Open Access

Bela E. Bode

• Pulsed electron-electron double resonance (PELDOR) is a well established method concerning nanometer distance measurements involving two nitroxide spin-labels. In this thesis the applicability of this method to count the number of spins is tested. Furthermore, this work explored the limits, up to which PELDOR data obtained on copper(II)-nitroxide complexes can be quantitatively interpreted. Spin counting provides access to oligomerization studies – monitoring the assembly of homo- or hetero-oligomers from singly labeled compounds. The experimental calibration was performed using model systems, which contain one to four nitroxide radicals. The results show that monomers, dimers, trimers, and tetramers can be distinguished within an error of 5% in the number of spins. Moreover, a detailed analysis of the distance distributions in model complexes revealed that more than one distance can be extracted from complexes bearing several spins, as for example three different distances were resolved in a model tetramer – the other three possible distances being symmetry related. Furthermore, systems exhibiting mixtures of oligomeric states complicate the analysis of the data, because the average number of spin centers contributes nonlinearly to the signal and different relaxation behavior of the oligomers has to be treated explicitly. Experiments solving these problems are proposed in the thesis. Thus, for the first time spin counting has been experimentally calibrated using fully characterized test systems bearing up to four spins. Moreover, the behavior of mixtures was quantitatively interpreted. In addition, it has been shown that several spin-spin distances within a molecule can be extracted from a single dataset. In the second part of the thesis PELDOR experiments on a spin-labeled copper(II)-porphyrin have been quantitatively analyzed. Metal-nitroxide distance measurements are a valuable tool for the triangulation of paramagnetic metal ions. Therefore, X-band PELDOR experiments at different frequencies have been performed. The data exhibits only weak orientation selection, but a fast damping of the oscillation. The experimental data has been interpreted based upon quantitative simulations. The influence of orientation selection, conformational flexibility, spin-density distribution, exchange interaction J, as well as anisotropy and strains of the g-tensor has been examined. An estimate of the spin-density delocalization has been obtained by density functional theory calculations. The dipolar interaction tensor was calculated from the point-charge model, the extension of the point-dipole approximation to several spin bearing centers. Even assuming asymmetric spin distributions induced by an ensemble of asymmetrically distorted porphyrins the effect of delocalization on the PELDOR time trace is weak. The observed damping of dipolar oscillations has been only reproduced by simulations, if a small distribution in J was assumed. It has been shown that the experimental damping of dipolar modulations is not solely due to conformational heterogeneity. In conclusion the quantitative interpretation of PELDOR data is extended to copper-nitroxide- and multi-spin-systems. The influence of the mean distance, of the number of coupled spins, of the conformational flexibility, of spin-density distribution and of the electronic structure of the spin centers has been analyzed using model systems. The insights on model compounds mimicking spin-labeled biomacromolecules – in oligomeric or metal bound states – calibrate the method with respect to the information that can be deduced from the experimental data. The resulting in-depth understanding allows correlating experimental results (from for example biological systems) with models of structure and dynamics. It also opens new fields for PELDOR as for example triangulation of metal centers and oligomerization studies. In general, this thesis has demonstrated that modern pulsed electron paramagnetic resonance techniques in combination with quantitative data analysis can contribute to a detailed insight into molecular structure and dynamics.