The C60 fullerene molecule has been the subject of intense study for four decades, starting with its identification in the mass spectra of carbon soot in 1985. In this review, we focus on the achievement of ultra-high-resolution spectroscopy of gas phase neutral C60, heralded by the observation of quantum state-resolved infrared spectra in 2019. C60 is now the largest and most symmetric molecule for which rovibrational quantum state resolution has been achieved, motivating the use of large molecules for studying complex quantum systems with symmetries and degrees of freedom not readily available in other composite systems. We discuss the theory, challenges, and experimental techniques of high-resolution C60 spectroscopy and recent experimental results probing the structure, dynamics, and interactions of C60 enabled by quantum state resolution.
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