wiley, New York, 197 1 ) ch. 7. W. Fowler, Chem. Phys. Letters I3 I ( 1986) 444. 703. W. Fowler and J. Woolrich, Chem. Phys. Letters 127 ( 1986) 78. D. E. Stanton, J . Am. Chem. Soc. 108 ( 1986) 2469. W. Fowler, private communication ( 1991 ).