Computer simulations of charged systems in partially periodic geometries

This work presents algorithms for the calculation of the electrostatic interaction in partially periodic systems. The framework for these algorithms is provided by the simulation package ESPResSo, of which the author was one of the main developers. The prominent features of the program are listed and the internal structure is described. In the following, algorithms for the calculation of the Coulomb sum in three dimensionally periodic systems are described. These methods are the foundations for the algorithms for partially periodic systems presented in this work. Starting from the MMM2D method for systems with one non-periodic coordinate, the ELC method for these systems is developed. This method consists of a correction term which allows to use methods for three dimensional periodicity also for the case of two periodic coordinates. The computation time of this correction term is neglible for large numbers of particles. The performance of MMM2D and ELC are demonstrated by results from the implementations contained in ESPResSo. It is also discussed, how different dielectric constants inside and outside of the simulation box can be realized. For systems with one periodic coordinate, the MMM1D method is derived from the MMM2D method. This method is applied to the problem of the attraction of like-charged rods in the presence of counterions, and results of the strong coupling theory for the equilibrium distance of the rods at infinite counterion-coupling are checked against results from computer simulations. The degree of agreement between the simulations at finite coupling and the theory can be characterized by a single parameter gamma_RB. In the special case of T=0, one finds under certain circumstances flat configurations, in which all charges are located in the rod-rod plane. The energetically optimal configuration and its stability are determined analytically, which depends on only one parameter gamma_z, similar to gamma_RB. These findings are in good agreement with results from computer simulations.

In vitro synthesis of the light-harvesting complex into artificial membrane systems

In green plants, the function of collecting solar energy for photosynthesis is fulfilled by a series of light-harvesting complexes (LHC). The light-harvesting chlorophyll a/b protein (LHCP) is synthesized in the cytosol as a precursor (pLHCP), then imported into chloroplasts and assembled into photosynthetic thylakoid membranes. Knowledge about the regulation of the transport processes of LHCP is rather limited. Closely mimicking the in vivo situation, cell-free protein expression system is employed in this dissertation to study the reconstitution of LHCP into artificial membranes. The approach starts merely from the genetic information of the protein, so the difficult and time-consuming procedures of protein expression and purification can be avoided. The LHCP encoding gene from Pisum sativum was cloned into a cell-free compatible vector system and the protein was expressed in wheat germ extracts. Vesicles or pigment-containing vesicles were prepared with either synthetic lipid or purified plant leaf lipid to mimic cell membranes. LHCP was synthesized in wheat germ extract systems with or without supplemented lipids. The addition of either synthetic or purified plant leaf lipid was found to be beneficial to the general productivity of the expression system. The lipid membrane insertion of the LHCP was investigated by radioactive labelling, protease digestion, and centrifugation assays. The LHCP is partially protected against protease digestion; however the protection is independent from the supplemented lipids.

Electron spectroscopy of novel charge transfer systems based on polycyclic aromatic hydrocarbons

Organische Ladungstransfersysteme weisen eine Vielfalt von konkurrierenden Wechselwirkungen zwischen Ladungs-, Spin- und Gitterfreiheitsgraden auf. Dies führt zu interessanten physikalischen Eigenschaften, wie metallische Leitfähigkeit, Supraleitung und Magnetismus. Diese Dissertation beschäftigt sich mit der elektronischen Struktur von organischen Ladungstransfersalzen aus drei Material-Familien. Dabei kamen unterschiedliche Photoemissions- und Röntgenspektroskopietechniken zum Einsatz. Die untersuchten Moleküle wurden z.T. im MPI für Polymerforschung synthetisiert. Sie stammen aus der Familie der Coronene (Donor Hexamethoxycoronen HMC und Akzeptor Coronen-hexaon COHON) und Pyrene (Donor Tetra- und Hexamethoxypyren TMP und HMP) im Komplex mit dem klassischen starken Akzeptor Tetracyanoquinodimethan (TCNQ). Als dritte Familie wurden Ladungstransfersalze der k-(BEDT-TTF)2X Familie (X ist ein monovalentes Anion) untersucht. Diese Materialien liegen nahe bei einem Bandbreite-kontrollierten Mottübergang im Phasendiagramm.rnFür Untersuchungen mittels Ultraviolett-Photoelektronenspektroskopie (UPS) wurden UHV-deponierte dünne Filme erzeugt. Dabei kam ein neuer Doppelverdampfer zum Einsatz, welcher speziell für Milligramm-Materialmengen entwickelt wurde. Diese Methode wies im Ladungstransferkomplex im Vergleich mit der reinen Donor- und Akzeptorspezies energetische Verschiebungen von Valenzzuständen im Bereich weniger 100meV nach. Ein wichtiger Aspekt der UPS-Messungen lag im direkten Vergleich mit ab-initio Rechnungen.rnDas Problem der unvermeidbaren Oberflächenverunreinigungen von lösungsgezüchteten 3D-Kristallen wurde durch die Methode Hard-X-ray Photoelectron Spectroscopy (HAXPES) bei Photonenenergien um 6 keV (am Elektronenspeicherring PETRA III in Hamburg) überwunden. Die große mittlere freie Weglänge der Photoelektronen im Bereich von 15 nm resultiert in echter Volumensensitivität. Die ersten HAXPES Experimente an Ladungstransferkomplexen weltweit zeigten große chemische Verschiebungen (mehrere eV). In der Verbindung HMPx-TCNQy ist die N1s-Linie ein Fingerabdruck der Cyanogruppe im TCNQ und zeigt eine Aufspaltung und einen Shift zu höheren Bindungsenergien von bis zu 6 eV mit zunehmendem HMP-Gehalt. Umgekehrt ist die O1s-Linie ein Fingerabdruck der Methoxygruppe in HMP und zeigt eine markante Aufspaltung und eine Verschiebung zu geringeren Bindungsenergien (bis zu etwa 2,5eV chemischer Verschiebung), d.h. eine Größenordnung größer als die im Valenzbereich.rnAls weitere synchrotronstrahlungsbasierte Technik wurde Near-Edge-X-ray-Absorption Fine Structure (NEXAFS) Spektroskopie am Speicherring ANKA Karlsruhe intensiv genutzt. Die mittlere freie Weglänge der niederenergetischen Sekundärelektronen (um 5 nm). Starke Intensitätsvariationen von bestimmten Vorkanten-Resonanzen (als Signatur der unbesetzte Zustandsdichte) zeigen unmittelbar die Änderung der Besetzungszahlen der beteiligten Orbitale in der unmittelbaren Umgebung des angeregten Atoms. Damit war es möglich, präzise die Beteiligung spezifischer Orbitale im Ladungstransfermechanismus nachzuweisen. Im genannten Komplex wird Ladung von den Methoxy-Orbitalen 2e(Pi*) und 6a1(σ*) zu den Cyano-Orbitalen b3g und au(Pi*) und – in geringerem Maße – zum b1g und b2u(σ*) der Cyanogruppe transferiert. Zusätzlich treten kleine energetische Shifts mit unterschiedlichem Vorzeichen für die Donor- und Akzeptor-Resonanzen auf, vergleichbar mit den in UPS beobachteten Shifts.rn

Reparation and enforcement of judgments : a comparative analysis of the European and Inter-American human rights systems

The inter-American human rights system has been conceived following the example of the European system under the European Convention on Human Rights (ECHR) before it was modified by Protocol No 11. However, two important differences exist. First, the authority of the European Court of Human Rights (ECtHR) to order reparation has been strictly limited by the principle of subsidiarity. Thus, the ECtHR's main function is to determine whether the ECHR has been violated. Beyond the declaratory effect of its judgments, according to Article 41 ECHR, it may only "afford just satisfaction to the injured party". The powers of the Inter-American Court of Human Rights (IACtHR) were conceived in a much broader fashion in Article 63 of the American Convention on Human Rights (ACHR), giving the Court the authority to order a variety of individual and general measures aimed at obtaining restitutio in integrum. The first main part of this thesis shows how both Courts have developed their reparation practice and examines the advantages and disadvantages of each approach. Secondly, the ECtHR's rather limited reparation powers have, interestingly, been combined with an elaborate implementation system that includes several of the Council of Europe's organs, principally the Committee of Ministers. In the Inter-American System, no dedicated mechanism was implemented to oversee compliance with the IACtHR's judgments. The ACHR limits itself to inviting the Court to point out in its annual reports the cases that have not been complied with and to propose measures to be adopted by the General Assembly of the Organization of American States. The General Assembly, however, hardly ever took action. The IACtHR has therefore filled this gap by developing a proper procedure to oversee compliance with its judgments. Both the European and the American solutions to ensure compliance are presented and compared in the second main part of this thesis. Finally, based on the results of both main parts, a comparative analysis of the reparation practice and the execution results in both human rights systems is being provided, aimed at developing proposals for the improvement of the functioning of either human rights protection system.