Relativistische vier und zwei Spinor Finite Elemente Berechnungen zweiatomiger Moleküle

Der Vielelektronen Aspekt wird in einteilchenartigen Formulierungen berücksichtigt, entweder in Hartree-Fock Näherung oder unter dem Einschluß der Elektron-Elektron Korrelationen durch die Dichtefunktional Theorie. Da die Physik elektronischer Systeme (Atome, Moleküle, Cluster, Kondensierte Materie, Plasmen) relativistisch ist, habe ich von Anfang an die relativistische 4 Spinor Dirac Theorie eingesetzt, in jüngster Zeit aber, und das wird der hauptfortschritt in den relativistischen Beschreibung durch meine Promotionsarbeit werden, eine ebenfalls voll relativistische, auf dem sogenannten Minimax Prinzip beruhende 2-Spinor Theorie umgesetzt. Im folgenden ist eine kurze Beschreibung meiner Dissertation: Ein wesentlicher Effizienzgewinn in der relativistischen 4-Spinor Dirac Rechnungen konnte durch neuartige singuläre Koordinatentransformationen erreicht werden, so daß sich auch noch für das superschwere Th2 179+ hächste Lösungsgenauigkeiten mit moderatem Computer Aufwand ergaben, und zu zwei weiteren interessanten Veröffentlichungen führten (Publikationsliste). Trotz der damit bereits ermöglichten sehr viel effizienteren relativistischen Berechnung von Molekülen und Clustern blieben diese Rechnungen Größenordnungen aufwendiger als entsprechende nicht-relativistische. Diese behandeln das tatsächliche (relativitische) Verhalten elektronischer Systeme nur näherungsweise richtig, um so besser jedoch, je leichter die beteiligten Atome sind (kleine Kernladungszahl Z). Deshalb habe ich nach einem neuen Formalismus gesucht, der dem möglichst gut Rechnung trägt und trotzdem die Physik richtig relativistisch beschreibt. Dies gelingt durch ein 2-Spinor basierendes Minimax Prinzip: Systeme mit leichten Atomen sind voll relativistisch nunmehr nahezu ähnlich effizient beschrieben wie nicht-relativistisch, was natürlich große Hoffnungen für genaue (d.h. relativistische) Berechnungen weckt. Es ergab sich eine erste grundlegende Veröffentlichung (Publikationsliste). Die Genauigkeit in stark relativistischen Systemen wie Th2 179+ ist ähnlich oder leicht besser als in 4-Spinor Dirac-Formulierung. Die Vorteile der neuen Formulierung gehen aber entscheidend weiter: A. Die neue Minimax Formulierung der Dirac-Gl. ist frei von spuriosen Zuständen und hat keine positronischen Kontaminationen. B. Der Aufwand ist weit reduziert, da nur ein 1/3 der Matrix Elemente gegenüber 4-Spinor noch zu berechnen ist, und alle Matrixdimensionen Faktor 2 kleiner sind. C. Numerisch verhält sich die neue Formulierung ähnlilch gut wie die nichtrelativistische Schrödinger Gleichung (Obwohl es eine exakte Formulierung und keine Näherung der Dirac-Gl. ist), und hat damit bessere Konvergenzeigenschaften als 4-Spinor. Insbesondere die Fehlerwichtung (singulärer und glatter Anteil) ist in 2-Spinor anders, und diese zeigt die guten Extrapolationseigenschaften wie bei der nichtrelativistischen Schrödinger Gleichung. Die Ausweitung des Anwendungsbereichs von (relativistischen) 2-Spinor ist bereits in FEM Dirac-Fock-Slater, mit zwei Beispielen CO und N2, erfolgreich gemacht. Weitere Erweiterungen sind nahezu möglich. Siehe Minmax LCAO Nährung.

Effect of within-litter birth weight variation on piglet survival and pre-weaning weight gain in a commercial herd

There are several factors that affect piglet survival and this has a bearing on sow productivity. Ten variables that influence pre-weaning vitality were analysed using records from the Pig Industry Board, Zimbabwe. These included individual piglet birth weight, piglet origin (nursed in original litter or fostered), sex, relative birth weight expressed as standard deviation units, sow parity, total number of piglets born, year and month of farrowing, within-litter variability and the presence of stillborn or mummified littermates. The main factors that influenced piglet mortality were fostering, parity and within-litter variability especially the weight of the individual piglet relative to the average of the litter (P<0.05). Presence of a mummified or stillborn littermate, which could be a proxy for unfavourable uterine environment or trauma during the birth process, did not influence pre-weaning mortality. Variability within a litter and the deviation of the weight of an individual piglet from the litter mean, influenced survival to weaning. It is, therefore, advisable for breeders to include uniformity within the litter as a selection criterion. The recording of various variables by farmers seems to be a useful management practice to identify piglets at risk so as to establish palliative measures. Further, farmers should know which litters and which piglets within a litter are at risk and require more attention.

Horizontal nutrient fluxes and production efficiencies in urban and peri-urban crop and livestock husbandry of Niamey, Niger

Urban and peri-urban agriculture (UPA) increasingly supplies food and non-food values to the rapidly growing West African cities. However, little is known about the resource use efficiencies in West African small-scale UPA crop and livestock production systems, and about the benefits that urban producers and retailers obtain from the cultivation and sale of UPA products. To contribute to filling this gap of knowledge, the studies comprising this doctoral thesis determined nutrient use efficiencies in representative urban crop and livestock production system in Niamey, Niger, and investigated potential health risks for consumers. Also assessed was the economic efficiency of urban farming activities. The field study, which was conducted during November 2005 to January 2008, quantified management-related horizontal nutrient flows in 10 vegetable gardens, 9 millet fields and 13 cattle and small ruminant production units. These farms, selected on the basis of a preceding study, represented the diversity of UPA crop and livestock production systems in Niamey. Based on the management intensity, the market orientation and especially the nutrient input to individual gardens and fields, these were categorized as high or low input systems. In the livestock study, high and low input cattle and small ruminant units were differentiated based on the amounts of total feed dry matter offered daily to the animals at the homestead. Additionally, economic returns to gardeners and market retailers cultivating and selling amaranth, lettuce, cabbage and tomato - four highly appreciated vegetables in Niamey were determined during a 6-months survey in forty gardens and five markets. For vegetable gardens and millet fields, significant differences in partial horizontal nutrient balances were determined for both management intensities. Per hectare, average annual partial balances for carbon (C), nitrogen (N), phosphorus (P) and potassium (K) amounted to 9936 kg C, 1133 kg N, 223 kg P and 312 kg K in high input vegetable gardens as opposed to 9580 kg C, 290 kg N, 125 kg P and 351 kg K in low input gardens. These surpluses were mainly explained by heavy use of mineral fertilizers and animal manure to which irrigation with nutrient rich wastewater added. In high input millet fields, annual surpluses of 259 kg C ha-1, 126 kg N ha-1, 20 kg P ha-1 and 0.4 kg K ha-1 were determined. Surpluses of 12 kg C ha-1, 17 kg N ha-1, and deficits of -3 kg P ha-1 and -3 kg K ha-1 were determined for low input millet fields. Here, carbon and nutrient inputs predominantly originated from livestock manure application through corralling of sheep, goats and cattle. In the livestock enterprises, N, P and K supplied by forages offered at the farm exceeded the animals’ requirements for maintenance and growth in high and low input sheep/goat as well as cattle units. The highest average growth rate determined in high input sheep/goat units was 104 g d-1 during the cool dry season, while a maximum average gain of 70 g d-1 was determined for low input sheep/goat units during the hot dry season. In low as well as in high input cattle units, animals lost weight during the hot dry season, and gained weight during the cool dry season. In all livestock units, conversion efficiencies for feeds offered at the homestead were rather poor, ranging from 13 to 42 kg dry matter (DM) per kg live weight gain (LWG) in cattle and from 16 to 43 kg DM kg-1 LWG in sheep/goats, pointing to a substantial waste of feeds and nutrients. The economic assessment of the production of four high value vegetables pointed to a low efficiency of N and P use in amaranth and lettuce production, causing low economic returns for these crops compared to tomato and cabbage to which inexpensive animal manure was applied. The net profit of market retailers depended on the type of vegetable marketed. In addition it depended on marketplace for amaranth and lettuce, and on season and marketplace for cabbage and tomato. Analysis of faecal pathogens in lettuce irrigated with river water and fertilized with animal manure indicated a substantial contamination by Salmonella spp. with 7.2 x 104 colony forming units (CFU) per 25 g of produce fresh matter, while counts of Escherichia coli averaged 3.9 x 104 CFU g-1. In lettuce irrigated with wastewater, Salmonella counts averaged 9.8 x 104 CFU 25 g-1 and E. coli counts were 0.6 x 104 CFU g-1; these values exceeded the tolerable contamination levels in vegetables of 10 CFU g-1 for E. coli and of 0 CFU 25 g-1 for Salmonella. Taken together, the results of this study indicate that Niamey’s UPA enterprises put environmental safety at risk since excess inputs of N, P and K to crop and livestock production units favour N volatilisation and groundwater pollution by nutrient leaching. However, more detailed studies are needed to corroborate these indications. Farmers’ revenues could be significantly increased if nutrient use efficiency in the different production (sub)systems was improved by better matching nutrient supply through fertilizers and feeds with the actual nutrient demands of plants and animals.

Effect of rosemary (Rosmarinus officinalis) extract on weight, hematology and cell-mediated immune response of newborn goat kids

This study aimed at evaluating the effects of different levels of rosemary (Rosmarinus officinalis) extract on growth rate, hematology and cell-mediated immune response in Markhoz newborn goat kids. Twenty four goat kids (aged 7 +/- 3 days) were randomly allotted to four groups with six replicates. The groups included: control, T1, T2 and T3 groups which received supplemented-milk with 0, 100, 200 and 400mg aqueous rosemary extract per kg of live body weight per day for 42 days. Body weights of kids were measured weekly until the end of the experiment. On day 42, 10 ml blood samples were collected from each kid through the jugular vein. Cell-mediated immune response was assessed through the double skin thickness after intradermal injection of phyto-hematoglutinin (PHA) at day 21 and 42. No significant differences were seen in initial body weight, average daily gain (ADG) and total gain. However, significant differences in globulin (P <0.05), and white blood cells (WBC) (P <0.001) were observed. There were no significant differences in haemoglobin (Hb), packed cell volume (PCV), red blood cells (RBC), lymphocytes and neutrophils between the treatments. Skin thickness in response to intra dermal injection of PHA significantly increased in the treated groups as compared to the control group at day 42 (P< 0.01) with the T3 group showing the highest response to PHA injection. In conclusion, the results indicated that aqueous rosemary extract supplemented-milk had a positive effect on immunity and skin thickness of newborn goat kids.

Determinants of technical efficiency of freshwater prawn farming in southwestern Bangladesh

This paper estimates a translog stochastic production function to examine the determinants of technical efficiency of freshwater prawn farming in Bangladesh. Primary data has been collected using random sampling from 90 farmers of three villages in southwestern Bangladesh. Prawn farming displayed much variability in technical efficiency ranging from 9.50 to 99.94% with mean technical efficiency of 65%, which suggested a substantial 35% of potential output can be recovered by removing inefficiency. For a land scarce country like Bangladesh this gain could help increase income and ensure better livelihood for the farmers. Based on the translog production function specification, farmers could be made scale efficient by providing more input to produce more output. The results suggest that farmers’ education and non-farm income significantly improve efficiency whilst farmers’ training, farm distance from the water canal and involvement in fish farm associations reduces efficiency. Hence, the study proposes strategies such as less involvement in farming-related associations and raising the effective training facilities of the farmers as beneficial adjustments for reducing inefficiency. Moreover, the key policy implication of the analysis is that investment in primary education would greatly improve technical efficiency.