Quantum chemistry has nowadays become a powerful and efficient tool that can be successfully used for studies of biosystems. It is therefore possibleto model the enzyme active-site and the reactions undergoing into it, as well as obtaining quite accurate energetic profiles. Important conclusions can be drawn from such profiles about the  plausibility of different putative mechanisms. Density Functional Theory is used in the present thesis for investigation of the catalytic mechanism of dioxygenase metallo-enzymes and synthetic model complexes. Three enzymes were studied – Homoprotocatechuate 2,3-dioxygenase isolated from Brevibacterium fuscum (Bf 2,3-HPCD), Manganese-Dependent Homoprotocatechuate 2,3-Dioxygenase (MndD) and Homogentisate Dioxygenase (HGD). Models consisting of 55 to 208 atoms have been built from X-ray crystal structures and used in the calculations. The computed energies were put in energy curves and were used for estimation of the feasibility of the suggested reaction mechanisms. A non-heme [(L4Me4)Fe(III)]+3 complex that mimics the reactivity of intradiol dioxygenases, and a heme [T(o-Cl)PPFe] complex catalyzing the stepwise oxidation of cyclohexane to adipic acid, were also studied. For the enzymes and the non-heme biomimetic complex the reaction was found to follow a mechanism that was previously suggested for extradiol and intradiol dioxygenases – ordered substrates binding and formation of peroxo species, which further undergoes homolytic O-O bond cleavage. Different reaction steps appear to be rate limiting in the particular cases: proton transfer from the substrate to the peroxide in Bf 2,3-HPCD, the formation of the peroxo bridge in HGD and the biomimetic complex, and notably, spin transition in MndD. The catalytic oxidation of cyclohexane to adipic acid in the presence of molecular oxygen as oxidant was studied, a reaction of great importance for the chemical industry. Reaction mechanism is suggested, involving several consecutive oxidative steps. The highest calculated enthalpy of activation is 17.8 kcal/mol for the second oxidative step. / At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 4: In progress, Paper 5: In progress

La synthèse de molécules possédant une cavité présente un grand intérêt car ces dernières peuvent agir comme récepteurs moléculaires ou comme catalyseurs supramoléculaires et ainsi mimer l'activité des enzymes. Les hémicryptophanes possèdent ainsi des cavités dissymétriques complexes formées à partir d'une unité cyclotrivératrylène et d'une seconde unité de symétrie C3 et présentent des propriétés catalytiques et de reconnaissance particulièrement intéressantes.Les travaux effectués au cours de cette thèse reposent donc sur la synthèse de nouveaux hémicryptophanes et sur leur utilisation pour la reconnaissance moléculaire de composés biologiquement actifs et pour la catalyse supramoléculaire. A ce titre, différentes voies de synthèse ont été abordées et ont permis d'obtenir un panel de nouveaux récepteurs. Ces composés ont alors été appliqués dans un premier temps à la reconnaissance sélective de paires d'ions et de neurotransmetteurs zwitterioniques puis à la reconnaissance stéréosélective de sucres. Les propriétés complexantes de ces composés ont principalement été étudiées par spectroscopie RMN et à l'aide de calculs quantiques. Enfin, la synthèse de complexes supramoléculaires cuivre-hémicryptophane nous a permis de développer l'utilisation de ces composés pour la catalyse biomimétique d'oxydation des alcanes. / Molecular containers are very attractive as they can act as molecular receptors or supramolecular catalysts and so mimic biological entities such as enzymes. Hemicryptophanes are heteroditopic host molecules created from the association of a cyclotriveratrylene unit with another C3-symmetric moiety and which present interesting catalytic and recognition properties. During this thesis, we based our work on the synthesis of new hemicryptophanes and their application, first in molecular recognition of bioactive molecules and then in supramolecular catalysis. Different synthetic paths have been developed to obtain several new receptors. Their binding abilities have then been studied in selective recognition of ion pairs and neurotransmitters and in stereoselective recognition of carbohydrates. These works have been performed mainly thanks to NMR spectroscopy and quantum calculations. Finally, copper-hemicryptophane complexes have been synthesized and used as supramolecular catalysts in C-H oxidation of alkanes.