Quantum solitons in the XXZ model with staggered external magnetic field

The 1-D 1/2-spin XXZ model with staggered external magnetic field, when restricting to low field, can be mapped into the quantum sine-Gordon model through bosonization: this assures the presence of soliton, antisoliton and breather excitations in it. In particular, the action of the staggered field opens a gap so that these physical objects are stable against energetic fluctuations. In the present work, this model is studied both analytically and numerically. On the one hand, analytical calculations are made to solve exactly the model through Bethe ansatz: the solution for the XX + h staggered model is found first by means of Jordan-Wigner transformation and then through Bethe ansatz; after this stage, efforts are made to extend the latter approach to the XXZ + h staggered model (without finding its exact solution). On the other hand, the energies of the elementary soliton excitations are pinpointed through static DMRG (Density Matrix Renormalization Group) for different values of the parameters in the hamiltonian. Breathers are found to be in the antiferromagnetic region only, while solitons and antisolitons are present both in the ferromagnetic and antiferromagnetic region. Their single-site z-magnetization expectation values are also computed to see how they appear in real space, and time-dependent DMRG is employed to realize quenches on the hamiltonian parameters to monitor their time-evolution. The results obtained reveal the quantum nature of these objects and provide some information about their features. Further studies and a better understanding of their properties could bring to the realization of a two-level state through a soliton-antisoliton pair, in order to implement a qubit.

Laserablation von oxidischen Multilagenstrukturen zur Untersuchung von heteroepitaktischen Grenzflächenzuständen

Die Deposition von dünnen, metallischen Schichten auf Silizium-Substraten stellt bereits seit Jahrzehnten die wichtigste Möglichkeit dar, um die wachsenden Anforderungen der Speichertechnologien zu erfüllen. Obwohl Multilagenstrukturen aus oxidischen Schichten eine nahezu unerschöpfliche Vielfalt an neuen Effekten bieten, kommen diese aktuell nur in Nischenanwendungen zum Einsatz. Der Fokus dieser Arbeit liegt auf dem Verständnis von Phänomenen, die nur an Grenzflächensystemen zu beobachten sind. Die Basis der Untersuchungen stellten die Präparation der Multilagenstrukturen durch Laserablation dar. Eine Untersuchung der strukturellen Eigenschaften von multiferroischen BiFeO3 (BFO)-Schichten erlaubte eine Analyse der Wachstumsmodi und der Symmetrie der Einheitszelle von BFO unter heteroepitaktischer Verspannung. Durch Piezokraftmikroskopie konnte die ferroelektrische Domänenstruktur dünner BFO-Schichten analysiert werden. Die Abbildung der magnetischen Domänenstruktur der ferromagnetischen La0,67Sr0,33MnO3 (LSMO)-Schicht und der antiferromagnetischen BFO-Schicht einer Bilagenstruktur durch Photoemissionselektronenmikroskopie erlaubte eine Analyse der Austauschkopplung an der Grenzfläche. Durch elektronische Rekonstruktion entsteht an der LaAlO3 (LAO) /SrTiO3 (STO)-Grenzfläche ein leitfähiger, quasi-zweidimensionaler Zustand. Dessen Transporteigenschaften wurden mit einem Schwerpunkt auf deren Beeinflussung durch ein elektrisches Feld charakterisiert. Diese Ergebnisse führten zur Implementierung einer ferroelektrischen BFO-Schicht zur Manipulation der Leitfähigkeit an der LAO/STO-Grenzfläche. Die Kontrolle des Widerstandes eines mikrostrukturierten Bereichs durch die Polarisation der BFO-Schicht erlaubt die Nutzung der Struktur als Speichertechnologie.

Neuartige kryogene Penning-Falle für den Nachweis von Spin-Übergängen eines Protons und Bestimmung seines g-Faktors

In dieser Arbeit wird der Entwurf, der Aufbau, die Inbetriebnahme und die Charakterisierung einer neuartigen Penning-Falle im Rahmen des Experiments zur Bestimmung des g-Faktors des Protons präsentiert. Diese Falle zeichnet sich dadurch aus, dass die Magnetfeldlinien eines äußeren homogenen Magnetfeldes durch eine ferromagnetische Ringelektrode im Zentrum der Falle verzerrt werden. Der inhomogene Anteil des resultierenden Magnetfeldes, die sogenannte magnetische Flasche, lässt sich durch den Koeffizient B2 = 297(10) mT/mm2 des Terms zweiter Ordnung der Ortsabhängigkeit des Feldes quantifizieren. Eine solche ungewöhnlich starke Feldinhomogenität ist Grundvoraussetzung für den Nachweis der Spinausrichtung des Protons mittels des kontinuierlichen Stern-Gerlach-Effektes. Dieser Effekt basiert auf der im inhomogenen Magnetfeld entstehenden Kopplung des Spin-Freiheitsgrades des gefangenen Protons an eine seiner Eigenfrequenzen. Ein Spin-Übergang lässt sich so über einen Frequenzsprung detektieren. Dabei ist die nachzuweisende Änderung der Frequenz proportional zu B2 und zum im Fall des Protons extrem kleinen Verhältnis zwischen seinem magnetischen Moment nund seiner Masse. Die durch die benötigte hohe Inhomogenität des Magnetfeldes bedingten technischen Herausforderungen erfordern eine fundierte Kenntnis und Kontrolle der Eigenschaften der Penning-Falle sowie der experimentellen Bedingungen. Die in der vorliegenden Arbeit entwickelte Penning-Falle ermöglichte den erstmaligen zerstörungsfreien Nachweis von Spin-Quantensprüngen eines einzelnen gefangenen Protons, was einen Durchbruch für das Experiment zur direkten Bestimmung des g-Faktors mit der angestrebten relativen Genauigkeit von 10−9 darstellte. Mithilfe eines statistischen Verfahrens ließen sich die Larmor- und die Zyklotronfrequenz des Protons im inhomogenen Magnetfeld der Falle ermitteln. Daraus wurde der g-Faktor mit einer relativen Genauigkeit von 8,9 × 10−6 bestimmt. Die hier vorgestellten Messverfahren und der experimentelle Aufbau können auf ein äquivalentes Experiment zur Bestimmung des g-Faktors des Antiprotons zum Erreichen der gleichen Messgenauigkeit übertragen werden, womit der erste Schritt auf dem Weg zu einem neuen zwingenden Test der CPT-Symmetrie im baryonischen Sektor gemacht wäre.

Prediction of new crystal structures under extreme conditions

One of the most important challenges in chemistry and material science is the connection between the contents of a compound and its chemical and physical properties. In solids, these are greatly influenced by the crystal structure.rnrnThe prediction of hitherto unknown crystal structures with regard to external conditions like pressure and temperature is therefore one of the most important goals to achieve in theoretical chemistry. The stable structure of a compound is the global minimum of the potential energy surface, which is the high dimensional representation of the enthalpy of the investigated system with respect to its structural parameters. The fact that the complexity of the problem grows exponentially with the system size is the reason why it can only be solved via heuristic strategies.rnrnImprovements to the artificial bee colony method, where the local exploration of the potential energy surface is done by a high number of independent walkers, are developed and implemented. This results in an improved communication scheme between these walkers. This directs the search towards the most promising areas of the potential energy surface.rnrnThe minima hopping method uses short molecular dynamics simulations at elevated temperatures to direct the structure search from one local minimum of the potential energy surface to the next. A modification, where the local information around each minimum is extracted and used in an optimization of the search direction, is developed and implemented. Our method uses this local information to increase the probability of finding new, lower local minima. This leads to an enhanced performance in the global optimization algorithm.rnrnHydrogen is a highly relevant system, due to the possibility of finding a metallic phase and even superconductor with a high critical temperature. An application of a structure prediction method on SiH12 finds stable crystal structures in this material. Additionally, it becomes metallic at relatively low pressures.

Field-free control of magnetism in nanostructured materials probed with high resolution X-ray microscopy

Magnetic memories are a backbone of today's digital data storage technology, where the digital information is stored as the magnetic configuration of nanostructured ferromagnetic bits. Currently, the writing of the digital information on the magnetic memory is carried out with the help of magnetic fields. This approach, while viable, is not optimal due to its intrinsically high energy consumption and relatively poor scalability. For this reason, the research for different mechanisms that can be used to manipulate the magnetic configuration of a material is of interest. In this thesis, the control of the magnetization of different nanostructured materials with field-free mechanisms is investigated. The magnetic configuration of these nanostructured materials was imaged directly with high resolution x-ray magnetic microscopy. rnFirst of all, the control of the magnetic configuration of nanostructured ferromagnetic Heusler compounds by fabricating nanostructures with different geometries was analyzed. Here, it was observed that the magnetic configuration of the nanostructured elements is given by the competition of magneto-crystalline and shape anisotropy. By fabricating elements with different geometries, we could alter the point where these two effects equilibrate, allowing for the possibility to tailor the magnetic configuration of these nanostructured elements to the required necessities.rnThen, the control of the magnetic configuration of Ni nanostructures fabricated on top of a piezoelectric material with the magneto-elastic effect (i.e. by applying a piezoelectric strain to the Ni nanostructures) was investigated. Here, the magneto-elastic coupling effect gives rise to an additional anisotropy contribution, proportional to the strain applied to the magnetic material. For this system, a reproducible and reversible control of the magnetic configuration of the nanostructured Ni elements with the application of an electric field across the piezoelectric material was achieved.rnFinally, the control of the magnetic configuration of La0.7Sr0.3MnO3 (LSMO) nanostructures with spin-polarized currents was studied. Here, the spin-transfer torque effect was employed to achieve the displacement of magnetic domain walls in the LSMO nanostructures. A high spin-transfer torque efficiency was observed for LSMO at low temperatures, and a Joule-heating induced hopping of the magnetic domain walls was observed at room temperatures, allowing for the analysis of the energetics of the domain walls in LSMO.rnThe results presented in this thesis give thus an overview on the different field-free approaches that can be used to manipulate and tailor the magnetization configuration of a nanostructured material to the various technological requirements, opening up novel interesting possibilities for these materials.

Origin of the spin Seebeck effect

Der Spin Seebeck Effekt repräsentiert einen neuartigen Spin kalorischen Effekt mit vorteilhaften und aussichtsreichen Eigenschaften für Anwendungen in den Gebieten der Spintronik und Thermoelektrik.rnIn dieser Arbeit präsentieren wir eine umfangreiche Untersuchung des Spin Seebeck Effekts in isolierenden, magnetischen Granaten und geben Antworten zum kontrovers diskutierten Ursprung des Effekts. Um dieses Ziel zu erreichen, haben wir die Abhängigkeit des Spin Seebeck Effekts von der Dicke des Ferromagneten, der Temperatur, der Stärke des magnetisches Feldes, der Grenzflächen und des Detektormaterials, sowie Kombinationen dieser Parameter gemessen. Im Zuge dessen haben wir das Wachstum der untersuchten magnetischen Granate optimiert und eine umfassende Analyse der strukturellen und magnetischen Parameter durchgeführt, um Einflüsse der Probenqualität auszuschließen. Des Weiteren zeigte eine Untersuchung des magnetoresistiven Effekts, welcher als mögliche Ursache des Effekts galt, in Kombination mit einer Studie des Messaufbaus, dass parasitäre Einflüsse auf das Messergebnis ausgeschlossen werden können. Unsere Ergebnisse zeigen, dass der Spin Seebeck Effekt mit zunehmender Dicke des Ferromagneten eine Sättigung des Signals aufweist. Diese hängt zudem von der Temperatur ab, da mit abnehmender Temperatur die Sättigung erst bei dickeren Filmen auftritt. Außerdem fanden unsere Messungen ein Maximum des Spin Seebeck Effekts für Temperaturen unterhalb der Raumtemperatur, welcher sowohl von der Dicke des Materials als auch der Magnetfeldstärke und dem Detektormaterial beeinflusst wird. In Messungen bei hohen magnetischen Feldstärken beobachteten wir eine Unterdrückung des Messsignals, dessen Ursache mithilfe von Simulationen auf den magnonischen Ursprung des Spin Seebeck Effekts zurückgeführt werden kann. Dies unterstreicht, dass der Effekt auf vom Ferromagneten emittierten Magnonen basiert. Im letzten Abschnitt dieser Arbeit präsentieren wir Messungen in einem bislang nicht untersuchten ferrimagnetischen Material, welche zwei Vorzeichenwechsel des Spin Seebeck Effekts als Funktion der Temperatur aufzeigen. Dieses bisher unbekannte Signalverhalten betont, dass der Effekt aus einem komplexen Zusammenspiel der magnonischen Moden resultiert und zusätzlich vom Detektormaterial abhängt.rnSomit tragen unsere Ergebnisse und Beobachtungen im hohen Maße zur Beantwortung der Frage nach dem Ursprungs des Spin Seebeck Effekts bei und zeigen neuartige bisher nicht beobachtete Effekte, welche ein neues Kapitel für das Gebiet der Spin Kaloritronik eröffnen.

Modification of the magnetic properties of a heterometallic wheel by inclusion of a Jahn-Teller distorted Cu(II) ion

An investigation into the physical consequences of including a Jahn-Teller distorted Cu(II) ion within an antiferromagnetically coupled ring, [R(2)NH(2)][Cr(7)CuF(8)((O(2)C(t)Bu)(16))] is reported. Inelastic neutron scattering (INS) and electron paramagnetic resonance (EPR) spectroscopic data are simulated using a microscopic spin Hamiltonian, and show that the two Cr-Cu exchange interactions must be inequivalent. One Cr-Cu exchange is found to be antiferromagnetic and the other ferromagnetic. The geometry of the Jahn-Teller elongation is deduced from these results, and shows that a Jahn-Teller elongation axis must lie in the plane of the Cr(7)Cu wheel; the elongation is not observed by X-ray crystallography, due to positional disorder of the Cu site within the wheel. An electronic structure calculation confirms the structural distortion of the Cu site.

Controlling electronic and magnetic properties of ultra narrow multilayered nanowires

Interest in the study of magnetic/non-magnetic multilayered structures took a giant leap since Grünberg and his group established that the interlayer exchange coupling (IEC) is a function of the non-magnetic spacer width. This interest was further fuelled by the discovery of the phenomenal Giant Magnetoresistance (GMR) effect. In fact, in 2007 Albert Fert and Peter Grünberg were awarded the Nobel Prize in Physics for their contribution to the discovery of GMR. GMR is the key property that is being used in the read-head of the present day computer hard drive as it requires a high sensitivity in the detection of magnetic field. The recent increase in demand for device miniaturization encouraged researchers to look for GMR in nanoscale multilayered structures. In this context, one dimensional(1-D) multilayerd nanowire structure has shown tremendous promise as a viable candidate for ultra sensitive read head sensors. In fact, the phenomenal giant magnetoresistance(GMR) effect, which is the novel feature of the currently used multilayered thin film, has already been observed in multilayered nanowire systems at ambient temperature. Geometrical confinement of the supper lattice along the 2-dimensions (2-D) to construct the 1-D multilayered nanowire prohibits the minimization of magnetic interaction- offering a rich variety of magnetic properties in nanowire that can be exploited for novel functionality. In addition, introduction of non-magnetic spacer between the magnetic layers presents additional advantage in controlling magnetic properties via tuning the interlayer magnetic interaction. Despite of a large volume of theoretical works devoted towards the understanding of GMR and IEC in super lattice structures, limited theoretical calculations are reported in 1-D multilayered systems. Thus to gauge their potential application in new generation magneto-electronic devices, in this thesis, I have discussed the usage of first principles density functional theory (DFT) in predicting the equilibrium structure, stability as well as electronic and magnetic properties of one dimensional multilayered nanowires. Particularly, I have focused on the electronic and magnetic properties of Fe/Pt multilayered nanowire structures and the role of non-magnetic Pt spacer in modulating the magnetic properties of the wire. It is found that the average magnetic moment per atom in the nanowire increases monotonically with an ~1/(N(Fe)) dependance, where N(Fe) is the number of iron layers in the nanowire. A simple model based upon the interfacial structure is given to explain the 1/(N(Fe)) trend in magnetic moment obtained from the first principle calculations. A new mechanism, based upon spin flip with in the layer and multistep electron transfer between the layers, is proposed to elucidate the enhancement of magnetic moment of Iron atom at the Platinum interface. The calculated IEC in the Fe/Pt multilayered nanowire is found to switch sign as the width of the non-magnetic spacer varies. The competition among short and long range direct exchange and the super exchange has been found to play a key role for the non-monotonous sign in IEC depending upon the width of the Platinum spacer layer. The calculated magnetoresistance from Julliere's model also exhibit similar switching behavior as that of IEC. The universality of the behavior of exchange coupling has also been looked into by introducing different non-magnetic spacers like Palladium, Copper, Silver, and Gold in between magnetic Iron layers. The nature of hybridization between Fe and other non-magnetic spacer is found to dictate the inter layer magnetic interaction. For example, in Fe/Pd nanowire the d-p hybridization in two spacer layer case favors anti-ferromagnetic (AFM) configuration over ferromagnetic (FM) configuration. However, the hybridization between half-filled Fe(d) and filled Cu(p) state in Fe/Cu nanowire favors FM coupling in the 2-spacer system.

Spin-strain coupling in a 3-D transition metal oxides

ab-initio Hartree Fock (HF), density functional theory (DFT) and hybrid potentials were employed to compute the optimized lattice parameters and elastic properties of perovskite 3-d transition metal oxides. The optimized lattice parameters and elastic properties are interdependent in these materials. An interaction is observed between the electronic charge, spin and lattice degrees of freedom in 3-d transition metal oxides. The coupling between the electronic charge, spin and lattice structures originates due to localization of d-atomic orbitals. The coupling between the electronic charge, spin and crystalline lattice also contributes in the ferroelectric and ferromagnetic properties in perovskites. The cubic and tetragonal crystalline structures of perovskite transition metal oxides of ABO3 are studied. The electronic structure and the physics of 3-d perovskite materials is complex and less well considered. Moreover, the novelty of the electronic structure and properties of these perovskites transition metal oxides exceeds the challenge offered by their complex crystalline structures. To achieve the objective of understanding the structure and property relationship of these materials the first-principle computational method is employed. CRYSTAL09 code is employed for computing crystalline structure, elastic, ferromagnetic and other electronic properties. Second-order elastic constants (SOEC) and bulk moduli (B) are computed in an automated process by employing ELASTCON (elastic constants) and EOS (equation of state) programs in CRYSTAL09 code. ELASTCON, EOS and other computational algorithms are utilized to determine the elastic properties of tetragonal BaTiO3, rutile TiO2, cubic and tetragonal BaFeO3 and the ferromagentic properties of 3-d transition metal oxides. Multiple methods are employed to crosscheck the consistency of our computational results. Computational results have motivated us to explore the ferromagnetic properties of 3-d transition metal oxides. Billyscript and CRYSTAL09 code are employed to compute the optimized geometry of the cubic and tetragonal crystalline structure of transition metal oxides of Sc to Cu. Cubic crystalline structure is initially chosen to determine the effect of lattice strains on ferromagnetism due to the spin angular momentum of an electron. The 3-d transition metals and their oxides are challenging as the basis functions and potentials are not fully developed to address the complex physics of the transition metals. Moreover, perovskite crystalline structures are extremely challenging with respect to the quality of computations as the latter requires the well established methods. Ferroelectric and ferromagnetic properties of bulk, surfaces and interfaces are explored by employing CRYSTAL09 code. In our computations done on cubic TMOs of Sc-Fe it is observed that there is a coupling between the crystalline structure and FM/AFM spin polarization. Strained crystalline structures of 3-d transition metal oxides are subjected to changes in the electromagnetic and electronic properties. The electronic structure and properties of bulk, composites, surfaces of 3-d transition metal oxides are computed successfully.

[Head movements during simulated direct digital radiography]

The aim of this study was to simulate direct-digital cephalometric procedures and to record the head movements of probands. This study was prompted by the Committee for Insurance Matters of the Swiss National Invalidity Insurance which does not accept scanned digital cephalometric radiographs as a basis for its decisions. The reason for this is the required scanning time of several seconds during which even slight head movements can lead to kinetic blurring and landmark displacement. Incorrect angular measurements may result. By means of a Sirognathograph and a cephalostat of non-ferromagnetic material, the head movements of a total of 264 subjects were recorded in three dimensions, with a scanning time of up to 25 seconds. In a second series, the influence of a chin support to reduce head movements was also tested. The results of the first series of tests showed that, with an increasing scan time, movements became greater, mostly in the sagittal plane, and that maximum displacements could occur already at the start of the recording. With a scan time of 10 seconds the median movement amplitude in the vertical dimension was 2.14 mm. The second series of tests revealed a significant reduction in head movements in all dimensions owing to an additional stabilizing chin support. To minimize head movements, scanning times must be reduced and additional head stabilizing elements together with existing ones are necessary.

Phase diagram with an enhanced spin-glass region of the mixed Ising–XY magnet LiHo{x}Er{1-x}F{4}

We present the experimental phase diagram of LiHoxEr1-xF4, a dilution series of dipolar-coupled model magnets. The phase diagram was determined using a combination of ac susceptibility and neutron scattering. Three unique phases in addition to the Ising ferromagnet LiHoF4 and the XY antiferromagnet LiErF4 have been identified. Below x = 0.86, an embedded spin-glass phase is observed, where a spin glass exists within the ferromagnetic structure. Below x = 0.57, an Ising spin glass is observed consisting of frozen needlelike clusters. For x ∼ 0.3–0.1, an antiferromagnetically coupled spin glass occurs. A reduction of TC(x) for the ferromagnet is observed which disobeys the mean-field predictions that worked for LiHoxY1-xF4.

Magnetic anisotropy in clinopyroxene and orthopyroxene single crystals

Pyroxenes constitute an important component in mafic igneous and metamorphic rocks. They often possess a prismatic habit, and their long axis, the crystallographic c axis, helps define a lineation in a textured rock. Anisotropy of magnetic susceptibility (AMS) serves as a fabric indicator in igneous and metamorphic rocks. If a rock’s AMS is carried by pyroxenes, it can be related to their crystallographic preferred orientation and degree of alignment. This requires knowing the intrinsic AMS of pyroxene single crystals. This study provides a comprehensive low-field and high-field AMS investigation of chemically diverse orthopyroxene and clinopyroxene crystals in relation to crystal structure, chemical composition, oxidation state of Fe, and the possible presence of ferromagnetic inclusions. The paramagnetic anisotropy, extracted from high-field data, shows clear relationships to crystallographic directions and Fe concentration both in clinopyroxene and orthopyroxene. In the diopside-augite series, the intermediate susceptibility is parallel to b, and the maximum is at 45° to the c axis. In aegirine, the intermediate axis remains parallel to b, while the maximum susceptibility is parallel to c. The AMS of spodumene depends on Fe concentration. In enstatite, the maximum susceptibility aligns with c and the minimum with b, and in the case of hypersthene, the maximum susceptibility is normal to the exsolution lamellae. Magnetite inclusions within augite possess a ferromagnetic anisotropy with consistent orientation of the principal susceptibilities, which dominates the low-field anisotropy. These results provide better understanding of magnetic anisotropy in pyroxenes and form a solid basis for interpretation of magnetic fabrics in pyroxene-bearing rocks.

High-Spin Molecules: Synthesis, X-ray Characterization, and Magnetic Behavior of Two New Cyano-Bridged Ni II 9 Mo V 6 and Ni II 9 W V 6 Clusters with a S = 12 Ground State

The preparations, X-ray structures, and magnetic characterizations are presented for two new pentadecanuclear cluster compounds:  [NiII{NiII(MeOH)3}8(μ-CN)30{MV(CN)3}6]·xMeOH·yH2O (MV = MoV (1) with x = 17, y = 1; MV = WV (2) with x = 15, y = 0). Both compounds crystallize in the monoclinic space group C2/c, with cell dimensions of a = 28.4957(18) Å, b = 19.2583(10) Å, c = 32.4279(17) Å, β = 113.155(6)°, and Z = 4 for 1 and a = 28.5278(16) Å, b = 19.2008(18) Å, c = 32.4072(17) Å, β = 113.727(6)°, and Z = 4 for 2. The structures of 1 and 2 consist of neutral cluster complexes comprising 15 metal ions, 9 NiII and 6 MV, all linked by μ-cyano ligands. Magnetic susceptibilities and magnetization measurements of compounds 1 and 2 in the crystalline and dissolved state indicate that these clusters have a S = 12 ground state, originating from intracluster ferromagnetic exchange interactions between the μ-cyano-bridged metal ions of the type NiII−NC−MV. Indeed, these data show clearly that the cluster molecules stay intact in solution. Ac magnetic susceptibility measurements reveal that the cluster compounds exhibit magnetic susceptibility relaxation phenomena at low temperatures since, with nonzero dc fields, χ‘ ‘M has a nonzero value that is frequency dependent. However, there appears no out-of-phase (χ‘ ‘M) signal in zero dc field down to 1.8 K, which excludes the expected signature for a single molecule magnet. This finding is confirmed with the small uniaxial magnetic anisotropy value for D of 0.015 cm-1, deduced from the high-field, high-frequency EPR measurement, which distinctly reveals a positive sign in D. Obviously, the overall magnetic anisotropy of the compounds is too low, and this may be a consequence of a small single ion magnetic anisotropy combined with the highly symmetric arrangement of the metal ions in the cluster molecule.