Les systèmes complexes se caractérisent par l’émergence de phénomènes macroscopiques qui ne s’expliquent pas uniquement par les propriétés de leurs composantes de base. La synchronisation est l’un de ces phénomènes par lequel les interactions entre des oscillateurs engendrent des mouvements collectifs coordonnés. Une représentation sous forme de graphe permet de modéliser précisément les interactions, alors que les oscillations se décrivent par des dynamiques non linéaires. Étant donné le lien subtil entre le graphe et la dynamique des oscillateurs, il est difficile de prédire l’émergence de la synchronisation. L’objectif de ce mémoire est de développer de nouvelles méthodes pour simplifier les systèmes complexes d’oscillateurs afin de révéler les mécanismes engendrant la synchronisation. À cette fin, nous introduisons des notions de la théorie des graphes et des systèmes dynamiques pour définir la synchronisation sur des bases mathématiques. Nous présentons ensuite des approches existantes sophistiquées pour réduire la dimension de dynamiques d’oscillateurs. Ces techniques sont toutefois limitées lorsque les dynamiques évoluent sur des graphes plus complexes. Nous développons alors une technique originale—spécialement adaptée pour les graphes aux propriétés plus hétérogènes—pour réduire la dimension de dynamiques non linéaires. En plus de généraliser des approches récentes, notre méthode dévoile plusieurs défis théoriques reliés à la simplification d’un système complexe. Entre autres, la réduction de la dimension du système se bute à une trichotomie : il faut favoriser la conservation des paramètres dynamiques, des propriétés locales du graphe ou des propriétés globales du graphe. Finalement, notre méthode permet de caractériser mathématiquement et numériquement l’émergence d’états exotiques de synchronisation. / Complex systems are characterized by the emergence of macroscopic phenomena that cannot be explained by the properties of their basic constituents. Synchronization is one of these phenomena in which the interactions between oscillators generate coordinate collective behaviors. Graphs allow a precise representation of the interactions, while nonlinear dynamics describe the oscillations. Because of the subtle relationship between graphs and dynamics of oscillators, it is challenging to predict the emergence of synchronization. The goal of this master’s thesis is to develop new methods for simplifying complex systems of oscillators in order to reveal the mechanism causing synchronization. To this end, we introduce notions of graph theory and dynamical systems to define synchronization on sound mathematical basis. We then present existing sophisticated approaches for reducing the dimension of oscillator dynamics. Yet, the efficiency of these techniques is limited for dynamics on complex graphs. We thus develop an original method—specially adapted for graphs with heterogeneous properties—for reducing the dimensions of nonlinear dynamics. Our method generalizes previous approaches and uncovers multiple challenges related to the simplification of complex systems. In particular, the dimension reduction of a system comes up against a trichotomy: one must choose to conserve either the dynamical parameters, the local properties of the graph, or the global properties of the graph. We finally use our method to characterize mathematically and numerically the emergence of exotic synchronization states.

Investigations in the 99mTc chemistry are stimulated by the search for new radiopharmaceuticals for nuclear medical applications. To understand the coordination mode of Tc with various complexing agents, macroscopic studies of technetium coordination chemistry are often performed using the low energy ß-emitting radionuclide 99Tc, which has a much longer half life (t1/2 = 2.12 x 105 years) than 99mTc, in the mg level. Investigations of Re coordination chemistry are done in conjunction with Tc studies because Re possesses chemical properties similar to those of Tc. For some chemical tasks, Re provides a non-radioactive alternative to work with Tc radioisotopes. In addition, 186Re and 188Re are of great interest to nuclear medicine as they possess nuclear properties favorable for use in therapeutic radiopharmaceuticals. Our investigations of Tc and Re coordination chemistry are toward this goal. A large series of technetium and rhenium complexes resulted from this studies have been characterized by X-ray crystal structure determinations. This survey covers the structural investigations performed by P.Leibnitz and G.Reck (BAM) from 1992 till now. It summarizes results obtained in the Rossendorf technetium group and is not intended to compete with the well-written reviews published so far.

Photodynamic therapy (PDT) is a non-invasive treatment of cancer with an advantage of having localized photo-activation of the drug at the targeted tumor cells leaving the healthy cells unaffected by the photo-toxicity of the PDT agent. Organic molecules and 4d/5d metal complexes have been extensively studied for their DNA cleavage activity and photo-cytotoxicity in UV and/or visible light. The photoactivity of the current PDT drugs is due to reactive singlet oxygen species. To address the hypoxic nature within neoplasia and to get a realistic scenario to build model and potent PDT agents, attempts have been made in this thesis work to design and synthesize new cobalt and copper complexes having a variety of ancillary ligands and planar phenanthroline bases showing efficient visible light-induced anaerobic plasmid DNA cleavage activity. The disulfide and thiol compounds are known to generate thyil radical in anaerobic medium in presence of some electron donating solvent. To exploit this chemistry of the sulfur anion radical as a reactive species damaging DNA under light irradiation, we have prepared copper(II) complexes of bis(2-hydroxybenzylamino-ethyl)disulfide and D-penicillaminedisulfide and characterized. The complexes are moderate binders to calf thymus DNA and exhibit plasmid DNA cleavage activity in red light. Near-IR light-induced double-strand DNA cleavage activity is observed for the complexes having 3,3' -dithiodipropionic acid and phenanthroline bases. These complexes show lethal double strand breaks in SC DNA responsible for the inhibition in DNA repair mechanism in the cells thus becoming potent candidates as transcription inhibitors. The work has been extended to achieve better visible light-induced plasmid DNA cleavage activity and UV light-induced photocytotoxicity using a more bio-compatible metal ion, viz. cobalt(II) with the same ligand system and enhancement in the photocytotoxicity is observed. To investigate the role of the disulfide ancillary ligands, complexes of salicylideneaminothiophenol bound to the copper(II) are prepared and the complexes show significant plasmid DNA cleavage activity in red light. Finally, ternary cobalt(III) phenanthroline base complexes are prepared to study their DNA cleavage activity in red light and photo-cytotoxicity in UV light. The complexes show efficient plasmid DNA cleavage activity in red light, significant cytotoxicity in UV light, low dark cytotoxicity, and protein (BSA, lysozyme) cleavage activity in UV light. The mechanistic aspects of the photo-induced DNA and protein cleavage activity of the complexes have been studied. A dual involvement of the charge transfer and d-d band is observed in the photosensitization process leading to generation of reactive oxygen species. In summary, the thesis work presents cobalt and copper complexes having thiolate and disulfide moieties that are designed and synthesized as new photodynamic therapeutic agents showing anaerobic DNA cleavage activity in red light and photocytotoxicity. The present study opens up new strategies for designing and developing cobalt and copper based photosensitizers for their potential photochemotherapeutic applications under hypoxic reaction conditions. References: Lahiri, D. et al., J Chern. Sci, 2010, 122, 321-333; Inorg. Chern., 2009, 48, 339-349; Dalton Trans. 2010,39,1807-1816; Polyhedron, 2010, 29, 2417-2425.

This thesis work is based on an investigation of intermediates involved in various metal mediated catalytic reactions such as hydrogenation, hydroboration, functionalization of methane etc. An intermediate dictates the energetics of the catalytic cycle of these reactions. Therefore, it is important to study such types of intermediates in order to design a better catalyst. These intermediates are called σ-complexes in which a σ-bond is coordinated to the metal center at some stage of the reaction coordinate. These species are rarely stable at ambient conditions which create difficulties in exploring their chemistry. Our aim is to study the effect of ancillary ligands on the coordination properties of a σ-bond ligand. We chose two different classes of σ-complexes – one contains a B–H σ-bond as a ligand, i.e., σ-borane complex and another contains a H–H σ-bond as a ligand, i.e., σ-dihydrogen complex. Both M–H–B and M–H2 interactions are 3-center-2-electron coordination bonds comprised of two bonding components. One is σ-donation, which is present in both and another is π-back donation from the metal center, which is negligible in the σ-borane complexes contrary to the σ-dihydrogen complexes. The bonding characteristics of M–H–B and M–H2 interactions suggest that an electron deficient metal center is necessary to study the σ-borane complexes with reasonable stability. Thus, we selected an early transition metal, i.e., Cr(0) bearing arene and CO ancillary ligands, for studying the σ-borane complexes. On the other hand, the cis-dihydrogen/hydride and cis-dihydrogen chloride complexes were studied on a late transition metal center, i.e., Ru(II) bearing phosphine and N–N bidentate ligands. Ammonia-borane is known to be a potential hydrogen storage material. Therefore, we picked up the catalytic dehydrogenation reaction of this compound and intended to investigate the interaction between a metal center and the BH σ-bonds of amine-boranes. We characterized the σ-borane complexes [(η6-arene)Cr(CO)2(η1-H–BH2•NMe3)] (arene = fluorobenzene, benzene, and mesitylene), and observed an interesting correlation between the electronics and stability of these species. This was the first report of σ-borane systems possessing an η6-arene ligand. A prototype homobimetallic σ-borane complex, [(η6-C6H5CH2NMe2•BH2–HCr(CO)5)Cr(CO)3] was characterized using single crystal X-ray crystallography. An intramolecular σ-borane complex, (η1-(η6-C6H5CH2NMe2•BH2–H))Cr(CO)2 was found to possess an interesting chelation of the η6-arene, and BH coordination sites of its amine-borane moiety with the Cr(0) center. These σ-borane complexes showed an interesting dynamics in the binding interface between the metal center and the borane ligand. Free energy of activation (ΔG#) for this process was estimated to be 30-40 kJ/mol. To explore certain σ-dihydrogen complexes we investigated the chemistry of cis-dihydrogen/hydride complexes of Ru(II) bearing phosphine and N-N bidentate ligands cis,trans-[RuH(η2-H2)(PPh3)2(N-N)][OTf] (N-N = 2, 2′-bipyridyl, 2, 2′-bipyrimidine) in detail. In those cases, we established that the adjacent hydride ligand has large influence on the dihydrogen coordination. The η2-H2 and hydride ligands showed a single 1H NMR spectral signal due to fast site exchange among each other. We established the mechanism and calculated the free energy of activation (ΔG# = 8-13 kJ/mol) of this dynamics. These complexes were found to be stable at ambient conditions although, a labile dihydrogen ligand is present in the coordination sphere of the metal center. In fact, we could obtain the single crystals of cis,trans-[RuH(η2-H2)(PPh3)2(bpy)][OTf]. The molecular structure of a σ-complex in which a σ-bond (before it gets completely formed or broken) acts as a ligand is what fascinates this area in chemistry. A cis-dihydrogen chloride complex, cis,trans-[RuCl(η2-H2)(PPh3)2(bpm)][OTf] was characterized unambiguously using NMR spectroscopy. The H-H distance (dHH) for the η2-H2 ligand of these complexes were estimated to be 0.9-1.0 Å. We attempted to observe some σ-methane species spectroscopically at low temperatures. Unfortunately, these species were quite unstable for exhibiting the NMR spectral signals even at low temperatures. Nevertheless, we investigated the reactivity of cis,trans-[RuHX(PPh3)2(N-N)] (X = H, Cl; N-N = 2, 2′-bipyridyl, 2, 2′-bipyrimidine) towards a methylating agent, CH3OTf. This reaction resulted in methane evolution by the combination of the hydride ligand of a Ru(II) complex and the CH3+ moiety of CH3OTf. This reaction was carried out in a sealed tube inside a NMR probe at ~183 K and monitored for a long period of time; however, the methane bound metal species was not observed. Perhaps, the longevity of this class of σ-methane complex falls below the NMR time scale.

Investigations in the 99mTc chemistry are stimulated by the search for new radiopharmaceuticals for nuclear medical applications. To understand the coordination mode of Tc with various complexing agents, macroscopic studies of technetium coordination chemistry are often performed using the low energy ß-emitting radionuclide 99Tc, which has a much longer half life (t1/2 = 2.12 x 105 years) than 99mTc, in the mg level. Investigations of Re coordination chemistry are done in conjunction with Tc studies because Re possesses chemical properties similar to those of Tc. For some chemical tasks, Re provides a non-radioactive alternative to work with Tc radioisotopes. In addition, 186Re and 188Re are of great interest to nuclear medicine as they possess nuclear properties favorable for use in therapeutic radiopharmaceuticals. Our investigations of Tc and Re coordination chemistry are toward this goal. A large series of technetium and rhenium complexes resulted from this studies have been characterized by X-ray crystal structure determinations. This survey covers the structural investigations performed by P.Leibnitz and G.Reck (BAM) from 1992 till now. It summarizes results obtained in the Rossendorf technetium group and is not intended to compete with the well-written reviews published so far.

published_or_final_version / abstract / Chemistry / Doctoral / Doctor of Philosophy

published_or_final_version / Chemistry / Doctoral / Doctor of Philosophy

Chapter 1 provides the general review of phosphoranoimines and 1-azaallyls as ligands for group 4 and 14 metal complexes. / Chapter 2 describes the development of low-valent group 14 1,3-dimetallacyclobutanes from phosphoranoimines. Three low-valent 1,3-distannacyclobutanes 1,3-[Sn{C(Pr i2P=NSiMe3)(2-Py)}]2 ( 95), 1,3-[Sn{C(Ph2P=NSiMe3)(C6H 5)}]2 (97) and 1,3-[Sn{C(Ph2P=NSiMe 3)(PPh2)}]2 (100) were synthesized from the phosphoranoimine ligands [CH2(Pri 2P=NSiMe3)(2-Py)] (92), [CH2(Ph 2P=NSiMe3)(C6H5)] (96) and [CH2(Ph2P=NSiMe3)(PPh 2)] (99), respectively. A novel cationic tin(IV) species [HC(Pri2P=NSiMe3)(Ar)] -[SnCl3]+ (Ar = 9-anthryl) ( 104) was synthesized from [CH2(Pri 2P=NSiMe3)(Ar)] (Ar = 9-anthryl) (103). / Chapter 3 describes the reactivies of low-valent group 14 1,3-distannacyclobutanes (95 and 111) and the isolation of the enantiomers of 95 and [1-Sn{C(Pri2P=NSiMe 3)(2-Py)}3-Pb{C(Pri2P=NSiMe 3)(2-Py)}] (120). The reactions of 95 or 111 with M(CO)5(THF) (M = Cr, Mo, W), CpMn(CO)2THF (Cp = eta-C5H5), MeI and Br2 were performed. Three isomers of compound 95 (95R, 95S and 95I) and two enantiomers of compounds 120 ( 120R and 120S) and 122 (122R and 122S) were obtained by the method of recrystallization from different solvents. Heteroleptic lead(II) compound [{(Pri 2P=NSiMe3)(2-Py)CH}Pb{N(SiMe3)2} 2] (121) was synthesized, which further react with 94 to give 1,3-[Pb{C(Pri2P=NSiMe 3)(2-Py)}]2 (122). / Chapter 4 describes the development of group 4 metal complexes from phosphoranoimines. Group 4 metal imido complexes [(Me2N)2M{CH(Ph2 PN)(2-Py)}]2 (M = Zr (133), Hf (134)) and ionic compounds [ML2Cl]+2[MCl 6]2- (L = {CH(R2PNSiMe3)(2-Py)}) (135 M = Zr, R = Ph, 136 M = Hf, R = Ph, 137 M = Zr, R = Pri, 138 M = Hf, R = Pri) were synthesized. The neutral zirconium(IV) dichloride compound [ZrCl2{CH(Ph2P=NSiMe 3)(C6H5)}2] (139) was prepared by the reaction of lithium compound [(THF)2Li{CH(Ph 2PNSiMe3)(C6H5)}] (97) with ZrCl4. The catalytic activity of the compounds toward ethylene polymerization has been investigated. / Chapter 5 describes the development of group 4 metal complexes from 1-azaallyls. Lithium cyclohexenyl-1-azaallyl compound [(TMEDA)LiN(SiMe3)C(Ph)= CHCHC&parl0;SiMe3&parr0;CH2CH 2C H2] (149) and zirconium(IV) dichloride compound [Zr{N(SiMe3)C(Ph)(L)}2Cl2] (L = CHCHC&parl0;SiMe3&parr0;CH2CH 2C H2) (150) were synthesized. Novel anionic one-dimensional bifunctional lithium compound [{(THF)Li(N(SiMe3))2C}(CN)C 6H4-1,4)]n (151) has also been synthesized. Similar reactions of 1,2-dicyanobenzene, 1,3-dicyanobenzene or 1,4-dicyanobenzene with lithium amide [(Et2O)2LiN(SiMe3) 2] afforded lithium bis(1,3-diazaallyl) compounds [{(THF)2Li(N(SiMe 3))2C}C6H4-1,2)] (152), [{(THF)2Li(N(SiMe3))2C}C6H 4-1,3)] (153) and [{(THF)2Li(N(SiMe3)) 2C}C6H4-1,4)] (154), respectively. / The work presented in this thesis is mainly focused in two parts: (i) the synthesis and reactivities of low-valent main group 14 metal complexes derived from phosphoranoimines, (ii) the synthesis and catalytic studies of transition group 4 metal complexes derived from phosphoranoimines and 1-azaallyl ligands. / Wong Kam Wing. / "December 2006." / Adviser: Kevin Wing-Por Leung. / Source: Dissertation Abstracts International, Volume: 68-08, Section: B, page: 5233. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references. / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.

Ce travail de thèse présente la synthèse, la caractérisation et la réactivité de métallylènes stabilisés par différents ligands pinces fonctionnalisés par des substituants soufrés à différents états d'oxydation. Les métallylènes, analogues lourds des carbènes, présentent dans leur état fondamental singulet une paire d'électrons et une orbitale p vacante. Ces caractéristiques donnent à ces espèces un comportement et une réactivité particulière. La littérature décrit de nombreux exemples de métallylène stabilisés par différents types de ligands, parmi lesquels les ligands de type pince gagnent actuellement en importance. Dans la chimie des complexes de métaux de transition, il a déjà été démontré que les ligands de type pince constituent un type de plateforme efficace grâce aux possibilités de modulation des propriétés des complexes liées à la modulation du squelette du ligand. Au cours des dernières décennies, ces ligands se sont révélés efficaces pour la stabilisation de métallylènes stables. Cependant, un seul exemple de métallylène stabilisé par un ligand de type pince contenant du soufre a été reporté dans la littérature. Au cours de cette étude, des ligands pinces O,C,O chélatants contenant des groupement sulfonyles et sulfinyles ont été conçus, synthétisés et complètement caractérise par les méthodes physico-chimiques et computationnelle et leurs effets sur la stabilisation des métallylènes ont été étudiés. Dans un premier temps, un ligand pince de type bis-sulfone a été obtenu et étudié pour la synthèse de nouveaux métallylènes. A partir de ce ligand, un germylène et un stannylène ont été caractérisés, le germylène étant le premier exemple dans la littérature d'une espèce de germanium divalente stabilisée par un ligand pince de donneur d'oxygène. La réactivité des métallylènes a été testée pour obtenir des produits de cycloaddition avec l'ortho-benzoquinone et des complexes des métaux de transition (fer et tungstène). Il a été démontré que la bis-sulfone se comporte comme un ligand ajustable de type pince O,C,O-chélatant, la coordination pouvant être possible par l'un ou l'autre des atomes d'oxygène des groupements sulfonyles. [...] / This work presents the synthesis, characterization and reactivity of metallylenes stabilized by different functionalized pincer ligands with substituents containing sulfur atoms in different oxidation states. Metallylenes, the heavier analogues of carbenes, have in their singlet ground state a lone pair of electron and a vacant p orbital. These features give the particular behavior and reactivity of these species. The literature describes many examples of metallylenes stabilized by different types of ligands, among which lately the pincer type ligands are gaining importance. In the chemistry of transitional metal complexes it was shown for a long time that the pincer-type ligands are a versatile ligand platform thanks to the possibilities of modulating the properties of the complexes through small changes of the ligand backbone. In the last few decades these ligands proved to be effective for obtaining stable metallylenes. However, in the literature there is one sole example of metallylene stabilized through sulfur containing pincer-type ligands. For this study, para substituted sulfonyl and sulfinyl containing O,C,O-chelating pincer ligands were designed, synthesized and completely characterized by the physico-chemical and computational methods and their effects on the stabilization of metallylenes was investigated. First, a bis-sulfone pincer ligand was obtained and studied for the synthesis of novel metallylenes. With this ligand a germylene and stannylene were obtained and characterized, the germylene being the first example in the literature of a divalent germanium species stabilized by an oxygen donor pincer ligand. The reactivity of the metallylenes was tested for obtaining cycloadducts with ortho-benzoquinone and transition metal complexes (iron and tungsten). It was shown that the bis-sulfone behaves as an adjustable O,C,O-chelating pincer type ligand, the coordination could be possible with either one of the oxygen atoms of the sulfonyl groups. [...]

High symmetry and low coordinated single-ion lanthanides have been a successful recipe to design high performance single molecule magnets (SMMs). However, enhancement of the magnetic properties of polymetallic SMMs is an important challenge. Therefore, this thesis describes the use of redox non-innocent tetrazine-based ligands and d- and f- elements in order to fine-tune the electronic structure of the resulting compounds to promote strong exchange interactions between the spin carriers. As reported in the literature, radical-bridged ligands represent a potential strategy to improve the magnetic properties of polymetallic SMMs. Thus, chapter one introduces principal concepts that govern the physical properties of metal complexes containing radical-bridged ligands. Chapter two describes the magnetic properties of a unique air-stable tetratopic radical- bridged bpymtz•− (3,6-bis(2-pyrimidyl)-1,2,4,5-tetrazine) templating four Ni(II) metal ions. The dc magnetic studies along with DFT calculations reveal strong ferromagnetic exchange coupling between the Ni− bpymtz•− of J = 98 cm-1 with a spin ground state of S = 9/2. Chapter three describes the application of another tetrazine-based ligand, bpytz (3,6- bis(3,5-dimethylpyrazolyl)-1,2,4,5-tetrazine) to probe magnetic exchange interactions in a {CoII4} supramolecular square. The modelling of dc susceptibility data shows significant Co(II) - bpytz•− magnetic coupling of J = - 118 cm-1 for a spin ground state ST = 4. While the non-reduced analog displays weak Co(II)-Co(II) exchange of J = - 0.64 cm-1 (S = 0 ground state). Additionally, the radical-radical magnetic exchange contribution was probed with an analogous {ZnII4} square, where a J = -15.9 cm-1 was found. Chapter four extends the application of reduced tetrazine ligands to lanthanide systems. Here we demonstrate that the systematic reduction of the ligand with cobaltacene (CoCp2) led to the formation of a strongly coupled bpytz•−−bpytz•− bridging ligand. Magnetic measurements combined with ab initio calculations confirm unprecedented intramolecular pi-dimerization preventing strong magnetic Dy(III)−bpytz•− communication. Chapter five describes the synthesis and characterization of {LnIII4} (Ln = Dy, Gd and Lu) where the Ln(III) ions are bridged by peripheral bpytz•−. The oxophilicity and high coordination numbers preferred by lanthanides ions lead to the formation of a cubane core made up of metal ions bridged by hydroxy ligands (M3-OH−). Experimental and computational studies were applied to verify the nature and strength of the magnetic interactions between the spin carriers.