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The superposition of the quantum rotational motion (tunneling) of theencapsulated Sc2C2 complex with the classical rotational motion of thesurrounding C84 molecule in a powder crystal of Sc2C2@C84 fullerite isinvestigated by theory. Since the quantum rotor is dragged along by the C84molecule, any detection method which couples to the quantum rotor (in casu theC2 bond of the Sc2C2 complex also probes the thermally excited classical motion(uniaxial rotational diffusion and stochastic meroaxial jumps) of thesurrounding fullerene. The dynamic rotation-rotation response functions infrequency space are obtained as convolutions of quantum and classical dynamiccorrelation functions. The corresponding Raman scattering laws are derived, theoverall shape of the spectra and the width of the resonance lines are studiedas functions of temperature. The results of the theory are confronted withexperimental low-frequency Raman spectra on powder crystals of Sc2C2@C84 [M.Krause et al., Phys. Rev. Lett. 93, 137403 (2004)]. The agreement of theorywith experiment is very satisfactory in a broad temperature range

Superposition of quantum and classical rotational motions in Sc2C2@C84 fullerite