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Representation Properties Of Definite Lattices In Function Fields, Jean Edouard Bureau Jan 2006

Representation Properties Of Definite Lattices In Function Fields, Jean Edouard Bureau

LSU Doctoral Dissertations

This work is made of two different parts. The first contains results concerning isospectral quadratic forms, and the second is about regular quadratic forms. Two quadratic forms are said to be isospectral if they have the same representation numbers. In this work, we consider binary and ternary definite integral quadratic form defined over the polynomial ring F[t], where F is a finite field of odd characteristic. We prove that the class of such a form is determined by its representation numbers. Equivalently, we prove that there is no nonequivalent definite F[t]-lattices of rank 2 or 3 having the same theta …


Ab Initio Molecular Dynamics Simulations Of Methylaluminoxane (Mao) Synthesis By Hydrolysis Of Trimethylaluminum, Lacramioara Negureanu Jan 2006

Ab Initio Molecular Dynamics Simulations Of Methylaluminoxane (Mao) Synthesis By Hydrolysis Of Trimethylaluminum, Lacramioara Negureanu

LSU Doctoral Dissertations

MAO is the co-catalyst in the metallocene catalytic systems, which are widely used in single site olefin polymerization due to their high stereoselectivity. To date, the precise structure of MAO, the particular compound or compounds catalytically active in MAO, have eluded researchers. MAO, a white amorphous powder, is not a good sample for a direct spectroscopic characterization, and its NMR spectra are broad and almost featureless. Many structural models have been proposed but none are generally accepted. In the first part of this work the MAO formation mechanism was addressed. Molecular dynamics simulations at MP2 configuration interaction theory level have …


Characterization Of Beta-Amyloid Peptide Aggregation And Acceleration With Non-Fibrillar Forming Peptide-Based Mediators, Nadia J. Edwin Jan 2006

Characterization Of Beta-Amyloid Peptide Aggregation And Acceleration With Non-Fibrillar Forming Peptide-Based Mediators, Nadia J. Edwin

LSU Doctoral Dissertations

Protein aggregation occurs under many circumstances, from the dynamic assembly of tubulin to form microtubules, the aggregation of actin into filaments, as well as plaque formation by amyloid precipitation. One important requirement in studying the mechanism of amyloid aggregation is the ability to monitor the growth kinetics over a wide range in size scales (10 nm to microns) with time that spans microseconds to seconds. Understanding the mechanisms of the aggregation may then lead to improved design of drugs to help control or suppress the aggregation process. In this dissertation, the physical characterization of the â-amyloid peptide and its interaction …


Magnetic, Thermodynamic And Transport Properties Of The Magnetic Semiconductor Fe₁₋Xcoxs₂ And Superconducting Lasb₂, Song Guo Jan 2006

Magnetic, Thermodynamic And Transport Properties Of The Magnetic Semiconductor Fe₁₋Xcoxs₂ And Superconducting Lasb₂, Song Guo

LSU Doctoral Dissertations

In recent years magnetic semiconductors have attracted a great deal of attention because it is thought that they can be used to generate spin polarized current in spintronics, an emerging field where the spin degree of freedom of charge carriers is utilized in microelectronic devices. In this dissertation work, we investigate the magnetic, thermodynamic, and transport properties of the magnetic semiconductor Fe1-XCoxS2 for x less than 0.14, the doping range where Insulator-to-Metal and paramagnetic-to-ferromagnetic transitions occur. We discovered that the Kondo effect is an important ingredient in the paramagnetic region of magnetic semiconductor Fe1-X …


Adaptive Scalable Protocols For Heterogeneous Wireless Networks, Vamsi Krishna Paruchuri Jan 2006

Adaptive Scalable Protocols For Heterogeneous Wireless Networks, Vamsi Krishna Paruchuri

LSU Doctoral Dissertations

The focus of this dissertation is to propose analytical models to study the impact of collisions and interference in heterogeneous wireless networks and propose simple scalable and lightweight protocols that use these models to adapt to network conditions thus increasing efficiency, decreasing energy consumption and prolonging network lifetime. The contributions of this dissertation are multifold and are summarized as follows: - Analytical models to study the impact of collisions and interference on both broadcast and unicast messages. These analytical models are incorporated into the proposed protocols to adapt to the prevailing network conditions to improve their performance. - Optimized Flooding …


Population Boundaries And Gravitational-Wave Templates For Evolving White Dwarf Binaries, Ravi Kumar Kopparapu Jan 2006

Population Boundaries And Gravitational-Wave Templates For Evolving White Dwarf Binaries, Ravi Kumar Kopparapu

LSU Doctoral Dissertations

We present results from our analysis of double white dwarf (DWD) binary star systems in the inspiraling and mass-transfer stages of their evolution. Theoretical constraints on the properties of the white dwarf stars allow us to map out the DWD trajectories in the gravitational-wave amplitude-frequency domain and to identify population boundaries that define distinct sub-domains where inspiraling and/or mass-transferring systems will and will not be found. We identify for what subset of these populations it should be possible to measure frequency changes and, hence, directly follow orbit evolutions given the anticipated operational time of the proposed space-based gravitational-wave detector, LISA. …


Development Of Analytical Techniques For The Analysis Of Submicron Particles And Protein Aggregates, Yohannes H. Rezenom Jan 2006

Development Of Analytical Techniques For The Analysis Of Submicron Particles And Protein Aggregates, Yohannes H. Rezenom

LSU Doctoral Dissertations

The goal of the research presented in this dissertation is to develop analytical techniques for the analysis of heterogeneous mixtures of submicron particles and protein aggregates. In Chapter 2, a simple and reproducible technique for constructing perfectly aligned gaps in fused-silica capillaries has been developed for postcolumn reagent addition with capillary electrophoresis (CE) to take advantage of laser-induced fluorescence (LIF) detection. This technique uses laser ablation with a Nd:YAG laser to create gaps of 14.0 ¡Ó 2.2 ƒÝm. These structures have been used for reagent addition for postcolumn derivatization with LIF detection and have been tested for the separation of …


Investigation Into The Dirhodium-Catalyzed Hydroformylation Of 1-Alkenes And Preparation Of A Novel Tetraphosphine Ligand, Alexandre R. Monteil Jan 2006

Investigation Into The Dirhodium-Catalyzed Hydroformylation Of 1-Alkenes And Preparation Of A Novel Tetraphosphine Ligand, Alexandre R. Monteil

LSU Doctoral Dissertations

The reaction of the tetraphosphine ligand rac-et,ph-P4 (et,ph-P4 = PEt2CH2CH2(Ph)PCH2P(Ph)CH2CH2PEt2) with 2 equiv. of [Rh(nbd)2]+ (nbd = norbornadiene) generates [rac-Rh2(nbd)2(et,ph-P4)]2+, which is the precursor to a highly active and regioselective hydroformylation catalyst system. The “key” catalyst species generated under H2/CO pressure has been proposed to be the dihydrido complex [rac-Rh2H2(ì-CO)2(et,ph-P4)]2+, and represents one of the most dramatic example of homobimetallic …


Simulating Protein Evolution Via Thermodynamic Models, Yanlong Xu Jan 2006

Simulating Protein Evolution Via Thermodynamic Models, Yanlong Xu

LSU Doctoral Dissertations

Natural proteins are results of evolution and they need to maintain certain thermodynamic stabilities in order to carry out their biological functions. By simulating protein evolution based on thermodynamic rules, we could reconstruct the evolution trajectory and analyze the evolutionary dynamics of a protein population, and further understand the protein sequence-structure-function relationship. In this study, we have used both a simplified lattice model and a high-resolution atomic model to simulate protein evolution processes. With the lattice model, we have investigated general theoretical questions about how protein structural designability would affect protein evolution, particularly how it would affect protein recombination and …


Effective Bootstrapping Of Peer-To Peer Networks Over Mobile Ad-Hoc Networks, Wei Ding Jan 2006

Effective Bootstrapping Of Peer-To Peer Networks Over Mobile Ad-Hoc Networks, Wei Ding

LSU Doctoral Dissertations

Mobile Ad-hoc Networks (MANETs) and Peer-to-Peer (P2P) networks are vigorous, revolutionary communication technologies in the 21st century. They lead the trend of decentralization. Decentralization will ultimately win clients over client/server model, because it gives ordinary network users more control, and stimulates their active participation. It is a determinant factor in shaping the future of networking. MANETs and P2P networks are very similar in nature. Both are dynamic, distributed. Both use multi-hop broadcast or multicast as major pattern of traffic. Both set up connection by self-organizing and maintain connection by self-healing. Embodying the slogan "networking without networks," both abandoned traditional client/server …


Synthesis, Crystal Growth, Magnetic And Transport Properties Of Ln-M-X (Ln=Lanthanide, M=Transition Metal, X=In, Ga) Compounds, Willa Maria Williams Jan 2006

Synthesis, Crystal Growth, Magnetic And Transport Properties Of Ln-M-X (Ln=Lanthanide, M=Transition Metal, X=In, Ga) Compounds, Willa Maria Williams

LSU Doctoral Dissertations

ABSTRACT This dissertation focuses on the structural stability, magnetic and transport properties of ternary lanthanide compounds grown using indium and gallium flux. Single crystals of TbRhIn5 were synthesized using indium flux. TbRhIn5 is isostructural to the well known LnnMIn3n+2 (n = 1, 2, ∞; Ln = La, Ce; M = Rh, Ir) and adopts the HoCoGa5 structure type and crystallizes in the space group P4/mmm, Z = 1. Lattice parameters are a = 4.6000(6) Å and c = 7.4370(11) Å, V = 157.29(6) Å3. A sharp antiferromagnetic transition is observed at TN = 48 K for TbRhIn5. Single crystals of …