Abstract
Analytical expressions for the vibronic states and energyspectrum of the icosahedral G⊗(g⊕h)Jahn-Teller system are derived. From these states, expressionsfor first- and second-order vibronic reduction factors aredetermined as a function of the strengths of the coupling of theG orbital to the g and h modes of vibration. Thepossibility of the vibronic ground state being a singlet Astate, rather than the G state that would be expected in theabsence of vibronic coupling, is explored. The reduction factorsobtained provide a convenient basis for the modelling of spectrainvolving some of the excited states of the fullerene moleculeC60 and related ions.
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