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2 Molecular nanomagnets as milestones for the study of low-dimensional magnetism: fundamental physics and applications magnetism: fundamental physics and applications Wide-band solid-state NMR at a glance Molecular spin dynamics vs temperature Low temperature quantum level crossing

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4 Possible applications of MNMs : High density magnetic memory High density magnetic memory Magneto- optical recording Quantum computing Spintronics Magnetic sensors…

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Highly symmetric geometry Ideal physical framework for low dimensional magnetism ( 0-D and/or 1-D) 5 As all molecular clusters, finite number of ions : accurate spin Hamiltonian and exact calculation of energy levels and eigenfunctions As all molecular clusters, studying bulk means studying single molecule as J inter-mol << J intra-mol Put just the equation. B is at subscript

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Spin topology of a Quasi-Zero-Dimensional magnetic system...... Open molecular ring : peculiar spin dynamics Interesting quantum behaviors due to real or anti- level crossing 6 Finite size system Reduced number of spins Discrete energy levels structure Quantum phenomena

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By NMR we are measuring the response of nuclei but, through it, we are studying the physical properties of the whole system (electrons, nuclei & phonons) phonon Nuclei are a local probe But in interaction with the whole system 7 How is it possible ?

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1 H NMR 19 F NMR 53 Cr NMR 1 H NMR Abundance proton (High sensitivity ) Study of NMR relaxation rates and spectra 53 Cr NMR 19 F NMR 8 Advanced tools for molecular spin dynamics investigation

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9 The temperature and magnetic field dependence of 1 H FWHM is similar to other antiferromagnetic molecular rings, but ……. From 1 H NMR spectrum it is possible to extract the Full Width at Half Maximum – FWHM, given by :

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10 For T<20K, condensation in the G.S. Dramatic Increase!!! … the gap…. First excited state S T =1, M s =+1

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Two alternatives ; 11 Theoretical calculation in progress…

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12 approx. M …. field, due to the contribution of electronic (molecular) magnetic moments, becomes: Put e.g. instead of i.e.

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13 NMR spectral broadening due to the increase of the electronic magnetization value Calculated energy levels in external magnetic field M(H) curve at T=2K non-magnetic Ground State S T = 0 magnetic Ground State S T = 1 magnetic Ground State S T = 2

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NMR spectra broadening by passing of crossing level 14 Calculated energy levels in an external magnetic field 1 H NMR spectra after the second level crossing (S T = 1 S T = 2) Wrong x-axis label Use 1 H instead of poroton Put 3° circle correctly

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15 Future investigation: spin-lattice relaxation rate study of spin dynamics (also level crossing problem details and mix of eigenfunctions) Anti level crossing; Mixed functionsReal level crossing; Unmixed functions

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16 Future issues : Theoretical investigation of spin dynamics vs temperature Quantum effects due to Real / Anti level crossing studied by means of low-T 1 H NMR spin-lattice relaxation rate Put : among NMR and 1/T1. 1 is at subscript … effects of M increase when quantum level crossings occur

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17 January 15 th 2013 Italy

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18 T 2 relaxation curve T 1 relaxation curve NMR spectrum This slide can also be cut You can put at the end as an example slide

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