Abstract

We study the phonon-induced relaxation dynamics in the heterometallic ${\text{Cr}}_{7}\text{Ni}$ ring. By assuming that spin-phonon coupling occurs through the modulation of local crystal fields, we investigate the decay of time correlations of molecular observables, such as fluctuations of the cluster magnetization. Single-crystal $^{1}\text{H}$ nuclear magnetic resonance measurements have been performed for two orthogonal orientations of the applied magnetic field. The nuclear spin-lattice relaxation rate $1/{T}_{1}$ probes fluctuations of specific molecular observables, thus allowing to determine the magnetoelastic coupling strength and to calculate the magnetization relaxation time as well as phonon-induced level lifetimes. The knowledge of these time scales is crucial to control the spin dynamics of the magnetic cluster in view of the potential technological applications.

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