Physical Sciences and Mathematics Commons^™

Synthesis And Characterization Of Rhenium 2,2′-Pyridylnaphthyridine Metal Complexes, Benjamin F. Solomon

Honors Theses

Rhenium (Re) is a group 7 heavy 5d transition metal in the same family as manganese (Mn) and technetium (Tc). Re-carbonyl complexes are known to be catalysts for many different kinds of reactions from C-C bond formation to reduction reactions like CO₂ reduction (CO₂RR)^1,2. With this in mind, we have prepared a set of six Re-carbonyl complexes of 2,2′-pyridyl-1,6-naphthyridine (1,6- pynap) and 2,2′-pyridyl-1,8-naphthyridine (1,8-pynap), a redox non-innocent ligand containing a bpy moiety as well as an additional aryl nitrogen binding location at which another metal-ligand bond could form. We have synthesized these complexes as precursors …

The Rotational Period Distribution Of Massive Magnetic White Dwarfs, Zorayda Martinez

Honors Theses

Rapidly rotating white dwarfs (WDs) have the potential to come about by either double degenerate mergers or weak coupling between the core and the outer envelope during the asymptotic giant branch (AGB). For both cases, knowledge of the rotational period distribution places tight constraints on the evolution of angular momentum transfer. Here we present initial results from a study of the rotational period distribution of 19 massive (M > 0:9M), magnetic, DA WDs observed by the Transiting Exoplanet Survey Satellite (TESS) and 17 observed with ground-based telescopes and analyzed with the Lightkurve python package. We present periodograms, folded light curves, and …

Characterization Of Shinella 6-Hydroxy-(L)-Nicotine Oxidase (6hlno-Se), Kaitrin Funckes

Honors Theses

6-hydroxy-(L)-nicotine oxidase, isolated from the organism Shinella sp. HZN7 (6HLNO-SE), is an enzyme that during the catabolism of nicotine catalyzes the oxidation of (S)-6-hydroxynicotine to 6-hydroxypseudeooxynicotine. This enzyme is a member of the monoamine oxidase (MAO) structural family of flavoproteins, which contain a highly conserved FAD-binding domain. Within the binding domain is a conserved lysine residue that can be traced throughout evolutionary history in this family. 6HLNO isolated from Arthrobacter nicotinovorans serves as a model enzyme for the one isolated from Shinella as both catalyze the same reaction in this biochemical pathway and much has been studied about the Arthrobacter …

The Luminous Power Of Accretion Disks In Active Galactic Nuclei, Imogen Jade Courtney

Honors Theses

Active Galactic Nuclei (AGN) are the most luminous long-lived objects in the universe. The phenomenon of the immense luminosities we observe for AGN has interested physicists and astronomers for over a century and continues to fascinate scientists today. The work in this thesis aims to provide an introductory exploration of this phenomenon. This thesis uses a simple model of AGN accretion disks that was developed under the standard disk model proposed by Shakura & Sunyev in 1973 under the simplest assumptions. The model accurately demonstrates how physical parameters, such as the temperature, radiative flux, luminosity, and spectra, scale through an …

Race, Gender And Rawls' "A Theory Of Justice.", Robert Carico

Honors Theses

Should we use the concepts developed by John Rawls in his A Theory of Justice to guide research questions relevant to issues concerning race and gender? This paper argues not only that the concepts from A Theory of Justice should not be used as the primary tool in any debate concerning race and gender, but it also challenges the abstract thinking of 21st Century Western Philosophers to develop a theory of justice that acknowledges the fact that people have their own interests and depending on what race and/or gender they identify with, might not have equal rights protected under the …

From Big Farm To Big Pharma: A Differential Equations Model Of Antibiotic-Resistant Salmonella In Industrial Poultry Populations, Rilyn Mckallip

Honors Theses

Antibiotics are used in poultry production as prophylaxis, curative treatment, and growth promotion. The first use is as prophylaxis, or prevention of common bacterial diseases. The crowded conditions in concentrated animal feeding operations necessitate management of infectious disease to ensure overall animal health and the profitability of such operations. In these farms, between 20,000 and 125,000 birds are raised in shed-like enclosures [3], with an average of less than one square foot of space per chicken [34]. Antibiotics are currently used in chicken farms to manage and prevent common bacterial diseases such as respiratory and digestive tract infections, as well …

Computational Study Of The Rotational Barrier In Indole Derivatives, Javaughn Martinez

Honors Theses

The purpose of this computational study is to understand the rotational barrier in indole derivatives, leading to stereoisomers, specifically atropisomers, which will impact the research direction focused on the development of a porphyrin hosts in Professor Starnes’s group. The Starnes research group is working to synthesize a porphyrin host that can function as a sensor or to remove harmful and deleterious anions such as phosphate and nitrates (Busschaert, et al, 2015). We will utilize the data provided to understand the required energy to restrict a rotation around the indole-benzene bond. To do so, the indole derivatives will be studied using …

The Public Trust Doctrine: Roman Law Roots And Future In Environmental Litigation, Phoebe Liccardo

Honors Theses

The public trust is an ancient and enduring legal doctrine. With roots in Roman law, the public trust persists through English law, and into the United States. Scholars and jurists in the field of Roman and environmental law do not all agree on the history and continuity of the public trust doctrine (PTD). There are those who argue the Roman law introducing a public trust did not assert the same protections present in the doctrine today. Conversely, there are those who believe the Roman law did enshrine similar protections, and further, that it calls for an expansion of PTD in …

Optimal Method For Reconstructing Polychromatic Maps From Broadband Observations With An Aysmmetric Antenna Pattern, Brianna Cantrall, Emory F. Bunn, Solomon Quinn

Honors Theses

Broadband time-ordered data obtained from telescopes with a wavelength-dependent, asymmetric beam pattern can be used to extract maps at multiple wavelengths from a single scan. This technique is especially useful when collecting data on cosmic phenomena such as the Cosmic Microwave Background (CMB) radiation, as it provides the ability to separate the CMB signal from foreground contaminants. We develop a method to determine the optimal linear combinations of wavelengths (“colors”) that can be reconstructed for a given telescope design and the number of colors that are measurable with high signal-to-noise ratio. The optimal colors are found as eigenvectors of a …

The Commutant Of The Fourier–Plancherel Transform, Brianna Cantrall

Honors Theses

One can see that this matrix is unitary and has eigenvalues {1,−i,−1, I}, each of infinite multiplicity. Throughout the remainder of this thesis, we will convince the reader that the above linear transformation is actually the Fourier transform. We will compute the commutant, as well as its invariant subspaces. The key to do this relies on the Hermite polynomials. Why do we recast the Fourier transform from its well-known and well studied integral form to the matrix form shown above? As we will see, the matrix form allows us to efficiently discover the operator theory of the Fourier transform obfuscated …

Length Bias Estimation Of Small Businesses Lifetime, Simeng Li

Honors Theses

Small businesses, particularly restaurants, play a crucial role in the economy by generating employment opportunities, boosting tourism, and contributing to the local economy. However, accurately estimating their lifetimes can be challenging due to the presence of length bias, which occurs when the likelihood of sampling any particular restaurant's closure is influenced by its duration in operation. To address the issue, this study conducts goodness-of-fit tests on exponential/gamma family distributions and employs the Kaplan-Meier method to more accurately estimate the average lifetime of restaurants in Carytown. By providing insights into the challenges of estimating the lifetimes of small businesses, this study …

Computer Organization And Assembly Language Embedded Firmware Overhaul, Elaine Yun Ru Chan

Honors Theses

The WMU Computer Organization and Assembly Language class has encountered some difficulties in the past several years regarding the procurement of required hardware and software for the curriculum. This has led to a number of challenges for students, including:

• Difficulty in obtaining the necessary hardware and software

• Inability to complete assignments and projects due to hardware or software failures

• Frustration and anxiety caused by the challenges of the course

To address these challenges, a new choice of embedded firmware was researched and developed. This firmware allows for more reliable flashing of the MSP430 Microcontroller and remains reliable on modern operating …

Membership Probabilities Of White Dwarfs In Open Star Clusters, Sarah Phillips

Honors Theses

This thesis explores the relationship between astronomical position data and star cluster membership. Our research project focuses on the mathematical probability of cluster membership for white dwarf stars (WDs), specifically membership candidates within the open cluster Messier 35. Through Gaussian analysis of proper motion data, we examine the membership probability of each candidate. Establishing cluster membership has broad applications and can allow further determination of a star’s characteristics including stellar age and evolution. Of particular interest are two WD member candidates for Messier 35: LAWDS 4, a DB WD with a helium-dominated atmosphere as opposed to the more common hydrogen-dominated …

Evaluating Neutron Star Binding Energies Using Rotating Accreting Models, Nathan Moore

Honors Theses

Neutron star binding energy increases due to accreting matter from neighboring astronomical bodies, and decreases due to the star spinning up, increasing its angular velocity. We present a novel set of models that account for both increasing angular velocity and accreting matter to track a neutron star’s evolution. We arrive at these models through studying and reconfiguring computational investigations from the past, particularly a code which generates a model for a given fixed baryon mass and angular velocity and another that takes it from one baryon mass and angular velocity to the next one through accretion, to obtain a full …

Substituent Effect Analysis On Halogen Bonding Interactions, Summer Hanson

Honors Theses

This study was used to determine the significance of substituents placed on aromatic molecules and how electron-donating groups (EDG) and electron-withdrawing groups (EWG) affect the strength of the halogen bond. Each study involved the same substituents, each differing in electron-withdrawing and electron-donating capability. Five different systems were created on computational software to evaluate the distance between the halogen bond donor and halogen bond acceptor. In two studies, the goal was to find the best electron-donor on the halogen bond acceptor (donor of electron density) while the halogen bond donor remained constant. For one study, the goal was to determine the …

Tracking System Effectiveness For Texas Police Departments In Low-Income Communities, Jakob Scarcelli

Honors Theses

No abstract provided.

Computational Investigation Of Porphyrin-Based Host Design For Anions And Ion Pairs, Symphony Hill

Honors Theses

Little research has heretofore been devoted to studying the binding interactions between porphyrin-based molecular hosts and anions or ion pairs. Such interactions could be important in synthesizing molecules capable of detecting, binding, extracting, and transporting ions of biological, environmental, and industrial significance. With this in mind, computational studies of nine different porphyrin hosts were performed to examine the structural and binding properties of each molecule and potential ion guests. Using the Spartan computational chemistry software, each porphyrin was modeled and binding was tested with a number of ions of different shapes and sizes. Data was then collected regarding the distances …

On The Pursuit Of Developer Happiness: Webcam-Based Eye Tracking And Affect Recognition In The Ide, Tamsin Rogers

Honors Theses

Recent research highlights the viability of webcam-based eye tracking as a low-cost alternative to dedicated remote eye trackers. Simultaneously, research shows the importance of understanding emotions of software developers, where it was found that emotions have significant effects on productivity, code quality, and team dynamics. In this paper, we present our work towards an integrated eye-tracking and affect recognition tool for use during software development. This combined approach could enhance our understanding of software development by combining information about the code developers are looking at, along with the emotions they experience. The presented tool utilizes an unmodified webcam to capture …

The Implementation Of Augmented Reality And Low Latency Protocols In Musical Instrumental Collaborations, Qixiao Zhu

Honors Theses

Past projects involving musical software have been completely virtual, while these software do well in entertainment and education, there is the question of whether these software are playable to the same extent as physical musical instruments. The software presented in this paper, "AR Jam", utilizes various software and hardware tools to form a networked mixed reality system for the users to play music on. The intention of this project is to seek new ways to explore more playable musical instruments in the digital world. The paper presents the software's implementation, challenges such as optimization problems of the synthesizer, and the …

Deposited Cigarette Smoke As A Driver Of Oxidation And Partitioning Processes On Indoor Surfaces, April Hurlock

Honors Theses

Despite the large amount of time that individuals spend indoors during their lives, very little attention was paid to the chemistry that occurs on indoor surfaces until recently. Although not visible to the naked eye, physical and chemical processes, such as partitioning and oxidation, are occurring on virtually every indoor surface in a typical household. Indoor pollutants, ranging from skin oils to environmental cigarette smoke, drive a lot of these processes. The transformation of indoor surfaces by indoor pollutants can increase chemical exposure risks as new irritants or carcinogens can be introduced to the surfaces. In this thesis, I describe …

Graphs, Adjacency Matrices, And Corresponding Functions, Yang Hong

Honors Theses

Stable polynomials, in the context of this research, are two-variable polynomials like $p(z_1,z_2) = 2 - z_1 - z_2$ that are guaranteed to be non-zero if both input variables have an absolute value less than one in the complex plane. Stable polynomials are used in a variety of mathematical fields, thus finding ways to construct stable polynomials is valuable. An important property of these polynomials is whether they have boundary zeros, which are points in the complex plane where the polynomial equals zero and both variables have an absolute value of 1. Overall, it is challenging to find stable polynomials …

Long-Range And Chaotic Active Mixing Of Swimming Microbes In A Vortex Chain Flow, Nghia Le

Honors Theses

We present experiments studying the motion and active mixing of swimming mi- crobes in laminar, vortex-dominated fluid flows. We are testing a theory that predicts the existence of swimming invariant manifolds (SwIMs) - invisible, one-way barriers blocking the paths of self-propelled tracers in the flow in one direction. We also pro- pose that the SwIMs together can form chute structures in three-dimensional phase space that facilitate cross-vortex transport of the microbes. We also observe evidence of how these structures promote long-range transport at different non-dimensional velocities (microbe’s velocity relative to flow velocity). Long-range transport is quan- tified by measuring the …

Selective Melt Recrystallization Of Acetaminophen Polymorphs Through Environmental Control, Eleanor Lowe

Honors Theses

Polymorphism is the ability for a molecule to crystallize into multiple different structures in the solid state. The preparation of one polymorph over another is practically important to pharmaceutical development, as properties of polymorphs can vary and impact the drug delivery method. Polymorph outcomes depend heavily on the environment in which the crystal is nucleated, or initially formed. Acetaminophen, the active ingredient in Tylenol, is one example of a polymorphic compound. Here we use acetaminophen as a model system to better understand primary factors controlling polymorph selection and interconversion. We hypothesize a specific atmospheric environmental factor plays large role in …

Complexities Of Community Consultation In Chile's Lithium Industry, Isabella R. Whelan

Honors Theses

Echoed by November’s COP27 in Egypt, the climate crisis has become an increasingly pressing and global issue, with the need to move away from fossil fuels more urgent than ever. In attempts to decarbonize the global economy, many countries and companies have turned to electrification –particularly within the transportation sector, one of today’s largest contributors of greenhouse gasses. A crucial component of energy storage and batteries is lithium, now considered a “critical mineral.” Demand for lithium has skyrocketed in recent years and is only expected to continue growing. More than fifty percent of the world’s lithium supply is found within …

Finding The Common Denominator: Understanding The Shared Experiences Of Female Math Majors, Abigail R. Rosenbaum

Honors Theses

Despite efforts to increase gender diversity in STEM fields, women remain underrepresented in mathematics, especially in advanced academic and research positions. This study aimed to explore the experiences of female math majors as they attempt to navigate this male-dominated space. Through qualitative interviews with seven female math majors, two female math professors, and a focus group with education majors at Woodbridge College, small liberal arts college in the United States, several common themes were identified that define the experiences of female math majors. The findings suggest that math is held at an elevated status in society and that there is …

Elliptic Curves Over Finite Fields, Christopher S. Calger

Honors Theses

The goal of this thesis is to give an expository report on elliptic curves over finite fields. We begin by giving an overview of the necessary background in algebraic geometry to understand the definition of an elliptic curve. We then explore the general theory of elliptic curves over arbitrary fields, such as the group structure, isogenies, and the endomorphism ring. We then study elliptic curves over finite fields. We focus on the number of F_q-rational solutions, Tate modules, supersingular curves, and applications to elliptic curves over Q. In particular, we approach the topic largely through the use …

Tracing North Atlantic Continental Erosion Events During The Mid-Pleistocene Transition, Cecilia T. Bowe

Honors Theses

The Mid-Pleistocene Transition (MPT), which occurred between 1.2 and 0.7 Mya, is characterized by changes in the periodicity and intensity of glacial-interglacial cycles. Early research into this event found that it was not triggered by changes in orbital forcing, but rather by internal climate processes. Previous studies have constrained a probable two-step mechanism, in which erosion of regolith under ice sheets increased glacial volumes and contributed to increased carbon sequestration in the Southern Ocean. Additional research has built on this, suggesting that increased glacial erosion of cratons surrounding the North Atlantic preceded a major weakening of the Atlantic Meridional Overturning …

Trends In Cyanotoxin Production Potential In China Lake: An Edna Analysis Of Microcystis And Dolichospermum And The Environmental Drivers Of Cyanotoxin Production, Gennifer M. Rubin

Honors Theses

Episodes of cyano-harmful algal blooms (cyano-HABs) are hypothesized to be exacerbated by the effects of climate change. However, the dynamics of the interactions between elements of climate change and toxigenic cyanobacteria proliferation are not well defined. China Lake is the drinking water source for 7 municipalities in the Kennebec County and is one of many lakes in central Maine that has been subjected to high levels of cyano-HABs and microcystin toxin contamination in recent years. Monitoring the toxicity of these blooms in relation to various aspects of climate change may lead to identification of the major drivers of microcystin production …

Detecting High-Lying Rydberg States Using Two-Step Electromagnetically Induced Transparency And Frequency Modulation Spectroscopy Techniques, Kate Jensen

Honors Theses

Resonant optical excitation of high-lying Rydberg states in room temperature 85Rb was investigated using light from two homemade external cavity diode lasers (ECDL). This was done using a ladder schema of the Electromagnetically Induced Transparency (EIT) technique. The approximate EIT wavelengths used were 780 nm (the probe beam) to provide step-wise excitation of valence rubidium electrons from the 5S1/2 → 5P3/2 tran- sition, and then 482 nm (the coupling beam) to excite from the 5P3/2 state to a high-lying Rydberg nD state with an orbital angular momentum = 2. Successful excitation of the Rydberg states was observed using Frequency Modulation …

Analysis Of Laminar Flow Patterns In Milifluidic Devices, Brian Leger

Honors Theses

This research centers around a millifluidic device designed for the analysis of flowing chemical reactions that may happen too quickly to be analyzed by traditional spectroscopic methods. The device works by combining two simple concepts: fluid flows a certain distance over time and chemical reactions progress over time. Combining these allows for the correlation of reaction progress and distance through the device. Since the flow within the device is laminar, there is friction along the walls of the channel that creates a flow profile that elongates over time. The details of the flow were previously unknown but are necessary if …