Parity violation in molecular magnetic resonance properties

The Standard Model of particle physics consists of the quantum electrodynamics (QED) and the weak and strong nuclear interactions. The QED is the basis for molecular properties, and thus it defines much of the world we see. The weak nuclear interaction is responsible for decays of nuclei, among other things, and in principle, it should also effects at the molecular scale. The strong nuclear interaction is hidden in interactions inside nuclei. From the high-energy and atomic experiments it is known that the weak interaction does not conserve parity. Consequently, the weak interaction and specifically the exchange of the Z^0 boson between a nucleon and an electron induces small energy shifts of different sign for mirror image molecules. This in turn will make the other enantiomer of a molecule energetically favorable than the other and also shifts the spectral lines of the mirror image pair of molecules into different directions creating a split. Parity violation (PV) in molecules, however, has not been observed. The topic of this thesis is how the weak interaction affects certain molecular magnetic properties, namely certain parameters of nuclear magnetic resonance (NMR) and electron spin resonance (ESR) spectroscopies. The thesis consists of numerical estimates of NMR and ESR spectral parameters and investigations of the effects of different aspects of quantum chemical computations to them. PV contributions to the NMR shielding and spin-spin coupling constants are investigated from the computational point of view. All the aspects of quantum chemical electronic structure computations are found to be very important, which makes accurate computations challenging. Effects of molecular geometry are also investigated using a model system of polysilyene chains. PV contribution to the NMR shielding constant is found to saturate after the chain reaches a certain length, but the effects of local geometry can be large. Rigorous vibrational averaging is also performed for a relatively small and rigid molecule. Vibrational corrections to the PV contribution are found to be only a couple of per cents. PV contributions to the ESR g-tensor are also evaluated using a series of molecules. Unfortunately, all the estimates are below the experimental limits, but PV in some of the heavier molecules comes close to the present day experimental resolution.

Electron and proton transfer in NADH:ubiquinone oxidoreductase (Complex I) from Escherichia coli

Cells of every living organism on our planet − bacterium, plant or animal − are organized in such a way that despite differences in structure and function they utilize the same metabolic energy represented by electrochemical proton gradient across a membrane. This gradient of protons is generated by the series of membrane bound multisubunit proteins, Complex I, II, III and IV, organized in so-called respiratory or electron transport chain. In the eukaryotic cell it locates in the inner mitochondrial membrane while in the bacterial cell it locates in the cytoplasmic membrane. The function of the respiratory chain is to accept electrons from NADH and ubiquinol and transfer them to oxygen resulting in the formation of water. The free energy released upon these redox reactions is converted by respiratory enzymes into an electrochemical proton gradient, which is used for synthesis of ATP as well as for many other energy dependent processes. This thesis is focused on studies of the first member of the respiratory chain − NADH:ubiquinone oxidoreductase or Complex I. This enzyme has a boot-shape structure with hydrophilic and hydrophobic domains, the former of which has all redox groups of the protein, the flavin and eight to nine iron-sulfur clusters. Complex I serves as a proton pump coupling transfer of two electrons from NADH to ubiquinone to the translocation of four protons across the membrane. So far the mechanism of energy transduction by Complex I is unknown. In the present study we applied a set of different methods to study the electron and proton transfer reactions in Complex I from Escherichia coli. The main achievement was the experiment that showed that the electron transfer through the hydrophilic domain of Complex I is unlikely to be coupled to proton transfer directly or to conformational changes in the protein. In this work for the first time properties of all redox centers of Complex I were characterized in the intact purified bacterial enzyme. We also probed the role of several conserved amino acid residues in the electron transfer of Complex I. Finally, we found that highly conserved amino acid residues in several membrane subunits form a common pattern with a very prominent feature – the presence of a few lysines within the membrane. Based on the experimental data, we suggested a tentative principle which may govern the redox-coupled proton pumping in Complex I.

Proton translocation coupled to electron transfer reactions in terminal oxidases

Terminal oxidases are the final proteins of the respiratory chain in eukaryotes and some bacteria. They catalyze most of the biological oxygen consumption on Earth done by aerobic organisms. During the catalytic reaction terminal oxidases reduce dioxygen to water and use the energy released in this process to maintain the electrochemical proton gradient by functioning as a redox-driven proton pump. This membrane gradient of protons is extremely important for cells as it is used for many cellular processes, such as transportation of substrates and ATP synthesis. Even though the structures of several terminal oxidases are known, they are not sufficient in themselves to explain the molecular mechanism of proton pumping. In this work we have applied a complex approach using a variety of different techniques to address the properties and the mechanism of proton translocation by the terminal oxidases. The combination of direct measurements of pH changes during catalytic turnover, time-resolved potentiometric electrometry and optical spectroscopy, made it possible to obtain valuable information about various aspects of oxidase functioning. We compared oxygen binding properties of terminal oxidases from the distinct heme-copper (CcO) and cytochrome bd families and found that cytochrome bd has a high affinity for oxygen, which is 3 orders of magnitude higher than that of CcO. Interestingly, the difference between CcO and cytochrome bd is not only in higher affinity of the latter to oxygen, but also in the way that each of these enzymes traps oxygen during catalysis. CcO traps oxygen kinetically - the molecule of bound dioxygen is rapidly reduced before it can dissociate. Alternatively, cytochrome bd employs an alternative mechanism of oxygen trapping - part of the redox energy is invested into tight oxygen binding, and the price paid for this is the lack of proton pumping. A single cycle of oxygen reduction to water is characterized by translocation of four protons across the membrane. Our results make it possible to assign the pumping steps to discrete transitions of the catalytic cycle and indicate that during in vivo turnover of the oxidase these four protons are transferred, one at a time, during the P→F, F→OH, Oh→Eh, and Eh→R transitions. At the same time, each individual proton translocation step in the catalytic cycle is not just a single reaction catalyzed by CcO, but rather a complicated sequence of interdependent electron and proton transfers. We assume that each single proton translocation cycle of CcO is assured by internal proton transfer from the conserved Glu-278 to an as yet unidentified pump site above the hemes. Delivery of a proton to the pump site serves as a driving reaction that forces the proton translocation cycle to continue.