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The crude oil constituents benzene, toluene, ethylbenzene, and the three xylene isomers (BTEX) are the dominating groundwater contaminants originating from surface spill accidents by oil production facilities and with gasoline and jet fuel. Thereby BTEX posing a threat to the world´s scarce drinking water resources due to their water solubility and toxicity. An active remediation cleanup involving a BTEX event proves not only to be very expensive but almost impossible when it comes to the complete removal of contaminants from the subsurface. A favoured and common practice is combining an active remediation process focussing on the source of contamination coupled together with the monitoring of the residual contamination in the subsurface (monitored natural attenuation; MNA). MNA include all naturally occuring biological, chemical and physical processes in the subsurface. The general goal of this work was to improve the knowledge of biodegradation of aromatic hydrocarbons under anaerobic conditions in groundwater. For this groundwater and soil at the former military underground storage tank (UST) site Schäferhof – Süd near Nienburg/Weser (Niedersachsen, Germany) were sampled and analysed. The investigations were done in collaboration of the Umweltbundesamt, the universitys of Frankfurt and Bremen and the alphacon GmbH Ganderkesee. To investigate the extent of groundwater contamination, the terminal electron acceptor processes (TEAPs) and the metabolites of BTEX degradation in groundwater, six observation wells were sampled at regular intervals between January 2002 and September 2004. The wells were positioned in order to cover the upstream, the source area and the downstream of the presumed contamination source. Additionally, vertical sediment profiles were sampled and investigated with respect to spreading and concentration of BTEX in the subsurface. A large residual contamination involving BTEX is present in soil and groundwater at the studied locality. Maximum BTEX concentration values of 17 mg/kg were recorded in analysing sediment in the unsaturated zone. In the capillary fringe, values of 450 mg/kg were recorded (October 2004) and in the saturated zone maximum values of 6.7 mg/kg BTEX were detected. The groundwater samples indicate increasing BTEX concentrations in the groundwater flow direction (from 532 µg/l up to 3300 µg/l (mean values)). Biodegradation of aromatic hydrocarbons under anaerobic conditions in the sub surface at contaminated sites is characterised by generation of metabolites. From the monoaromatic hydrocarbons BTEX metabolites such as benzoic acid (BA) and the methylated homologs and C1-and C2-benzyl-succinic acids (BSA) are generated as intermediates. A solid-phase extraction method based on octadecyl-bonded silica sorbent has been developed to concentrate such metabolite compounds from water samples followed by derivatization and gas chromatography/mass spectrometry (GC/MS) of the extracts. The recovery rate range between 75 and 97%. The method detection limit was 0.8 µg/l. Organic acids were identified as metabolic by-products of biodegradation. Benzoic acid, C1-, C2- and C3-benzoic acid were determined in all contaminated wells with considerable concentrations. Furthermore, the depletion of the dominant terminal electron acceptors (TEAs) oxygen, nitrate, and sulphate and the production of dissolved ferrous iron and methane in groundwater indicate biological mediated processes in the plume evidently proving the occurrence of NA. A large overlap of different redox zones at the studied part of the plume has been observed. A important finding in this study is the strong influence of groundwater level fluctuations on the BTEX concentration in groundwater. A very dry summer in 2003 was recorded during the monitoring period, resulting on site in a drop of the groundwater level to 1.7 m and a concomitant increase of BTEX concentrations from 240 µg/l to 1300 µg/l. The groundwater level fluctuations, natural degradation and retention processes essentially influence BTEX concentrations in the groundwater. Groundwater level fluctuations have by far a stronger influence than the influence of biological degradation. Increasing BTEX concentrations are hence not a consequence of limited biological degradation. Another part of the study was to observe the isotopic fractionation of the electron acceptor Fe(III), due to biologically mediated reduction of Fe(III) to the watersoluble Fe(II) at the site and first field data are presented. Both groundwater and sediment samples were analysed with respect to their Fe isotopic compositions using high mass resolution Multi Collector-Inductively Coupled Plasma-Mass Spectrometry (MC-ICP-MS). The delta56Fe -values of groundwater samples taken from observation wells located downstream of the source area were isotopically lighter than delta56Fe -values obtained from groundwater in the uncontaminated well. The Fe isotopic composition of most parts of the sediment profile was similar to the Fe isotopic composition of uncontaminated groundwater. Thus, a significant iron isotope fractionation can be observed between sediment and groundwater downstream of the BTEX contamination.
Die vorliegende Arbeit beschäftigt sich mit der geochemischen und isotopischen Analyse detritischer Zirkonminerale aus rezenten Sedimenten des weit verzweigten Orange- und Vaal River Flusssystems in Südafrika. Zirkone kristallisieren überwiegend aus krustalen Schmelzen und sind äußerst resistent gegenüber jeglicher Zerstörung und damit ein idealer Kandidat zur Rekonstruktion früherer Krustenbildungsprozesse der geologischen Erdgeschichte. Der kombinierte Ansatz der U-Pb Altersdatierung, der Hf Isotopie und der Spurenelementgeochemie mittels Laserablation und des Einsatzes induktiv-gekoppelter Sektorfeld- und Multikollektormassenspektrometer ermöglicht es die krustale Wachstums- und Entwicklungsgeschichte des südafrikanischen Kratons zu erfassen. Die mehr als 1200 U-Pb Analysen der Zirkone weisen 4 tektonische Hauptphasen des südafrikanischen Kontinents nach: 1. die Panafrikanische Orogenese (0.5-0.7 Ga), 2. das Namaqua-Natal Faltengürtelorogen (1.0-1.3 Ga), 3. die Kheis Orogenese (1.8-2.0 Ga) und 4. die westliche Kaapvaal-Kratonisierung (2.9-3.2 Ga). Allerdings zeigt sich, dass die 13 Probenlokationen überwiegend lokale bzw. regionale U-Pb Altersdaten ihrer umgebenden Herkunftsgebiete liefern. Die Hf Isotopie der Zirkone der verschiedenen tektonischen Hauptphasen Südafrikas stellen ihre differenzierte Akkretions- und Aufschmelzungsgeschichte dar. Die panafrikanischen Zirkone zeigen eine ausgeprägte Durchmischung von juvenilem und recyceltem Material. Die mesoproterozoischen (Namaquan) Zirkone entstanden aus juvenilem Magma während eines Inselbogen-Kontinent-Kollisionsereignisses. Die paläoproterozoischen und archaischen Zirkone sind Produkte von aufgeschmolzener prä-existierender kontinentaler Kruste oder vom Mantel abstammende Schmelzen, die durch kontinentale Kruste kontaminiert wurden. Die berechneten Hf Modellalter, so genannte „Mantelextraktionsalter" ergeben zwei Maxima, die zwei Stadien juvenilem Krustenwachstums einschließen, einmal vor 1.4 und 3.2 Ga. Dieses krustale Wachstum zeigt eine Übereinstimmung mit den progressiv episodischen Modellen von Nagler & Kramers (1998) sowie Condie (2000) mit Höhepunkten zwischen 3.0 und 2.0 Ga sowie den Studien von Wang et al. (2008) mit krustalen Wachstumsperioden von 1.6 bis 2.2 und 2.9 bis 3.4 Ga auf dem Nordamerikanischen Kontinent und auf dem Gondwana-Kontinent (Australien) von Hawkesworth & Kemp 2006) und implizieren wohl ein globales kontinentales Krustenwachstum. Die Abgrenzung und Wiedererkennung der Zirkone anhand der chemischen Zusammensetzung zu möglichen Muttergesteinen zeigen noch keine viel versprechenden Ergebnisse. Generell weisen die Zirkone eine magmatische granitoide Zusammensetzung kontinentalen Ursprungs auf. Eine Auffälligkeit stellen die erhöhten Spuren- und leichten Seltenenerdelemente in Zirkonen jeglicher Altersklassen dar. Nachfolgende Arbeiten müssen zeigen, wie und ob diese Anreicherungen Einfluss auf die chemische Zusammensetzung, die U-Pb Datierung und vor allem die Hf-Isotopie der Zirkone haben.
This thesis deals with the analysis of “presolar” silicates and oxides by high resolution mass spectrometry and electron microscopy techniques. This “stardust” was identified by its extreme oxygen isotopic anomalies, which point to nucleosynthetic reactions in stellar interiors, in the carbonaceous chondrite Acfer 094. Isotopic, chemical and mineralogical studies on these stardust grains therefore allow the testing of astrophysical questions on Earth, which are otherwise only accessible by spectroscopy and theoretical models. The class of presolar silicates has been identified only six years ago in 2002, although it was known already from spectroscopic observations that silicates represent the most abundant type of dust in the galaxy. The development of the “NanoSIMS” was a crucial step in this respect, because this ion probe with its superior spatial resolution of only 50 nm allowed the detection of the typically 300 nm sized presolar silicates. A total of 142 presolar silicates and 20 presolar oxides were identified within Acfer 094, whose matrix therefore contains 163 ± 14 ppm presolar silicates and 26 ± 6 ppm presolar oxides. This is among the highest amounts reported so far for any primitive solar system material. The majority of detected stardust grains derive from asymptotic giant branch stars of 1 – 2.5 Msun and close-to-solar or slightly lower-than-solar metallicity. However, by measuring the Si isotopic compositions of some enigmatic grains, it could be shown that there is a sub-class of presolar silicates characterized by an extreme enrichment of 17O and a moderate enhancement of 30Si relative to solar, whose origins might be explained by formation in binary stellar systems. About 10% of all grains exhibit an enrichment in 18O and some of them also of 28Si relative to solar, which most likely point to an origin in type II supernova explosions. The Si isotopic measurements also allowed to quantify the effect of the s-process on the Si isotopes in low-mass asymptotic giant branch stars. The results agree well with theoretical predictions. The grains were furthermore characterized by SEM and the chemistries of about half of the grains were determined by Auger electron spectroscopy. The majority of grain morphologies are consistent with what is expected from condensation experiments. However, a lot of grains are altered by Fe-rich minerals, which are either of primary condensation or of secondary ISM or solar nebula origin. Furthermore, complex presolar grains consisting of refractory Al-rich grains attached to silicate material could be identified, which have been predicted by condensation theory and observational evidence. Nine presolar silicates were analyzed by combined NanoSIMS/TEM studies. The majority of grains are Mg-rich and amorphous, which is in contrast to astrophysical evidence, which mainly postulate crystalline Mg-rich and amorphous Fe-rich circumstellar condensates. However, the grains might have been rendered amorphous by secondary processes in the ISM or could have condensed under non-equilibrium, low-temperature conditions in the circumstellar outflow. The grains are more likely characterized by a variable, pyroxene-like chemistry, which could be a result of sputtering in the ISM, which preferentially removes Mg. The detected crystalline presolar silicates in this study and in other work are all olivines, whereas grains with a pyroxene stoichiometry are all amorphous except one. This supports astrophysical models which point to different formation pathways for these two types of grains and therefore different crystallinity. However, the relatively high Fe content of three detected presolar olivines in this study and in other work is in contrast to astrophysical evidence and theoretical considerations, which predict essentially Fe-free crystalline grains. It is therefore possible that the infrared spectra might also be compatible with less Mg-rich olivines. The only crystalline presolar silicate with a pyroxene-like stoichiometry is the unusual grain 1_07: although it is chemically enstatite, the electron diffraction pattern could only be indexed to silicate perovskite, which is stable above ~23 GPa. The discovery of a high-pressure phase of presolar origin shows that dust grains encountering interstellar shocks might not necessarily be completely destroyed. In astrophysical models it is in principle also possible that a fraction of larger grains might survive such a shock wave encounter as a high-pressure modification, which is supported by this discovery.
The present study was elaborated within the scope of the INTAFERE (Integrated Analysis of Mobile Organic Foreign Substances in Rivers) project which investigates the occurrence of xenobiotics in small freshwater streams with particular consideration of social impact factors. The aim of this study is to investigate the seasonal and spatial variance of organic micropollutants in small fresh water streams and to identify possible sources and sinks. Therefore four small freshwater river systems in Hesse, Germany, have been investigated with respect to common organic pollutants such as: the organophosphates tri-n-butyl phosphate (TBP), tris(2-butoxyethyl)phosphate (TBEP), tris(2-chloroethyl)phosphate (TCEP), tris(1-chloro-2-propyl)phosphate (TCPP), and tris(1,3-dichloro-2-propyl)phosphate (TDCPP), the synthetic musk fragrances 1,3,4,6,7,8-hexahydro-4,6,6,7,8,8-hexa-methylcyclopenta-[g]-2-benzopyran (HHCB) and 7-acetyl-1,1,3,4,4,6-hexamethyl-1,2,3,4-tetrahydronaphthalene (AHTN), the endocrine disruptors bisphenol A (BPA), 4-tert-octylphenol (OP) and the technical isomer mixture of 4-nonylphenol (NP), the herbicide terbutryn [2-(t-butylamino)-4-(ethylamino)-6-(methylthio)-s-triazine] as well as the insect repellent N,N-diethyl-m-toluamide (DEET). Water samples were collected in the time span from September 2003 to September 2006 at 26 sampling locations. The samples were extracted with solid phase extraction (SPE) and analyzed by coupled gas chromatography-mass spectrometry (GC-MS). For quantification the internal standard method was used. The results of the study showed an ubiquitous occurrence of organic pollutants in the fresh water streams of the study area. The organophosphates have been detected in 90 % of the water samples with mean concentrations of 502 ng/l (TCPP), 276 ng/l (TBP), 183 ng/l (TBEP), 118 ng/l (TCEP) and 117 ng/l (TDCPP). Sewage treatment plant (STP) effluents were identified as the dominating source for the chlorinated organophosphates as well as for the synthetic musk fragrances and the insect repellent DEET in the river systems. Consequently the highest concentrations were observed in the Schwarzbach system characterized by the highest proportion of waste water compared to the other river systems. Mean concentration levels of the synthetic musk fragrances HHCB and ATHN were 141 ng/l and 46 ng/l, respectively and 124 ng/l in case of DEET. The synthetic musk fragrances showed a clear seasonal trend with significantly lower concentrations in summer times compared to winter times, which is ascribed to stronger photodegradation and volatization during summer times. In contrast, mean DEET concentrations and loads were significantly higher in summer than in autumn, winter and spring, in parallel with the main insect season. The concentrations of the endocrine disruptors BPA, NP and OP in the river water samples ranged from <20 ng/l to 1927 ng/l, <10 ng/l to 770 ng/l, and <10 ng/l to 420 ng/l, respectively. Whereas OP was present in about 2/3 of the samples, NP and BPA could only be detected in 56% and 13% of the water samples, respectively. BPA levels exceeded in two samples the predicted no-effect concentration (PNEC) for water organisms. In case of NP, highest concentrations and loads were found in September 2003 and decreased significantly since then. In contrast, concentrations and loads of OP which serves in a similar application field remained nearly constant during the sampling period. The decrease of NP can be attributed to the implementation of the European Directive 2003/53/EG, which restricts the use of nonylphenols and nonylphenol ethoxylates since January 2005. However, at the end of the sampling period in September 2006, NP could still be detected at mean concentrations of 18 ng/l in the river waters of the sampling area. Furthermore, absence of NP in several samples from associated STP effluents indicate that the STPs cannot be the only sources for NP found in the river water. The herbicide terbutryn was present in the rivers during the whole sampling period from September 2003 to September 2006 despite a ban on its use as a herbicide from January 2004 on. Terbutryn levels ranged from < 4 ng/l to 5600 ng/l, showing a clear spatial pattern with high terbutryn concentrations in the Weschnitz and Modau river systems and significantly lower terbutryn levels in Schwarzbach and Winkelbach. Results from the analysis of two STP effluents discharging into the Weschnitz and the Modau, respectively, indicate that terbutryn enters the rivers from this source. Furthermore, terbutryn concentrations and loads showed a clear seasonal trend with significantly higher levels in summer and autumn. Obviously, the ban on agricultural use of terbutryn at the end of 2003 had no discernable influence on terbutryn concentration in the rivers because there was no trend of decreasing.
The development of benthic foraminiferal assemblages during the past 6,000 yrs was investigated in Holocene sediment cores from three carbonate platforms (Turneffe Islands, Lighthouse Reef, and Glovers Reef) of Belize, Central America. Foraminiferal assemblages and their diversity were determined in different time periods to identify their dependence on environmental factors, such as lagoonal age, lagoonal depth, water circulation, substrate, bottom-water temperature, and salinity. Geochemical proxies (δ18O and δ13C), obtained from the common larger foraminifer Archaias angulatus were used to estimate Holocene seasonal BW-temperatures and climate variabilities. A total of 51 samples were taken from 12 vibracores for taxonomic determination and 10 to 15 subsamples of 32 tests of Archaias angulatus were used for stable oxygen and carbon isotope analyses. Based on cluster analyses, seven benthic foraminiferal assemblages are distinguished during the Holocene. The three platforms exhibit characteristic differences in benthic foraminiferal fauna and diversity, which are controlled by their respective environments during the last 6,000 yrs. Turneffe Islands has four benthic foraminiferal assemblages, which are typical for restricted lagoons with fluctuating salinity. Lighthouse Reef is inhabited by two benthic foraminifera associations, which are characteristic of high water exchange with the surrounding ocean and clear waters. Glovers Reef is characterized by two benthic foraminiferal assemblages, which occur in deeper lagoons with slow water circulation. In general, during the Holocene, the highest mean diversity, evenness, and richness of benthic foraminifera were found in the Turneffe Islands and the lowest occurred at Glovers Reef. The foraminiferal faunas of the Lighthouse and Glovers Reefs had been in a “Diversification Stage” since 6,000 yrs, whereas the foraminiferal fauna of the Turneffe Islands reflects the development from a “Colonisation” (~4,000 yrs BP) to a “Diversification Stage” (~2,000 yrs to present time). Lagoonal depth, water circulation, substrate, and BW-temperature have higher influence on foraminiferal diversity as compared to lagoonal size and age. The negative correlation between diversity and lagoonal depth is based on differences in light intensity and substrate. In contrast to Lighthouse Reef, the Turneffe Islands and Glovers Reef show decreasing diversity of benthic foraminifera with increasing lagoon depth, due to finer sediment, turbid waters and/or dense mangrove growth, which reduce the light intensity and the number of species. Water Circulation also affected the benthic foraminifera modes of living and their diversity during the last 6,000 yrs. Increasing abundances of infaunal taxa refer to restricted circulation and/or lower oxygen conditions, as assumed for the Turneffe Islands and Glovers Reef. Increasing abundances of epifaunal foraminifera, as observed in the Lighthouse Reef indicate better circulation and/or higher oxygen conditions. Holocene BW-temperature reconstructions based on δ18O of single Archaias angulatus tests do not correspond to typical Holocene climate models of the Caribbean. In the Belize area, mean BW-temperature trends indicate local climate variations. A decrease of δ13C values during the last 1,000 yrs could be related to the “Suess Effect”. The seasonal BW-temperature variations within single large benthic foraminifera tests correspond to present-day temperature fluctuations in the lagoons, and indicate higher temperatures in Summer and Autumn and lower temperatures in Winter and Spring.
The purpose of this study was to reconstruct the depositional environment, the genesis and the composition of Miocene coals in the Kutai Basin, East Kalimantan, Indonesia and to improve our understanding of the factors controlling the organic and inorganic composition, variation of biomarkers, and the peat forming vegetation of the coals. To achieve the aim methods belonging to three different disciplines were applied: 1. Coal petrology (chapter 3) 2. Inorganic geochemistry: sulfur, pyrite and mineral matter distributions (chapter 4) 3. Organic geochemistry of saturated, aromatic hydrocarbon fractions and stable carbon isotopic composition (chapter 5 and 6) Coal petrology Coal developes from peat deposited in mires, mainly in swamps and raised bogs. It is therefore necessary to consider how peat was formed in the past. Coal contains a variety of plant tissues in different degrees of preservation. Tissues of distinct origin are microscopically identifiable and can frequently be related to certain parts of the plant, such as cuticles, woody structures, spores, algal, resin, etc. Together with the particles of less certain origin they are termed macerals which are the petrographic components of coal. During and after deposition of plant remains in sedimentary basins, the organic matter will undergo a sequence of physical, biochemical and chemical changes, which finally results in the formation of coals of increasing rank depending mainly on the temperature influence. The process of coalification begins with practically unaltered plant material and peat, and continues with increasing rank through brown coal, bituminous coal, and finally to anthracite as well as graphite. Coal petrography provides valuable of data of maceral and mineral percentages with reflectance values, which can be used to reconstruct the depositional environment and the coalification processes. In lower rank coals, the material is represented by a group of macerals called huminite, and in bituminous and anthracite coals by a group of macerals called vitrinite. Coal petrography analyses have been carried out on samples from some Miocene coal seams from Kutai Basin. The study has shown that huminite reflectance values of coal samples from ...
In vorliegender Studie wurde lebend und tot gesammeltes Schalenmaterial der Europäischen Flussperlmuschel Margaritifera margaritifera verschiedener Lokalitäten in Schweden, Finnland und Deutschland (bzw. Frankreich) sklerochronologisch und isotopengeochemisch untersucht. Sauerstoffisotopen-Zeitreihen, trendbereinigte und standardisierte stabile Kohlenstoffisotopen-Zeitreihen (SSCI) sowie jährliche Zuwachsraten (SGI-Zeitreihen) jeder der acht Populationen sind zu Compound-Chronologien zusammengefasst und auf Zusammenhänge mit Temperatur, Sonnenflecken-Zyklen und Niederschlag untersucht sowie auf Korrelationen mit verschiedenen Klimaindizes (z.B. dem Dipol der Meeres-Oberflächenwasser Temperatur-Anomalien im Nordatlantik, NADP-SST, und der Nordatlantischen Oszillation, NAO) getestet worden. Im Vergleich ergaben sich für die geglätteten Zeitreihen (25-Jahresfilter) Korrelationskoeffizienten von r = 0,57 (SGI Master-Chronologie und NAO) bzw. r = 0,59 (Master-Chronologie) und NADP-SST. Obwohl weder Isotopendaten noch Zuwachschronologien der Muscheln auf hochfrequenten Signalen hohe Korrelationen mit instrumentellen Messdaten aufweisen, sind dekadische Klimaoszillationen deutlich repräsentiert. Mit zunehmendem Lebensalter nimmt der Schalenzuwachs exponentiell ab. Gleichzeitig nähern sich die d13C-Werte der Schale dem d13CDIC-Wert des Wassers, der bei den hier untersuchten Lokalitäten zwischen -9,3 ‰ und -12,7 ‰ lag. Erst im hohen Lebensalter findet also die Schalenbildung nahezu im kohlenstoffisotopischen Gleichgewicht mit dem umgebenden Medium statt. In der Jugend der Tiere hingegen wirken sich lokalitätsspezifische Trends aus. Extrinsische Faktoren führen zu drei Mustern: 1) Trends hin zu stärker negativen d13C-Werten (um etwa -4,5 ‰) in den Bächen Nuortejaurbäcken (NJB) und Grundträsktjärnbäcken (GTB), 2) Trends hin zu weniger stark negativen d13C-Werten (um etwa +4,5 ‰) in den großen Flüssen (GJ: Görjeån, NWS: Tarn/Frankreich) und 3) Schwankungen um etwa ±1,5 ‰ um einen Mittelwert (RG: Regnitz). Der Einfluss auf die d13C-Trends könnte möglicherweise in Veränderungen der Bioproduktivität begründet sein, da sich diese unmittelbar auf den DIC-Pool des umgebenden Milieus und des Habitats auswirkt. In den Sauerstoffisotopen spiegelte sich die geographische Herkunft des untersuchten Materials wider. Die Chronologien der am nördlichsten gelegenen Populationen wiesen d18OMittelwerte von -11,5 ‰ (GJ), bzw. -9,5 ‰ (NJB, GTB) auf, die RG-Chronologie von -7,9 ‰ und die Zeitreihe der NWS von -5,3 ‰. Im Gegensatz zu anderen Arbeiten zeigten die untersuchten Individuen jedoch keinen statistischen Zusammenhang mit annuellen Temperaturdaten. Als beeinflussende Faktoren kommen die Schneeschmelze und die isotopengeochemische Ausprägung des Habitats (See, Fluss, Bach) in Frage. Eine sehr hohe Korrelation von r = -0,74 (25-Jahresfilter) wurde zwischen der Görjeån-Chronologie (d18OAragonit) und Niederschlagsraten für das in der Nähe des Flusses gelegene Jokkmokk festgestellt.
A graph theoretical approach to the analysis, comparison, and enumeration of crystal structures
(2008)
As an alternative approach to lattices and space groups, this work explores graph theory as a means to model crystal structures. The approach uses quotient graphs and nets - the graph theoretical equivalent of cells and lattices - to represent crystal structures. After a short review of related work, new classes of cycles in nets are introduced and their ability to distinguish between non-isomorphic nets and their computational complexity are evaluated. Then, two methods to estimate a structure’s density from the corresponding net are proposed. The first uses coordination sequences to estimate the number of nodes in a sphere, whereas the second method determines the maximal volume of a unit cell. Based on the quotient graph only, methods are proposed to determine whether nets consist of islands, chains, planes, or penetrating, disconnected sub-nets. An algorithm for the enumeration of crystal structures is revised and extended to a search for structures possessing certain properties. Particular attention is given to the exclusion of redundant nets and those, which, by the nature of their connectivity, cannot correspond to a crystal structure. Nets with four four-coordinated nodes, corresponding to sp3 hybridised carbon polymorphs with four atoms per unit cell, are completely enumerated in order to demonstrate the approach. In order to render quotient graphs and nets independent from crystal structures, they are reintroduced in a purely graph-theoretical way. Based on this, the issue of iso- and automorphism of nets is reexamined. It is shown that the topology of a net (that is the bonds in a crystal) constrains severely the symmetry of the embedding (that is the crystal), and in the case of connected nets the space group except for the setting. Several examples are studied and conclusions on phases are drawn (pseudo-cubic FeS2 versus pyrite; α- versus β- quartz; marcasite- versus rutile-like phases). As the automorphisms of certain quotient graphs stipulate a translational symmetry higher than an arbitrary embedding of the corresponding net would show, they are examined in more detail and a method to reduce the size of such quotient graphs is proposed. Besides two instructional examples with 2-dimensional graphs, the halite, calcite, magnesite, barytocalcite, and a strontium feldspar structures are discussed. For some of the structures it is shown that the quotient graph which is equivalent to a centred cell is reduced to a quotient graph equivalent to the primitive cell. For the partially disordered strontium feldspar, it is shown that even if it could be annealed to an ordered structure, the unit cell would likely remain unchanged. For the calcite and barytocalcite structures it is shown that the equivalent nets are not isomorphic.
High field strength element systematics and Lu-Hf & Sm-Nd garnet geochronology of orogenic eclogites
(2008)
Concerning the Bulk Silicate Earth (BSE), the depleted mantle and the continental crust are thought to balance the budget of refractory and lithophile elements, resulting in complementary trace element patterns. However, the two high field strength elements (HFSE) Niob and Tantal appear to contradict this mass balance. All reservoirs of the silicate Earth exhibit subchondritic Nb/Ta ratios, possibly as a result of Nb depletion. The two HFSE Zr and Hf on the other hand seem not to be fractionated between the silicate reservoirs. They show more or less chondritic Zr/Hf ratios. In this study a series of orogenic eclogites from different localities was analyzed to determine their HFSE concentrations and to contribute to the question if eclogites could form a hidden reservoir to account for the mass imbalance of the BSE. The results show that the orogenic eclogites have subchondritic Nb/Ta ratios and near chondritic Zr/Hf ratios. The investigated eclogites show no fractionation of Nb/Ta ratios and no enrichment of Nb compared to e.g. MOR-basalts, the likely precursor of these rocks. With an average Nb/Ta ratio of 14.9 these eclogites could not balance the differences between BSE and chondrite. Additionally, with an average Nb/Ta ≈ MORB they also cannot balance the small differences in the Nb/Ta of the crust and the mantle. LA-ICPMS analyses of rutiles in these eclogites reveal a zonation of Nb/Ta ratios in this mineral, with rutile cores having higher Nb/Ta than rutile rims. As a consequence, Laser Ablation data of rutiles have to be evaluated carefully and cannot necessarily reflect a bulk rock Nb and Ta composition, although over 90% of these elements reside in rutile.