Proton NMR study in hexanuclear manganese single-molecule magnets M. Belesi, 1 X. Zong, 1 F. Borsa, 1,2 C. J. Milios, 3 and S. P. Perlepes 3 1 Ames Laboratory-USDOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA 2 Dipartimento di Fisica “A. Volta,” ed Unità CNISM, Università di Pavia, I27100, Pavia, Italy 3 Department of Chemistry, University of Patras, 265 00 Patras, Greece Received 5 November 2006; published 12 February 2007 We report a detailed proton NMR study, as a function of temperature and external magnetic field, of two hexanuclear manganese magnetic molecule clusters with chemical formula Mn 6 O 2 O 2 CMe 2 salox 6 EtOH 4 ·4EtOH in short Mn 6 acetateand Mn 6 O 2 O 2 CPh 2 salox 6 EtOH 4 ·4EtOH henceforth Mn 6 ben- zoate. Both clusters are characterized by a ferrimagnetic ground state with total spin S T =4 and a large uniaxial anisotropy, which gives rise to an effective energy barrier for the relaxation of the magnetization of the order of U eff 28 K. The main characteristics of the 1 H NMR spectra measured between 1.5 K and room tempera- ture for different fieldsare explained in terms of the dipolar hyperfine interaction of the proton nuclei with the adjacent magnetic ions. At low temperatures T 3.5 K, the spectra broaden significantly and become struc- tured due to the slowing down of the local fluctuating fields at the proton sites, caused by the gradual freezing of the Mn 3+ moments into the S T = 4 collective ground state. The spin dynamics of the exchange coupled magnetic ions was also probed by proton spin-spin relaxation rate T 2 -1 and spin-lattice relaxation rate T 1 -1 measurements. On decreasing the temperature, a gradual enhancement of both relaxation rates is observed, followed by a significant decrease of the signal intensity wipe-out effect. The low frequency regime of the spin fluctuations as probed by T 1 -1 , can be described and analyzed in terms of a single characteristic correlation frequency c T, which is interpreted as the lifetime broadening of the discrete magnetic energy levels due to spin-phonon interactions. DOI: 10.1103/PhysRevB.75.064414 PACS numbers: 75.50.Xx, 76.60.-k, 75.75.+a I. INTRODUCTION The recent progress in the field of molecular chemistry has made feasible the synthesis of a large variety of crystal- line structures built from identical molecular units. Each such unit contains a relatively small number of magnetic transition metal ions embedded in a large, nonmagnetic or- ganic matrix. These ions are strongly coupled via intramo- lecular super-exchange interactions J of typical order of a few tens of Kelvin, while being magnetically “shielded” from ions belonging to adjacent molecular units due to the presence of the large organic matrices. Hence, the intermo- lecular magnetic interactions are typically of dipolar origin and thus, for most cases, can be neglected. 1 Accordingly, the measurements in bulk crystalline samples reflect the mag- netic properties of each “single-domain particle.” The research in the field of molecular magnetism has been very active with particularly emphasis being given to the study of molecular clusters with high spin ground states and large, negative magnetoanisotropy such as the Mn 12 , Fe 8 , and Fe 4 . The interest in these so-called single molecule magnets SMM’s, relies on the remarkable manifestation of purely quantum effects at low T, such as macroscopic quan- tum tunneling of the magnetization 24 and quantum interfer- ence effects. 5 Of particular experimental and theoretical interest has also been the study of the electronic spin correlations. One can follow the evolution of these correlations from the high temperature regime T J / k B , where thermal fluctuations dominate and the ions behave independently zero dimen- sional paramagnet, down to intermediate T T J / k B , where correlations have been established by the exchange interactions, and finally to very low T where each molecular unit occupies its collective ground state. In addition, and because of the discreteness of the magnetic energy spectrum, the effects of the various small interactions of the exchange coupled spins with the excitations of the thermal bath for instance phononsare also of great interest. Such small in- teractions cause a long-time decay of the spin fluctuations, which in turn can be probed by dynamic NMR measure- ments. For instance, for the so-called antiferromagnetic AFMring systems, it has been found that the characteristic cut-off frequency of the long-time decay of the electronic spin correlations decreases by a few orders of magnitude when decreasing the temperature below J / k B , and this is manifested in measurements of T 1 -1 by an enhancement at T J / k B Refs. 6 and 7. In SMM’s, a similar enhancement has also been observed in T 1 -1 and T 2 -1 , but the corresponding analysis had been hindered by a simultaneous gradual loss of the signal intensity. A detailed analysis of this so called “wipe-out effect” in the SMM’s can be found in Ref. 8, which includes some of our data from the two present SMM’s. Here, we present and analyze the full body of our data and provide additional information on the static and dynamic properties of these two SMM’s. The two hexanuclear molecular clusters of the present study belong to a class of SMM’s consisting exclusively of Mn 3+ ions. 9 Except for their different ligands and the fact that the Mn 6 benzoate comprises two nearly identical hexa- nuclear molecules per unit cell, these two samples have quite similar molecular structures. Each molecule consists of two exchange coupled triangular spin units. The competition be- tween antiferromagnetic and ferromagnetic exchange inter- actions stabilizes a ferrimagnetic ground state of collective PHYSICAL REVIEW B 75, 064414 2007 1098-0121/2007/756/0644147©2007 The American Physical Society 064414-1