Computational studies on the structure and stabilities of magnetic inter-metallic compounds

The purpose of this thesis is to further the understanding of the structural, electronic and magnetic properties of ternary inter-metallic compounds using density functional theory (DFT). Four main problems are addressed. First, a detailed analysis on the ternary Heusler compounds is made. It has long been known that many Heusler compounds ($X_2YZ$; $X$ and $Y$ transition elements, $Z$ main group element) exhibit interesting half-metallic and ferromagnetic properties. In order to understand these, the dependence of magnetic and electronic properties on the structural parameters, the type of exchange-correlation functional and electron-electron correlation was examined. It was found that almost all Co$_2YZ$ Heusler compounds exhibit half-metallic ferromagnetism. It is also observed that $X$ and $Y$ atoms mainly contribute to the total magnetic moment. The magnitude of the total magnetic moment is determined only indirectly by the nature of $Z$ atoms, and shows a trend consistent with Slater-Pauling behaviour in several classes of these compounds. In contrast to experiments, calculations give a non-integer value of the magnetic moment in certain Co$_2$-based Heusler compounds. To explain deviations of the calculated magnetic moment, the LDA+$U$ scheme was applied and it was found that the inclusion of electron-electron correlation beyond the LSDA and GGA is necessary to obtain theoretical description of some Heusler compounds that are half-metallic ferromagnets. The electronic structure and magnetic properties of substitutional series of the quaternary Heusler compound Co$_2$Mn$_{1-x}$Fe$_x$Si were investigated under LDA+$U$. The calculated band structure suggest that the most stable compound in a half-metallic state will occur at an intermediate Fe concentration. These calculated findings are qualitatively confirmed by experimental studies. Second, the effect of antisite disordering in the Co$_2$TiSn system was investigated theoretically as well as experimentally. Preservation of half-metallicity for Co$_2$TiSn was observed with moderate antisite disordering and experimental findings suggest that the Co and Ti antisites disorder amounts to approximately 10~% in the compound. Third, a systematic examination was carried out for band gaps and the nature (covalent or ionic) of bonding in semiconducting 8- and 18-electron or half-metallic ferromagnet half-Heusler compounds. It was found that the most appropriate description of these compounds from the viewpoint of electronic structures is one of a $YZ$ zinc blende lattice stuffed by the $X$ ion. Simple valence rules are obeyed for bonding in the 8- and 18-electron compounds. Fourth, hexagonal analogues of half-Heusler compounds have been searched. Three series of compounds were investigated: GdPdSb, GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP. GdPdSb is suggested as a possible half-metallic weak ferromagnet at low temperature. GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP were investigated because they exhibit interesting bonding, structural and magnetic properties. The results qualitatively confirm experimental studies on magnetic and structural behaviour in GdPdSb, GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP compounds. ~

Flash floods and their effects on the development in El-Qaá plain area in South Sinai, Egypt

The arid regions are dominated to a much larger degree than humid regions by major catastrophic events. Although most of Egypt lies within the great hot desert belt; it experiences especially in the north some torrential rainfall, which causes flash floods all over Sinai Peninsula. Flash floods in hot deserts are characterized by high velocity and low duration with a sharp discharge peak. Large sediment loads may be carried by floods threatening fields and settlements in the wadis and even people who are living there. The extreme spottiness of rare heavy rainfall, well known to desert people everywhere, precludes any efficient forecasting. Thus, although the limitation of data still reflects pre-satellite methods, chances of developing a warning system for floods in the desert seem remote. The relatively short flood-to-peak interval, a characteristic of desert floods, presents an additional impediment to the efficient use of warning systems. The present thesis contains introduction and five chapters, chapter one points out the physical settings of the study area. There are the geological settings such as outcrop lithology of the study area and the deposits. The alluvial deposits of Wadi Moreikh had been analyzed using OSL dating to know deposits and palaeoclimatic conditions. The chapter points out as well the stratigraphy and the structure geology containing main faults and folds. In addition, it manifests the pesent climate conditions such as temperature, humidity, wind and evaporation. Besides, it presents type of soils and natural vegetation cover of the study area using unsupervised classification for ETM+ images. Chapter two points out the morphometric analysis of the main basins and their drainage network in the study area. It is divided into three parts: The first part manifests the morphometric analysis of the drainage networks which had been extracted from two main sources, topographic maps and DEM images. Basins and drainage networks are considered as major influencing factors on the flash floods; Most of elements were studied which affect the network such as stream order, bifurcation ratio, stream lengths, stream frequency, drainage density, and drainage patterns. The second part of this chapter shows the morphometric analysis of basins such as area, dimensions, shape and surface. Whereas, the third part points the morphometric analysis of alluvial fans which form most of El-Qaá plain. Chapter three manifests the surface runoff through rainfall and losses analysis. The main subject in this chapter is rainfall which has been studied in detail; it is the main reason for runoff. Therefore, all rainfall characteristics are regarded here such as rainfall types, distribution, rainfall intensity, duration, frequency, and the relationship between rainfall and runoff. While the second part of this chapter concerns with water losses estimation by evaporation and infiltration which are together the main losses with direct effect on the high of runoff. Finally, chapter three points out the factors influencing desert runoff and runoff generation mechanism. Chapter four is concerned with assessment of flood hazard, it is important to estimate runoff and tocreate a map of affected areas. Therefore, the chapter consists of four main parts; first part manifests the runoff estimation, the different methods to estimate runoff and its variables such as runoff coefficient lag time, time of concentration, runoff volume, and frequency analysis of flash flood. While the second part points out the extreme event analysis. The third part shows the map of affected areas for every basin and the flash floods degrees. In this point, it has been depending on the DEM to extract the drainage networks and to determine the main streams which are normally more dangerous than others. Finally, part four presets the risk zone map of total study area which is of high inerest for planning activities. Chapter five as the last chapter concerns with flash flood Hazard mitigation. It consists of three main parts. First flood prediction and the method which can be used to predict and forecast the flood. The second part aims to determine the best methods which can be helpful to mitigate flood hazard in the arid zone and especially the study area. Whereas, the third part points out the development perspective for the study area indicating the suitable places in El-Qaá plain for using in economic activities.

Räumliche Verbreitung geogener Schwermetallgehalte in Böden des Taunus: Einfluss von periglazialer Deckschichtengenese

Während der Glazialphasen kam es in den europäischen Mittelgebirgen bedingt durch extensive solifluidale Massenbewegungen zur Bildung von Deckschichten. Diese Deckschichten repräsentieren eine Mischung verschiedener Substrate, wie anstehendes Ausgangsgestein, äolische Depositionen und lokale Erzgänge. Die räumliche Ausdehnung der Metallkontaminationen verursacht durch kleinräumige Erzgänge wird durch die periglaziale Solifluktion verstärkt. Das Ziel der vorliegenden Untersuchung war a) den Zusammenhang zwischen den Reliefeigenschaften und den Ausprägungen der solifluidalen Deckschichten und Böden aufzuklären, sowie b) mittels Spurenelementgehalte und Blei-Isotopen-Verhältnisse als Eingangsdaten für Mischungsmodelle die Beitrage der einzelnen Substrate zum Ausgangsmaterial der Bodenbildung zu identifizieren und quantifizieren und c) die räumliche Verteilung von Blei (Pb) in Deckschichten, die über Bleierzgänge gewandert sind, untersucht, die Transportweite des erzbürtigen Bleis berechnet und die kontrollierenden Faktoren der Transportweite bestimmt werden. Sechs Transekte im südöstlichen Rheinischen Schiefergebirge, einschließlich der durch periglaziale Solifluktion entwickelten Böden, wurden untersucht. Die bodenkundliche Geländeaufnahme erfolgte nach AG Boden (2005). O, A, B und C-Horizontproben wurden auf ihre Spurenelementgehalte und teilweise auf ihre 206Pb/207Pb-Isotopenverhältnisse analysiert. Die steuernden Faktoren der Verteilung und Eigenschaften periglazialer Deckschichten sind neben der Petrographie, Reliefeigenschaften wie Exposition, Hangneigung, Hangposition und Krümmung. Die Reliefanalyse zeigt geringmächtige Deckschichten in divergenten, konvexen Hangbereichen bei gleichzeitig hohem Skelettgehalt. In konvergent, konkaven Hangbereichen nimmt die Deckschichtenmächtigkeit deutlich zu, bei gleichzeitig zunehmendem Lösslehm- und abnehmendem Skelettgehalt. Abhängig von den Reliefeigenschaften und -positionen reichen die ausgeprägten Bodentypen von sauren Braunerden bis hin zu Pseudogley-Parabraunerden. Des Weiteren kommen holozäne Kolluvien in eher untypischen Reliefpositionen wie langgestreckten, kaum geneigten Hangbereichen oder Mittelhangbereichen vor. Außer für Pb bewegen sich die Spurenelementgehalte im Rahmen niedriger Hintergrundgehalte. Die Pb-Gehalte liegen zwischen 20-135 mg kg-1. Abnehmende Spurenelementgehalte und Isotopensignaturen (206Pb/207Pb-Isotopenverhältnisse) von Pb zeigen, dass nahezu kein Pb aus atmosphärischen Depositionen in die B-Horizonte verlagert wurde. Eine Hauptkomponentenanalyse (PCA) der Spurenelementgehalte hat vier Hauptsubstratquellen der untersuchten B-Horizonte identifiziert (Tonschiefer, Löss, Laacher-See-Tephra [LST] und lokale Pb-Erzgänge). Mittels 3-Komponenten-Mischungsmodell, das Tonschiefer, Löss und LST einschloss, konnten, bis auf 10 Ausreißer, die Spurenelementgehalte aller 120 B-Horizontproben erklärt werden. Der Massenbeitrag des Pb-Erzes zur Substratmischung liegt bei <0,1%. Die räumliche Pb-Verteilung zeigt Bereiche lokaler Pb-Gehaltsmaxima hangaufwärtiger Pb-Erzgänge. Mittels eines 206Pb/207Pb-Isotopenverhältnis-Mischungsmodells konnten 14 Bereiche erhöhter lokaler Pb-Gehaltsmaxima ausgewiesen werden, die 76-100% erzbürtigen Bleis enthalten. Mit Hilfe eines Geographischen Informationssystems wurden die Transportweiten des erzbürtigen Bleis mit 30 bis 110 m bestimmt. Die steuerenden Faktoren der Transportweite sind dabei die Schluffkonzentration und die Vertikalkrümmung. Diese Untersuchung zeigt, dass Reliefeigenschaften und Reliefposition einen entscheidenden Einfluss auf die Ausprägung der Deckschichten und Böden im europäischen Mittelgebirgsbereich haben. Mischungsmodelle in Kombination mit Spurenelementanalysen und Isotopenverhältnissen stellen ein wichtiges Werkzeug zur Bestimmung der Beiträge der einzelnen Glieder in Bodensubstratmischungen dar. Außerdem können lokale Bleierzgänge die natürlichen Pb-Gehalte in Böden, entwickelt in periglazialen Deckschichten der letzten Vereisungsphase (Würm), bis über 100 m Entfernung erhöhen.