Di-n-propyl dicyanofumarate (DnPrDCF) and di-isopropyl dicyanofumarate (DiPrDCF) have been used as one-electron acceptors in the synthesis of charge-transfer salt magnets with decamethylmetallocenes, MCp*2 (M = Mn, Cr). Salts of each acceptor with each metallocene have been characterized and the structures of the chromium analogues have been solved. The two acceptors are structurally similar to dimethyl dicyanofumarate (DMeDCF) and diethyl dicyanofumarate (DEtDCF), which have been previously studied and found to form charge-transfer salt magnets with the aforementioned decamethylmetallocenes. A typical structural motif is present in these types of charge-transfer salts which allows for the comparison of magnetic properties based on the length or size of the alkyl group of the dialkyl dicyanofumarate. Some trends were established based on the magnetic properties of the homologous series including ordering temperature/bulkiness of the alkyl group and intrastack distances/theta values. Correlation of magnetic and structural properties may give some insight into "through-space" magnetic coupling, of which little is understood. / Master of Science

Molecule-based magnets (molecular magnets) have attracted much interest in recent decades both from an experimental and from a theoretical point of view, not only because of their interesting physical effects, but also because of their potential applications: e.g., molecular spintronics, quantum computing, high density information storage, and nanomedicine. Molecular magnets are at the very bottom of the possible size of nanomagnets. On reducing the size of objects down to the nanoscale, the coexistence of classical properties and quantum properties in these systems may be observed. In additional, molecular magnets exist with structural variability and permit selective substitution of the ligands in order to alter their magnetic properties. Therefore, these characteristics make such molecules suitable candidates for studying molecular magnetism. They can be used as model systems for a detailed understanding of interplay between structural and magnetic properties of them in order to optimize desired magnetic properties. This thesis considers the investigation of magnetic properties of several new transition metal molecular compounds via different experimental techniques (continuous wave electron spin resonance (CW ESR), pulse ESR, high-field/high-frequency ESR (HF-ESR) and static magnetization techniques). The first studied compounds were mono- and trinuclear Cu(II)-(oxamato, oxamidato)/bis(oxamidato) type compounds. First, all components of the g-tensor and the tensors of onsite ACu and transferred AN HF interactions of mononuclear Cu(II)- bis(oxamidato) compounds have been determined from CW ESR measurements at 10 GHz and at room temperature and pulse ELDOR detected NMR measurements at 35 GHz and at 20 K. The spin density distributions of the mononuclear compounds have been calculated from the experimentally obtained HF tensors. The magnetic exchange constants J of their corresponding trinuclear compounds were determined from susceptibility measurements versus temperature. Our discussion of the spin density distribution of the mononuclear compounds together with the results of the magnetic characterization of their corresponding trinuclear compounds show that the spin population of the mononuclear compounds is in interplay with the J values of their corresponding trinuclear compounds. The second studied compounds were polynuclear Cu(II)-(bis)oxamato compounds with ferrocene and ferrocenium ligands. The magnetic properties of these compounds were studied by susceptibility measurements versus temperature to determine J values. In addition, the ESR technique is used to investigate the magnetic properties of the studied compounds because they contain two different magnetic ions and because only the ESR technique can selectively excite different electron spin species. These studies together with geometries of the ferrocenium ligands determined by crystallographic studies indicate that the magnetic interaction between a central Cu(II) and a Fe(III) ions changed from the antiferromagnetic coupling to the ferromagnetic coupling when a stronger distortion of the axial symmetry in the feroccenium cation exists. Therefore, the degree of the distortion of the feroccenium cation is a control parameter for the sign of the interaction between the central Cu(II) ion and the Fe(III) spins of the studied compounds. The last two studied molecular magnets were a binuclear Ni(II) compound (Ni(II)-dimer) and a cube-like tetranuclear compound with a [Fe4O4]-cube core (Fe4-cube). HF-ESR measurements enabled us to determine the g-factor, the sign, and the absolute value of the magnetic anisotropy parameters. Using this information together with static magnetization measurements, the J value and the magnetic ground state of the studied compounds have been determined. In Ni(II)-dimer, two Ni(II) ions, each having a spin S = 1, are coupled antiferromagnetically that leads to a ground state with total spin Stot = 0. An easy plane magnetic anisotropy with a preferable direction for each Ni(II) ion is found. For Fe4-cube, a ground state with total spin Stot = 8 has been determined. The analysis of the frequency dependence and temperature dependence of HF-ESR lines reveals an easy axis magnetic anisotropy (Dcube = -22 GHz (-1 K)) corresponding to an energy barrier of U = 64 K for the thermal relaxation of the magnetization. These results indicate that Fe4-cube is favorable to show single molecular magnet (SMM) behavior.

In this thesis we have developed electronic and spin model Hamiltonians to understand magnetism in molecule based magnets like photomagnets, high-nuclearity transition metal complexes and single molecule magnets. In chapter 1, we provide an overview of molecular magnets. Here, we present a survey on the literature available on molecule based magnets. The chapter throws light on various phenomena found in molecular magnetic systems that range in dimensions from 3D down to molecular dimension. This is followed by a brief introduction to high-nuclearity transition metal complexes and single molecule magnets (SMMs). In the last two sections of this chapter, we discuss Light Induced Excited Spin State Trapping (LIESST) and photomagnetism in some molecular systems. Chapter 2 discusses various theoretical models that have been developed for magnetism. We begin with an introduction to the spin Hamiltonian and the origin of direct and kinetic exchange in simple systems and extend it to larger systems. Then we introduce the concept of superexchange proposed by Goodenough and Kanamori, followed by introduction to anisotropic Dzyalashinskii-Moria (DM) exchange and Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions. We also discuss molecular magnetic anisotropy, long-range magnetic interactions and higher order exchange interactions. These are effective model Hamiltonians that do not provide microscopic origin of magnetism, hence electronic model Hamiltonians need to be invoked. We introduce electronic model Hamiltonians like Huckel, Hubbard and Pariser-Parr-Popple (PPP) models and then present numerical techniques like valencebond (VB) and constant MS techniques that are used to exactly solve these model Hamiltonians. We present a many-body electronic model involving the active orbitals on the transition metal ions for photomagnetism in MoCu6 cluster, in chapter 3. The model is exactly solved using a valence bond approach. The ground state solution of the model is highly degenerate and is spanned by five S=0 states, nine S=1 states, five S=2 states and one S=3 state. The orbital occupancies in all these states correspond to six Cu(II) ions and one diamagnetic Mo(IV ) ion. The optically excited chargetransfer (CT) state in each spin sector occurs at nearly the same excitation energy of 2.993 eV for physically reasonable parameter values. We find that the excitation cross sections in different spin manifolds are similar in magnitude. The lifetime of the S=3 excited states is expected to be the largest as the number of states below that energy is very sparse in this spin sector compared to other spin sectors. This shows that photomagnetism is not due to preferential excitation to the S = 3 state. The inputs from the electronic model allows us to develop a kinetic model. In this model, photomagnetism is attributed to a long lived S=3 charge transfer excited state for which there appears to be sufficient experimental evidence. Based on this postulate, we model photomagnetism by including internal conversions and intersystem crossings. The key feature of the model is the assumption of existence of two kinds of S=3 states; one of which has no direct pathway for internal conversion and the other characterized by slow kinetics for internal conversion to the lowenergy states. The trapped S=3 state can decay via a thermally activated barrier to the other S = 3 state. The experimental XMT vs. T variation for two different irradiation times are fitted using Arrhenius dependence of the rate constants in the model. Conventional superexchange rules predict ferromagnetic exchange interaction between Ni(II) and M (M = MoV ,WV , NbIV ). Recent experiments show that in some systems this superexchange is antiferromagnetic. To understand this feature, in chapter 4 we develop a microscopic model for Ni(II) - M systems and solve it exactly using a valence bond approach. We identify direct exchange coupling, splitting of the magnetic orbitals and interorbital electron repulsions, on the M site as the parameters which control the ground state spin of various clusters of the Ni(II) - M system. We present quantum phase diagrams which delineate the high-spin and low-spin ground states in the parameter space. We fit the spin gap to a spin Hamiltonian and extract the effective exchange constant within the experimentally observed range, for reasonable parameter values. We also find a region in the parameter space where an intermediate spin state is the ground state. These results indicate that the spin spectrum of the microscopic model cannot be reproduced by a simple Heisenberg exchange Hamiltonian. The electronic model for A − B systems has been employed to reproduce the experimental magnetic data of the { NiW }2 system. In chapter 5, we present a theoretical approach to calculate the molecular magnetic anisotropy parameters, DM and EM for single molecule magnets in any eigenstate of the exchange Hamiltonian, treating the anisotropy Hamiltonian as a perturbation. Neglecting inter-site dipolar interactions, we calculate molecular magnetic anisotropy in a given total spin state from the known single-ion anisotropies of the transition metal centers. The method is applied to Mn12Ac and Fe8 in their ground and first few excited eigenstates, as an illustration. We have also studied the effect of orientation of local anisotropies on the molecular anisotropy in various eigenstates of the exchange Hamiltonian. We find that, in case of Mn12Ac, the molecular anisotropy depends strongly on the orientation of the local anisotropies and the spin of the state. The DM value of Mn12Ac is almost independent of the orientation of the local anisotropy of the core Mn(IV ) ions. In the case of Fe8, the dependence of molecular anisotropy on the spin of the state in question is weaker. We have also calculated the anisotropy constants for several sets of exchange parameters and find that in Mn12Ac the anisotropy increases with spin excitation gap while in Fe8, the anisotropy is almost independent of the gap. We have modeled the magnetic property of Nb6Ni12 cluster using a spin Hamiltonian in chapter 6. From Goodenough-Kanamori rules we should expect a ferromagnetic exchange between Nb and Ni ions. However, the magnetic studies indicate that the interaction is antiferromagnetic. We give reasons for the anomaly and fit the XMT data using an antiferromagnetic Heisenberg model. The observed XMT value at 2 K however does not correspond to ferrimagnetic ground state of Stot=9 and we invoke intermolecular interaction to explain this feature.

The idea of miniaturizing devices down to the nanoscale where quantum ffeffects become relevant demands a detailed understanding of the interplay between classical and quantum properties. Therefore, characterization of newly produced nanoscale materials is a very important part of the research in this fifield. Studying structural and magnetic properties of nano- and molecular magnets and the interplay between these properties reveals new interesting effects and suggests ways to control and optimize the respective material. The main task of this thesis is investigating the magnetic properties of molecular magnetic clusters and magnetic nanoparticles recently synthesized by several collaborating groups. This thesis contains two main parts focusing on each of these two topics. In the first part the fundamental studies on novel metal-organic molecular complexes is presented. Several newly synthesized magnetic complexes were investigated by means of different experimental techniques, in particular, by electron spin resonance spectroscopy. Chapter 1 in this part provides the theoretical background which is necessary for the interpretation of the effects observed in single molecular magnetic clusters. Chapter 2 introduces the experimental techniques applied in the studies. Chapter 3 contains the experimental results and their discussion. Firstly, the magnetic properties of two Ni-based complexes are presented. The complexes possess different ligand structures and arrangements of the Ni-ions in the metal cores. This difffference dramatically affffects the magnetic properties of the molecules such as the ground state and the magnetic anisotropy. Secondly, a detailed study of the Mn2Ni3 single molecular magnet is described. The complex has a bistable magnetic ground state with a high spin value of S = 7 and shows slow relaxation and quantum tunnelling of the magnetization. The third section concentrates on a Mn(III)-based single chain magnet showing ferromagnetic ordering of the Mn-spins and a strong magnetic anisotropy which leads to a hysteretic behavior of the magnetization. The last section describes a detailed study of the static and dynamic magnetic properties of three Mn-dimer molecular complexes by means of static magnetization, continuous wave and pulse electron spin resonance measurements. The results indicate a systematic dependence of the magnetic properties on the nearest ligands surrounding of the Mn ions. The second part of the thesis addresses magnetic properties of nano-scaled magnets such as carbon nanotubes fifilled with magnetic materials and carbon-coated magnetic nanoparticles. These studies are eventually aiming at the possible application of these particles as agents for magnetic hyperthermia. In this respect, their behavior in static and alternating magnetic fifields is investigated and discussed. Moreover, two possible hyperthermia applications of the studied magnetic nanoparticles are presented, which are the combination of a hyperthermia agents with an anticancer drug and the possibility to spatially localize the hyperthermia effffect by applying specially designed static magnetic fifields.

La manipulation de la matière au niveau nanométrique a ouvert depuis une quinzaine d'années de nouveaux champs fondamentaux et applicatifs pour les scientifiques et les industriels. Dans ce nouveau paradigme, la nanoélectronique quantique se propose de fonder une nouvelle électronique basée sur les phénomènes quantiques de la matière et plus particulièrement sur la nature quantique des électrons. Ce projet de thèse s'articule autour d'un système électronique quantique hybride supraconducteur/nanotube de carbone (CNT) dénommé nano-SQUID. Ce dispositif présente une boucle supraconductrice contenant deux jonctions CNT en parallèle. Il couple de façon unique les propriétés d'un interféromètre supraconducteur SQUID avec celles de jonctions Josephson à boîte quantique moléculaire. A travers des expériences de transport réalisées, à des températures de quelques dizaines de milli-Kelvins, dans un cryostat à dilution inversé, nous avons étudié les interactions électroniques entre une boîte quantique nanotube et des électrodes supraconductrices. Nous nous sommes particulièrement focalisés sur l'influence de l'état de spin du nanotube sur le courant supraconducteur, qui peut, dans certaines conditions, conduire à la réalisation d'un jonction-. Par un contrôle électrostatique des paramètres microscopiques du dispositif nous avons ainsi pu définir un diagramme de phase expérimental des transitions 0- d'une jonction Josephson à boîte quantique. La dernière partie de cette thèse a porté sur l'utilisation du nano-SQUID comme magnétomètre. En effet, en couplant un aimant moléculaire au CNT composant le SQUID, il a été montré théoriquement qu'il est possible de détecter le retournement d'aimantation d'un spin unique. Nous avons ainsi couplé au nano-SQUID l'aimant moléculaire Double Decker Holmium et réalisé les premières mesures de détections magnétiques aux résultats prometteurs. / The manipulation of matter at the nano-scale has opened, since fifteen years, new fundamental and application avenues for science and industry. In this new paradigm, quantum nano-electronics propose to start a new electronics based on quantum effects of matter and more particularly on the quantum nature of electrons. This thesis project deals with an electronic hybrid superconductor/carbon nanotube (CNT) system called nano-SQUID. This device has a superconducting loop containing two CNT junctions in parallel. This unique system couples the properties of a superconducting interferometer (SQUID) with those of molecular quantum dot (QD) Josephson junctions (CNT junction). Through transport experiments performed in a reversed dilution cryostat at temperatures of several tens of milli-Kelvin, we studied the electronic interactions between a nanotube quantum dot and superconducting electrodes. We specifically focused on the influence of the magnetic state of the nanotube on the superconducting current flowing through. Depending on the QD spin state, the CNT Josephson junction can behave as a -junction. Finally a complete electrostatic control allowed us to define an experimental 0- phase diagram of a QD Josephson junction.

L’objectif consistant à élaborer des «aimants par conception» peut être atteint en adaptant les structures moléculaires des complexes de coordination. Les molécules conçues devraient présenter les caractéristiques requises pour des applications spécifiques, qui résultent de leur riche diversité structurale. Des complexes mononucléaires à base de Ni avec une grande anisotropie magnétique et des molécules polynucléaires à base de Ni et de Co sont préparés et étudiés dans cette thèse. Les synthèses, les études magnétiques et les propriétés électrochimiques des complexes contenant un ligand pontant non innocent sont étudiées. Les complexes mononucléaires Ni(II) à géométrie bipyramide trigonale sont préparés avec des ligands axiaux et les contre-anions différents. L'effet de la nature des ligands axiaux et du changement structural induit par les contre-anions sur l'anisotropie magnétique est étudié expérimentalement et analysé à l'aide de calculs théoriques. Des molécules organiques sont utilisées pour concevoir des complexes trinucléaires à grande anisotropie magnétique et à couplage d'échange faible. Plusieurs complexes polynucléaires à base de Ni et de Co où le TTC³⁻ agit comme un ligand pontant innocent et le HHTP³⁻ comme un ligand non innocent typique sont cristallisés avec diverses structures (TTC = Trithiocyanurate; HHTP = Hexahydroxytriphénylène). Pour les complexes contenant le ligand non innocent (HHTP), les anions radicalaires sont produits par électrochimie. La combinaison de la spectro-électrochimie et de la spectroscopie à résonance paramagnétique électronique couplée à des études d'électrochimie permet d'étudier la délocalisation des électrons sur les radicaux organiques générés et le couplage d'échange entre les ions métalliques. / The objective of elaborating “magnets by design” can be achieved by tailoring the molecular structures of coordination complexes. The designed molecules are expected to exhibit the characteristics required for specific applications, virtually resulting from their rich structural diversity. Mononuclear Ni-based complexes with large magnetic anisotropy and polynuclear Ni- and Co-based molecules are designed in this dissertation. The syntheses, magnetic studies, and electrochemical properties of the complexes containing non-innocent bridge ligand are investigated. The Ni(II) mononuclear complexes with trigonal bipyramid geometry are prepared by tuning the axial ligands and the counter anions. The effect of the nature of the axial ligands and the structural change induces by the counter anions on magnetic anisotropy is studied experimentally and analyzed with the help of theoretical calculations. Large organic molecules are used to design trinuclear complexes with large magnetic anisotropy and weak exchange coupling. Several polynuclear Ni- and Co-based complexes with TTC³⁻ acting as an innocent bridging ligand and HHTP as a typical non-innocent ligand, are crystallized with various structures (TTC = Trithiocyanurate; HHTP = Hexahydroxytriphenylene). For the complexes containing the non-innocent ligand (HHTP), radical anions are produced by electrochemistry. The combination of spectroelectrochemical and Electron Paramagnetic Spectroscopy coupled to electrochemistry studies allow investigating the delocalization of the electrons on the generated organic radicals and the exchange coupling among the metal ions.

The idea of miniaturizing devices down to the nanoscale where quantum ffeffects become relevant demands a detailed understanding of the interplay between classical and quantum properties. Therefore, characterization of newly produced nanoscale materials is a very important part of the research in this fifield. Studying structural and magnetic properties of nano- and molecular magnets and the interplay between these properties reveals new interesting effects and suggests ways to control and optimize the respective material. The main task of this thesis is investigating the magnetic properties of molecular magnetic clusters and magnetic nanoparticles recently synthesized by several collaborating groups. This thesis contains two main parts focusing on each of these two topics. In the first part the fundamental studies on novel metal-organic molecular complexes is presented. Several newly synthesized magnetic complexes were investigated by means of different experimental techniques, in particular, by electron spin resonance spectroscopy. Chapter 1 in this part provides the theoretical background which is necessary for the interpretation of the effects observed in single molecular magnetic clusters. Chapter 2 introduces the experimental techniques applied in the studies. Chapter 3 contains the experimental results and their discussion. Firstly, the magnetic properties of two Ni-based complexes are presented. The complexes possess different ligand structures and arrangements of the Ni-ions in the metal cores. This difffference dramatically affffects the magnetic properties of the molecules such as the ground state and the magnetic anisotropy. Secondly, a detailed study of the Mn2Ni3 single molecular magnet is described. The complex has a bistable magnetic ground state with a high spin value of S = 7 and shows slow relaxation and quantum tunnelling of the magnetization. The third section concentrates on a Mn(III)-based single chain magnet showing ferromagnetic ordering of the Mn-spins and a strong magnetic anisotropy which leads to a hysteretic behavior of the magnetization. The last section describes a detailed study of the static and dynamic magnetic properties of three Mn-dimer molecular complexes by means of static magnetization, continuous wave and pulse electron spin resonance measurements. The results indicate a systematic dependence of the magnetic properties on the nearest ligands surrounding of the Mn ions. The second part of the thesis addresses magnetic properties of nano-scaled magnets such as carbon nanotubes fifilled with magnetic materials and carbon-coated magnetic nanoparticles. These studies are eventually aiming at the possible application of these particles as agents for magnetic hyperthermia. In this respect, their behavior in static and alternating magnetic fifields is investigated and discussed. Moreover, two possible hyperthermia applications of the studied magnetic nanoparticles are presented, which are the combination of a hyperthermia agents with an anticancer drug and the possibility to spatially localize the hyperthermia effffect by applying specially designed static magnetic fifields.

Das Standart-Modell zur Beschreibung von Observablen magnetischer Moleküle ist das Heisenberg-Modell. In diesem wird der Magnetismus des Superaustausches der Elektronen durch einfache bilineare Spin-Spin-Kopplungen beschrieben. Zur genaueren Approximation experimenteller Ergebnisse können, der jeweiligen Struktur des Moleküls entsprechend, verschiedene Erweiterungen des Heisenberg-Modells verwendet werden. Diese werden, explizit für das 4-Spin-System {Ni4Mo12}, in ihren Auswirkungen auf die Hochtemperatur-Nullfeldsuszeptibilität, die Nullfeldsuszeptibilität und die Hochfeldmagnetisierung betrachtet. Die wesentlichen Erweiterungen sind dabei die Einzelionen-Anisotropie, die Dzyaloshinskii-Moriya-Anisotropie und die allgemeinen Kopplungen zweiter Ordnung. Letztere stellen eine Verallgemeinerung der bekannten biquadratischen Kopplungen dar und werden im Rahmen eines magneto-elastischen Modells hergeleitet. Dabei ergeben sich unterschiedliche Einschränkungen der Kopplungsmatrix zweiter Ordnung für starre und flexible Molekülstrukturen. Speziell für {Ni4Mo12} entsprechen die Ergebnisse numerischer Simulationen von Messwerten einer Strukturänderung im externen Magnetfeld.

Les molécules-aimants, ou Single-Molecule Magnets en anglais, sont des complexes polymétalliques qui possèdent la propriété remarquable de se comporter individuellement comme des aimants. Synthétisées selon les méthodes de la chimie de coordination elles sont devenues l’objet d’une intense activité de recherche multidisciplinaire à l’interface de la chimie et de la physique. C’est dans ce contexte que se situe notre travail de thèse qui nous a conduit à synthétiser plusieurs séries de complexes polynucléaires nouveaux puis a les caractériser cristallographiquement et étudier leurs propriétés magnétiques dont les résultats sont présentés dans ce mémoire. Le premier chapitre présente l’approche théorique, expérimentale et les avancées scientifiques principales dans le domaine des molécules-aimants. Le deuxième chapitre concerne quatre séries de composés obtenus avec des ligands de type oxime. Deux de ces composés [Mn3]n et [Mn6] sont des complexes homonucléaires à base de manganèse et les deux autres [Ln2Cu2] et [Ln3Cu8] (LnIII = Dy, Gd, Tb, Y) des complexes hétéronucléaires CuII - LnIII. D’après les études magnétiques nous avons constaté que [Mn3]n, [Dy2Cu2] et [Dy3Cu8] se comportent comme des molécules-aimants mais que [Mn6] ne manifeste pas les propriétés d’une molécule-aimant. Le troisième chapitre concerne un composé tetranucléaire [Mn4] et une série de complexes dodecanucléaires [Ln4Cu8] (LnIII = Dy, Gd, Tb, Y) obtenus avec des ligands de type benzoxazoles. Les études des propriétés magnétiques ont mis en évidence le couplage antiferromagnétique des ions Mn dans le cubane [Mn4]. Pour la série [Ln4Cu8] (LnIII = Dy, Gd, Tb, Y) sur la base du complexe d’yttrium le couplage Cu-Cu a été négligé et pour le complexe [Gd4Cu8] nous avons mis en évidence des interactions Cu-Gd ferromagnétiques et Gd-Gd antiferromagnétiques. Les mesures faites sur le composé [Dy4Cu8] ont mis en évidence le comportement caractéristique d’une molécule-aimant. Le dernier chapitre présente les résultats obtenues pour un complexe tetradécanucléaire à valence mixte MnII – MnIII [Mn14] que nous avons obtenu a partir d’un ligand de type base de Schiff et dans lequel coexistent des interactions antiferromagnétiques et ferromagnétiques entre les ions manganèse avec un zero-field splitting important. La conclusion générale fait le bilan de nos résultats et donne quelques perspectives ouvertes par notre travail. / The Single-Molecule Magnets (SMMs) are polymetallic complexes containing unpaired electrons that have the remarkable property to behave individually as magnets. Synthesized according to the methods of coordination chemistry they have become the subject of intense multidisciplinary research at the interface of chemistry and physics. In this context our thesis was focused on the synthesis of several series of new polynuclear complexes and their characterization by X-ray diffraction and magnetic measurements. The obtained results are discussed in this manuscript. The first chapter presents the theoretical approach and scientific advances in the field of molecular magnets. The second chapter describes the coordination compounds obtained using the oxime-based ligands: two homonuclear complexes, [Mn3]n and [Mn6], and two heteronuclear series, [Ln2Cu2] and [Ln3Cu8] (LnIII = Dy, Gd, Tb, Y). According to the magnetic studies [Mn3]n, [Dy2Cu2] and [Dy3Cu8] behave as SMM. The third chapter is related to a tetranuclear [Mn4] cluster and a series of dodecanuclear benzoxazoles-based complexes [Ln4Cu8] (LnIII = Dy, Gd, Y). The magnetic measurements made on [Dy4Cu8] showed the characteristic behavior of a SMM. The final chapter presents a valence-mixed MnII - MnIII [Mn14] complex with ferromagnetic and antiferromagnetic interactions between manganese ions obtained using a Schiff base ligand. To conclude the main obtained results will be discussed and some perspectives opened by our work will be proposed.

We have modeled some magnetic systems, which consists of a number of sublattices, in the mean field approximation. This is possible in crystalline systems formed by two or more magnetic ions coupled by specific interactions such as the crystal field, exchange, among others. The main idea is to solve the microscopic Hamiltonian that models a given magnetic system in order to obtain their magnetic equation of state: M (H, T). For this, we use the appropriate arrangements to different magnetic (ferro-, ferri- and antiferro- magnetic) scheme sublattices. From the solutions of the Hamiltonian (eigenvalues and eigenvectors), physical quantities of interest were determined. In principle we consider systems with localized magnetism due to 3d and 4f electrons with the participation of non-magnetic ligands including 3d-4f systems with the presence of crystal field. In this dissertation we use the model of two-and three sublattices in order to obtain the equation of state for the following systems: RKKY exchange in RNi2B2C, superexchange in (Y3-zRz)(T1xFe1-x)(T2yFe3-y)O12, LixFe3- xO4 and (NixMn1-x)1.5[Cr(CN)6]. In these formulas, R represents a rare earth ion, T1 and T2 represent non-magnetic ions. Some representative cases are presented to illustrate the different equations of state and behavior of sublattices, metamagnetism, temperature compensation, etc. The extension to other similar systems can be direct or need to incorporate additional phenomenological parameters. / Consideramos neste estudo sistemas magnéticos modeláveis mediante sub- redes na aproximação do campo médio. Isto é possível em sistemas cristalinos formados por dois ou mais íons magnéticos acoplados por interações específicas como as do campo cristalino, troca, entre outros. A ideia central é resolver o hamiltoniano microscópico que modela um determinado sistema magnético de maneira a se obter sua equação de estado magnética: M(H,T). Para isto usamos o esquema de sub- redes adequado a diferentes arranjos magnéticos (ferro-, ferri- e antiferro- magnéticos). Com as soluções do hamiltoniano (autovalores e autovetores), grandezas físicas de interesse foram determinadas. Em princípio, consideramos sistemas com magnetismo localizado devido a elétrons 3d e 4f com participação de ligandos não magnéticos incluindo sistemas 3d-4f com presença de campo cristalino. Neste trabalho de dissertação empregamos o modelo de duas e três sub- redes para obter as equações de estado nos seguintes sistemas: troca tipo RKKY em RNi2B2C, supertroca em (Y3-zRz)(T1xFe1-x)(T2yFe3-y)O12, LixFe3-xO4 e (NixMn1- x)1.5[Cr(CN)6]. Nestas fórmulas, R representa um íon de terra rara, T1 e T2 representam íons não magnéticos. Alguns casos representativos são apresentados para exemplificar as diferentes equações de estado e comportamento das sub- redes, metamagnetismo, temperatura de compensação etc. Em princípio, a extensão para outros sistemas semelhantes, usando os modelos apresentados aqui, pode ser direta ou precisar incorporar parâmetros fenomenológicos adicionais.