An interpretation of the large shifts of the electronicg-factors of the relaxed excited state (RES) ofF-centres relative to theg-factor of the free electron is given. Theseg-shifts are quantitatively explained by admixture of higher excited states to the RES through the magnetic interaction. This interpretation avoids the serious difficulties and contradictions which arise when one tries to explain theg-factor shifts exclusively within the framework of the vibronic model. As a byproduct new values for the mean radius of the RES wavefunctions are given.
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