Characterization of Heparin-induced Glyceraldehyde-3-phosphate Dehydrogenase Early Amyloid-like Oligomers and Their Implication in alpha-Synuclein Aggregation

Lewy bodies and Lewy neurites, neuropathological hallmarks of several neurological diseases, are mainly made of filamentous assemblies of alpha-synuclein. However, other macromolecules including Tau, ubiquitin, glyceraldehyde-3-phosphate dehydrogenase, and glycosaminoglycans are routinely found associated with these amyloid deposits. Glyceraldehyde-3-phosphate dehydrogenase is a glycolytic enzyme that can form fibrillar aggregates in the presence of acidic membranes, but its role in Parkinson disease is still unknown. In this work, the ability of heparin to trigger the amyloid aggregation of this protein at physiological conditions of pH and temperature is demonstrated by infrared and fluorescence spectroscopy, dynamic light scattering, small angle x-ray scattering, circular dichroism, and fluorescence microscopy. Aggregation proceeds through the formation of short rod-like oligomers, which elongates in one dimension. Heparan sulfate was also capable of inducing glyceraldehyde-3-phosphate dehydrogenase aggregation, but chondroitin sulfates A, B, and C together with dextran sulfate had a negligible effect. Aided with molecular docking simulations, a putative binding site on the protein is proposed providing a rational explanation for the structural specificity of heparin and heparan sulfate. Finally, it is demonstrated that in vitro the early oligomers present in the glyceraldehyde-3-phosphate dehydrogenase fibrillation pathway promote alpha-synuclein aggregation. Taking into account the toxicity of alpha-synuclein prefibrillar species, the heparin-induced glyceraldehyde-3-phosphate dehydrogenase early oligomers might come in useful as a novel therapeutic strategy in Parkinson disease and other synucleinopathies.

Purification and characterization of a surfactin-like molecule produced by Bacillus sp. H2O-1 and its antagonistic effect against sulfate reducing bacteria

Abstract Background Bacillus sp. H2O-1, isolated from the connate water of a Brazilian reservoir, produces an antimicrobial substance (denoted as AMS H2O-1) that is active against sulfate reducing bacteria, which are the major bacterial group responsible for biogenic souring and biocorrosion in petroleum reservoirs. Thus, the use of AMS H2O-1 for sulfate reducing bacteria control in the petroleum industry is a promising alternative to chemical biocides. However, prior to the large-scale production of AMS H2O-1 for industrial applications, its chemical structure must be elucidated. This study also analyzed the changes in the wetting properties of different surfaces conditioned with AMS H2O-1 and demonstrated the effect of AMS H2O-1 on sulfate reducing bacteria cells. Results A lipopeptide mixture from AMS H2O-1 was partially purified on a silica gel column and identified via mass spectrometry (ESI-MS). It comprises four major components that range in size from 1007 to 1049 Da. The lipid moiety contains linear and branched β-hydroxy fatty acids that range in length from C13 to C16. The peptide moiety contains seven amino acids identified as Glu-Leu-Leu-Val-Asp-Leu-Leu. Transmission electron microscopy revealed cell membrane alteration of sulfate reducing bacteria after AMS H2O-1 treatment at the minimum inhibitory concentration (5 μg/ml). Cytoplasmic electron dense inclusions were observed in treated cells but not in untreated cells. AMS H2O-1 enhanced the osmosis of sulfate reducing bacteria cells and caused the leakage of the intracellular contents. In addition, contact angle measurements indicated that different surfaces conditioned by AMS H2O-1 were less hydrophobic and more electron-donor than untreated surfaces. Conclusion AMS H2O-1 is a mixture of four surfactin-like homologues, and its biocidal activity and surfactant properties suggest that this compound may be a good candidate for sulfate reducing bacteria control. Thus, it is a potential alternative to the chemical biocides or surface coating agents currently used to prevent SRB growth in petroleum industries.

Comparative analysis of the corps en cerise in several species of Laurencia (Ceramiales, Rhodophyta) from the Atlantic Ocean

Different species of Laurencia have proven to be a rich source of natural products yielding interesting bioactive halogenated secondary metabolites, such as terpenoids and acetogenins. It is shown that such compounds are accumulated in the spherical, reniform to claviform refractive inclusions called corps en cerise (CC), which are intensively osmiophilic and located mainly in the cortical cells of the thalli and also in trichoblast cells. Up to now, it was believed that CC were present only in these two kinds of cells. Recently, however, a species of Laurencia, L. marilzae, with CC in all cells of the thallus, i.e., cortical, medullary, including the pericentral and axial cells, as well as in the trichoblasts, was described from the Canary Islands, and subsequently also reported to Brazil and Mexico. Within the Laurencia complex, only Laurencia species produce CC. Since the species of Laurencia are targets of interest for the prospection of bioactive substances due to their potential antibacterial, antifungal, anticholinesterasic, antileishmanial, cytotoxic, and antioxidant activities, the present paper carries out a comparative analysis of the corps en cerise in several species of Laurencia from the Atlantic Ocean to obtain basic information that can support natural product bioprospection projects. Our results show that the number and size of the CC are constant within a species, independent of the geographical distribution, corroborating their use for taxonomical purposes to differentiate groups of species that present a lower number from those that have a higher number. In this regard, there was a tendency for the number of CC to be higher in some species of Laurencia from the Canary Islands. The presence of CC can also be used to distinguish species in which these organelles are present in all cells of the thallus from those in which CC are restricted to the cortical cells. Among the species analyzed, L. viridis displayed the most varied secondary metabolites composition, such as sesquiterpenes, diterpenes, triterpenes, all of which showed potent antiviral, cytotoxic, and antitumoral activities, including protein phosphatase type 2A (PP2A) inhibitory effects.

Numerical combination for nonlinear analysis of structures coupled to layered soils

This paper presents an alternative coupling strategy between the Boundary Element Method (BEM) and the Finite Element Method (FEM) in order to create a computational code for the analysis of geometrical nonlinear 2D frames coupled to layered soils. The soil is modeled via BEM, considering multiple inclusions and internal load lines, through an alternative formulation to eliminate traction variables on subregions interfaces. A total Lagrangean formulation based on positions is adopted for the consideration of the geometric nonlinear behavior of frame structures with exact kinematics. The numerical coupling is performed by an algebraic strategy that extracts and condenses the equivalent soil's stiffness matrix and contact forces to be introduced into the frame structures hessian matrix and internal force vector, respectively. The formulation covers the analysis of shallow foundation structures and piles in any direction. Furthermore, the piles can pass through different layers. Numerical examples are shown in order to illustrate and confirm the accuracy and applicability of the proposed technique.

Tool wear evaluations in friction stir processing of commercial titanium Ti–6Al–4V

This research addresses the application of friction stir welding (FWS) of titanium alloy Ti–6Al–4V. Friction stir welding is a recent process, developed in the 1990s for aluminum joining; this joining process is being increasingly applied in many industries from basic materials, such as steel alloys, to high performance alloys, such as titanium. It is a process in great development and has its economic advantages when compared to conventional welding. For high performance alloys such as titanium, a major problem to overcome is the construction of tools that can withstand the extreme process environment. In the literature, the possibilities approached are only few tungsten alloys. Early experiments with tools made of cemented carbide (WC) showed optimistic results consistent with the literature. It was initially thought that WC tools may be an option to the FSW process since it is possible to improve the wear resistance of the tool. The metallographic analysis of the welds did not show primary defects of voids (tunneling) or similar internal defects due to processing, only defects related to tool wear which can cause loss of weld quality. The severe tool wear caused loss of surface quality and inclusions of fragments inside the joining, which should be corrected or mitigated by means of coating techniques on tool, or the replacement of cemented carbide with tungsten alloys, as found in the literature.

Efecto de la inclusión de harinas de cangrejo de diferente origen en piensos para bocinegro (Pagrus pagrus) sobre el crecimiento, utilización de la dieta y coloración de la piel

[EN] The effect of dietary inclusion of two type of crab meal on growth, feed utilization and skin coloration performance was investigated in a growth trial with red porgy (Pagrus pagrus) of 233g initial body weight, during 6 month feeding period. High quality fish meal and fish oil diet was used as a control (Diet C). Protein of fish meal in the control was replaced by increasing dietary levels of protein derived from a river crab meal (Procamburus clarkii) (CR) and a marine crab meal (Chaceon affinis) (CM) at 10% and 20% each of them. Regarding growth results, fish fed the CM20 diet showed the highest values in absolute final weight and percent of the initial weight. For animals fed the crab meal based diets, the colour result was better than that of fish fed the control one, showing skin redness similar to that of the wild specimens. For both ingredients, increasing dietary inclusions were accompanied for an increment of the colour saturation, being in this case the obtained value for the CR meal higher than those for the CM meal. Present results indicate that crab meals used in this study are suitable as partial replacers for fish meal in diets for the red porgy.

Il ruolo dell'ecografia prenatale nell'infezione congenita da Citomegalovirus

OBJECTIVE: To assess the effectiveness of ultrasound in the antenatal prediction of symptomatic congenital cytomegalovirus infection. STUDY DESIGN: The sonograms of 650 fetuses from mothers with primary cytomegalovirus infection were correlated to fetal/neonatal outcome. Infection status was disclosed by viral urine isolation at birth or CMV tissue inclusions at autopsy. Classification of symptomatic disease was based on postnatal clinical/laboratory findings or macroscopic evidence of tissue damage at autopsy. RESULTS: Ultrasound abnormalities were found in 51/600 (8.5%) mothers with primary infection and in 23/154 congenitally infected fetuses (14.9%). Symptomatic congenital infection resulted in 18/23 and 68/131 cases with or without abnormal sonographic findings, respectively. Positive predictive values of ultrasound versus symptomatic congenital infection was 35.3% relating to all fetuses/infants from mothers with primary infection and 78.3% relating to fetuses/infants with congenital infection. CONCLUSION: When fetal infection status is unknown, ultrasound abnormalities only predict symptomatic congenital infection in a third of cases.

Shape fabric development during progressive deformation

Zusammenfassung:Das Ziel dieser Arbeit ist ein besseres Verständnis von der Art und Weise wie sich Formregelungsgefüge entwicklen. Auf dieser Basis wird der Nutzen von Formregelungsgefügen für die Geologie evaluiert. Untersuchungsmethoden sind Geländearbeit und -auswertung, numerische Simulationen und Analogexperimente. Untersuchungen an Formregelungsgefügen in Gesteinen zeigen, daß ein Formregelungsgefüge nur zu einem begrenzten Grad als Anzeiger für die Stärke der Verformung benutzt werden kann. Der angenommene Grund hierfür ist der Einfluß des Verhältnisses von ursprünglicher zu rekristallisierter Korngröße auf die Gefügeentwicklung und von der Art und Weise wie dynamische Rekristallisation ein Gefüge verändert. Um diese Beobachtung zu evaluieren, wurden verschiedene numerische Simulationen von dynamischer Rekristallisation durchgeführt. Ein neuer Deformationsapparat, mit dem generelle Fließregime modelliert werden können, wurde entwickelt. Die rheologischen Eigenschaften von Materialien, die für solche Experimente benutzt werden, wurden untersucht und diskutiert. Ergebnisse von Analogexperimenten zeigen, daß die Intensität eines Formregelungsgefüges positiv mit der Abnahme der 'kinematic vorticity number' und einem nicht-Newtonianischen, 'power law' Verhalten des Materixmaterials korreliert ist. Experimente, in denen die Formveränderung von viskosen Einschlüssen während der progressiven Verformung modelliert werden, zeigen, daß verschiedene Viskositätskontraste zwischen Matrix- und Einschlußmaterial in charakteristische Formgefüge resultieren.

Die Faktorisierungsmethode für die elektrische Impedanztomographie im Halbraum

In der vorliegenden Arbeit wird die Faktorisierungsmethode zur Erkennung von Inhomogenitäten der Leitfähigkeit in der elektrischen Impedanztomographie auf unbeschränkten Gebieten - speziell der Halbebene bzw. dem Halbraum - untersucht. Als Lösungsräume für das direkte Problem, d.h. die Bestimmung des elektrischen Potentials zu vorgegebener Leitfähigkeit und zu vorgegebenem Randstrom, führen wir gewichtete Sobolev-Räume ein. In diesen wird die Existenz von schwachen Lösungen des direkten Problems gezeigt und die Gültigkeit einer Integraldarstellung für die Lösung der Laplace-Gleichung, die man bei homogener Leitfähigkeit erhält, bewiesen. Mittels der Faktorisierungsmethode geben wir eine explizite Charakterisierung von Einschlüssen an, die gegenüber dem Hintergrund eine sprunghaft erhöhte oder erniedrigte Leitfähigkeit haben. Damit ist zugleich für diese Klasse von Leitfähigkeiten die eindeutige Rekonstruierbarkeit der Einschlüsse bei Kenntnis der lokalen Neumann-Dirichlet-Abbildung gezeigt. Die mittels der Faktorisierungsmethode erhaltene Charakterisierung der Einschlüsse haben wir in ein numerisches Verfahren umgesetzt und sowohl im zwei- als auch im dreidimensionalen Fall mit simulierten, teilweise gestörten Daten getestet. Im Gegensatz zu anderen bekannten Rekonstruktionsverfahren benötigt das hier vorgestellte keine Vorabinformation über Anzahl und Form der Einschlüsse und hat als nicht-iteratives Verfahren einen vergleichsweise geringen Rechenaufwand.

Gebietserkennung mit der Faktorisierungsmethode

In der vorliegenden Arbeit wird die Faktorisierungsmethode zur Erkennung von Gebieten mit sprunghaft abweichenden Materialparametern untersucht. Durch eine abstrakte Formulierung beweisen wir die der Methode zugrunde liegende Bildraumidentität für allgemeine reelle elliptische Probleme und deduzieren bereits bekannte und neue Anwendungen der Methode. Für das spezielle Problem, magnetische oder perfekt elektrisch leitende Objekte durch niederfrequente elektromagnetische Strahlung zu lokalisieren, zeigen wir die eindeutige Lösbarkeit des direkten Problems für hinreichend kleine Frequenzen und die Konvergenz der Lösungen gegen die der elliptischen Gleichungen der Magnetostatik. Durch Anwendung unseres allgemeinen Resultats erhalten wir die eindeutige Rekonstruierbarkeit der gesuchten Objekte aus elektromagnetischen Messungen und einen numerischen Algorithmus zur Lokalisierung der Objekte. An einem Musterproblem untersuchen wir, wie durch parabolische Differentialgleichungen beschriebene Einschlüsse in einem durch elliptische Differentialgleichungen beschriebenen Gebiet rekonstruiert werden können. Dabei beweisen wir die eindeutige Lösbarkeit des zugrunde liegenden parabolisch-elliptischen direkten Problems und erhalten durch eine Erweiterung der Faktorisierungsmethode die eindeutige Rekonstruierbarkeit der Einschlüsse sowie einen numerischen Algorithmus zur praktischen Umsetzung der Methode.

Partial melting within the lower crust – Constraints from bulk rock geochemical data and trace element mineral analyses of granulites and migmatites from Central Finland

This PhD thesis concerns geochemical constraints on recycling and partial melting of Archean continental crust. A natural example of such processes was found in the Iisalmi area of Central Finland. The rocks from this area are Middle to Late Archean in age and experienced metamorphism and partial melting between 2.7-2.63 Ga. The work is based on extensive field work. It is furthermore founded on bulk rock geochemical data as well as in-situ analyses of minerals. All geochemical data were obtained at the Institute of Geosciences, University of Mainz using X-ray fluorescence, solution ICP-MS and laser ablation-ICP-MS for bulk rock geochemical analyses. Mineral analyses were accomplished by electron microprobe and laser ablation ICP-MS. Fluid inclusions were studied by microscope on a heating-freezing-stage at the Geoscience Center, University Göttingen. Part I focuses on the development of a new analytical method for bulk rock trace element determination by laser ablation-ICP-MS using homogeneous glasses fused from rock powder on an Iridium strip heater. This method is applicable for mafic rock samples whose melts have low viscosities and homogenize quickly at temperatures of ~1200°C. Highly viscous melts of felsic samples prevent melting and homogenization at comparable temperatures. Fusion of felsic samples can be enabled by addition of MgO to the rock powder and adjustment of melting temperature and melting duration to the rock composition. Advantages of the fusion method are low detection limits compared to XRF analyses and avoidance of wet-chemical processing and use of strong acids as in solution ICP-MS as well as smaller sample volumes compared to the other methods. Part II of the thesis uses bulk rock geochemical data and results from fluid inclusion studies for discrimination of melting processes observed in different rock types. Fluid inclusion studies demonstrate a major change in fluid composition from CO2-dominated fluids in granulites to aqueous fluids in TTG gneisses and amphibolites. Partial melts were generated in the dry, CO2-rich environment by dehydration melting reactions of amphibole which in addition to tonalitic melts produced the anhydrous mineral assemblages of granulites (grt + cpx + pl ± amph or opx + cpx + pl + amph). Trace element modeling showed that mafic granulites are residues of 10-30 % melt extraction from amphibolitic precursor rocks. The maximum degree of melting in intermediate granulites was ~10 % as inferred from modal abundances of amphibole, clinopyroxene and orthopyroxene. Carbonic inclusions are absent in upper-amphibolite facies migmatites whereas aqueous inclusion with up to 20 wt% NaCl are abundant. This suggests that melting within TTG gneisses and amphibolites took place in the presence of an aqueous fluid phase that enabled melting at the wet solidus at temperatures of 700-750°C. The strong disruption of pre-metamorphic structures in some outcrops suggests that the maximum amount of melt in TTG gneisses was ~25 vol%. The presence of leucosomes in all rock types is taken as the principle evidence for melt formation. However, mineralogical appearance as well as major and trace element composition of many leucosomes imply that leucosomes seldom represent frozen in-situ melts. They are better considered as remnants of the melt channel network, e.g. ways on which melts escaped from the system. Part III of the thesis describes how analyses of minerals from a specific rock type (granulite) can be used to determine partition coefficients between different minerals and between minerals and melt suitable for lower crustal conditions. The trace element analyses by laser ablation-ICP-MS show coherent distribution among the principal mineral phases independent of rock composition. REE contents in amphibole are about 3 times higher than REE contents in clinopyroxene from the same sample. This consistency has to be taken into consideration in models of lower crustal melting where amphibole is replaced by clinopyroxene in the course of melting. A lack of equilibrium is observed between matrix clinopyroxene / amphibole and garnet porphyroblasts which suggests a late stage growth of garnet and slow diffusion and equilibration of the REE during metamorphism. The data provide a first set of distribution coefficients of the transition metals (Sc, V, Cr, Ni) in the lower crust. In addition, analyses of ilmenite and apatite demonstrate the strong influence of accessory phases on trace element distribution. Apatite contains high amounts of REE and Sr while ilmenite incorporates about 20-30 times higher amounts of Nb and Ta than amphibole. Furthermore, trace element mineral analyses provide evidence for magmatic processes such as melt depletion, melt segregation, accumulation and fractionation as well as metasomatism having operated in this high-grade anatectic area.

From pyrene to large polycyclic aromatic hydrocarbons

Studies of polycyclic aromatic hydrocarbons have shown that the overall size, periphery, and functionalization of PAHs are crucial parameters which significantly alter their electronic structure and chemical reactivity. Therefore, the major direction of this thesis is the synthesis and characterization of extended PAHs: (i) with different functional groups improving their processability, (ii) with different periphery changing their chemical reactivity, (iii) with inclusions of different metal ions, which influence their physical properties. • The cyclodehydrogenation reaction has been proposed for to synthesise polyphenylene ribbons with preplanarized (dibenzo[e,l]pyrene) moieties in the aromatic core with up to 10 nm linear size. The synthetic strategy employed is discussed in Chapter 2 and is based on stoichiometrically controlled DIELS-ALDER cycloaddition. All molecules possessed very good solubility in common organic solvents allowing their characterization by standard analytical techniques. • A new concept was developed to extend PAH’s core. Here the introduction of “zigzag” sites, discussed in Chpater 3 was shown to lower the HOMO-LUMO gap and to result in higher chemical reactivities. This allowed, in Chapters 3, 4 and 5, further functionalization of PAH and enlargement of their aromatic cores up to 224 atoms. Despite the size of these novel molecules, extraordinary solubilities in common organic solvents were obtained due to distortions from planarity of the aromatic cores by bulky tert-butyl groups, which hampered the usually very pronounced aggregation tendency of extended π-systems. All extended PAHs posses the small HOMO-LUMO gap together with good electron affinities making them potential candidates for application in organic FETs. • Another alternative synthetic route has been proposed to obtain extended the metal-PAH complexes. Using the quinoxaline methodology in Chapter 5 three new phenanthroline ligands (up to 60 skeletal atoms) have been synthesized and characterized. Four different (Ru(II), Cu(II) and Pt(II)) complexes were synthesized, allowing to construct a range of large metal complexes by varying the metal as well as the number and nature of ligands.

The influence of heat treatment on the phase relations in mineral growth systems

ABSTRACT Corundum is one of the most famous gems materials. Different heat treatment methods for enhancement purposes are commonly applied and accepted in the gem market. With this reason, the identification of the natural, unheated corundum is intensively investigated. In this study, aluminium hydroxide minerals and zircon are focused to observe the crystallization and phase change of these minerals during heat treatment procedures. Aluminium hydroxide minerals can be transformed to alumina with the corundum structure by heating. The reaction history of aluminium hydroxide minerals containing corundum was investigated comparing it with diaspore, boehmite, gibbsite and bayerite by TG and DTA methods. These hydroxide minerals were entirely transformed to corundum after heating at 600°C. Zircon inclusions in corundums from Ilakaka, Madagascar, were investigated for the influence of different heat-treatment temperatures on the recovery of their crystalline structure and on possible reactions within and with the host crystals. The host corundum was heated at 500, 800, 1000, 1200, 1400, 1600 and 1800°C. The crystallinity, the trapped pressure, and the decomposition of the zircon inclusions within the host corundum have been investigated by Raman spectroscopy. Radiation-damaged zircon inclusions may be used as an indicator for unheated Ilakaka corundum crystals. They are fully recrystallized after heating at 1000°C influencing the lowering of the 3 Raman band shift, the decreasing of FWHM of the 3 Raman band and the decreasing of the trapped pressure between the inclusion and the host corundum. Under microscopic observation, surface alterations of the inclusions can be firstly seen from transparent into frosted-like appearance at 1400°C. Then, between 1600°C and 1800 °C, the inclusion becomes partly or even completely molten. The decomposition of the zircon inclusion to m-ZrO2 and SiO2-glass phases begins at the rim of the inclusion after heating from 1200°C to 1600°C which can be detected by the surface change, the increase of the 3 Raman band position and the trapped pressure. At 1800°C, the zircon inclusions entirely melt transforming to solid phases during cooling like m-ZrO2 and SiO2-glass accompanied by an increase of pressure between the transformed inclusion and its host.

Microscopic, chemical and spectroscopic investigations on emeralds of various origins

In dieser Arbeit werden die mikroskopischen, chemischen und spektroskopischen Charakteristika von 260 natürlichen Smaragden und 66 synthetischen „Smaragden“ untersucht. Die Konzentrationen der chemischen Elemente von Smaragden wurden mit Hilfe der LA-ICP-MS und EMS bestimmt. Ergänzende Raman- und IR spektroskopische Methoden ermöglichen es, die Herkunft der verschiedenen Smaragde und ihrer synthetischen Analoga zu bestimmen. Auf Grund der verschiedenen Gehalte von Si, Al und Be können synthetische „Smaragde“ von natürlichen getrennt werden. Die Smaragde von Malipo, Chivor und auch synthetische „Smaragde“ können von allen anderen natürlichen Smaragden wegen der unterschiedlichen Cr-, V-, und Fe-Gehalte von einander getrennt werden. Wegen der unterschiedlichen Mg-, Na-, K-Gehalte lassen sich eher „schiefer-gebundene“ Smaragde identifizieren. Dabei wird festgestellt, dass die Unterscheidung in „schiefer-„ und „nichtschiefer-gebundene“ Smaragd-Vorkommen im Wesentlichen nur die Endglieder einer offensichtlich kristallchemisch sehr variablen Mineralchemie der Berylle, bzw. Smaragde beschreibt, dass damit aber keinesfalls eine petrologisch vertretbare Trennung belegbar ist, sondern dass Smaragde nur das jeweils regierende chemische Regime unter geeigneten Druck-Temperatur-Bedingungen widerspiegeln. Einschlussmerkmale spielen eine große Rolle bei der Unterscheidung verschiedener Lagerstätten und Herstellungsmethoden. Zum Beispiel können die Smaragde der drei Lagerstätten Santa Terezinha, Chivor, und Kafubu mit Hilfe ihrer charakteristischen Pyriteinschlüsse identifiziert werden. Die Band-Positionen und FWHM -Werte der Raman-Bande bei 1068 cm-1 und der IR-Bande bei 1200 cm-1 ermöglichen eine Differenzierung zwischen synthetischen und natürlichen Smaragden, und können darüber hinaus auch Auskunft geben über die Lagerstätte. Zusammen mit chemischen Messwerten kann bewiesen werden, dass diese Banden von Si-O Schwingungen verursacht werden. Die Raman- und IR-Banden im Bereich der Wasserschwingungen und insbesondere das IR-Band um 1140 cm-1 führen zur Trennung von Flux-Synthesen, Hydrothermal-Synthesen und natürlichen Smaragden.

The factorization method for real elliptic problems

The Factorization Method localizes inclusions inside a body from measurements on its surface. Without a priori knowing the physical parameters inside the inclusions, the points belonging to them can be characterized using the range of an auxiliary operator. The method relies on a range characterization that relates the range of the auxiliary operator to the measurements and is only known for very particular applications. In this work we develop a general framework for the method by considering symmetric and coercive operators between abstract Hilbert spaces. We show that the important range characterization holds if the difference between the inclusions and the background medium satisfies a coerciveness condition which can immediately be translated into a condition on the coefficients of a given real elliptic problem. We demonstrate how several known applications of the Factorization Method are covered by our general results and deduce the range characterization for a new example in linear elasticity.