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Spin-Phonon Coupling and Slow-Magnetic Relaxation in Pristine Ferrocenium
Authors:Dr Martín Amoza  Dr Lindley Maxwell  Prof Núria Aliaga-Alcalde  Dr Silvia Gómez-Coca  Prof Eliseo Ruiz
Institution:1. Departament de Química Inorgànica i Orgànica and, Institut de Recerca de Química Teòrica i Computacional, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain;2. Departament de Química Inorgànica i Orgànica and, Institut de Recerca de Química Teòrica i Computacional, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain

Advanced Lithium and Industrial Minerals Research Center, Universidad de Antofagasta, Av. Universidad de Antofagasta, 02800 Antofagasta, Chile;3. ICREA, Institució Catalana de Recerca i Estudis Avançats, Passeig, Passeig Lluis Companys 23, 08010 Barcelona, Spain

Abstract:We report the spin dynamic properties of non-substituted ferrocenium complexes. Ferrocenium shows a field-induced single-molecule magnet behaviour in DMF solution while cobaltocene lacks slow spin relaxation neither in powder nor in solution. Multireference quantum mechanical calculations give a non-Aufbau orbital occupation for ferrocenium with small first excitation energy that agrees with the relatively large measured magnetic anisotropy for a transition metal S=1/2 system. The analysis of the spin relaxation shows an important participation of quantum tunnelling, Raman, direct and local-mode mechanisms which depend on temperature and the external field conditions. The calculation of spin-phonon coupling constants for the vibrational modes shows that the first vibrational mode, despite having a low spin-phonon constant, is the most efficient process for the spin relaxation at low temperatures. In such conditions, vibrational modes with higher spin-phonon coupling constants are not populated. Additionally, the vibrational energy of this first mode is in excellent agreement with the experimental fitted value obtained from the local-mode mechanism.
Keywords:ab initio calculations  magnetic properties  metallocenes  spin dynamics  spin-phonon coupling
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