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Fermi coupling is an intramolecular process, and therefore the same splitting is expected in the solid state and in solution, as was usually observed in the other mentioned cases. In first approximation, solvation should only broaden the IR absorption peaks, and therefore at least the envelope of the Fermi doublet should be present.
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One referee suggested to us that the broadness of the corresponding IR band in solution could also be explained by the presence of valence isomers in solution, where internal rotations, counterion positions, and solvation should be frozen at the electronic time scale and possibly also at the vibrational time scale.
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