Heteronuclear recoupling methods in solid-state NMR

This thesis is focused on the development of heteronuclear correlation methods in solid-state NMR spectroscopy, where the spatial dependence of the dipolar coupling is exploited to obtain structural and dynamical information in solids. Quantitative results on dipolar coupling constants are extracted by means of spinning sideband analysis in the indirect dimension of the two-dimensional experiments. The principles of sideband analysis were established and are currently widely used in the group of Prof. Spiess for the special case of homonuclear 1H double-quantum spectroscopy. The generalization of these principles to the heteronuclear case is presented, with special emphasis on naturally abundant 13C-1H systems. For proton spectroscopy in the solid state, line-narrowing is of particular importance, and is here achieved by very-fast sample rotation at the magic angle (MAS), with frequencies up to 35 kHz. Therefore, the heteronuclear dipolar couplings are suppressed and have to be recoupled in order to achieve an efficient excitation of the observed multiple-quantum modes. Heteronuclear recoupling is most straightforwardly accomplished by performing the known REDOR experiment, where pi-pulses are applied every half rotor period. This experiment was modified by the insertion of an additional spectroscopic dimension, such that heteronuclear multiple-quantum experiments can be carried out, which, as shown experimentally and theoretically, closely resemble homonuclear double-quantum experiments. Variants are presented which are well-suited for the recording of high-resolution 13C-1H shift correlation and spinning-sideband spectra, by means of which spatial proximities and quantitative dipolar coupling constants, respectively, of heteronuclear spin pairs can be determined. Spectral editing of 13C spectra is shown to be feasible with these techniques. Moreover, order phenomena and dynamics in columnar mesophases with 13C in natural abundance were investigated. Two further modifications of the REDOR concept allow the correlation of 13C with quadrupolar nuclei, such as 2H. The spectroscopic handling of these nuclei is challenging in that they cover large frequency ranges, and with the new experiments it is shown how the excitation problem can be tackled or circumvented altogether, respectively. As an example, one of the techniques is used for the identification of a yet unknown motional process of the H-bonded protons in the crystalline parts of poly(vinyl alcohol).

Farbe und Funktion neuer Molekülarchitekturen auf Rylencarbonsäureimid-Basis

Perylencarbonsäureimide sind Farbmittel mit ausgezeichneter chemischer und photochemischer Stabilität, hohen molaren Extinktionskoeffizienten und hohen Fluoreszenzquantenausbeuten, weswegen ihre Anwendung über die reine Farbgebung hinausgeht und von der Grundlagenforschung bis hin zum funktionellen High-Tech-Material reicht. Ziel der vorliegenden Dissertation mit dem Titel „Farbe und Funktion neuer Molekülarchitekturen auf Rylencarbonsäureimid-Basis“ war die Synthese und Charakterisierung von neuen chromophoren Systemen ausgehend von bekannten Perylenfarbmitteln. Im ersten Teil der Arbeit wird die Synthese eines Konstruktes beschrieben, das es ermöglicht, die Rotation eines Perylenfarbstoffs einzelmolekülspektroskopisch zu visualisieren. Mit der Methode der defokussierten Einzelmolekülspektroskopie kann die Immobilisierung des molekularen Rotors nachgewiesen und die Umorientierung des Farbstoffs detektiert werden. In den folgenden Kapiteln steht die gezielte Variation bekannter chromophorer Systeme im Vordergrund. Die Veränderung der Größe, der Topologie und der Substitution des aromatischen π-Systems hat erheblichen Einfluss auf die optischen Eigenschaften sowie auf die Eignung der Moleküle als funktionelle Farbmittel, beispielsweise in optoelektronischen Bauteilen. Anhand der Eigenschaften der dargestellten Derivate können systematische Zusammenhänge zwischen Struktur, Farbe und Funktion abgeleitet werden.

Enteric coated mucoadhesive micropellets in rotary agglomeration process for wet spheronization

In this work a generally applicable method for the preparation of mucoadhesive micropellets of 250 to 600µm diameter is presented using rotor processing without the use of electrolytes. The mucoadhesive micropellets were developed to combine the advantages of mucoadhesion and microparticles. It was possible to produce mucoadhesive micropellets based on different mucoadhesive polymers Na-CMC, Na-alginate and chitosan. These micropellets are characterized by a lower friability (6 to 17%) when compared to industrial produced cellulose pellets (Cellets®) (41.5%). They show great tapped density and can be manufactured at high yields. The most influencing variables of the process are the water content at the of the end spraying period, determined by the liquid binder amount, the spraying rate, the inlet air temperature, the airflow and the humidity of the inlet air and the addition of the liquid binder, determined by the spraying rate, the rotor speed and the type of rotor disc. In a subsequent step a fluidized bed coating process was developed. It was possible to manifest a stable process in the Hüttlin Mycrolab® in contrast to the Mini-Glatt® apparatus. To reach enteric resistance, a 70% coating for Na-CMC micropellets, an 85% for chitosan micropellets and a 140% for Na-alginate micropellets, based on the amount of the starting micropellets, was necessary. Comparative dissolution experiments of the mucoadhesive micropellets were performed using the paddle apparatus with and without a sieve inlay, the basket apparatus, the reciprocating cylinder and flow-through cell. The paddle apparatus and the modified flow-through cell method turned out to be successful methods for the dissolution of mucoadhesive micropellets. All dissolution profiles showed an initial burst release followed by a slow release due to diffusion control. Depending on the method, the dissolution profiles changed from immediate release to slow release. The dissolution rate in the paddle apparatus was mainly influenced by the agitation rate whereas the flow-through cell pattern was mainly influenced by the particle size. Also, the logP and the HLB values of different emulsifiers were correlated to transfer HLB values of excipients into logP values and logP values of API´s into HLB values. These experiments did not show promising results. Finally, it was shown that manufacture of mucoadhesive micropellets is successful resulting in product being characterized by enteric resistency combined with high yields and convincing morphology.

Chiral properties of two-flavour QCD at zero and non-zero temperature

Lattice Quantum Chromodynamics (LQCD) is the preferred tool for obtaining non-perturbative results from QCD in the low-energy regime. It has by nowrnentered the era in which high precision calculations for a number of phenomenologically relevant observables at the physical point, with dynamical quark degrees of freedom and controlled systematics, become feasible. Despite these successes there are still quantities where control of systematic effects is insufficient. The subject of this thesis is the exploration of the potential of todays state-of-the-art simulation algorithms for non-perturbativelyrn$\mathcal{O}(a)$-improved Wilson fermions to produce reliable results in thernchiral regime and at the physical point both for zero and non-zero temperature. Important in this context is the control over the chiral extrapolation. Thisrnthesis is concerned with two particular topics, namely the computation of hadronic form factors at zero temperature, and the properties of the phaserntransition in the chiral limit of two-flavour QCD.rnrnThe electromagnetic iso-vector form factor of the pion provides a platform to study systematic effects and the chiral extrapolation for observables connected to the structure of mesons (and baryons). Mesonic form factors are computationally simpler than their baryonic counterparts but share most of the systematic effects. This thesis contains a comprehensive study of the form factor in the regime of low momentum transfer $q^2$, where the form factor is connected to the charge radius of the pion. A particular emphasis is on the region very close to $q^2=0$ which has not been explored so far, neither in experiment nor in LQCD. The results for the form factor close the gap between the smallest spacelike $q^2$-value available so far and $q^2=0$, and reach an unprecedented accuracy at full control over the main systematic effects. This enables the model-independent extraction of the pion charge radius. The results for the form factor and the charge radius are used to test chiral perturbation theory ($\chi$PT) and are thereby extrapolated to the physical point and the continuum. The final result in units of the hadronic radius $r_0$ is rn$$ \left\langle r_\pi^2 \right\rangle^{\rm phys}/r_0^2 = 1.87 \: \left(^{+12}_{-10}\right)\left(^{+\:4}_{-15}\right) \quad \textnormal{or} \quad \left\langle r_\pi^2 \right\rangle^{\rm phys} = 0.473 \: \left(^{+30}_{-26}\right)\left(^{+10}_{-38}\right)(10) \: \textnormal{fm} \;, $$rn which agrees well with the results from other measurements in LQCD and experiment. Note, that this is the first continuum extrapolated result for the charge radius from LQCD which has been extracted from measurements of the form factor in the region of small $q^2$.rnrnThe order of the phase transition in the chiral limit of two-flavour QCD and the associated transition temperature are the last unkown features of the phase diagram at zero chemical potential. The two possible scenarios are a second order transition in the $O(4)$-universality class or a first order transition. Since direct simulations in the chiral limit are not possible the transition can only be investigated by simulating at non-zero quark mass with a subsequent chiral extrapolation, guided by the universal scaling in the vicinity of the critical point. The thesis presents the setup and first results from a study on this topic. The study provides the ideal platform to test the potential and limits of todays simulation algorithms at finite temperature. The results from a first scan at a constant zero-temperature pion mass of about 290~MeV are promising, and it appears that simulations down to physical quark masses are feasible. Of particular relevance for the order of the chiral transition is the strength of the anomalous breaking of the $U_A(1)$ symmetry at the transition point. It can be studied by looking at the degeneracies of the correlation functions in scalar and pseudoscalar channels. For the temperature scan reported in this thesis the breaking is still pronounced in the transition region and the symmetry becomes effectively restored only above $1.16\:T_C$. The thesis also provides an extensive outline of research perspectives and includes a generalisation of the standard multi-histogram method to explicitly $\beta$-dependent fermion actions.