Physical Sciences and Mathematics Commons^™

Root Cover Pebbling On Graphs, Claire A. Sonneborn

Honors Theses

Consider a graph, G, with pebbles on its vertices. A pebbling move is defined to be the removal of two pebbles from one vertex and the addition of one pebble to an adjacent vertex. The cover pebbling number of a graph, γ(G), is the minimum number of pebbles such that, given any configuration of γ(G) pebbles on the vertices of G, pebbling moves can be used to place one pebble on each vertex of G. We define the root vertex of a graph and fix an initial configuration of pebbles on G where we place all pebbles on the root …

Kinetic Characterization Of B-Carotene In N-Hexane At Various Oxygen Concentrations, Katelyn Mary Arnold

Honors Theses

We have characterized the photo – degradation of ẞC in oxygenated and deoxygenated n–hexane solvent and in the solid phase using broadband (BB; λ ≥ 200 nm) and 313 nm filtered output of a 100 W Hg Arc lamp. Oxygen concentrations of 0, 10, 20, and 100% were used in the solution phase studies. ẞC(s) did not photo – degrade upon exposure to BB light under air atmospheres; the mass and appearance of the samples, TLC chromatograms, and the absorption spectra were all identical pre- and post-irradiation. In the solution phase, the order of the photo – degradation with respect …

Chitinozoan Biodiversity In The Ordovician Of Gondwana: An Interval-Free Approach Using The Quantitative Stratigraphic Correlation Program Conop9, Rachel Sales

Honors Theses

The purpose of this study is to examine the biodiversity patterns of a group of fossil organisms called chitinozoans. Chitinozoans are organic-walled, planktonic microfossils that first appear in the Early Ordovician Period (488 million years ago) and diversify rapidly through the Paleozoic Era. The Ordovician Period was a time of great global climate change, and by studying this group of fossil plankton, we hope to better understand how modern plankton, which are the base of the marine food chain, might respond to climate change. We used a method called constrained optimization (CONOP9) to construct a composite range chart of 152 …

Suspension Electrospinning Carbon Nanotube Doped Poly (Vinyl Alcohol) Nanowires, Ryan Hensleigh

Honors Theses

The synthesis, characterization and application of carbon nanotubes (CNTs) have received substantial attention in recent years, particularly in the field of polymer nanomaterial composites (PNCs). CNTs possess impressive thermal, electrical and mechanical properties, and PNCs incorporating them have shown multitude increases in these same properties with relatively low percolation thresholds [1]. Electrospinning is an effective and tunable materials synthesis platform for the manufacture of micro and nanofibers that has shown particular promise in the fields of carbon nanotube PNC processing due to the favorable isotropic alignment CNTs undergo due to the electrospinning process [2]. CNT alignment has been shown to …

Scattering Of Motion On A Half-Infinite Quantum Graph Tube, Jeremy Tillay

Honors Theses

No abstract provided.

An Investigation Of Renewable Energy Projects And Their Potential Applications At Assumption College: Wind Turbines And Geothermal Heat Pumps, Melanie Mccauley

Honors Theses

This thesis researches the possibility of a renewable energy project specifically for Assumption College. As the school is already investing in solar power, my study looked at the feasibility of a wind turbine or geothermal heat pump unit on the campus. I conducted interviews with various institutions that have already undertaken similar projects so that I could better understand the process of installing these technologies, to discover possible funding that could be available, and the success of this technology in other schools. The economic advantages and the positive impacts on students and the neighboring communities were some of the benefits …

Construction And Optimization Of A Tapered Amplifier System For Applications In Ultra-Cold Plasma Research, Ryan Cole

Honors Theses

The number density of cold atoms confined in a magneto-optical trap (MOT) is critically dependent on the intensity of the lasers used to cool the sample. To generate large optical powers while retaining the practicality of homemade external cavity diode lasers (ECDLs), a tapered amplifier (TA) system was designed and constructed to amplify the output of an existing 780 nm, continuous-wave ECDL. The amplifier’s performance is discussed in terms of its gain and power output. Under standard operating conditions, optical amplification of 12 dB is achieved, with a maximum power output of 0.75 W. The completed amplifier is installed into …

The Central Hankel Transform, Matthew J. Levine

Honors Theses

This honors thesis presents the Hankel transform on an integer sequence, a function with colorful mathematical history and rich theoretical background. We then introduce a matricial Toeplitz transform that parallels some of most famous qualities of the Hankel transform, especially when in consideration of popular sequences like the Fibonacci numbers. The result is a characterization of the injectivity of this new function, a description of some of its interesting behaviors, and a discussion of a few new Fibonacci identities.

Mathematical Modeling Of Emiliania Huxleyi And A Host-Specific Virus, Julia Middleton

Honors Theses

The world’s oceans provide the basis for life on the planet. One microscopic algae, the coccolithophores, and Emiliania huxleyi in particular, is a major source of carbon drawdown in the context of the global carbon cycle and account for a significant amount of the primary production in oceanic ecosystems. We know that the oceans are packed with marine viruses and they have an important role in the rise and fall of plankton populations but current mathematical models do not accurately account for virus-host interactions when predicting plankton blooms. Therefore I am using model optimization and comparison techniques to evaluate current …

Experimental And Computational Investigation Of Selected Β-Hydroxy Carbenes, Joseph D. Deangelo

Honors Theses

The photolytic precursor to the sterically hindered β-bis(tert)-butanol carbene, 3-(1a,9b-dihydro-1H-cyclopropa[l]phenanthren-1-yl)-2,2,4,4-tetramethylpentan-3-ol was prepared in three steps from phenanthrene. Photolysis of the precursor generates the desired β-hydroxy carbene, an intermediate, which subsequently rearranges into two different observed products from an intramolecular C-H insertion and alkyl shift. Four intramolecular mechanisms were ultimately considered to account for the possible rearrangement pathways. Computational studies using density functional theory are also presented.

In addition, the photolytic precursors to two cyclic β-hydroxy carbenes, 1-(1a,9b-dihydro-1H-cyclopropa[l]phenanthren-1-yl)cyclopropan-1-ol and 1-(1a,9b-dihydro-1H-cyclopropa[l]phenanthren-1-yl)cyclobutan-1-ol, were also prepared through different synthetic routes from phenanthrene. …

Generation Of 2-Adamantylidenecarbene From A Phenanthrene-Based Precursor, Christine E. Wamsley

Honors Theses

This thesis examines the generation of 2-adamantylidenecarbene from a phenanthrene-based precursor. A three-step synthetic procedure was used to generate the 2-adamantylidenecarbene precursor, which subsequently underwent photolysis to produce 2-adamantylidenecarbene. This product was trapped with cyclohexene. No evidence of a ring expansion to 4-homoadamantyne was observed. It was also noted that the target precursor underwent rearrangement during photolysis, leading to the formation of an isomer containing a seven-membered ring. This isomer did not photolyze. Additionally, computational studies were performed using Gaussian 09. Geometries were initially optimized and then, the single point energies of the singlet and triplet carbene states were calculated. …

Cost Effectiveness Of Renewable Energy Policy On Military Installations, Zachary L. Esakof

Honors Theses

In 2007, the United States government issued the National Defense Authorization Act, and Section 2852 mandates that the Department of Defense (DoD) meets 25% of its energy needs from renewable sources by 2025. This paper investigates the production decisions that the DoD faces when increasing its share of renewable energy to meet this objective. A linear programming model is created to solve for the cost-effective renewable energy portfolio mix for each military base to meet its production target of renewable energy. The renewable sources utilized in each base’s energy portfolio include solar, wind, geothermal, and renewably-sourced energy from the grid, …

Assessing The Carbon Impacts Of Colby College’S Biomass Plant, Alice Hotopp

Honors Theses

Biomass energy plants are considered to be carbon neutral systems under some definitions. However, this concept of carbon neutrality needs to be rethought in order to understand the true carbon impact of biomass plants upon global climate change. A biomass plant’s wood source, the extent to which the biomass plant emits carbon dioxide, and the timescale over which the biomass plant emits carbon should all be taken into account. In this study, I consider the Colby College biomass plant’s role in carbon cycling. Colby’s Physical Plant Department provided me with information on how much carbon (tons of woodchips) is used …

Nurturing Environmental Literacy At Colby College: Higher Education And The Environmental Crisis, Molly Nash

Honors Theses

The environmental crisis will affect all people, career paths, and academic disciplines. Acknowledging this, does higher education have an obligation to educate all students for environmental literacy (EL)? This study reviews literature on how to effectively assess and implement EL initiatives and highlights how other colleges successfully nurture EL in all students. This study also uses quantitative and qualitative survey measures to understand student levels of EL at Colby College and to highlight specific programming or curriculum that leads to high EL levels in students. Findings include significantly different EL scores between environmental studies student respondents and respondents in all …

Quantization Of Analysis, Kelvin K. Lui

Honors Theses

In quantum mechanics the replacement of complex vectors with operators is essential to “quantizing” space. Nonetheless, in many physics textbooks there is no justification for this action. Therefore in this thesis I will attempt to understand the mathematical formalism that allows for such a “replacement” to be rigorous. I will approach this topic by first defining a vector spaces and its dual space, a Hilbert space and a conjugate Hilbert space, and an operator space. Next, I will look at the algebraic tensor product of two vector spaces, two Hilbert spaces, and finally two operator spaces. Ultimately we will look …

Natural Language Processing For Foreign Language Learning, Jacob Kausler

Honors Theses

This research presents novel algorithms which generate sentences in a natural language, using natural language generation techniques. The purpose of the algorithms is to benefit foreign language learning. As far as we can tell, ours is the first such research being done in the field. In creating the algorithms, we also developed a piece of software to showcase the work and allow testing by users. The main algorithm begins by generating sentence models by using one of two methods, namely modeled sentence generation and semantic sentence generation. Each of these have benefits and drawbacks, which the user must take into …

Hydroxyl Number Determination Of Dendritic Polyols Utilizing Nir Spectroscopy, Seth Stacey

Honors Theses

The goal of this project was to investigate the use of NIR-spectroscopy to quantify the number of OH functional groups attached to poly(amido amine) or PAMAM dendrimers in a manner that is quick, cost effective and easily reproducible. Obtaining the approximate number of hydroxyl functional groups (OH#) in a dendrimer is crucial in determining what role it can play in bonding and reactivity to other molecules. NIR-spectroscopy has the potential to allow for the recovery of the sample or at least to minimize the amount needed for analysis while providing an accurate determination of the OH# of a dendrimer.

An Ion Detector For The Array For Nuclear Astrophysics And Structure With Exotic Nuclei (Anasen), Cedric Williams, K Macon, C M. Deibel, J C. Blackmon

Honors Theses

No abstract provided.

A Computational Investigation Of Halogen Bonding With Halomethanes And Their Group 14 Analogues, William Kretz

Honors Theses

It is known that halogen bonding is supported by so-called sigma holes on halides that interact with bases, but what are the limits of that interaction? How does the interaction depend on the group to which the halogen atom is bonded? To answer these questions, complexes of the form MH3X---Y (where M=C, Si, Ge, Sn, Pb; X= F, Cl, Br, I and Y are Lewis bases) were optimized and their energetics and relative stability were assessed. The Lewis bases range from NH3 to the more complicated pentafluroropyridine (F-py). Calculations were performed entirely at the MP2(full) level of theory, including frequency …

The Application Of Formyl Group Activation Of Brompyrrole Esters To A Formal Synthesis Of Lycogarubin C, Jon Patteson

Honors Theses

Lycogarubln C is a member of an interesting family of marine natural products, which contains two indole groups appended to a pyrrole scaffold at the 3 and 4 positions. Such compounds are proposed to be biosynthetically related to the important antitumor agent, Staurosporine. Recent work in our lab involving the use of Suzuki cross-coupling reactions of an ortho activated bromoformylpyrrole ester has provided key intermediates for the synthesis of pyrrole natural products and pyrolle-based analogues.

Estimating The Number Of Components Of A Spatial—Em Algorithm: An R Package, Aishat O. Aloba

Honors Theses

The Expectation Maximization algorithm also known as the EM algorithm is an algorithm used to solve the maximum likelihood parameter estimation problem. This problem arises when some of the data involved are missing or incomplete, hence it becomes difficult to know the parameters of the underlying distribution. The EM algorithm mainly comprises of two steps; the E—Step, and the M—Step. In the E—Step, estimated parameter values are used as true values to calculate the maximum likelihood estimate, and in the M—Step, the maximum likelihood calculated is used to estimate the parameters. The E—Step and M—Step iterate through until a specified …

Breastfeeding: Physiological And Cultural Influences, Alison R. Cegielski

Honors Theses

Within a biological perspective, breasts are indisputably for the use of nourishment of the young. This can be seen by how mammary glands are used by every other species other than humans. Humans are the only species that also looks at breasts within a cultural perspective, and that perspective is where the debate of breastfeeding occurs. There is really no debate that if given the option to breastfeed, breastfeeding is the best choice for the development of infants due to the fact that breast milk has been adapted for the human physique. In spite of the health benefits associated with …

Effects Of Synthetic Blood Plasma On Calcium Dependent Dimerization Of Ncad12, Brent Treadway

Honors Theses

Neural Cadherin (NCAD) is one of three Type 1 vertebral classical cadherins that function as the primary transmembrane component in cell-to-cell interactions at adherens junctions. Adhesive interactions mediated by this protein are calcium dependent with three calcium-binding sites between each of its five extracellular domains. NCAD is very important in many cell-to-cell interactions because of its function in development and in immune and neurological synapses. Generally, in vitro studies of calcium dependent dimerization of NCAD are conducted in a nonphysiological buffer (NaCl + HEPES: SEC buffer). In order to study dimerization in more physiologically relevant conditions, I created a synthetic …

A Study Of The Impact Of Ph On The Structure And Stability Of Epithelial Cadherin, Catherine Abadie

Honors Theses

Epithelial (E-) cadherin is a transmembrane protein whose function lies in cell-to-cell adhesion. It is a transmembrane component of adherens junctions of epithelial tissues, thereby connecting the actin cytoskeletons of adhered cells. It has five extracellular domains, a small transmembrane portion, and a cytoplasmic tail. The molecule must bind calcium in order to form an adhesive dimer with a cadherin molecule emanating from an adjacent cell. Cancer of the epithelial tissue, carcinoma, is accompanied by acidification of the tissue and a loss in cell adhesion. The long-term goal of this project is to determine the effect of a decrease in …

An Investigation Into The Synthesis Of A Four-Armed Diamino Swallowtail, Christopher Carter Barnett

Honors Theses

Perylenebisimides (PBIs) complex with quadruplex DNA and may influence the formation of telomeres. PBIs with amine groups are ionized at neutral pH and therefore soluble in water [1]. Swallowtails are long alkyl chains usually attached to PBIs to inhibit self-aggregation by pi-stacking [2]. Past attempts to create a PBI with swallowtails containing extra nitrogens were unsuccessful due to purification issues and methylene connectors. The purpose of this research is to investigate the synthesis of a diamino swallowtail with a methine connector. The first step is to create 1,3-bis(dibenzylamino)propan-2-one by way of an SN2 substitution reaction using 1,3-dichloroacetone and dibenzylamine [3]. …

Visualization Techniques Of Shear Wave Propagation In Wormlike Micellar Fluid, Connor M. Tierney

Honors Theses

In an aqueous solution amphiphilic molecules can self-aggregate and form a wormlike micellar fluid. These non-Newtonian fluids have been studied in the context of diagnostic medical imaging due to the fact that the fluids have viscoelastic properties and can act as a nonperishable model for human tissue. They also display flow-birefringence, which is a property that allows for the analysis of shear wave propagation through the fluid. However, one issue encountered at lower micelle concentrations is the inability to see the emergent birefringence pattern that results from shear wave propagation. In this study Experiment 1 was an analysis of shear …

An Investigation Of Protein-Dna Binding Characteristics By Fluorescence Anisotropy, Danna Nobile

Honors Theses

Recent studies have illustrated the presence of several secondary, non-B DNA structures that are associated with the promoter regions of several oncogenes, such as the intensely studied MYC gene. Two such secondary structures, G-quadruplexes and i-Motifs, have become topics of interest due to their prevalence within oncogenic promoters and their potential accessibility for future drug targeting due to their globular natures. Though fairly extensive research has been conducted to understand different factors affecting G-quadruplex formation and stability, similar studies for i-Motifs, particularly related to thermodynamics, are still evolving. One factor known to contribute to the additional energy required for duplex …

Modelling Global Climate Variables With Cellular Automata Networks, David Robinson

Honors Theses

Cellular automata are discrete models that can be used to simulate many physical systems. Cellular automata have been used to model gas diffusion, different types of chemical reactions, population growth, and land use change over time. Recent research into cellular automata networks has shown that if sparse long range connections are added to a cellular automata, then it will exhibit properties of complex networks. Furthermore, research into modeling climate systems has shown that modeling the global climate as a complex network can be used to predict individual climate variables. In this work we attempt to connect these ideas by simulating …

Comparison Of The Spatial Distributions Of Cavitation Damage With The Measured Diffraction Patterns For A High-Power Ultrasonic Transducer, Davis Lane Rogers

Honors Theses

The purpose of this study was to evaluate the performance of a model of the propagation of ultrasonic fields produced by an ultrasonic transducer, a device that uses a piezoelectric crystal to produce high-intensity ultrasonic waves. The transducer operates immersed in a water bath where it generates waves of sufficient intensity to produce non-linear phenomena that include acoustic streaming and cavitation. This study used a planar transducer to visualize the damaging effects of high-intensity ultrasonic waves targeted on acrylic plates. Seven plates were targeted and positioned from 8.5 to 11.5 cm from the transducer. The spatial distribution and degree of …

A Visualization Tool For Survey Responses And A Unifying Interface Redesign, Iva Cramer

Honors Theses

As an intern for financial software company FNC, Inc. during the summer of 2014, my fellow interns and I began an innovation project for creating and analyzing surveys for better client feedback methods. I have continued this project even after the internship, and this thesis covers that continuation: the visualization of survey responses and the redesign of the page on which they are contained. The project detailed here was to revamp the survey statistics page with a coherent layout that matches the rest of the site in addition to overhauling the actual graphs and charts for aesthetic and accuracy.