Physical Sciences and Mathematics Commons^™

Martian Xenon Components In Basaltic Shergottite Meteorites, Katherine Delene Ocker Stone

Doctoral Dissertations

Analyses of Chassigny, Nakhla, and ALH84001 reveal, in addition to a Xe component from the martian atmosphere, a second component loosely attributed to the martian "interior." This appears to be a mixture of solar- and fission- (²⁴⁴Pu) derived xenon components. The proportions are consistent in each meteorite but vary from meteorite to meteorite. The working hypothesis is that this variation reflects different contributions of solar (mantle-derived) and fission (crustal-derived) xenon to each parent melt.

This study focused on mineral separates from two basaltic shergottites, Shergotty and EETA79001 Lithology-B (EETA), chosen to reflect, as far as possible, the extremes …

Calculating The Conformal Modulus Of Complex Tori And An Application To Graph Theory, Jason Howard

Masters Theses

In 1985 William Thurston conjectured that conformal mappings could be approximated using infintessimal circles. With this, the area of mathematics called Cirle Packing was born. The advantage of this technique is that it gives a computational method of understanding manifolds. In particular, we attempt to gain some insight of complex tori via Circle Packing. In practice, it is difficult to imagine what these tori look like. Computational techniques of Circle Packing will help us visualise these tori as points in moduli space by beginning with an initial triangulation of the torus. We then experiment with triangulations on a set number …

Individual-Based Modeling: Comparing Model Outputs To Telemetry Data With Application To The Florida Panther, Dinesh Raj Sharma

Masters Theses

Mean distance of the locations of an animal from the boundaries of its home range was presented as a measure of its space-use preference. Methods for evaluating the predictive ability of an individual-based model were also presented. These methods were applied to data on the Florida panther and some interesting results were obtained.

A strong negative correlation was observed between age and home range size of the panther, indicating constrained mobility of the panther during its old age. Space-use preference was also highly dependent on age of the panther. A general trend was found for panthers, which indicates they stay …

2p Or Not 2p:The 14o(Α,2p) 16o Reaction Rate And Its Implications On Nova And X-Ray Burst Nucleosynthesis, Luc L. Dessieux, Jr.

Masters Theses

During explosive hydrogen burning, the catalytic CNO cycle suffers depletion by additional thermonuclear capture reactions on the members of the cycle. This "break out" from the β-limited CNO cycle has been suggested to occur in novae and X-ray bursts for temperatures greater than 0.4 GK [3,26,28]. At these temperatures α captures can occur on the CNO waiting point isotopes through the nuclear reactions

¹⁴O(α,p) ¹⁷F, ¹⁵O(α,γ) ¹⁹Ne, and ¹⁸Ne(α,γ) ²¹Na [3]. An additional reaction, ¹⁴O(α,2p)¹⁶O has been suggested as a possible break out path from the CNO cycle [49]. To investigate …

Implementationof Monte Carlo And Numerical Integration Techniques Within An Online Physics Laboratory Environment, Malachi Schram

Masters Theses

A robust and sophisticated online physics laboratory environment has been developed. This environment can handle large data sets and generate realistic experimental results by applying Monte Carlo and numerical integration techniques. The advantages and limitations of both the Flash 5 and Java development environments were explored. Java was chosen for it’s ability to handle large data sets and consequently used to create the Java Laboratory (JLab) environment. Within the online environment two JLabs were created, the ”Online Virtual Nuclear Decay Laboratory” and the ”Online Virtual Stern-Gerlach Laboratory”. These laboratories teach students how to manipulate experimental parameters, take data, and use …

Reaclibalive! (Reaclib Rate Library Interactive Viewer): A Software Package For Graphical Analysis Of Nuclear Reaction Rates For Astrophysics, Eric J. Lingerfelt

Masters Theses

Nucleosynthesis occurs in such diverse astrophysical phenomena as ordinary stars, like our own Sun, supernovae, novae, X-ray bursts, and the Big Bang. Large sets of nuclear reaction rates for hundreds of seed isotopes are utilized in simulations of these nucleosynthesis processes. A cross-platform, Java software package called REACLIB aLIVe! has been developed with intuitive graphical interfaces and interactive controls to produce custom one-dimensional plots of reaction rates. The points used for these plots are calculated from exponential fits whose parameters, along with other quantities, make up the REACLIB Nuclear Reaction Rate Library. The software offers nuclear astrophysicists the capability to …

Neural Supernets: Structuring Artificial Neural Networks According To Cluster Analysis, Simon Lucas Winberg

Masters Theses

A typical feed forward neural network relies solely on its training algorithm, such as backprop or quickprop, to determine suitable weight values for an architecture chosen by the human operator. The architecture itself is typically a fully connected structuring of neurons and synapses where each hidden neuron is connected to every neuron in the next layer. Such architecture does not reflect the structure of the data used to train it. Similarly, in the case where random initial weight values are used, these initial weights are also unlikely to relate to the training set. Thus the job of the training algorithm …

Cross Sections Fall 2002, Department Of Physics And Astronomy

Cross Sections

No abstract provided.

Polymer-Supported 14-Crown-4 And Bifunctional Resins For Selective Metal Ion Complexation: Synthesis And Characterization, Christy L. Stine

Doctoral Dissertations

Polymer-supported 14-crown-4 and bifunctional resins containing amine and phosphonate ester ligands were synthesized and characterized. Complexation studies were performed to evaluate the metal ion selectivity of the resins.

The immobilization of 14-crown-4 onto crosslinked polymer supports for the complexation of Li(l) from aqueous solutions was studied. M any methods were attempted, but etherification of the hydroxymethyl form of 14-crown-4 was found to be the most successful. The polymers examined were poly(vinylbenzyl chloride), poly(vinylbenzyl chloride)-co-acrylamide and poly(glycidyl methacrylate). The amount of Li(l) complexed by the crown ether supported polymers was affected by the polarity (i.e., hydrophilicity) of the polymer matrix. The …

Magnetic Properties Of Nanoparticle Systems Of Fe, Co, Ni, And Fept, Created By Ion Implantation, Korey Dean Sorge

Doctoral Dissertations

Magnetization measurements have been performed on nanoparticle arrays of Fe, Co, Ni, and FePt in single-crystal substrates. Materials are formed by ion implantation into a layer followed by thermal annealing to give electrically isolated but crystallographically textured arrays. Studies show competition between effective single-particle anisotropy (due to magnetocrystalline, shape, surface, and stress effects) and macroscopic anisotropy due to dipolar interactions.

Results of these measurements are compared to expectations found in the well-known Stoner-Wohlfarth model of non-interacting, uniaxial particles. While this model is extensively used in magnetic materials research, the missing effects from dipolar interactions between particles give very different results …

The Use Of Native And Modified Cyclodextrins For Method Development In Capillary Electrophoresis And Chemical Sensor Applications, Mustafa Culha

Doctoral Dissertations

The development and design of novel methods and materials for separation and sensing systems have critical importance for the analysis of complex mixtures. In these systems, molecular recognition is the key element for desired selectivity and it can only be achieved using rationally designed, chemically selective reagents. Cyclodextrins (CDs) are a group of macro-cyclic molecules that can recognize certain analytes depending on their shape and size. In this work, the primary goal was the design and development of CD-based separation and sensing systems. Native and derivatized CDs were utilized to develop methods for separation of a complex mixture containing six …

Single-Molecule Imaging With A Custom-Built Fluorescence Microscope, David Allan Ball

Masters Theses

An apparatus for single-molecule imaging was constructed and used to examine nanomolar solutions of Bodipy Texas Red in water. The illumination source for this microscope is a synchronously pumped dye laser operating at a wavelength of 585 nm. The beam can easily be switched to give total internal reflection or wide field epi-illumination excitation of the sample. The instrument also has the capability of being used for single-molecule detection by confocal epiillumination and for fluorescence correlation spectroscopy. Movies of single molecules were analyzed using custom software written in Matlab. Molecules stuck to the surface revealed fluctuations in intensity, or blinking, …

Studies Towards Anti-Bredt Ring Systems Of Natural Products, Ulf Peters

Masters Theses

Different ways for the synthesis of anti-Bredt ring systems of natural products have been explored.

An intended Favorskii rearrangement-divinylcyclopropane rearrangement to lead to the bicyclo[4.3.1] decadiene ring system was not accomplished. An envisioned tandem cyclopropanation-divinycyclopropane rearrangement of 2,3-divinyhex-2-enol did not furnish the desired bicyclo[4.4.1]undecadiene system, either, because cyclopropane occurred on the exocyclic double bond.

In the course of cyclopropanation studies on various cyclohexenols, an α-silyl-α-diazoethyl acetate was employed as tether. It could be removed by protodesilylation or oxidative cleavage to give a 1-(carboxylic ester)-cyclopropane or a 1-(carboxylic easter)-1-hydroxy cyclopropane derivative, respectively. Cyclopropanation general occurred on the less substituted more …

Group 4 Metallocene And Half-Sandwich Derivatives Of Spherosilicate: Preparation Fromsi8o20(Snme3)8 And Their Olefin Polymerization Activity, Suree Saengkerdsub

Doctoral Dissertations

Three metallocene and half-sandwich Group 4 complexes of cuboctameric

spherosilicate (Si8O20(TiCp2Cl)8, Si8O20(ZrCp2Cl)8, and Si8O20(TiCp*Cl2)8) were successfully prepared by the exchange reaction of Group 4 metal chlorides with the spherosilicate starting material, Si8O20(SnMe3)8. These complexes were found to be catalytically active in olefin polymerization. Their preparative reactions clearly demonstrate a synthetically useful route towards many other derivatives of spherosilicate through the Si8O20(SnMe3)8 starting material. A new synthesis of the key precursor, octa(trimethyltin) cuboctameric spherosilicate Si8O20(SnMe3)8, was developed. It was found that most of the waters of hydration of the initial hydrate ([NMe4][Si8O20] @ n H2O, = 60! 70) could be removed …

N-Person Cooperative Game Theory Solutions, Coalitions, And Applications, Ragan Nicole Brackin

Masters Theses

This study explores the topic of N-person cooperative game theory. The following paper begins with an introduction to the basic definitions and the- orems of game theory. These definitions and theorems are then used to in- troduce various solution methods and methods of coalition formation. These results are then applied to the airport game, to the supplier-firm-buyer game, and to evolutionary games.

Design And Simulation Of Self-Organizing Microbial Cellular Automata, Michael Patrick Campfield

Masters Theses

This paper discusses the design and implementation of cellular automata based on the alteration of genetic sequences in bacteria. The work is composed of five chapters covering the problem, the system’s design, the software simulation of the system and future issues on the problem. The section covering the problem explores the reasons for this work as well as issues that this work solves. The section covering system design details the modified genetic sequences and the algorithm that these sequences implement. The simulation section describes the layout of an experiment along with the test cases experimented on. Finally, the future work …

Using The Maple Computer Algebra System As A Tool For Studying Group Theory, Thomas Edmond Cooper, Iii

Masters Theses

The purpose of this study was to show that computers can be powerful tools for studying group theory. Specifically the author examined ways that the computer algebra system Maple can be used to assist in the study of group theory. The study consists of four main parts.

After a brief introduction in chapter one, chapter two discusses simple procedures written by the author to study small finite groups. These procedures rely on the fact that for small finite groups, the elements can all be stored on a computer and tested for various properties. All of the procedures are contained in …

Defining The Hayesville–Soque River And Allatoona Faults And An Ordovician Arc Assemblage Within The Central Blue Ridge Northwest Of Dahlonega, Georgia, David Jonathan Settles

Masters Theses

The goal of this research within the central Blue Ridge northwest of Dahlonega, Georgia, is to provide new information toward better understanding of the Allatoona(?)/ Hayesville/Gossan Lead fault and terrane boundary, and to provide convincing evidence of Ordovician arc-related igneous activity. The Hayesville-Soque River and Allatoona faults separate three distinct tectonostratigraphic assemblages in this area: the Coweeta Group, Great Smoky Group, and Dahlonega gold belt. The gold belt here contains metasandstone, pelitic schist, and mafic rocks of the Otto Formation and the Sally Free mafic complex, while the Great Smoky Group contains metasandstone and pelitic schist with abundant calc-silicate. The …

Third Order Opial Inequalities, Brandi Michelle Gierhart

Masters Theses

The purpose of the thesis was to find extremals y and constants K for a basic problem and for several variations of the problem. The basic problem was the third order opial inequality. We proved the existence of an extremal of this problem and other related problems. We conjectured that the extremal was a quintic spline with at most one knot, then found the quintic splines and constants for the basic problem and several variations. Maple was an important tool in finding these extremals and constants due to the complexity of the equations. We also proved that these extremals can …

Single-Molecule Detection, Wesley Carlton Parker

Masters Theses

Single-molecule detection (SMD) provides a practical method of examining the behavior of individual molecules. This has application both for fundamental studies of particle dynamics such as diffusion in solutions, and for bio-technology applications such as DNA sequencing.

In this thesis I discuss two confocal epi-illumination microscopes constructed at UTSI and used for single-molecule detection and fluorescence correlation spectroscopy. Examples of data collected from experiments using each instrument is presented in which solutions of the fluorescent dye sulforhodamine 101 are analyzed. An example of the use of the instrument to detect fluorescence quenching is also presented.

Design And Implementation Of The L-Bone And Logistical Tools, Edward Scott Atchley

Masters Theses

The purpose of this paper is to outline the design criteria and implementation of the Logistical Backbone (L-Bone) and the Logistical Tools. These tools, along with IBP and the exNode Library, allow storage to be used as a network resource. These are components of the Network Storage Stack, a design by the Logistical Computing and Internetworking Lab at the University of Tennessee. Having storage as a network resource enables users to do many things that are either difficult or not possible today, such as moving and sharing very large files across administrative domains, improving performance through caching and improving fault-tolerance …

On A Grid-Based Interface To A Special-Purpose Hardware Cluster, Jeanne Marie Lehrter

Masters Theses

Grid computing is an important and useful tool that enables resource sharing within a computational community. In the grid computing model, each node of the grid is a computational resource that may be used by applications residing on other nodes of the grid or on machines outside of the grid. To make grid computing more accessible to all users, the Innovative Computing Lab on campus at the University of Tennessee has produced a software package called NetSolve. NetSolve is a client-server application that defines interfaces for accessing and utilizing the software and hardware resources of the nodes in the grid …

Optimal Control Problems In Pde And Ode Systems, Hem Raj Joshi

Doctoral Dissertations

This dissertation contains three separate optimal control problems involving partial differential equations (PDEs) or ordinary differential equations (ODEs). In each problem, an objective functional representing the goal of the control process is minimized. First, a system of ordinary differential equations which describe the interaction of Human Immunodeficiency Virus (HIV) and CD4+T-cells in the human immune system is studied. Two controls representing drug treatment strategies of this model are explored. Existence and uniqueness results for the optimal control pair are established. The optimality system is derived and then solved numerically using an iterative method with the Runge-Kutta fourth order scheme.

Second, …

On Reproducing Kernels And Invariant Subspaces Of The Bergman Shift, George Chailos

Doctoral Dissertations

No abstract provided.

Cross Sections Spring 2002, Department Of Physics And Astronomy

Cross Sections

No abstract provided.

Utk Geography Newsletter 3 (2002), Department Of Geography

UTK Geography Newsletter

No abstract provided.

Game Theory And Operations Research, Martin Shubik

About Harlan D. Mills

No abstract provided.