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the original symmetry to a subgroup of D 3 h . Which subgroup? Try to gener-
alize this example to a general rule.
4.12 Below is shown the Schlegel diagram for the C 24 fullerene. It is a cage struc-
ture with hexagonal faces at top and bottom, capping a crown of twelve pen-
tagons around its waist. The valence shell of this structure is formed by a set
of 24 radial p σ -orbitals, one on each carbon. Determine the point group of this
molecule and the irreps describing the valence shell. (Hint: divide the set of
24 orbitals into two separate orbits.)
References
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Bureau of Standards, Gaithersburg, Maryland (1972)
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Verlag, Heidelberg (1995)
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