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We present detailed calculations of low-energy spin dynamics in the ``ferricwheel'' systems Na:Fe_6 and Cs:Fe_8 in a magnetic field. We compute by exactdiagonalisation the low-energy spectra and matrix elements for total-spin andN'eel-vector components, and thus the time-dependent correlation functions ofthese operators. Comparison of our results with the semiclassical theory ofcoherent quantum tunnelling of the N'eel vector demonstrates the validity of atwo-state description for the low-energy dynamics of ferric wheels. We discussthe implications of our results for mesoscopic quantum coherent phenomena, andfor the experimental techniques to observe them, in molecular magnetic rings.Comment: 10 pages, 8 figures; considerably expanded discussion; to appear in  Eur. Phys. J.

Spin dynamics and coherent tunnelling in the molecular magnetic rings Fe $ \mathsf {_6}$ and Fe $ \mathsf {_8}$