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Le but principal de cette thèse était de calculer les spectres de dichroïsme circulaire magnétique de rayons~X au seuil K afin de fournir un outil pour interpréter les spectres expérimentaux, jusqu'ici très déroutants. La détermination du dichroïsme circulaire nécessite le calcul précis des spectres d'absorption des rayons~X polarisés circulairement. Nous avons constaté que la théorie des perturbations semi-classique dépendante du temps, communément utilisée pour calculer les sections efficaces d'absorption et de diffusion, est incompatible à la fois, avec l'invariance de jauge et avec les descriptions semi-relativistes de la dynamique des électrons. Pour résoudre ces problèmes, on applique une transformation de Foldy-Wouthuysen aux sections efficaces relativistes données par l'électrodynamique quantique. Ainsi, un nouveau terme d'interaction lumière-matière émerge, que nous avons appelé "spin-position". Une approche performante a été développée pour calculer la section efficace d'absorption afin d'obtenir le dichroïsme circulaire magnétique de rayons~X (XMCD) et le dichroïsme circulaire naturel de rayons~X (XNCD). La méthode numérique repose sur la théorie de la fonctionnelle de la densité en ondes planes avec des pseudopotentiels. Nous constatons que le terme couplant l'opérateur dipolaire électrique avec l'opérateur spin-position contribue significativement au XMCD au seuil K du fer, du nickel et du cobalt ferromagnétiques et nous l'expliquons grâce aux règles de somme. Nous avons également appliqué la méthode aux calculs du XMCD dans FeH et CrO2. Dans les deux cas, la combinaison de l'expérience et de la théorie conduit à un enrichissement mutuel. / The main purpose of this thesis was to compute X-ray magnetic circular dichroism spectra at the K-edge in order to provide a tool to interpret the, so far very puzzling, experimental spectra. Computation of circular dichroism requires precise calculations of X-ray absorption spectra (XAS) for circularly polarized light. We have found that there is an incompatibility of the semi-classical time-dependent perturbation theory commonly used to calculate light absorption and scattering cross-sections with both gauge invariance and semi-relativistic descriptions of the electron dynamics. The problems are solved by applying a Foldy-Wouthuysen transformation to the fully relativistic cross-sections given by quantum electrodynamics. In the process, a new light-matter interaction term emerges, that we named the "spin-position" interaction. An efficient first-principles approach was developed to compute the absorption cross-section in order to obtain X-ray magnetic circular dichroism (XMCD) and X-ray natural circular dichroism (XNCD). The numerical method relies on density-functional theory with plane waves and pseudopotentials. We find that the term coupling the electric dipole operator with the spin-position operator contributes significantly to the XMCD at the K-edge of ferromagnetic iron, cobalt, and nickel. We obtain a sum rule relating this term to the spin magnetic moment of the p states. We also applied the method to calculations of K-edge XMCD in FeH and CrO2. In both cases, the combination of experiment and theory leads to mutual enrichment.

Title: Theory and Applications of Optical Activity of Biomolecules Author: Monika Krupová Supervisor: prof. RNDr. Petr Bouř, DSc. Institutions: Faculty of Mathematics and Physics, Charles University, and Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic Abstract: This thesis describes how we used several chiroptical spectroscopic methods to study chiral molecules: vibrational circular dichroism (VCD), circularly polarized luminescence (CPL) and magnetic circular dichroism (MCD). VCD and induced lanthanide CPL were used to study the structure of amyloid protein fibrils. We found out that VCD is very sensitive to their structure and supramolecular chirality. It could be used to distinguish between various polymorphic fibrils. On the other hand, induced lanthanide CPL provided information on the local structure. VCD was also used to study the hydration polymorphism of nucleoside crystals. Due to the crystal packing, the VCD signal was strong and specific for different types of crystals. Finally, electronic structure of hydrated Ln3+ ions was studied by MCD. Molecular dynamics simulations together with crystal field theory (CFT) and multistate complete active space calculations with second order perturbation correction (MS-CASPT2) were used to interpret the spectra. CFT...

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Probing orientations of fluorescent molecules embedded in or attached to cell membranes has a great potential to reveal information on membrane structure and processes occurring in living cells. In this thesis, we first describe one- and two-photon linear dichroism measurements on a fluorescent probe embedded in a phospholipid membrane with a well- defined lipid composition. On the basis of experimental data, we determine the distribution of the angle between the one-photon transition dipole moment of the probe and the membrane normal. At the same time, we perform molecular dynamics simulations of the fluorescent probe and quantum calculations of its one-photon and two-photon absorption properties. By comparing the orientational distribution gained from experiments with that predicted by simulations, we test the ability of linear dichroism measurements to report on the orientation of a fluorescent molecule in a lipid membrane. We also examine the applicability of molecular simulations as a basis for the interpretation of experimental data.

In this work we study thin epilayers of new antiferromagnetic semimetal CuMnAs by time- resolved magneto-optical experiments. In 10 nm layers of CuMnAs, we observed a harmonic dependence of the dynamical magneto-optical signal on the orientation of probe pulse linear polarization. This shows that in this 10 nm layer there is an in-plane uniaxial magnetic anisotropy which can be detected due to a quadratic magneto-optical effect - magnetic linear dichroism. From the measured data we also estimated the Néel temperature and the spectral variation of the magneto-optical coefficient describing the magnitude of the magnetic linear dichroism in this sample.

Code written in the DigitalMicrograph® scripting language enables a new experimental design for acquiring the magnetic dichroism in EELS. Called the q-E STEM setup, it provides simultaneous acquisition of the dichroic pairs of spectra (eliminating major error sources) while preserving the real-space resolution of STEM. This gives the setup great potential for real-space maps of magnetic momenta which can be instrumental in furthering the understanding of e.g. interfacial magnetic effects. The report includes a thorough presentation of the created acquisition routine, a detailed outline of future work and a fast introduction to the DMscript language.

Estudos anteriores mostram que o polímero Nafion® pode causar deslocamento do equilíbrio conformacional de proteínas em valores de pH que não o fisiológico. Nesse sentido, o Nafion® não só pode ser utilizado como uma sonda interessante para estudos estruturais de proteínas, mas, também, é importante entender seu papel na conformação da proteína. Portanto, a Albunina do Soro Bovino (BSA) foi escolhida como modelo para o estudo dos efeitos do Nafion® na conformação helicoidal de proteínas. A finalidade deste trabalho é entender as alterações na conformação e vizinhanças aromáticas da BSA, na faixa de pH de 2 a 12, na presença e ausência de Nafion®, que pode também revelar o papel do polímero na exposição dos aromáticos e nos processos de transferência de energia. As alterações da estrutura secundária foram medidas por Dicroísmo Circular e os espectros de fluorescência no estado estacionário foram usados para analisar as mudanças nas vizinhanças dos aromáticos. Os resultados mostraram a diminuição discreta do conteúdo helicoidal da conformação da BSA na região extremamente básica, pH 11 em relação à conformação em pH 7. Já na região ácida, pH 2, embora haja considerável diminuição do conteúdo helicoidal, a BSA ainda mantém quase 50% de sua conformação secundária regular. Em relação aos ambientes dos aromáticos triptofano e tirosina, a eficiência quântica da emissão de fluorescência diminui em regiões ácidas e básicas, indicando que, nessas estruturas, os aromáticos encontram-se em restrição conformacional em relação ao observado na proteína nativa. Estes resultados apontam para a mudanças na conformação da BSA em ambas as regiões: ácidas e básicas, incluindo mudanças das estruturas secundárias e nas vizinhanças dos aromáticos. A adição do Nafion®, por outro lado, acentua o deslocamento para o azul e diminuição da exposição dos aminoácidos, tanto em solução quanto em estado sólido. A estrutura secundária da proteína é completamente modificada pelo polímero na região ácida, e esta conformação é mantida nas regiões neutra e básica, sugerindo que o Nafion® não estabiliza estruturas helicoidais / Previous studies have shown that Nafion® can disturb the conformational equilibrium of some proteins when at pH other than physiological ones. In this sense, Nafion® can used to study protein conformation, but is also important to understand its interaction with the proteins. In this work, Bovine Serum Albimun (BSA) was chosen as a model to understand the modifications caused by Nafion® at helicoidal proteins conformation. More specifically, the aim encloses the understanding of changes in BSA secondary conformation and aromatic vicinities, at pH range from 2 to 12, in the Nafion®s presence and absence. Secondary changes were measured by Circular Dichroism and steady-state fluorescence was used to study the aromatic vicinities. Results have shown small differences at helix content in the extremely basic pH (pH 11) when compared to BSA conformation at pH 7 (native one). At pH 2, on the other hand, although a decreasing in helical content was observed, BSA was able to keep almost 50% of secondary regular conformation. Regarding the aromatic vicinities (tryptophans and tyrosines) the fluorescence emission quantum eficience decreased in both regions (acid and basic), suggesting that the aromatics in these conformations are found in a more restrict environment. Nafion®, when added, promoted a decreasing in aromatic exposition, both in solution and solid state, while the secondary structure is completelu modified by its presence in all pH range, suggesting that helical conformations are not stabilized by Nafion®