Physical Sciences and Mathematics Commons^™

Halogenated Helicenes, Richard Wilbert Heiden

Honors Theses

Attempts at synthesizing certain halohelicenes for studies in the following areas are described: 1) the testing of a new method of resolving 2) electron spin resonance (ESR). Since the purpose of the study was twofold, the decision to synthesize monochloro derivatives of hexahelicene was based on the time element and the comparative ease in which these particular compounds were thought to have been brought about (i.e. in direct comparison to polyhalo and higher order helicenes). In addition to the traditional historical, theoretical, and experimental sections, an appendix contained a few suggestions relative to helicene research is included.

Calculations Of Total Energies For Neon Atom, Argon Atom And Neon Ion, Joseph Patrick Minehan

Honors Theses

This work shows that is is very difficult to guess the proper configuration of the spheres for most atoms. This is clearly shown in the argon calculations, where Bent suggested a configuration that would have lowest energy, but it turned out to have the highest energy of those calculated. This shows the need to have a method to give the configuration of the lowest energy that depends very little on human insight.

Synthetic Approaches To Tris (1-B, 8-B'-Naphthyl) Diboron, William Karl Goerich

Honors Theses

The purpose of this project was the synthesis of tris(l-B, 8-B'­naphthyl)diboron. The synthesis route attempted was the preparation of 1,8-dibromonaphthalene from 1,8-diaminonaphthalene by tetrazotization followed by a Sandmeyer reaction, treatment of the dibromo compound with n-butyllithium to give 1,8-dilithionaphthalene and subsequent addition of boron trifluoride to give the product.

Synthesis Of N-Methyl-N-Phenylaminomethyltrimethylsilane And N, N-Dimethylanilinomethyltrimethylsilyl Iodide, Mark Stuart Lichtenstein

Honors Theses

N-Methyl-N-Phenylaminomethyltrimethylsilane (I) has been prepared by heating an ethereal solution of lithium N-Methyl-anilide and chloromethyltrimethylsilane in a sealed flask for two days at 110°. The peak ratios in the NMR spectrum of the product did not correspond to these expected for I but suggested a different product, N-Methyl-N-Trimethylsilylaniline (II). Elemental analysis favored II although it could also be interpreted to support I. The spectra of derivatives, and the substance’s stability to hydrochloric acid were characteristic of I. Tentative identification of ethylene as a by-product, and a small degree of reaction with hydrochloric acid support the presence of II, but only …

Stability Of 1-Substituted Adenines, Walter Frederick Floser

Honors Theses

1-β-Hydroxyethyladenine was prepared by the reaction of ethylene chlorohydrin with adenine at 76° C. It was separated from the reaction mixture by use of a Dowex 50W-X8 cation exchange chromatography column and a linear gradient elution system. I was placed in aqueous alkaline solution for two weeks and checked at different intervals to determine its stability. I was also refluxed in an aqueous alkaline solution for 70 min. and its stability was checked. I proved to be stable under all conditions.

Photochemical Reduction Of Benzophenone By 2-Butyne-L, 4-Diol And Photochemical Solvolysis Reactions Of Beta-Phenethyl Compounds, Kenneth Lawrence Gordon

Honors Theses

The irradiation of a dioxane solution of benzophenone in the presence of 2-butyne-1, 4-diol leads to reduction of the ketone rather than addition across the triple bond of the alkyne. However, great difficulty was encountered in identifying the product due to the formation of an organic complex involving benzopinacol and the dioxane. Nuclear magnetic resonance and ultraviolet spectral data confirm the presence of the complex. An attempt was made to induce a known ground state reaction by photochemical means. This ground state reaction is known to proceed through an ethylene phenonium ion intermediate. Both β-phenethyl bromide and β-phenethyltrimethylammonium tetrafluoroborate were …

Determination Of Ring Orientation In Diphenylmethane And Derivatives, Patrick Michael Comi

Honors Theses

Nuclear Magnetic Resonance Spectrometry, like infrared, visible, and ultraviolet spectrometry is a form of absorption spectrometry. Certain nuclei can absorb electromagnetic radiation in the radiofrequency range. These nuclei are able to absorb this energy because they “spin” about their center axis generating a dipole along it. Protons are among those nuclei that absorb radiofrequency energies. If a proton is placed in a magnetic field its dipole can be in one of two possible orientations. It can be in a low energy state aligned with the field, or a high energy state, a spinning proton will process about an axis at …

An Introduction To And Discussion Of Automata And Sequential Machines, Joseph Philip Seab

Honors Theses

No abstract provided.

A Brief Study Of Topology, Mary Beth Mangrum

Honors Theses

Topology is the study of topological properties of figures -- those properties which do not change under "elastic" motion. It is generally divided into two branches: set topology and algebraic topology. Set topology discusses the nature of a topological space, the properties of sets of points, the definitions of limits and continuity, the special properties of metric spaces, and questions concerning separation and connectedness. Algebraic topology deals with groups which are defined on a space, their structure and invariants.

A Special Studies Paper On The General Mathematics Requirements At Ouachita Baptist University, Linda Gamble

Honors Theses

The object of this paper has been to study the opinions of graduates and present students about the required math hours (presently three hours) at Ouachita Baptist University. It has formerly been my opinion that this may be insufficient math background for many of our students going out seeking jobs. Many times the student, while still in college does not realize he may need more math but it may show up on graduate tests, in his occupational work, or personal matters such as income tax calculations, bookkeeping, or budgeting.

To compile the opinions of students on this subject a form …

A Special Studies Paper On Mathematics In Computer Programing, Linda Gamble

Honors Theses

The profession of programing has existed for two decades or longer. Computer programing and the organization of computer analysis have gone beyond the reach of careful clerks with high school education. There is a growing demand for persons who are competent researchers, experienced in the use of multivariate methods, and skilled as computer users and programers. Mathematics and engineering predominate. The programer should have a knowledge of mathematics and a familiarity with computer hardware and must understand the content of the problem to be solved.

Federal Careers And Opportunities For Mathematicians, Gail Ray

Honors Theses

The purpose of this paper is to research the opportunities for a math major in the Federal Civil Service, and the requirements for positions. Those occupations which require courses only in math are few. However, there are several more which requires a combination of math with some other subject matter.

Those positions requiring only math are: Agricultural marketing specialist, cartographer, equipment specialist, geodesist, and mathematician.

Mathematics On An International Basis, Sandra Lee Sawyer

Honors Theses

Is the math of the United States inferior? In 1967 there was an international study of mathematics comparing twelve different countries: United States, Japan, Australia, Belgium, England, Finland, France, Germany, Israel, The Netherlands, Scotland, and Sweden. Funded in part by the United States Office of Education and five years in the making, the report was based on a test given to 133,000 students in different countries at the age of thirteen and at the end of high school.

Effect Of Trace Metals On Growth Rate Of Algae, Gabriel H. Srouji

Honors Theses

Heavy metals, although only in traces, are essential for all forms of life. They are taken up by the living cell in the form of cations, and their uptake is strictly regulated because most or all of them are toxic in excess. A remarkable specificity has been found: seldom can an excess of one essential metal prevent the damage caused by deficiency of another. In fact, such an excess often increase the injurious effect of deficiency.

Metal-binding substances, many of which function by chelation, form a class of substances which have furnished many useful drugs and other substances of value …

Radar Meteorology, Jerry Thomason

Honors Theses

Radar, an acronym for RAdio Detection And Ranging, has been a great aide to the growth of the knowledge of science, especially for uses in weather research.

The discovery of the nature of radar is thought to have been made by Dr. A. H. Taylor and Leo C. Young of the Naval Research Laboratory when they found that radio waves would bounce back from steel. The military perfected radar for its benefits and gradually improved its technique of usage during the years of World War II. The British had its own version of radar and it is believed that its …

Computer Programming, Gary Rice

Honors Theses

The chief advantage of the digital computer is that it can be instructed to perform complex or repetitive arithmetical operations in a very short period of time. Any sequence of operations which can be fully analyzed can theoretically be done by a computer. The method of instruction takes the form of various precisely defined computer languages. The programs to be discussed here were written in a Fortran language, Fortran being a contraction of Formula Translation. There are at least four variations of Fortran, but the differences are relatively minor. Fortran is basically intended for scientific and engineering purposes. The programs …

Antimatter, Claudia Morgan Griffin

Honors Theses

Very little is known about the mysterious world of antimatter. The idea that such particles could exist was not even proposed until forty years ago. Perhaps the story of the discovery of antimatter began when scientists were trying to unify the Theory of Relativity and the Theory of Quanta. The trouble was that the quantities in the classical wave equation are in the second derivatives. In Schrodinger's wave equation of the Quantum Theory, x, y, and z are second derivatives, but i is a first derivative.

Following Einstein's basic ideas, H. Minkowski proposed the concept of a four-dimensional time-space continuum …

The Evolution And Application Of Pi, Carolyn Rhodes

Honors Theses

There is no part of the arithmetic that deals with approximations that is more interesting than that which seeks to find the ratio of the circumference of a circle to its diameter. This ratio has been studied from both a practical and a theoretical standpoint. Under the name "quadrature of the circle" it occupied mathematicians for many thousands of years, beginning with the Bible and extending to the twentieth century.