Tertiary butyl alcohol (TBA) is used as a fuel oxygenate and is the main breakdown component of methyl tert butyl ether (MTBE). As such, TBA is found in water systems through storage leaks and spills, presence of MTBE in the water, and as an impure byproduct of MTBE-blended fuels. It presents several health hazards and is a suspected carcinogen. Studies involving aquatic life, mice and rats indicate that TBA is a concern at low concentrations. Wastewater removal of tert butyl alcohol (TBA) has been limited to methodology used by MTBE or by anaerobic or aerobic methods. Neither set of techniques is applicable to TBA due to its long biological degradation period, its very specific conditions for anerobic or aerobic treatment, and its low Henry's law constant, low transformation rate, and its high mobility. The main goal of this project was to determine the adsorption capabilities of different zeolites for TBA. A comparison to previous work done with powdered zeolites and MTBE is shown in the following Chapters. Batch systems of TBA and several different zeolites were examined to determine the best zeolites for TBA adsorption. As shown in Chapter 3, the best zeolites for TBA adsorption over an equilibrium time of 48 hours were silicalite and HiSiv 3000 pellets. Using the two chosen zeolites, silicalite and HiSiv 3000, adsorption isotherms were created and compared against MTBE data using the same data. The final portion of this project included a continuous system consisting of a zeolite column and a steady flow rate of TBA. The zeolite columns consisted of sole silicalite, sole HiSiv 3000, and different proportions of the two zeolites in the same column. All column experiments were run at similar conditions with variation in the adsorbent bed lengths for easy comparison between the resulting breakthrough curves. At the 3-cm bed length, the zeolite columns outperformed the activated carbon column; however, there was no distinct difference between the zeolite columns. In the 6-cm bed length experiments, there were apparent differences between the two zeolite breakthrough curves. The 9-cm column did not differentiate between the zeolites.

Recently, clathrate hydrate has attracted much attention because of its energy gas enclathration phenomenon. Since energy gas such as methane, ethane, and hydrogen could be stored in solid hydrate form, clathrate hydrate research has been considerably focused on energy gas storage and transportation medium. Especially, methane hydrate, which is crystalline compound that are formed by physical interaction between water and relatively small sized guest molecules, can contain about as much as 180 volumes of gas at standard pressure and temperature condition. To utilize gas hydrate as energy storage and transportation medium, two important key features: storage capacity and storage condition must be considered. Herein, we report the inclusion phenomena of methane occurred on tert-butyl alcohol hydrate through thermodynamic measurement and spectroscopic analysis by using powder X-ray diffractometer, and 13C solidstate NMR. From spectroscopic analysis, we found the formation of sII type (cubic, Fd3m) clathrate hydrate by introducing methane gas into tert-butyl alcohol hydrate whereas tert-butyl alcohol hydrate alone does not form clathrate hydrate structure. Under equilibrium condition, pressure-lowering effect of methane + tert-butyl alcohol double hydrate was also observed. The present results give us several key features for better understanding of inclusion phenomena occurring in the complex hydrate systems and further developing methane or other gas storage and transportation technique.

No description available.

<div> <div> <div> <p>The Effective Fragment Potential (EFP) is a quantum-mechanical based model potential for accurate calculations of non-covalent interactions between molecules. It can be coupled with ab initio methods in so-called QM/EFP models to explore the electronic properties of extended molecular systems by providing rigorous description of surrounding environments. The current EFP formulation is, however, not well suited for large-scale simulations due to its inherent limitation of representing effective fragments as rigid structures. The process of utilizing EFP method for the molecular systems with flexible degrees of freedom entails multiple sets of parameter calculations requiring intensive computational resources. This work presents development of the EFP method for describing flexible molecular systems, so-called Flexible EFP. To validate the applicability of the Flexible EFP method, extensive benchmark studies on the amino acid interactions, binding energies, and electronic properties of flavin chromophore of the cryptochrome protein have been demonstrated. In addition to methodological developments, excitonic properties of the Fenna-Matthews-Olson (FMO) photosynthetic pigment-protein complex are explored. In biological systems where intermolecular interactions span a broad range from non-polar to polar and ionic forces, EFP is superior to the classical force fields. In the present study, we demonstrate excellent performance of the QM/EFP model for predicting excitonic interactions and spectral characteristics of the FMO wildtype complex. We characterize the key factors for accurate modeling of electronic properties of bacteriochlrophyll a (BChl a) photosynthetic pigments and suggest a robust computational protocol that can be applied for modeling other photosynthetic systems. Developed computational procedures were also successfully utilized to elucidate photostability and triplet dynamics in the FMO complex and spectroscopic effects of single-point mutagenesis in FMO. A combination of polarizable EFP molecular dynamics and QM/EFP vibrational frequency calculations were also applied to understanding and interpreting structures and Raman spectroscopy of tert-butyl alcohol solutions. </p> </div> </div> </div>

A technology for optimization of potential parameters from condensed phase simulations (POP) is discussed and illustrated. It is based on direct calculations of the derivatives of macroscopic observables with respect to the potential parameters. The derivatives are used in a local minimization scheme, comparing simulated and experimental data. In particular, we show that the Newton Trust-Region protocol allows for accurate and robust optimization. POP is illustrated for a toy problem of alanine dipeptide and is applied to folding of the peptide WAAAH. The helix fraction is highly sensitive to the potential parameters while the slope of the melting curve is not. The sensitivity variations make it difficult to satisfy both observations simultaneously. We conjecture that there is no set of parameters that reproduces experimental melting curves of short peptides that are modeled with the usual functional form of a force field. We then apply the newly developed technology to study the liquid mixture of tert-butanol and water. We are able to obtain, after 4 iterations, the correct phase behavior and accurately predict the value of the Kirkwood Buff (KB) integrals. We further illustrate that a potential that is determined solely by KB information, or the pair correlation function, is not necessarily unique. / text

Expansionen komprimierter Fluide finden breite Anwendung und werden hier mit Hilfe der Schwingungsspektroskopie untersucht. Dabei ist der Aggregatzustand der bei der Zerstäubung entstehenden Partikel von besonderem Interesse. In Abhängigkeit von Stagnationsdruck, Düsentemperatur, und Düsenabstand werden neben Lachgas tert-Butylalkohol und n-Pentan hinsichtlich ihrer Partikelbildung charakterisiert. Die Ergebnisse bilden eine Grundlage für die Expansion nahkritischer Lösungen.

L'objectif de ce travail est l'étude de la solubilité d'un principe actif hydrophobe modèle, le diazépam, dans un solvant binaire d'intérêt pour la lyophilisation industrielle, le mélange eau + tert-butanol. Un modèle décrivant la dépendance du volume d'excès du solvant vis-à-vis de sa composition et de sa température a été validé à partir de données mesurées au cours de ce travail et de données de la littérature. Les variations de diverses propriétés partielles d'excès issues de ce modèle en fonction de la composition du solvant et de sa température ont été interprétées en termes d'interactions moléculaires et d'arrangements structuraux. Ensuite, la solubilité du diazépam dans le solvant a été mesurée en fonction de sa composition et de sa température. La masse volumique des phases liquides saturées ainsi que les propriétés thermophysiques des cristaux de principe actif originels et des phases solides en excès issues des équilibres solide-liquide ont été déterminées. Les propriétés thermodynamiques caractéristiques du processus de dissolution du diazépam en condition d'équilibre ont été obtenues à partir de la dépendance de sa solubilité vis-à-vis de la température. À partir de ces données, les propriétés thermodynamiques d'excès du diazépam dans les différents mélanges saturés ont été calculées et les forces responsables de la variation de la solubilité du principe actif avec la composition du solvant ont été identifiées. Enfin, la capacité de deux modèles d'enthalpie libre d'excès, le modèle de Scatchard-Hildebrand combiné ou non au modèle de Flory-Huggins, à corréler les données expérimentales de solubilité a été évaluée et comparée / The aim of this work is to investigate the solubility behavior of a hydrophobic model drug, diazepam, in a binary solvent of industrial interest for freeze-drying, the water + tert-butyl alcohol mixture. Firstly, a model describing the dependence of the excess volume of the solvent on both composition and temperature was validated from experimental data obtained during this work and literature data. This model was used to derive expressions for excess partial thermodynamic quantities and their variations with respect to composition and temperature were discussed in terms of molecular interactions and structural arrangements in solution. Secondly, the solubility of diazepam in neat solvents and different binary solvent mixtures was determined. The density of drug-saturated mixtures was also determined as well as the thermophysical properties of original diazepam crystals and excess solid phases from solid-liquid equilibria. The thermodynamic properties relative to the dissolution process of the drug under saturation condition were obtained from solubility temperature dependence using van’t Hoff plots. From these, the excess partial thermodynamic properties of diazepam in saturated mixtures were computed and the forces driving the drug solubility variation with respect to the solvent composition were identified. Finally, two excess Gibbs energy models, the Scatchard-Hildebrand and combined Scatchard-Hildebrand/Flory-Huggins models were tested to represent the solubility data. Their capabilities in correlating the dependence of the drug solubility on both the solvent composition and temperature were evaluated and compared

The switch to unleaded fuels in the 1970s and the high air pollution in areas of high population density due to traffic particularly since the 1990s required the use of alternative fuel additives to achieve an improvement of the combustion. The utilization of oxygenated hydrocarbons as antiknock additives and so-called oxygenates provided a more complete and efficient combustion with simultaneously less harmful and polluting emissions. These include the synthetic ethers methyl tert-butyl ether (MTBE), ethyl tert-butyl ether (ETBE), tert-amyl methyl ether (TAME) and tert-amyl ethyl ether (TAEE). MTBE has a particular position as within some years it became the dominant oxygenate worldwide. Since then, over 100.000 leakages, most often in close proximity to gas stations, resulted in just as many oxygenate-contaminated sites of soil and groundwater within few years. The high water solubility of these ethers leads to an especially fast and extensive spread of the contamination plumes. Ether-contaminated groundwater has a turpentine-like taste that is noticed already in really low concentrations. Thus, such water can no longer serve as drinking water and requires a counter-measure. The chemical parameters of oxygenates decrease the efficiency of otherwise successfully applied techniques such as adsorption or aeration. In addition the ethers proved recalcitrant against microbial attack. The search for microorganisms that could degrade these synthetic oxygenates indeed resulted in the enrichment of many isolates. The majority of these isolates oxidize the ethers in a cometabolic manner either partially or completely to CO2. However, only few cultures are capable of independent growth on these oxygenates. These include the beta-proteobacteria Methylibium petroleiphilum PM1 and Aquincola tertiaricarbonis L108, of which the latter is of particular interest for the present work. Strain L108 is characterized by good growth on MTBE and is presently the only known isolate which is able to mineralize ETBE, TAME and TAEE at similar rates. This work examined the seemingly particularly well adapted oxygenate ether metabolism of strain L108, that was formerly isolated from an aquifer highly contaminated with MTBE. Via diverse deletion studies key enzymes of the degradative metabolism and their genetic background were clearly identified. Hence, the results of this work contribute to verify so far just hypothesized metabolic steps by detailed enzymatic and genetic studies. Based on detected metabolites, first studies on MTBE biodegradation already postulated an oxidative pathway via TBA, 2-methyl-1,2-propane-diol (MPD) and 2-HIBA. In case of a monoxygenatic hydroxylation of the methoxy group of MTBE a hemiacetale results as reaction product, from which the tertiary alcohol TBA can be formed easily in subsequent reactions. By comparing wild type strain L108 with the spontaneous mutant strain L10, we were now able to clearly show that the cytochrome P-450 monoxygenase system EthABCD accounts solely for this MTBE-oxidizing activity. It is also the only enzyme catalyzing the corresponding hydroxylation of ETBE, TAME and TAEE. In strain L108 this enzyme complex is expressed constitutively. TBA, which is also generated from hydroxylation of ETBE, is, as postulated and verified by this study, degraded by a different monoxygenase resulting in MPD. Via Tn5-mediated mutations this enzyme was confirmed as Rieske non-heme mononuclear iron monooxygenase MdpJ. MPD is further altered to the corresponding branched acid 2-HIBA, presumably by two dehydrogenation reactions. For the degradation of 2-HIBA, diverse hypotheses exist on the basis of known enzymatic reactions. Another Tn5 mutation now gave evidence, that in the mentioned beta-proteobacteria the novel mutase HcmAB linearizes 2-HIBA to 3-hydroxybutyric acid (3-HB) dependent on cobalamin and coenzyme A (CoA). Sequence comparison revealed, that strain L108 acquired all three key enzyme complexes, EthABCD, MdpJ and HcmAB via horizontal gene transfer (HGT). For TAME and TAEE a completely new degradation pathway was found. In strain L108, the resulting degradation product tert-amyl alcohol (TAA) of these ethers is, like TBA, also specifically oxidized by MdpJ. In Tn5-deletion studies and metabolite analyzes, however, no hydroxylation could be detected. Instead, TAA is rather desaturated. Therefore within the metabolism no diols or acids analogue to MPD or 2-HIBA were formed. Instead, via MdpJ TAA is initially degraded to the unsaturated tertiary alcohol and hemiterpene 2-methyl-3-butene-2-ol. Prenol (3-methyl-2-buten-2-ol), prenal (3-methyl-2-buten-2-al) and 3-methyl crotonic acid were detected as additional metabolites. Hence, an isomerization of the branched acid by HcmAB is apparently irrelevant in TAA biodegradation. Accordingly it could be shown, that deletion mutants for HcmAB indeed could not grow on TBA, but are still able to grow on TAA, just as fast as the wild type, in fact. The tertiary alcohol 2-methyl-3-butene-2-ol is presumably transformed via another isomerase resulting in the primary alcohol prenol. Prenol is further oxidized by postulated dehydrogenases to 3-methyl crotonic acid. This would also be in correlation to the already observed degradation pathway of the monoterpene linalool in other bacteria. However, the responsible enzymes in strain L108 are not yet identified. Besides this principal gain of knowledge in the degradation of xenobiotic ether structures and the evolution of degradative microorganism, the now confirmed key enzymes EthB, MdpJ and HcmAB, respectively their coding genes, can be used as specific markers to monitor natural degradation processes in in situ studies. On this basis, the presence of active microorganisms and additionally - derived from the confirmed single key enzymes - a potentially complete degradation can be concluded. In the long run, it might be possible to stimulate the natural microbiological activity, e.g. via bioaugmentation with degradation specialists. Furthermore, regarding the potential progress of remediation procedures, potentially limiting steps can be distinguished via respective markers and narrowed down as possible cause of deficient degradation activity. However, such function-based monitoring requires specific verification. Therefore, subsequent studies have to analyze, if there is a sequence diversity among these three key enzymes. Previous sequence comparisons hypothesize that up to 60% accordance in the protein sequence in homologues of MdpJ and HcmA they can still be assumed to possess the same enzymatic function. This diversity has to be considered in the development of specific probes. / Die Einführung bleifreien Benzins in den 1970er-Jahren und die hohe Emissionsbelastung von Ballungszentren durch den Straßenverkehr insbesondere seit den 1990er-Jahren erforderte den Einsatz alternativer Benzinadditive, um eine Verbesserung der Verbrennung zu erreichen. Die Nutzung sauerstoffhaltiger Kohlenwasserstoffe als Antiklopfmittel und als sogenannte Oxygenate bot sich an, da diese eine effizientere Verbrennung mit gleichzeitig niedrigeren gesundheits- und umweltschädigenden Emissionen fördern. Zu den Oxygenaten gehören die synthetischen Ether Methyl-tert-butylether (MTBE), Ethyl-tert-butylether (ETBE), tert-Amylmethylether (TAME) und tert-Amylethylether (TAEE). Eine herausragende Stellung nimmt MTBE ein. Innerhalb weniger Jahre wurde es zum hauptsächlich verwendeten Oxygenat weltweit. Seitdem führten jedoch über 100.000 Leckagen, zumeist in Tankstellennähe, innerhalb weniger Jahre zu ebenso zahlreichen Kontaminationen des Grundwassers mit Oxygenaten. Aufgrund der hohen Wasserlöslichkeit kommt es dabei zu einer besonders schnellen und großflächigen Ausbreitung der Ether. Derart belastetes Grundwasser weist schon bei geringsten Etherkonzentrationen einen als terpentinartig wahrgenommenen Geruch und Geschmack auf und kann daher nicht mehr als Trinkwasserzufuhr genutzt werden. Es bedarf einer Lösung dieses Problems. Die chemischen Parameter der Ether senken allerdings die Effizienz anderweitig erfolgreich genutzter technischer Sanierungsverfahren auf Basis von z. B. Adsorption oder Aerisierung. Auch gegenüber mikrobiellen Abbau erweisen sie sich als rekalzitrant. Die Suche nach oxygenatabbauenden Mikroorganismen führte zwar zur Anreicherung vieler Isolate, welche die Oxygenate cometabolisch partiell oder sogar komplett oxidieren, nur sehr wenige Kulturen sind aber zu autarkem Wachstum auf diesen Ethern fähig. Dazu gehören die Beta-Proteobacteria Methylibium petroleiphilum PM1 und der dieser Arbeit zugrunde liegende Aquincola tertiaricarbonis L108. Der Stamm L108 zeichnet sich durch ein vergleichsweise gutes Wachstum auf MTBE aus und ist als bisher einzig bekanntes Isolat in der Lage, auch ETBE, TAME und TAEE ähnlich schnell zu mineralisieren. Die vorliegende Arbeit handelt von dem scheinbar besonders gut an den Oxygenatabbau adaptierten Stoffwechsel des ursprünglich aus MTBE-kontaminiertem Grundwasser angereicherten Stammes L108. Durch verschiedene Deletionsstudien wurden Schlüsselenzyme des Abbaus und deren genetischer Hintergrund eindeutig identifiziert. Die Ergebnisse der genetischen, enzymatischen und physiologischen Studien des Wildtyps im Vergleich zu den erzeugten Deletionsstämmen tragen dazu bei, bisher nur postulierte Reaktionsschritte zu verifizieren. Schon seit den ersten Studien zum MTBE-Abbau wird anhand markanter Metabolite ein oxidativer Abbau via TBA, 2-Methyl-1,2-propandiol (MPD) und 2-Hydroxyisobuttersäure (2-HIBA) vermutet. Im Fall einer Hydroxylierung der Methoxygruppe von MTBE wird ein Hemiacetal als Reaktionsprodukt erzeugt, aus dem nachfolgend leicht der tertiäre Alkohol TBA entstehen kann. Durch den Vergleich des Wildtyps mit der Spontanmutante Stamm L10 konnte jetzt gezeigt werden, dass hierfür allein das Cytochrom-P450-Monooxygenasesystem EthABCD verantwortlich ist. Dieses katalysiert auch exklusiv die entsprechende Hydroxylierung von ETBE, TAME und TAEE. In Stamm L108 wird das Enzym konstitutiv exprimiert. TBA, das auch aus der Hydroxylierung von ETBE resultiert, wird, wie postuliert und in dieser Arbeit verifiziert, durch eine weitere Monooxygenase zu MPD abgebaut. Durch eine Tn5-Transposon-vermittelte Mutation konnte verifiziert werden, dass es sich bei diesem Enzym um die Rieske-nicht-Häm-Monooxygenase MdpJ handelt. MPD wird im weiteren Verlauf voraussichtlich durch zwei Dehydrogenierungen zur korrespondierenden, verzweigten Säure 2-HIBA gewandelt. Zum 2-HIBA-Abbau gibt es, basierend auf bekannten Enzymreaktionen, diverse Hypothesen. Anhand einer weiteren Tn5-Mutation konnte jetzt bestätigt werden, dass in den genannten beta-Proteobacteria die neuartige Mutase HcmAB wirksam ist, welche 2-HIBA abhängig von Cobalamin und Coenzym A (CoA) zu 3-Hydroxybuttersäure (3-HB) linearisiert. Sequenzvergleiche ergaben, dass Stamm L108 die Schlüsselenzyme des Etherabbaus, EthABCD, MdpJ und HcmAB, durch horizontalen Gentransfer erworben hat. Für TAME und TAEE wurde ein völlig neuer Abbauweg gefunden. In Stamm L108 wird der beim Abbau dieser Ether entstehende tert-Amylalkohol (TAA) wie TBA ebenfalls exklusiv durch MdpJ oxidiert. Durch die Tn5-Deletionsstudien und durch Analyse der Metabolite konnte allerdings keine Hydroxylierung nachgewiesen werden. TAA wird durch MdpJ vielmehr desaturiert. Somit entstehen im Abbauweg keine zu MPD und 2-HIBA analogen Diole und Säuren, sondern TAA wird zunächst durch MdpJ zu einem ungesättigten tertiären Alkohol, dem Hemiterpen 2-Methyl-3-buten-2-ol, abgebaut. Prenol (3-Methyl-2-buten-2-ol), Prenal (3-Methyl-2-buten-2-al) und 3-Methylcrotonsäure wurden als weitere Metabolite des TAA-Stoffwechsels detektiert. Somit spielt eine Isomerisierung einer tertiär verzweigten Säure durch HcmAB im TAA-Abbauweg offensichtlich keine Rolle. Entsprechend konnte gezeigt werden, dass Deletionsmutanten für hcmAB zwar nicht mehr auf TBA, aber immer noch auf TAA wachsen können, und das genauso schnell, wie der Wildtyp. Der tertiäre Alkohol 2-Methyl-3-buten-2-ol wird wahrscheinlich durch eine andere Isomerase zum primären Alkohol Prenol umgewandelt und dieser dann durch Dehydrogenasen zur Methylcrotonsäure oxidiert. Dies würde dem bereits in anderen Bakterien beobachteten Abbauweg des Monoterpens Linalool entsprechen. Die in Stamm L108 dafür verantwortlichen Enzyme wurden aber noch nicht identifiziert. Neben diesem grundsätzlichen Erkenntnisgewinn zum Abbau der xenobiotischen Etherverbindungen und der Evolution degradativer Mikroorganismen, können die hier bestätigten Schlüssel-enzyme EthABCD, MdpJ und HcmAB bzw. deren codierende Gene als spezifische Marker zum Monitoring natürlicher Abbauprozesse für in-situ-Untersuchungen genutzt werden. Auf dieser Basis kann auf die Anwesenheit aktiver Mikroorganismen und zudem noch - abgeleitet aus der Präsenz der einzelnen Schlüsselenzyme - auf einen potenziell kompletten Abbau geschlossen werden. Darauf aufbauend kann die natürliche mikrobiologische Aktivität durch nachfolgende biotechnologische Maßnahmen stimuliert werden, zum Beispiel durch eine Bioaugmentation mit Abbauspezialisten. Des weiteren können mögliche limitierende Schritte hinsichtlich des potenziellen Verlaufs der Sanierungsmaßnahme über Präsenztiter der betreffenden Marker gezielter verfolgt und als etwaige Ursachen defizitärer Abbauleistungen eingegrenzt werden. Voraussetzung für dieses funktionsbasierte Monitoring ist allerdings der spezifische Nachweis. Somit sollte in nachfolgenden Studien analysiert werden, ob es bei den drei Schlüsselenzymen eine Sequenzdiversität gibt. Die bisherigen Sequenzvergleiche lassen zumindest vermuten, dass bis etwa 60% Übereinstimmung der Proteinsequenzen bei Homologen von MdpJ und HcmA noch mit der gleichen Enzymfunktion zu rechnen ist. Diese Diversität sollte bei der Entwicklung von spezifischen Sonden berücksichtigt werden.

I started writing this thesis not only to obtain a doctoral degree, but also to compile in a particular way all the work that I have done during this time. The articles published during these years can only give a short overview of my research task. I decided to give my own perspective of the things I have learned and the results I have obtained. Some sections are directly the published articles, but some other are not and contain a significant amount of unpublished data. Even in some cases the published plots have been modified / altered to provide more insight or to maintain consistency. Historical perspectives often provide a deep understanding of the problems and have been briefly discussed in some chapters. This thesis contains theoretical and computer simulation studies to under-stand effects of spatial correlation on dynamics in several complex systems. Based on the different phenomena studied, the thesis has been divided into three major parts: I. Pair hydrophobicity, composition-dependent anomalies and structural trans-formations in aqueous binary mixtures II. Microscopic analysis of hydrophobic force law in a two dimensional (2D) water-like model system III. Diffusion of a tagged particle on a rugged energy landscape with spatial correlations The three parts have been further divided into ten chapters. In the following we provide part-wise and chapter-wise outline of the thesis. Part I consists of six chapters, where we focus on several important aqueous binary mixtures of amphiphilic molecules. To start with, Chapter 1 provides an introduction to non-ideality often encountered in aqueous binary mixtures. Here we briefly discuss the existing ideas of structural transformations associated with solvation of a foreign molecule in water, with particular emphasis on the classic “iceberg” model. Over the last decade, several investigations, especially neutron scattering and diffraction experiments, have questioned the validity of existing theories and have given rise to an alternate molecular picture involving micro aggregation of amphiphilic co-solvents in their aqueous binary mixtures. Such microheterogeneity was also supported by other experiments and simulations. In Chapter 2, we present our calculation of the separation dependence of potential of mean force (PMF) between two methane molecules in water-dimethyl sulfoxide (DMSO) mixture, using constrained molecular dynamics simulation. It helps us to understand the composition-dependence of pair hydrophobicity in this binary solvent. We find that pair hydrophobicity in the medium is surprisingly enhanced at DMSO mole fraction xDMSO ≈ 0.15, which explains several anomalous properties of this binary mixture – including the age-old mystery of DMSO being a protein stabilizer at lower concentration and protein destabilizer at higher concentration. Chapter 3 starts with discussion of non-monotonic composition dependence of several other properties in water-DMSO binary mixture, like diffusion coefficient, local composition fluctuation and fluctuations in total dipole moment of the system. All these properties exhibit weak to strong anomalies at low solute concentration. We attempt to provide a physical interpretation of such anomalies. Previous analyses often suggested occurrence of a “structural transformation” (or, microheterogeneity) in aqueous binary mixtures of amphiphilic molecules. We show that this structural transformation can be characterized and better understood under the purview of percolation theory. We define the self-aggregates of DMSO as clusters. Analysis of fractal dimension and cluster size distribution with reference to corresponding “universal” scaling exponents, combined with calculation of weight-averaged fraction of largest cluster and cluster size weight average, reveal a percolation transition of the clusters of DMSO in the anomalous concentration range. The percolation threshold appears at xDMSO ≈ 0.15. The molecular picture suggests that DMSO molecules form segregated islands or micro-aggregates at concentrations below the percolation threshold. Close to the critical concentration, DMSO molecules start forming a spanning cluster which gives rise to a bi-continuous phase (of water-rich region and DMSO-rich region) beyond the threshold of xDMSO ≈ 0.15. This percolation transition might be responsible for composition-dependent anomalies of the binary mixture in this low concentration regime. Similar phenomenon is observed for another amphiphilic molecule – ethanol, as discussed in Chapter 4. We again find composition dependent anomalies in several thermophysical properties, such as local composition fluctuation, radial distribution function of ethyl groups and self-diffusion co-efficient of ethanol. Earlier experiments often suggested distinct structural regimes in water-ethanol mixture at different concentrations. Using the statistical mechanical techniques introduced in the previous chapter, we show that ethanol clusters undergo a percolation transition in the anomalous concentration range. Despite the lack of a precise determination of the percolation threshold, estimate lies in the ethanol mole fraction range xEtOH ≈ 0.075 - 0.10. This difficulty is probably due to transient nature of the clusters (as will be discussed in Chapter 6) and finite size of the system. The scaling of ethanol cluster size distribution and the fractal behavior of ethanol clusters, however, conclusively demonstrate their “spanning” nature. To develop a unified understanding, we further study the composition-dependent anomalies and structural transformations in another amphiphilic molecule, tertiary butyl alcohol (TBA) in Chapter 5. Similar to the above-mentioned aqueous binary mixtures of DMSO and ethanol, we demonstrate here that the anomalies occur due to local structural changes involving self-aggregation of TBA molecules and percolation transition of TBA clusters at xTBA ≈ 0.05. At this percolation threshold, we observe a lambda-type divergence in the fluctuation of the size of the largest TBA cluster, reminiscent of a critical point. Interestingly, water molecules themselves exhibit a reverse percolation transition at higher TBA concentration ≈ 0.45, where large spanning water clusters now break-up into small clusters. This is accompanied by significant divergence of the fluctuations in the size of the largest water cluster. This second transition gives rise to another set of anomalies around. We conclude this part of the thesis with Chapter 6, where we introduce a novel method for understanding the stability of fluctuating clusters of DMSO, ethanol and TBA in their respective aqueous binary mixtures. We find that TBA clusters are the most stable, whereas ethanol clusters are the most transient among the three representative amphiphilic co-solvents. This correlates well with the amplitude of anomalies observed in these three binary mixtures. Part II deals with the topic of hydrophobic force law in water. In the introductory Chapter 7 of this part, we briefly discuss the concept of hydrophobicity which is believed to be of importance in understanding / explaining the initial processes involved in protein folding. We also discuss the experimental observations of Israelachvili (on the force between hydrophobic plates) and the empirical hydrophobic force law. We briefly touch upon the theoretical back-ground, including Lum-Chandler-Weeks theory. We conclude this chapter with a brief account of relevant and important in silico studies so far. In Chapter 8, we present our studies on Mercedes-Benz (MB) model – a two dimensional model system where circular disks interact with an anisotropic potential. This model was introduced by Ben-Naim and was later parametrized by Dill and co-workers to reproduce many of the anomalous properties of water. Using molecular dynamics simulation, we show that hydrophobic force law is indeed observed in MB model, with a correlation length of ξ=3.79. The simplicity of the model enables us to unravel the underlying physics that leads to this long range force between hydrophobic plates. In accordance with Lum-Chandler-Weeks theory, density fluctuation of MB particles (leading to cavitation) between the hydrophobic rods is clearly distinguishable – but it is not sufficiently long ranged, with density correlation extending only up to ζ=2.45. We find that relative orientation of MB molecules plays an important role in the origin of the hydrophobic force in long range. We define appropriate order parameters to capture the role of orientation, and briefly discuss a plausible approach of an orientation-dependent theory to explain this phenomenon. Part III consists of two chapters and focuses on the diffusion of a Brownian particle on a Gaussian random energy landscape. We articulate the rich history of the problem in the introductory Chapter 9. Despite broad applicability and historical importance of the problem, we have little knowledge about the effect of ruggedness on diffusion at a quantitative level. Every study seems to use the expression of Zwanzig [Proc. Natl. Acad. U.S.A, 85, 2029 (1988)] who derived the effective diffusion coefficient, Deff =D0 exp (-β2ε2 )for a Gaussian random surface with variance ε, but validity of the same has never been tested rigorously. In Chapter 10, we introduce two models of Gaussian random energy surface – a discrete lattice and a continuous field. Using computer simulation and theoretical analyses, we explore many different aspects of the diffusion process. We show that the elegant expression of Zwanzig can be reproduced ex-actly by Rosenfeld diffusion-entropy scaling relationship. Our simulations show that Zwanzig’s expression overestimates diffusion in the uncorrelated Gaussian random lattice – differing even by more than an order of magnitude at moderately high ruggedness (ε>3.0). The disparity originates from the presence of “three-site traps” (TST) on the landscape – which are formed by deep minima flanked by high barriers on either side. Using mean first passage time (MFPT) formalism, we derive an expression for the effective diffusion coefficient, Deff =D0 exp ( -β2ε2)[1 +erf (βε/2)]−1 in the presence of TSTs. This modified expression reproduces the simulation results accurately. Further, in presence of spatial correlation we derive a general expression, which reduces to Zwanzig’s form in the limit of infinite spatial correlation and to the above-mentioned equation in absence of correlation. The Gaussian random field has an inherent spatial correlation. Diffusion coefficient obtained from the Gaussian field – both by simulations and analytical methods – establish the effect of spatial correlation on random walk. We make special note of the fact that presence of TSTs at large ruggedness gives rise to an apparent breakdown of ergodicity of the type often encountered in glassy liquids. We characterize the same using non-Gaussian order parameter, and show that this “breakdown” scales with ruggedness following an asymptotic power law. We have discussed the scope of future work at the end of each chapter when-ever appropriate.

The switch to unleaded fuels in the 1970s and the high air pollution in areas of high population density due to traffic particularly since the 1990s required the use of alternative fuel additives to achieve an improvement of the combustion. The utilization of oxygenated hydrocarbons as antiknock additives and so-called oxygenates provided a more complete and efficient combustion with simultaneously less harmful and polluting emissions. These include the synthetic ethers methyl tert-butyl ether (MTBE), ethyl tert-butyl ether (ETBE), tert-amyl methyl ether (TAME) and tert-amyl ethyl ether (TAEE). MTBE has a particular position as within some years it became the dominant oxygenate worldwide. Since then, over 100.000 leakages, most often in close proximity to gas stations, resulted in just as many oxygenate-contaminated sites of soil and groundwater within few years. The high water solubility of these ethers leads to an especially fast and extensive spread of the contamination plumes. Ether-contaminated groundwater has a turpentine-like taste that is noticed already in really low concentrations. Thus, such water can no longer serve as drinking water and requires a counter-measure. The chemical parameters of oxygenates decrease the efficiency of otherwise successfully applied techniques such as adsorption or aeration. In addition the ethers proved recalcitrant against microbial attack. The search for microorganisms that could degrade these synthetic oxygenates indeed resulted in the enrichment of many isolates. The majority of these isolates oxidize the ethers in a cometabolic manner either partially or completely to CO2. However, only few cultures are capable of independent growth on these oxygenates. These include the beta-proteobacteria Methylibium petroleiphilum PM1 and Aquincola tertiaricarbonis L108, of which the latter is of particular interest for the present work. Strain L108 is characterized by good growth on MTBE and is presently the only known isolate which is able to mineralize ETBE, TAME and TAEE at similar rates. This work examined the seemingly particularly well adapted oxygenate ether metabolism of strain L108, that was formerly isolated from an aquifer highly contaminated with MTBE. Via diverse deletion studies key enzymes of the degradative metabolism and their genetic background were clearly identified. Hence, the results of this work contribute to verify so far just hypothesized metabolic steps by detailed enzymatic and genetic studies. Based on detected metabolites, first studies on MTBE biodegradation already postulated an oxidative pathway via TBA, 2-methyl-1,2-propane-diol (MPD) and 2-HIBA. In case of a monoxygenatic hydroxylation of the methoxy group of MTBE a hemiacetale results as reaction product, from which the tertiary alcohol TBA can be formed easily in subsequent reactions. By comparing wild type strain L108 with the spontaneous mutant strain L10, we were now able to clearly show that the cytochrome P-450 monoxygenase system EthABCD accounts solely for this MTBE-oxidizing activity. It is also the only enzyme catalyzing the corresponding hydroxylation of ETBE, TAME and TAEE. In strain L108 this enzyme complex is expressed constitutively. TBA, which is also generated from hydroxylation of ETBE, is, as postulated and verified by this study, degraded by a different monoxygenase resulting in MPD. Via Tn5-mediated mutations this enzyme was confirmed as Rieske non-heme mononuclear iron monooxygenase MdpJ. MPD is further altered to the corresponding branched acid 2-HIBA, presumably by two dehydrogenation reactions. For the degradation of 2-HIBA, diverse hypotheses exist on the basis of known enzymatic reactions. Another Tn5 mutation now gave evidence, that in the mentioned beta-proteobacteria the novel mutase HcmAB linearizes 2-HIBA to 3-hydroxybutyric acid (3-HB) dependent on cobalamin and coenzyme A (CoA). Sequence comparison revealed, that strain L108 acquired all three key enzyme complexes, EthABCD, MdpJ and HcmAB via horizontal gene transfer (HGT). For TAME and TAEE a completely new degradation pathway was found. In strain L108, the resulting degradation product tert-amyl alcohol (TAA) of these ethers is, like TBA, also specifically oxidized by MdpJ. In Tn5-deletion studies and metabolite analyzes, however, no hydroxylation could be detected. Instead, TAA is rather desaturated. Therefore within the metabolism no diols or acids analogue to MPD or 2-HIBA were formed. Instead, via MdpJ TAA is initially degraded to the unsaturated tertiary alcohol and hemiterpene 2-methyl-3-butene-2-ol. Prenol (3-methyl-2-buten-2-ol), prenal (3-methyl-2-buten-2-al) and 3-methyl crotonic acid were detected as additional metabolites. Hence, an isomerization of the branched acid by HcmAB is apparently irrelevant in TAA biodegradation. Accordingly it could be shown, that deletion mutants for HcmAB indeed could not grow on TBA, but are still able to grow on TAA, just as fast as the wild type, in fact. The tertiary alcohol 2-methyl-3-butene-2-ol is presumably transformed via another isomerase resulting in the primary alcohol prenol. Prenol is further oxidized by postulated dehydrogenases to 3-methyl crotonic acid. This would also be in correlation to the already observed degradation pathway of the monoterpene linalool in other bacteria. However, the responsible enzymes in strain L108 are not yet identified. Besides this principal gain of knowledge in the degradation of xenobiotic ether structures and the evolution of degradative microorganism, the now confirmed key enzymes EthB, MdpJ and HcmAB, respectively their coding genes, can be used as specific markers to monitor natural degradation processes in in situ studies. On this basis, the presence of active microorganisms and additionally - derived from the confirmed single key enzymes - a potentially complete degradation can be concluded. In the long run, it might be possible to stimulate the natural microbiological activity, e.g. via bioaugmentation with degradation specialists. Furthermore, regarding the potential progress of remediation procedures, potentially limiting steps can be distinguished via respective markers and narrowed down as possible cause of deficient degradation activity. However, such function-based monitoring requires specific verification. Therefore, subsequent studies have to analyze, if there is a sequence diversity among these three key enzymes. Previous sequence comparisons hypothesize that up to 60% accordance in the protein sequence in homologues of MdpJ and HcmA they can still be assumed to possess the same enzymatic function. This diversity has to be considered in the development of specific probes.:Bibliographische Darstellung Eidesstattliche Erklärung Danksagung Abstract Kurzfassung Abkürzungsverzeichnis 1. Einleitung 1.1. Tertiäre Ether als Benzin-Oxygenate - Hintergrund und Umweltproblematik 1.2. Mikrobiologischer Abbau tertiärer Ether 1.3. Postulierter Abbauweg 1.4. Monitoring-Tools für biologischen Abbau 1.5. Ziel dieser Arbeit 1.6. Referenzen der Einleitung 2. Die initiale Etherspaltung des Stammes L108 2.1. Die Ethermonooxygenase EthB 2.2. Supplemental Material 3. Die spezifische Alkoholmonooxygenase MdpJ 3.1. Die Alkoholmonooxygenase MdpJ als Hydroxylase und Reduktase 3.2. Supplemental Material 4. Die 2-HIBA-Mutase HcmAB des Stammes L108 4.1. Die 2-HIBA-Mutase HcmAB 4.2. Supplemental Material 5. Der TAA-Abbau des Stammes L108 5.1. Der TAA-Abbau des Stammes L108 5.2. Supplemental Material 6. Diskussion 6.1. Nachweis der Schlüsselenzyme in Stamm L108 durch Mutation 6.2. Nutzen für den Nachweis natürlichen Abbaus 6.3. Der TAA-Metabolismus als neuartiger Abbauweg 6.4. Mikrobiologische Anpassung an Xenobiotika am Beispiel MTBE 6.5. Ausblick 6.6. Referenzen der Diskussion Anhang Curriculum Vitae Publikationsverzeichnis Tagungsbeiträge Nachweis über Anteile der Co-Autoren / Die Einführung bleifreien Benzins in den 1970er-Jahren und die hohe Emissionsbelastung von Ballungszentren durch den Straßenverkehr insbesondere seit den 1990er-Jahren erforderte den Einsatz alternativer Benzinadditive, um eine Verbesserung der Verbrennung zu erreichen. Die Nutzung sauerstoffhaltiger Kohlenwasserstoffe als Antiklopfmittel und als sogenannte Oxygenate bot sich an, da diese eine effizientere Verbrennung mit gleichzeitig niedrigeren gesundheits- und umweltschädigenden Emissionen fördern. Zu den Oxygenaten gehören die synthetischen Ether Methyl-tert-butylether (MTBE), Ethyl-tert-butylether (ETBE), tert-Amylmethylether (TAME) und tert-Amylethylether (TAEE). Eine herausragende Stellung nimmt MTBE ein. Innerhalb weniger Jahre wurde es zum hauptsächlich verwendeten Oxygenat weltweit. Seitdem führten jedoch über 100.000 Leckagen, zumeist in Tankstellennähe, innerhalb weniger Jahre zu ebenso zahlreichen Kontaminationen des Grundwassers mit Oxygenaten. Aufgrund der hohen Wasserlöslichkeit kommt es dabei zu einer besonders schnellen und großflächigen Ausbreitung der Ether. Derart belastetes Grundwasser weist schon bei geringsten Etherkonzentrationen einen als terpentinartig wahrgenommenen Geruch und Geschmack auf und kann daher nicht mehr als Trinkwasserzufuhr genutzt werden. Es bedarf einer Lösung dieses Problems. Die chemischen Parameter der Ether senken allerdings die Effizienz anderweitig erfolgreich genutzter technischer Sanierungsverfahren auf Basis von z. B. Adsorption oder Aerisierung. Auch gegenüber mikrobiellen Abbau erweisen sie sich als rekalzitrant. Die Suche nach oxygenatabbauenden Mikroorganismen führte zwar zur Anreicherung vieler Isolate, welche die Oxygenate cometabolisch partiell oder sogar komplett oxidieren, nur sehr wenige Kulturen sind aber zu autarkem Wachstum auf diesen Ethern fähig. Dazu gehören die Beta-Proteobacteria Methylibium petroleiphilum PM1 und der dieser Arbeit zugrunde liegende Aquincola tertiaricarbonis L108. Der Stamm L108 zeichnet sich durch ein vergleichsweise gutes Wachstum auf MTBE aus und ist als bisher einzig bekanntes Isolat in der Lage, auch ETBE, TAME und TAEE ähnlich schnell zu mineralisieren. Die vorliegende Arbeit handelt von dem scheinbar besonders gut an den Oxygenatabbau adaptierten Stoffwechsel des ursprünglich aus MTBE-kontaminiertem Grundwasser angereicherten Stammes L108. Durch verschiedene Deletionsstudien wurden Schlüsselenzyme des Abbaus und deren genetischer Hintergrund eindeutig identifiziert. Die Ergebnisse der genetischen, enzymatischen und physiologischen Studien des Wildtyps im Vergleich zu den erzeugten Deletionsstämmen tragen dazu bei, bisher nur postulierte Reaktionsschritte zu verifizieren. Schon seit den ersten Studien zum MTBE-Abbau wird anhand markanter Metabolite ein oxidativer Abbau via TBA, 2-Methyl-1,2-propandiol (MPD) und 2-Hydroxyisobuttersäure (2-HIBA) vermutet. Im Fall einer Hydroxylierung der Methoxygruppe von MTBE wird ein Hemiacetal als Reaktionsprodukt erzeugt, aus dem nachfolgend leicht der tertiäre Alkohol TBA entstehen kann. Durch den Vergleich des Wildtyps mit der Spontanmutante Stamm L10 konnte jetzt gezeigt werden, dass hierfür allein das Cytochrom-P450-Monooxygenasesystem EthABCD verantwortlich ist. Dieses katalysiert auch exklusiv die entsprechende Hydroxylierung von ETBE, TAME und TAEE. In Stamm L108 wird das Enzym konstitutiv exprimiert. TBA, das auch aus der Hydroxylierung von ETBE resultiert, wird, wie postuliert und in dieser Arbeit verifiziert, durch eine weitere Monooxygenase zu MPD abgebaut. Durch eine Tn5-Transposon-vermittelte Mutation konnte verifiziert werden, dass es sich bei diesem Enzym um die Rieske-nicht-Häm-Monooxygenase MdpJ handelt. MPD wird im weiteren Verlauf voraussichtlich durch zwei Dehydrogenierungen zur korrespondierenden, verzweigten Säure 2-HIBA gewandelt. Zum 2-HIBA-Abbau gibt es, basierend auf bekannten Enzymreaktionen, diverse Hypothesen. Anhand einer weiteren Tn5-Mutation konnte jetzt bestätigt werden, dass in den genannten beta-Proteobacteria die neuartige Mutase HcmAB wirksam ist, welche 2-HIBA abhängig von Cobalamin und Coenzym A (CoA) zu 3-Hydroxybuttersäure (3-HB) linearisiert. Sequenzvergleiche ergaben, dass Stamm L108 die Schlüsselenzyme des Etherabbaus, EthABCD, MdpJ und HcmAB, durch horizontalen Gentransfer erworben hat. Für TAME und TAEE wurde ein völlig neuer Abbauweg gefunden. In Stamm L108 wird der beim Abbau dieser Ether entstehende tert-Amylalkohol (TAA) wie TBA ebenfalls exklusiv durch MdpJ oxidiert. Durch die Tn5-Deletionsstudien und durch Analyse der Metabolite konnte allerdings keine Hydroxylierung nachgewiesen werden. TAA wird durch MdpJ vielmehr desaturiert. Somit entstehen im Abbauweg keine zu MPD und 2-HIBA analogen Diole und Säuren, sondern TAA wird zunächst durch MdpJ zu einem ungesättigten tertiären Alkohol, dem Hemiterpen 2-Methyl-3-buten-2-ol, abgebaut. Prenol (3-Methyl-2-buten-2-ol), Prenal (3-Methyl-2-buten-2-al) und 3-Methylcrotonsäure wurden als weitere Metabolite des TAA-Stoffwechsels detektiert. Somit spielt eine Isomerisierung einer tertiär verzweigten Säure durch HcmAB im TAA-Abbauweg offensichtlich keine Rolle. Entsprechend konnte gezeigt werden, dass Deletionsmutanten für hcmAB zwar nicht mehr auf TBA, aber immer noch auf TAA wachsen können, und das genauso schnell, wie der Wildtyp. Der tertiäre Alkohol 2-Methyl-3-buten-2-ol wird wahrscheinlich durch eine andere Isomerase zum primären Alkohol Prenol umgewandelt und dieser dann durch Dehydrogenasen zur Methylcrotonsäure oxidiert. Dies würde dem bereits in anderen Bakterien beobachteten Abbauweg des Monoterpens Linalool entsprechen. Die in Stamm L108 dafür verantwortlichen Enzyme wurden aber noch nicht identifiziert. Neben diesem grundsätzlichen Erkenntnisgewinn zum Abbau der xenobiotischen Etherverbindungen und der Evolution degradativer Mikroorganismen, können die hier bestätigten Schlüssel-enzyme EthABCD, MdpJ und HcmAB bzw. deren codierende Gene als spezifische Marker zum Monitoring natürlicher Abbauprozesse für in-situ-Untersuchungen genutzt werden. Auf dieser Basis kann auf die Anwesenheit aktiver Mikroorganismen und zudem noch - abgeleitet aus der Präsenz der einzelnen Schlüsselenzyme - auf einen potenziell kompletten Abbau geschlossen werden. Darauf aufbauend kann die natürliche mikrobiologische Aktivität durch nachfolgende biotechnologische Maßnahmen stimuliert werden, zum Beispiel durch eine Bioaugmentation mit Abbauspezialisten. Des weiteren können mögliche limitierende Schritte hinsichtlich des potenziellen Verlaufs der Sanierungsmaßnahme über Präsenztiter der betreffenden Marker gezielter verfolgt und als etwaige Ursachen defizitärer Abbauleistungen eingegrenzt werden. Voraussetzung für dieses funktionsbasierte Monitoring ist allerdings der spezifische Nachweis. Somit sollte in nachfolgenden Studien analysiert werden, ob es bei den drei Schlüsselenzymen eine Sequenzdiversität gibt. Die bisherigen Sequenzvergleiche lassen zumindest vermuten, dass bis etwa 60% Übereinstimmung der Proteinsequenzen bei Homologen von MdpJ und HcmA noch mit der gleichen Enzymfunktion zu rechnen ist. Diese Diversität sollte bei der Entwicklung von spezifischen Sonden berücksichtigt werden.:Bibliographische Darstellung Eidesstattliche Erklärung Danksagung Abstract Kurzfassung Abkürzungsverzeichnis 1. Einleitung 1.1. Tertiäre Ether als Benzin-Oxygenate - Hintergrund und Umweltproblematik 1.2. Mikrobiologischer Abbau tertiärer Ether 1.3. Postulierter Abbauweg 1.4. Monitoring-Tools für biologischen Abbau 1.5. Ziel dieser Arbeit 1.6. Referenzen der Einleitung 2. Die initiale Etherspaltung des Stammes L108 2.1. Die Ethermonooxygenase EthB 2.2. Supplemental Material 3. Die spezifische Alkoholmonooxygenase MdpJ 3.1. Die Alkoholmonooxygenase MdpJ als Hydroxylase und Reduktase 3.2. Supplemental Material 4. Die 2-HIBA-Mutase HcmAB des Stammes L108 4.1. Die 2-HIBA-Mutase HcmAB 4.2. Supplemental Material 5. Der TAA-Abbau des Stammes L108 5.1. Der TAA-Abbau des Stammes L108 5.2. Supplemental Material 6. Diskussion 6.1. Nachweis der Schlüsselenzyme in Stamm L108 durch Mutation 6.2. Nutzen für den Nachweis natürlichen Abbaus 6.3. Der TAA-Metabolismus als neuartiger Abbauweg 6.4. Mikrobiologische Anpassung an Xenobiotika am Beispiel MTBE 6.5. Ausblick 6.6. Referenzen der Diskussion Anhang Curriculum Vitae Publikationsverzeichnis Tagungsbeiträge Nachweis über Anteile der Co-Autoren