Abstract
A Hückel model is developed for the bonds in buckminsterfullerene that simultaneously allows for bond alternation and the sphericity of the molecule. The theory is made self-consistent by comparison with the bond lengths determined by experiment and yields estimates of the bond orders and stretching force constants for the bonds in C 60. The theory also allows predictions to be made for buckminsterfullerene ions of icosahedral symmetry. Two doping trends are considered: the changes in bond lengths and the changes in the frequencies of the a g modes of vibration. It is found that the theory gives a good account of both trends.
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