The icosahedral multipoles that break the spherical symmetry in C20, C60 and C80 are identified as the L = 6, 10, and 12 components respectively. In all these cages the dominant structural feature of the valence shell is the influence of the pentagonal defects.
A. Ceulemans, S. Compernolle and E. Lijnen, Phys. Chem. Chem. Phys., 2004, 6, 238 DOI: 10.1039/B312639K
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