A range of computational and experimental techniques have been applied to the study of four metal cluster systems. Decorated rhodium clusters Rh n O m (N 2 O) + ( n = 4 − 8, m = 0 − 2) have been investigated both experimentally by IR-MPD and computationally using DFT. The effect of cluster size as well as oxygen coverage on the spectroscopy of the N 2 O bend are analyzed. The infrared-induced decomposition of N 2 O on Rh n O + m is observed on all cluster sizes, with marked differences as a function of size and oxygen coverage, particularly in the case of Rh 5 (N 2 O) + . The oxidation of CO was studied on the surface of small platinum cluster cations Pt n O + m ( n = 3 − 7, m = 2 , 4) by IR-MPD at 400 – 2100cm −1 . Spectroscopically, oxygen is found to be bound both dissociatively and molecularly on the cluster surface, while the CO band is found to red shift in cluster size, and blue shift with oxygen coverage. Oxidation of CO proceeds on all cluster sizes, with a constant branching ratio of 40% : 60% . DFT calculations identified key stationary points and barriers on the Pt 4 O 2 CO + reaction pathway. The one-colour Ta 2 photodissociation is studied by photoionization and VMI in the range 23500 – 24000cm −1 , finding clear evidence of a fragmentation process producing Ta , which is interpreted as fragmentation of cationic Ta + 2 at the two photon level. A majority of the observed channels produce either atomic ( Ta( 4 F 3/2 ) ) or cationic ( Ta + ( 5 F 1 ) ) ground state. An improved value for the dissociation energy D 0 ( Ta + 2 ) is obtained, in agreement with computational predictions. The anisotropies observed show weak evidence of a perpendicular transition being involved in the photodissociation process. Finally, the photodissociation dynamics of Cu 2 are studied by spectroscopy in the range 36000 – 38200cm −1 as well as VMI. Clear evidence for resonant photolysis of Cu 2 is obtained, as a result of both direct dissociation of the Cu + 2 2 Π ion state as well as dissociation of doubly excited Cu 2 states, which leads to a determination of dimer dissociation energies. Finally, the production of Cu + 2 is interpreted as evidence of photolysis of Cu 3 , from which a Cu 3 dissociation energy is derived.

The properties of transition metal clusters differ from those of both atomic and bulk size regimes. Such clusters are incompletely understood and potentially useful, making them attractive targets for further study. The very smallest clusters studied in this thesis (CuO, Cu₂ and Cu₃) have been investigated with velocity map imaging. 1+1' photodissociation of CuO X ²Π_3/2 was observed, via the C, D, E, F and H states of CuO. CuO* was photodissociated to form Cu(²D_3/2) + O(¹D₂). D₀(CuO) was determined to be 3.041±0.030 cm^-1. Non-resonant three-photon Cu₂ photodissociation occurred throughout the energy range studied to produce one ground-state and one highly-excited copper atom,Cu*. Cu* was ionised by a single additional visible photon. Nearly all Cu* atoms with internal energies between 41000 and 53000 cm^-1 were observed. D₀(Cu₂) has been calculated to be 1.992±0.037 eV. Features arising from photodissociation of Cu₃ were observed in the Cu^+ and Cu₂^+ ion yield spectra and images. Their structure was ill-resolved due to uncertainties in the internal energy of both parent Cu₃ and product Cu₂. These features correspond to single-photon dissociation of Cu₃ to produce metastable D-states of the copper atom and vibrationally excited Cu₂. One series of features implies a previously-unobserved state of either Cu₂ or Cu₃. Rh_nN₂O^+ and Rh_nON₂O^+ (n=5, 6) were collisionally activated in collision-induced dissociation (CID) experiments with Ar and ¹³CO. These experiments were carried out in a Fourier Transform Ion Cyclotron Resonance(FT-ICR)spectrometer. Argon collisions induced both N₂O desorption and N₂O reduction. The branching ratios observed reproduced those seen in prior IR-MPD experiments. ¹³CO was observed to chemisorb to the cluster upon collision, activating not only N₂O desorption and reduction but also CO oxidation. Formation of CO2 was noted to be particularly rapid on the n=5 cluster compared to the n=6 cluster. Reactions of Rh_nN₂O^+ (n=4-6) clusters were also activated by black body radiation. This technique is known as BIRD - black-body induced infrared radiative dissociation. These studies revealed that the N₂O desorption barrier exceeds the N₂O reduction barrier on all clusters studied, but that the entropic favourability of desorption increases its rate relative to reduction with increasing cluster internal energy. The BIRD rate was much reduced upon cooling the ICR cell to 100 K. A further test of the BIRD mechanism increased the number of N₂O ligands and hence the absorption rate. An approximately linear increase in the dissociation rate of Rh_n(N₂O)_m^+ was observed with index m. Deviations from linearity were caused by variations in the N₂O desorption rate. In the case of Rh₅(N₂O)_m^+, desorption rates corresponded closely to N₂O binding energies calculated by density functional theory. The system was modelled using a master equation approach.

Ce manuscrit de thèse est dédié aux calculs quantiques de paramètres de spectroscopie de résonance magnétique nucléaire (RMN) de métaux de transition dans des composés inorganiques de l’état solide. Le manuscrit est divisé en cinq parties. La première partie présente les atouts de la spectroscopie RMN en tant que technique d’investigation de composés inorganiques de l’état solide. Dès lors que le noyau sondé est un métal de transition, l’expérience doit être complétée par des calculs quantiques afin d’interpréter au mieux les données expérimentales. La seconde partie du manuscrit est dédiée à la description de la RMN et des outils méthodologiques utilisés dans ce travail. Le troisième chapitre est dédié au calcul du déplacement chimique de l’isotope 95 du molybdène dans des clusters halogénés de formule [Mo6X14]2- (X = Cl, Br, I). Une attention particulière est donnée à l’influence des effets de solvatation sur le calcul. Le quatrième chapitre est dédié à l’étude des composés A6Re3Mo3S8(CN)5 (A = K, Cs) dont la structure cristallographique est basée sur un motif octaédrique hétéronucléaire Re3Mo3S8(CN)6. La résolution structurale par diffraction des rayons X sur monocristal n’ayant pas permis de résoudre le problème de la distribution des métaux de transition dans l’octaèdre, une étude spectroscopique in silico sur la base de calculs DFT moléculaires et périodiques a été entreprise. Dans le dernier chapitre, des composés hétéronucléaires de formule [Ln6-6xLn6xO(OH)8(NO3)6(H2O)12]2+ (Ln = Pr-Lu, Y) ont été étudiés du point de vue théorique afin de mieux comprendre les données spectroscopiques collectées. / This work is devoted to the calculations of nuclear magnetic resonance (NMR) parameters of transition metal nuclei in inorganic solid-state materials using first-principles calculations. The manuscript is divided in five chapters. The first one shows that NMR is an interesting spectroscopic method to gain some information on the properties of inorganic materials. As far as the probed nucleus is a transition metal, experiments must be completed with quantum chemical calculations in order to better interpret the spectroscopic data. The second chapter is devoted to the quantum chemical tools that are necessary to the understanding of this work are presented. The third chapter deals with the computations of 95Mo NMR parameters of [Mo6X14]2- (X = Cl, Br, I) octahedral clusters. A special attention is paid to the influence of solvation effects on the computed NMR parameters. The fourth chapter is devoted to the study of A6Re3Mo3S8(CN)5 (A = K, Cs) compounds. Their crystal structures are based on a heteronuclear octahedral motif Re3Mo3S8(CN)6. Since X-ray diffraction refinements did not solve the colouring problem in the octahedron, an in silico spectroscopic study has been carried out using molecular and periodic DFT calculations. The last chapter of this report deals with heteronuclear polyoxolanthanides that have been studied using first-principles calculations in order to better understand their 89Y NMR spectra.