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ABSTRACT: This chapter takes a microscopic view of quantum tunneling of magnetization
(QTM) in single-molecule magnets (SMMs), focusing on the interplay between
exchange and anisotropy. Careful consideration is given to the relationship
between molecular symmetry and the symmetry of the spin Hamiltonian that
dictates QTM selection rules. Higher order interactions that can modify the
usual selection rules are shown to be very sensitive to the exchange strength.
In the strong coupling limit, the spin Hamiltonian possess rigorous $D_{2h}$
symmetry (or $C_{\infty}$ in high-symmetry cases). In the case of weaker
exchange, additional symmetries may emerge through mixing of excited spin
states into the ground state. Group theoretic arguments are introduced to
support these ideas, as are extensive results of magnetization hysteresis and
electron paramagnetic resonance measurements.
02/2013;
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ABSTRACT: The heterobimetallic complex [Cu(II)Mn(III)(L) 2 (py) 4 ](ClO 4)·EtOH (1) built using the pro-ligand 2,2'-biphe-nol (LH 2), contains a rare example of a Jahn–Teller compressed Mn(III) centre. Dc magnetic susceptibility measurements on 1 reveal a strong antiferromagnetic exchange between the Cu(II) and Mn(III) ions mediated through the phenolate O-atoms (J = −33.4 cm −1), with magnetisation measurements at low temperatures and high fields suggesting significant anisotropy. Simulations of high-field and high fre-quency powder EPR data suggest a single-ion anisotropy D Mn(III) = +4.45 cm −1 . DFT calculations also yield an antiferromagnetic exchange for 1, though the magnitude is overestimated (J DFT = −71 cm −1). Calcu-lations reveal that the antiferromagnetic interaction essentially stems from the Mn(d x 2 −y 2)–Cu(d x 2 −y 2) interaction. The computed single-ion anisotropy and cluster anisotropy also correlates well with exper-iment. A larger cluster anisotropy for the S = 3/2 state compared to the single-ion anisotropy of Mn(III) is rationalised on the basis of orbital mixing and various contributions that arise due to the spin–orbit interaction.
Dalton Transactions 01/2013; 42:207. · 3.84 Impact Factor
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ABSTRACT: The synthesis and properties are reported of a rare example of a Mn(12) single-molecule magnet (SMM) in truly axial symmetry (tetragonal, I4̅). [Mn(12)O(12)(O(2)CCH(2)Bu(t))(16)(MeOH)(4)]·MeOH (3·MeOH) was synthesized by carboxylate substitution on [Mn(12)O(12)(O(2)CMe)(16)(H(2)O)(4)]·2MeCO(2)H·4H(2)O (1). The complex was found to possess an S = 10 ground state, as is typical for the Mn(12) family, and displayed both frequency-dependent out-of-phase AC susceptibility signals and hysteresis loops in single-crystal magnetization vs DC field sweeps. The loops also exhibited quantum tunneling of magnetization steps at periodic field values. Single-crystal, high-frequency electron paramagnetic resonance spectra on 3·MeOH using frequencies up to 360 GHz revealed perceptibly sharper signals than for 1. Moreover, careful studies as a function of the magnetic field orientation did not reveal any satellite peaks, as observed for 1, suggesting that the crystals of 3 are homogeneous and do not contain multiple Mn(12) environments. In the single-crystal (55)Mn NMR spectrum in zero applied field, three well-resolved peaks were observed, which yielded hyperfine and quadrupole splitting at three distinct sites. However, observation of a slight asymmetry in the Mn(4+) peak was detectable, suggesting a possible decrease in the local symmetry of the Mn(4+) site. Spin-lattice (T(1)) relaxation studies were performed on single crystals of 3·MeOH down to 400 mK in an effort to approach the quantum tunneling regime, and fitting of the data using multiple functions was employed. The present work and other recent studies continue to emphasize that the new generation of truly high-symmetry Mn(12) complexes are better models for thorough investigation of the physical properties of SMMs than their predecessors such as 1.
Inorganic Chemistry 12/2012; · 4.60 Impact Factor
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Nelly Berg,
Thomas N Hooper,
Junjie Liu,
Christopher C Beedle,
C Saurabh,
Kumar Singh,
Gopalan Rajaraman,
Stergios Piligkos, Stephen Hill,
Euan K Brechin,
Leigh F Jones
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ABSTRACT: The heterobimetallic complex [Cu(II)Mn(III)(L) 2 (py) 4 ](ClO 4)·EtOH (1) built using the pro-ligand 2,2′-biphenol (LH 2), contains a rare example of a Jahn–Teller compressed Mn(III) centre. Dc magnetic susceptibility measurements on 1 reveal a strong antiferromagnetic exchange between the Cu(II) and Mn(III) ions mediated through the phenolate O-atoms (J = −33.4 cm −1), with magnetisation measurements at low temperatures and high fields suggesting significant anisotropy. Simulations of high-field and high frequency powder EPR data suggest a single-ion anisotropy D Mn(III) = +4.45 cm −1 . DFT calculations also yield an antiferromagnetic exchange for 1, though the magnitude is overestimated (J DFT = −71 cm −1). Calculations reveal that the antiferromagnetic interaction essentially stems from the Mn(d x 2 −y 2)–Cu(d x 2 −y 2) interaction. The computed single-ion anisotropy and cluster anisotropy also correlates well with experiment. A larger cluster anisotropy for the S = 3/2 state compared to the single-ion anisotropy of Mn(III) is rationalised on the basis of orbital mixing and various contributions that arise due to the spin–orbit interaction.
Dalton Transactions. 10/2012;
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ABSTRACT: The dimeric complex [Mn(III)(2)(Naphth-sao)(2)(Naphth-saoH)(2)(MeOH)(2)]·4MeOH (1·4MeOH), acts as a simple model complex with which to examine the magneto-structural relationship in polymetallic, oxime-bridged Mn(III) complexes. Dc magnetic susceptibility studies reveal that ferromagnetic exchange is mediated through the heavily twisted Mn-O-N-Mn moiety (J = +1.24 cm(-1)) with magnetisation measurements at low temperatures and high fields suggesting significant anisotropy. Simulations of high field, high frequency EPR data reveal a single ion anisotropy, D((Mn(III))) = -3.94 cm(-1). Theoretical studies on simplified model complexes of 1 reveal that calculated values of the exchange coupling and the anisotropy are in excellent agreement with experiment, with the weak ferromagnetism resulting from an accidental orthogonality between the Mn-N-O plane of the first Mn(III) ion and the Jahn-Teller axis of the second Mn(III) ion.
Dalton Transactions 05/2012; 41(27):8340-7. · 3.84 Impact Factor
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ABSTRACT: Successive reorientations of the Jahn-Teller axes associated with the Cu(II) ions accompany a series of pronounced structural transitions in the title compound, as is shown by X-ray crystallography and high-frequency EPR measurements. The second transition forces a dimerization involving two thirds of the Cu(II) sites due to ejection of one of the water molecules from the coordination sphere.
Angewandte Chemie International Edition 05/2012; 51(30):7490-4. · 13.45 Impact Factor
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ABSTRACT: The synthesis, X-ray crystallography, magnetic properties, and high-field electron paramagnetic resonance (HFEPR) of a new heptanuclear manganese complex [Mn(7)(heamp)(6)](ClO(4))(2)·4CH(2)Cl(2)·H(2)O (complex 2), in which heampH(3) is 2-[N,N-di(2-hydroxyethyl)aminomethyl]phenol (compound 1), is reported. Complex 2 has a hexagonal, disk-shaped topology and contains six Mn(III) ions and a central Mn(II) ion. It crystallizes in the monoclinic space group P2(1)/c with two molecular orientations. Consideration of the cluster topology, together with variable-temperature and variable-field DC magnetic susceptibility data, suggest that complex 2 exists in a half-integer, S = (19)/(2) ± 1 spin ground state, with appreciable uniaxial zero-field splitting (D = -0.16 cm(-1)). AC magnetic susceptibility measurements clearly show out-of-phase signals, which are frequency- and temperature-dependent, indicating slow magnetization relaxation behavior. An analysis of the relaxation data employing the Arrhenius formula yielded an effective relaxation barrier of 12.9 cm(-1). Simulations of HFEPR studies agree with the assignment of an S ≈ (19)/(2) spin ground state, with g = 1.96, D = -4.71 GHz (-0.16 cm(-1)), and a longitudinal fourth-order zero-field splitting parameter B(4)(0) = -2.7 × 10(-4) GHz (-9.0 × 10(-6) cm(-1)).
Inorganic Chemistry 04/2012; 51(8):4448-57. · 4.60 Impact Factor
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ABSTRACT: We discuss the effects of the spin-orbit interaction on heavy-atom organic magnets with specific reference to a series of isostructural sulfur- and selenium-based radical ferromagnets of tetragonal space group P4̅ 21m. By using a perturbative approach, we show the spin-orbit effects lead to a pairwise anisotropic exchange interaction between neighboring radicals that provides an easy magnetic axis running parallel to the c-axis. Estimates of the magnitude of this magnetic anisotropy explain the significant increase in the coercive fields by virtue of selenium incorporation. Complementing this theoretical discussion are the results of ferromagnetic resonance studies, which provide an experimental verification of both the magnitude and symmetry of the spin-orbit terms. Taken as a whole, the results underscore the importance of heavy atoms and crystal symmetry in the design of molecular ferromagnets with large magnetic anisotropy and high ordering temperatures.
Physical Review B 03/2012; 85(9-85):094430. · 3.69 Impact Factor
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ABSTRACT: We consider quantum tunneling of magnetization (QTM) in single-molecule magnets (SMMs) possessing idealized C3 symmetry. We do so by mapping the spectrum of a Mn3III SMM obtained via diagonalization of a multispin (three s = 2 spins) Hamiltonian onto that of a giant-spin model with spin S = 6. Rotation of the easy axes of the MnIII atoms away from the C3 axis leads to the emergence of the Ô43(≡1/2[Ŝz,Ŝ+3+Ŝ−3]) operator in the giant-spin model. This unfreezes odd-k QTM resonances and generates threefold patterns of Berry-phase interference minima in all resonances, including k = 0, which shifts from zero longitudinal field.
Phys. Rev. B. 01/2012; 85(1).
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ABSTRACT: The serendipitous self-assembly of the complex [Mn(III)(2)Zn(II)(2)(Ph-sao)(2)(Ph-saoH)(4)(hmp)(2)] (1),whose magnetic core consists solely of two symmetry equivalent Mn(iii) ions linked by two symmetry equivalent -N-O- moieties, provides a relatively simple model complex with which to study the magneto-structural relationship in oxime-bridged Mn(III) cluster compounds. Dc magnetic susceptibility measurements reveal ferromagnetic (J = +2.2 cm(-1)) exchange resulting in an S = 4 ground state. Magnetisation measurements performed at low temperatures and high fields reveal the presence of significant anisotropy, with ac measurements confirming slow relaxation of the magnetisation and Single-Molecule Magnetism behaviour. Simulations of high field, high frequency EPR data reveal a single ion anisotropy, D((Mn(III))) = -3.83 cm(-1). DFT studies on a simplified model complex of 1 reveal a pronounced dependence of the exchange coupling on the relative twisting of the oxime moiety with respect to the metal ion positions, as suggested previously in more complicated [Mn(III)(3)] and [Mn(III)(6)] clusters.
Dalton Transactions 08/2011; 40(39):9999-10006. · 3.84 Impact Factor
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ABSTRACT: The synthesis, structure, and magnetic properties of a ligand-modified Mn(4) dicubane single-molecule magnet (SMM), [Mn(4)(Bet)(4)(mdea)(2)(mdeaH)(2)](BPh(4))(4), are presented, where the cationic SMM units are significantly separated from neighboring molecules in the crystal lattice. There are no cocrystallized solvate molecules, making it an ideal candidate for single-crystal magnetization hysteresis and high-frequency electron paramagnetic resonance studies. Increased control over intermolecular interactions in such materials is a crucial factor in the future application of SMMs.
Inorganic Chemistry 08/2011; 50(16):7367-9. · 4.60 Impact Factor
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ABSTRACT: High-field, single-crystal EPR spectroscopy on a tetragonal bisdiselenazolyl ferromagnet has provided evidence for the presence of easy-axis magnetic anisotropy, with the crystallographic c axis as the easy axis and the ab plane as the hard plane. The observation of a zero-field gap in the resonance frequency is interpreted in terms of an anisotropy field several orders of magnitude larger than that observed in light-heteroatom, nonmetallic ferromagnets and comparable (on a per-site basis) to that observed in hexagonal close packed cobalt. The results indicate that large spin-orbit-induced magnetic anisotropies, typically associated with 3d-orbital-based ferromagnets, can also be found in heavy p-block radicals, suggesting that there may be major opportunities for the development of heavy p-block organic magnetic materials.
Journal of the American Chemical Society 06/2011; 133(21):8126-9. · 9.91 Impact Factor
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ABSTRACT: A new octanuclear manganese cluster [Mn(8)(Hpmide)(4)O(4)(EtCOO)(6)](ClO(4))(2) (1) is achieved by employing Hpmide as the ligand, and this paper examines the synthesis, X-ray structure, high-field electron paramagnetic resonance (HFEPR), magnetization hysteresis loops and magnetic susceptibilities. Complex 1 was prepared by two different methods, and hence, was crystallized in two space groups: P3(2)21 for 1a and P3(1)21 for 1b. Each molecule possesses four Mn(II) and four Mn(III) ions. The metal-oxo framework of complex 1 consists of three face-sharing cubes with manganese ions on alternate corners. The four Mn(III) cations have their Jahn-Teller elongation axes roughly parallel to the c axis of the crystal lattice. The dc magnetic susceptibility measurements reveal a spin-frustration effect in this compound. The ac magnetic susceptibilities, as well as the magnetization hysteresis measurements, clearly establish that complex 1a is a single-molecule-magnet (SMM) with a kinetic energy barrier (10.4 cm(-1)) for spin reversal. HFEPR further confirms that complex 1a is a new SMM with a magnetoanisotropy and quantized energy levels. However, interpretation of the complete set of measurements in terms of a well defined spin ground state is not possible due to the spin frustration.
Dalton Transactions 09/2010; 39(42):10160-8. · 3.84 Impact Factor
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ABSTRACT: This perspectives article takes a broad view of the current understanding of magnetic bistability and magnetic quantum tunneling in single-molecule magnets (SMMs), focusing on three families of relatively simple, low-nuclearity transition metal clusters: spin S = 4 Ni(II)(4), Mn(III)(3) (S = 2 and 6) and Mn(III)(6) (S = 4 and 12). The Mn(III) complexes are related by the fact that they contain triangular Mn(III)(3) units in which the exchange may be switched from antiferromagnetic to ferromagnetic without significantly altering the coordination around the Mn(III) centers, thereby leaving the single-ion physics more-or-less unaltered. This allows for a detailed and systematic study of the way in which the individual-ion anisotropies project onto the molecular spin ground state in otherwise identical low- and high-spin molecules, thus providing unique insights into the key factors that control the quantum dynamics of SMMs, namely: (i) the height of the kinetic barrier to magnetization relaxation; and (ii) the transverse interactions that cause tunneling through this barrier. Numerical calculations are supported by an unprecedented experimental data set (17 different compounds), including very detailed spectroscopic information obtained from high-frequency electron paramagnetic resonance and low-temperature hysteresis measurements. Comparisons are made between the giant spin and multi-spin phenomenologies. The giant spin approach assumes the ground state spin, S, to be exact, enabling implementation of simple anisotropy projection techniques. This methodology provides a basic understanding of the concept of anisotropy dilution whereby the cluster anisotropy decreases as the total spin increases, resulting in a barrier that depends weakly on S. This partly explains why the record barrier for a SMM (86 K for Mn(6)) has barely increased in the 15 years since the first studies of Mn(12)-acetate, and why the tiny Mn(3) molecule can have a barrier approaching 60% of this record. Ultimately, the giant spin approach fails to capture all of the key physics, although it works remarkably well for the purely ferromagnetic cases. Nevertheless, diagonalization of the multi-spin Hamiltonian matrix is necessary in order to fully capture the interplay between exchange and local anisotropy, and the resultant spin-state mixing which ultimately gives rise to the tunneling matrix elements in the high symmetry SMMs (ferromagnetic Mn(3) and Ni(4)). The simplicity (low-nuclearity, high-symmetry, weak disorder, etc.) of the molecules highlighted in this study proves to be of crucial importance. Not only that, these simple molecules may be considered among the best SMMs: Mn(6) possesses the record anisotropy barrier, and Mn(3) is the first SMM to exhibit quantum tunneling selection rules that reflect the intrinsic symmetry of the molecule.
Dalton Transactions 05/2010; 39(20):4693-707. · 3.84 Impact Factor
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ABSTRACT: Two new members of the Mn(12) family of single-molecule magnets (SMMs), [Mn(12)O(12)(O(2)CCH(2)Bu(t))(16)(Bu(t)OH)(H(2)O)(3)].2Bu(t)OH (3.2Bu(t)OH) and [Mn(12)O(12)(O(2)CCH(2)Bu(t))(16)(C(5)H(11)OH)(4)] (4) (C(5)H(11)OH is 1-pentanol), are reported. They were synthesized from [Mn(12)O(12)(O(2)CMe)(16)(H(2)O)(4)].2MeCO(2)H.4H(2)O (1) by carboxylate substitution and crystallization from the appropriate alcohol-containing solvent. Complexes 3 and 4 are new members of the recently established [Mn(12)O(12)(O(2)CCH(2)Bu(t))(16)(solv)(4)] (solv = H(2)O, alcohols) family of SMMs. Only one bulky Bu(t)OH can be accommodated into 3, and even this causes significant distortion of the [Mn(12)O(12)] core. Variable-temperature, solid-state alternating current (AC) magnetization studies were carried out on complexes 3 and 4, and they established that both possess an S = 10 ground state spin and are SMMs. However, the magnetic behavior of the two compounds was found to be significantly different, with 4 showing out-of-phase AC peaks at higher temperatures than 3. High-frequency electron paramagnetic resonance (HFEPR) studies were carried out on single crystals of 3.2Bu(t)OH and 4, and these revealed that the axial zero-field splitting constant, D, is very different for the two compounds. Furthermore, it was established that 4 is the Mn(12) SMM with the highest kinetic barrier (U(eff)) to date. The results reveal alcohol substitution as an additional and convenient means to affect the magnetization relaxation barrier of the Mn(12) SMMs without major change to the ligation or oxidation state.
Inorganic Chemistry 02/2010; 49(4):1325-36. · 4.60 Impact Factor
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ABSTRACT: The synthesis and characterisation of a large family of trimetallic [Mn(III)(3)] Single-Molecule Magnets is presented. The complexes reported can be divided into three categories with general formulae (type 1) [Mn(III)(3)O(R-sao)(3)(X)(sol)(3-4)] (where R = H, Me, (t)Bu; X = (-)O(2)CR (R = H, Me, Ph etc); sol = py and/or H(2)O), (type 2) [Mn(III)(3)O(R-sao)(3)(X)(sol)(3-5)] (where R = Me, Et, Ph, (t)Bu; X = (-)O(2)CR (R = H, Me, Ph etc); sol = MeOH, EtOH and/or H(2)O), and (type 3) [Mn(III)(3)O(R-sao)(3)(sol)(3)(XO(4))] (where R = H, Et, Ph, naphth; sol = py, MeOH, beta-pic, Et-py, (t)Bu-py; X = Cl, Re). We show that deliberate structural distortions of the molecule can be used to tune the observed magnetic properties. In the crystals the ferromagnetic triangles are involved in extensive inter-molecular H-bonding which is clearly manifested in the magnetic behaviour, producing exchange-biased SMMs. These interactions can be removed by ligand replacement to give "simpler" SMMs.
Dalton Transactions 11/2009; · 3.84 Impact Factor
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ChemPhysChem 09/2009; 10(14):2397-400. · 3.41 Impact Factor
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ABSTRACT: A novel angle-swept high-frequency EPR (HFEPR) technique is described that enables in-situ alignment of single-crystal samples containing low-symmetry magnetic species such as single-molecule magnets (SMMs). This cavity-based method involves recording spectra at fixed frequency and field, while sweeping the field orientation. The method is applied to the study of a low-symmetry Jahn-Teller variant of the spin S = 10 Mn12 SMMs (e.g. Mn12-acetate). The low-symmetry complex is also an SMM, but with a significantly reduced barrier to magnetization reversal (Ueff ~ 43 K) and, hence, faster relaxation at low temperature in comparison with the high-symmetry species. Mn12 complexes that crystallize in lower symmetry structures exhibit a tendency for one or more of the Mn(III) Jahn-Teller axes to be abnormally oriented, which is believed to be the cause of the faster relaxation. An extensive HFEPR study of [Mn12O12(O2CCH2But)16(H2O)4].CH2Cl2.MeNO2 is presented in order to examine the influence of the abnormally oriented Jahn-Teller axis on the effective barrier. The reduction in the axial anisotropy, D, is found to be insufficient to account for the nearly 40% reduction in Ueff. However, the reduced symmetry of the Mn12 core gives rise to a very significant 2nd order transverse anisotropy, E ~ D/6. This, in turn, causes a significant mixing of spin projection states well below the top of the classical barrier. Thus, magnetic quantum tunneling is the dominant factor contributing to the barrier reduction in fast relaxing Mn12 SMMs. Comment: 37 pages, incl. 13 figures
08/2009;
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Inorganic Chemistry 06/2009; · 4.60 Impact Factor
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Ross Inglis,
Leigh F Jones,
Constantinos J Milios,
Saiti Datta,
Anna Collins,
Simon Parsons,
Wolfgang Wernsdorfer, Stephen Hill,
Spyros P Perlepes,
Stergios Piligkos,
Euan K Brechin
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ABSTRACT: The synthesis and characterisation of a large family of hexametallic [Mn(III)(6)] Single-Molecule Magnets of general formula [Mn(III)(6)O(2)(R-sao)(6)(X)(2)(sol)(4-6)] (where R = H, Me, Et; X = (-)O(2)CR' (R' = H, Me, Ph etc) or Hal(-); sol = EtOH, MeOH and/or H(2)O) are presented. We show how deliberate structural distortions of the [Mn(3)O] trinuclear moieties within the [Mn(6)] complexes are used to tune their magnetic properties. These findings highlight a qualitative magneto-structural correlation whereby the type (anti- or ferromagnetic) of each Mn(2) pairwise magnetic exchange is dominated by the magnitude of each individual Mn-N-O-Mn torsion angle. The observation of magneto-structural correlations on such large polymetallic complexes is rare and represents one of the largest studies of this kind.
Dalton Transactions 06/2009; · 3.84 Impact Factor
