We study theoretically the spin dynamics of antiferromagnetic molecular rin
gs, such as the ferric wheel Fe-10. For a single nuclear or impurity spin c
oupled to one of the electron spins of the ring,we calculate nuclear and el
ectronic spin correlation functions and show that nuclear magnetic resonanc
e (NMR) and electron spin resonance (ESR) techniques can be used to detect
coherent tunneling of the Neel vector in these rings. The location of the N
MR/ESR resonances gives the tunnel splitting and its linewidth an upper bou
nd on the decoherence rate of the electron spin dynamics. We illustrate the
experimental feasibility of our proposal with estimates for Fe-10 molecule
s.