Physical Sciences and Mathematics Commons^™

Models For Molecular Vibration, Allan Bruce Capps

Masters Theses

“The purpose of the investigation is to determine if a classical model can be used to characterize molecular vibrational and librational (restricted rotation) frequencies. In general, the model treats a molecule as asymmetrical and rigid and simulates the intermolecular forces by springs along the bonds. Molecules constrained to a plane and molecules free to move in three dimensions are analyzed. The frequencies of water molecules are investigated, in particular. The model and analytic components are found to function well. Within the limits set for the model, the water molecule simulation is not successful as the motion becomes anharmonic for energy …

Interpretation Of Imagery Lineations, Logan Creek Area, Southeast Missouri, Gregory Paul Smith

Masters Theses

"Depletion of ore in Missouri's old lead districts and the opening of the state's new lead district adds impetus to understanding and delineating geologic structure in and adjacent to the new lead district. Image and geomorphic analysis, hydrologic data, and subsurface structural contour mapping are used in interpretation of geologic structure in Dent, Shannon, Reynolds, and Carter counties, Missouri. Unlike the time consuming surface geologic mapping, the modes of investigation used in this study enabled the writer to make a larger, regional-scale study with results comparable to those attainable by surface mapping. The area is covered by thick residual soils …

Film Formation On Anodically Polarized Lead, H. Vaidyanathan, Ram A. Narasagoudar, Thomas J. O'Keefe, William Joseph James, James W. Johnson

Materials Science and Engineering Faculty Research & Creative Works

No abstract provided.

Structural Strain In Small Prenucleation Water Clusters, Donald E. Hagen

Physics Faculty Research & Creative Works

A method is developed for incorporating strain energy into a microphysical treatment of small prenucleation water clusters. The molecules are arranged in a clathrate-cage structure, and this structure is allowed to relax to minimize the strain energy resulting from hydrogen bond stretching and bending. The method is applied to various cluster sizes up to 130 molecules and the results are compared with the classical liquid drop model. The effect of anharmonic terms in the interaction is included.

On The Lambda Transition In Solid Orthohydrogen, Harry A. Brown

Physics Faculty Research & Creative Works

No abstract provided.

Charge Transfer Between O Ions And O2 Molecules In The Ground State And Singlet Delta Excited State, R. F. Mathis, William R. Snow

Physics Faculty Research & Creative Works

A crossed-beam apparatus has been used to study charge transfer between O- ions and O2 molecules in the ground state and in the metastable, singlet delta, excited state. The energy of the incident ions ranged from 10 to 10000 eV. The cross section for charge transfer between O - and ground state O2 was found to have a maximum of 7.8X10-16 cm2 at about 5 keV. At the lower energies there is good agreement with the previous measurements of Snow et al. and Rutherford and Turner who also used crossed beam techniques. The cross section for charge transfer between O- …

Bayesian Confidence Limits For The Reliability Of Mixed Cascade And Parallel Independent Exponential Subsystems, James K. Byers, Ronald W. Skeith, Melvin D. Springer

Computer Science Faculty Research & Creative Works

This paper deals with the theoretical problem of deriving Bayesian confidence intervals for the reliability of a system consisting of both cascade and parallel subsystems where each subsystem is independent and has an exponential failure probability density function (pdf). This approach is applicable when test data are available for each individual subsystem and not for the entire system. The Mellin integral transform is used to analyze the system in a step-by-step procedure until the posterior pdf of the system reliability is obtained. The posterior cumulative distribution function is then obtained in the usual manner by integrating the pdf, which serves …

The Effect Of Surface Impurities On The Thermal Accommodation Of Rare Gases On A Tungsten Surface, D. Vincent Roach, Louis Biolsi, Robert E. Harris

Chemistry Faculty Research & Creative Works

A Rather Comprehensive Experimental Examination of the Effect of Surface Impurities (Potassium and Cesium) on the Thermal Accommodation of Rare Gases on a Tungsten Surface Has Been Made by Roach and Thomas. the Present Work Examines These Effects from a Theoretical Viewpoint with Particular Emphasis on the Effect on the Thermal Accommodation of Helium on a Tungsten Surface Caused by the Adsorption of Cesium Ions And/or Atoms. for This Examination, the Theory of Allen and Feuer Has Been Utilized using Reasonable Values of the Interaction Parameters for Helium with the Adsorbate as Well as the Force Constant for the Adsorbate-Substrate …

Effects Of Surfactants On Atomic Absorption Analysis Of Dilute Aqueous Copper And Nickel Solutions, Raymond L. Venable, Robert V. Ballad

Chemistry Faculty Research & Creative Works

No abstract provided.

On Interaction In The Two-Way Aov Model Without Replication Including Power Comparisons Of Two Tests For Non-Additivity, Victor John Hegemann

Doctoral Dissertations

"Data analysts have long been concerned with the problem of giving a complete analysis of the two-way crossed classification design with one observation per cell when interaction is present in the data. Conventional tests of hypotheses and statistical inferences are not applicable in this case since an estimate of the error variance is not available. Transformation of the data to additive data has been one solution to this problem; however, interpretation of the physical units of the transformed data is difficult. Recent contributions to the analysis of this design include a test for interaction, a test for testing differences in …

Evaluation Of Model For The Contributin Of Phonon-Induced Tunneling To Donor Esr Spectral Narrowing In Germanium, David L. Meier, William F. Parks, Edward Boyd Hale

Physics Faculty Research & Creative Works

The model commonly assumed to explain the narrowing of the ESR spectra of donor impurities in germanium is examined in detail. This model combines the Anderson line-narrowing theory with the Miller and Abrahams theory for the phonon-induced tunneling (hopping) of an electron between impurities. The predictions of this model are found to be in drastic disagreement with experimental results now available. It is shown that the narrowed linewidth should depend strongly on donor concentration, acceptor concentration, and temperature. Future spin-resonance experiments in highly compensated samples may show the effects of hopping, but no evidence now exists which indicates that hopping …

Charge Transfer Between H ˉIons And O₂ Molecules And D ˉIons And O₂ Molecules In The Ground State., Paul Edgar Chaplin

Masters Theses

"This thesis has been prepared in the style utilized by the Physical Review A. Pages 1-17 will be presented for publication in that journal. Appendices I, II, III, and IV have been added for purposes normal to thesis writing"-- Abstract, p. ii

An Algorithm For Minimizing The Riding Time Of Students On School Buses., Dennis Ray Morgan

Masters Theses

"This thesis presents an algorithm which selects from a given set of stops a subset of stops corresponding to a given bus which minimize the riding time of students in going to and from school. The time required in picking up students at their stops and delivering them to school is analyzed. An example is given which illustrates the formulation of a problem and the results obtained from the solution. Finally, the program which was used in the solution of the problem is given along with its implementation"-- Abstract, p. ii

Comparison Of Scatter Storage Techniques Using An Analysis Of Variance Model, Robert Lee Kitsch

Masters Theses

"An analysis of variance model is developed to determine if a significant difference exists between various scatter storage techniques. The model is a two-factor hierarchical mixed design with each combination of transformation and search method considered as a treatment. The data used in the analysis is obtained from a computer program which provides statistics on the number of probes needed to load the (k+l)st item into a table for the different treatments. An ANOVA table was then computed for various load factors.

A significant difference among the treatments was detected for load factors above .4. Comparison of individual treatments using …

Metal Salt Catalyzed Carbenoids The Catalysts In Trialkyl Phosphite Copper (I) Complex Catalyzed Decomposition Of Diazo Compounds, Nguyen Van Thinh

Masters Theses

"Partial rate data, asymmetric induction studies, interrupted experiments and additives studies indicate that copper(I) salt-phosphite complexes are destroyed during the course of reactions with dimethyl diazomalonate (1) and ethyl diazoacetate (2). All evidence is consistent with the copper(I) being oxidized to copper(II) and copper(0) being oxidized by impurities in the olefin which most probably are hydroperoxides.

Several new copper(I) salt-phosphite complexes were prepared and examined but none proved as effective for decomposing (1) as copper(II) bis acetylacetonate.

The utility of the copper (I) chloride-trimethyl phosphite complex for decomposing (1) is a function of the means of preparation. The three general …

A Kinetic Study Of The Cerium (Iv)-Oxalic Acid System In Acidic Sulfate Media., Robert Richard Kessler

Masters Theses

"The kinetics of the cerium (IV) oxidation of oxalic acid was studied by a stopped-flow spectrophotometric technique in acidic sulfate media. The media consisted of perchloric acid, sodium sulfate and sodium perchlorate which allowed for the determination and control of the various sulfate and hydroxo species of cerium (IV) at prescribed hydrogen ion concentrations. The rate of reaction decreases rapidly with increasing sulfate concentration which yields evidence against previous reports indicating Ce (SO₄)₂ and Ce (SO₄)^2-₃ as the reactive cerium (IV) species. The results indicate that Ce (SO₄)²⁺ is the …

A Computational Method For Determining The Growth Rates Of Saline Water Drops., Robert Alexander Fletcher

Masters Theses

"A phenomenologica1 theory is presented which describes the growth or evaporation of cloud droplets containing dissolved NaCl. The main interest is in the early stages of growth. The Maxwell-Fuchs equation is employed with refinements to account for the high sa1t concentration in small droplets. A computer program is presented that ca1culates the growth time as a function of radius for cloud droplets nucleated with NaCl.

The growth times obtainable from the Maxwe11-Fuchs equation differ significantly from the growth times ca1culated using the refined Maxwell-Fuche equation for ambient relative humidities less than or equal to 100%. Growth times for droplets nucleated …

An Analysis Of The Bourbeuse River As A Source Of Concrete Aggregate., David John Lexa

Masters Theses

"This thesis represents a study made to evaluate the sand and gravel deposits of the Bourbeuse River as a source of concrete aggregate. The Meramec River has long been a major source of aggregate in Missouri; however, proposed dam construction will limit the quantity available for exploitation. The Bourbeuse River, a tributary of the Meramec, was chosen for evaluation as an alternate source.

The study was conducted in two parts: an estimation of available quantity; a determination of the quality of the material. Quantity of material was estimated through an analysis of drill logs, correlated with the results of basic …

Mechanism Of Solvolysis Of 3-Methyl-2-Butyl Brosylates., Luu Le Nghi

Masters Theses

"The brosylates of 3-methyl-2-butanol and it's a-d₁-, ß-d₁-, B-d₃-, and S-d₄- analogs have been synthesized. The solvolytic rate data for these compounds were determined. The solvolytic products in 70% (vol.) ethanol-water have been identified by flame ionization gas chromatography using a Carbowax 20M column. The amount of each product was measured by integrating the peak areas from the chromatograms. By analyzing the isotope effect data, the rate determining step is shown to be the formation of the hydrogen bridged ion pair intermediate. By evaluating the GC-mass spectral analysis of the isopentenes, a …

Cross Sections For Photoionization Of The 6²P-Fine Structure Levels Of Cesium, John Daniel Jones

Doctoral Dissertations

"The cross sections for photoionization of excited cesium from the 6²P_3/2- and 6²P_1/2-fine structure levels have been measured using a triple crossed-beam apparatus. Two photon beams, one for excitation and one for ionization, impinge upon an atomic beam and produce ions at the point of intersection. The relative cross section is determined from a knowledge of the ion count rate and the relative photon flux of the ionization light. The results are normalized to available theoretical calculations and compared with recombination measurements in cesium plasmas. The present cross sections are found to decrease with …

Kinetic And Thermodynamic Acidities Of Selected Weakly Acidic Hydrocarbons, Darrell R. Strait

Doctoral Dissertations

"The kinetic and thermodynamic acidities in methanol for bromoform and phenylacetylene have been determined at various temperatures. The thermodynamic acidities of phenylacetylene were obtained through a quench method which involved tritium tagging of the phenylacetylene anions present at equilibrium. With the use of this method, a pK_a of 18.34 for phenylacetylene at 0ºC was obtained. Through the use of these acidities, it was shown that the kinetics for these proton exchange processes are not diffusion controlled.

Isotope effects ( k_H/ k_D) were obtained for chloroform, bromoform and phenylacetylene at three temperatures (0ºC, -10ºC and -20ºC). …

On Integrability And L¹ Convergence Of Certain Cosine Sums, John William Garrett

Doctoral Dissertations

"Rees and Stanojevic altered the standard cosine series and obtained a necessary and sufficient condition for integrability of the altered sum. Here these sums are generalized, and it is shown that such sums converge in L¹-norm"--Abstract, page iv.

A Study Of The Subsurface Stratigraphy Of The Upper Cambrian In Western Missouri, Joseph L. Thacker Jr.

Masters Theses

"Megascopic examination of diamond-drill cores supplemented by insoluble residue data provides a usable means of studying the lithologic characteristic of Upper Cambrian strata in the subsurface of western Missouri.

The stratigraphic relationships within each Cambrian formation and the relationships of each Cambrian unit to formations above and below are discussed.

The relationship of Upper Cambrian strata to the Precambrian surface in western Missouri and easternmost Kansas is illustrated. The Lamotte Sandstone is overlapped by the Reagan Sandstone against Precambrian topographic highs and the Bonneterre and lower Davis are replaced by sandstones similar to the Reagan in southwest Missouri and southeast …

Linear Geometry, Phyllis L. Thomas

Masters Theses

"This paper contains material suitable for a one semester course in linear geometry where the student has had a one semester course in linear algebra previously. It compiles information in the areas of affine sets, affine geometry, convex sets, and a few applications. Also included are Caratheodory's theorem and the well-known theorem by Helly as proved by Radon"--Abstract, page ii.

Methods And Applications Of The Mean-Variance Portfolio Selection Model, John W. Marsh

Doctoral Dissertations

"The Mean-Variance portfolio selection model, or Efficient Market model, is examined in terms of the small investor. The performance is first tested on the small sample space of the thirty Dow Jones Industrials. The results show that it is possible to outperform the market by investing in the minimum-variance, or safest, portfolio. The Critical-Line algorithm as developed by Markowitz and modified by Sharpe is used in this analysis.

Since the Critical-Line algorithm is very time-consuming and does not always converge to a solution, an alternate algorithm is developed. This algorithm, referred to as the “Simplified Algorithm”, is designed to find …

Dispersion Curves For Surface Electromagnetic Waves With Damping, Ralph William Alexander, G. S. Kovener, Robert John Bell

Physics Faculty Research & Creative Works

The Recent Observation of Back bending in the Dispersion Curves of Surface Plasmons on Silver Can Be Explained by Use of Fresnel's Equations. in the Presence of Damping, the Results of Attenuated-Total-Reflection Measurements Can Be Displayed as Dispersion Curves Either with or Without Back bending. the Measurements for Silver with Back Bending Are Expected for Experiments in Which the Frequency is Fixed, and the Propagation Constant (Or Angle of Incidence) is Swept. © 1974 the American Physical Society.

Optical Pumping In A Flowing Helium Afterglow With Additive Metal Impurity Atoms, Laird D. Schearer

Physics Faculty Research & Creative Works

It is demonstrated that in a Penning collision of optically oriented metastable helium atoms with an impurity metal atom such as barium, both the longitudinal and transverse components of spin angular momentum are conserved. This results in a polarization of the ion which may be detected by optical emission in the case of excited ion levels or absorption for the ground states. A series of experiments is described which demonstrates the spin dependence of the Penning-collision process. The magnetic resonance of excited-state ions may be observed directly; from the resonance-linewidth radiative lifetimes may be measured. © 1974 The American Physical …

Fresnel Drag In Uniformly Moving Media, William F. Parks, J. T. Dowell

Physics Faculty Research & Creative Works

A general first-order formula is derived for the Fresnel-drag effect in a uniformly moving medium with a plane surface. The two classical equations due to Lorentz and Laub are shown to be special cases corresponding to different experimental arrangements. The recent experiment of Bilger and Zavodny on Fresnel drag in a ring laser is discussed. © 1974 The American Physical Society.

Measurements Of The Average Electric Dipole Polarizabilities Of The Alkali Dimers, Robert W. Molof, Thomas M. Miller, Henry L. Schwartz, Benjamin Bederson, John T. Park

Physics Faculty Research & Creative Works

The average electric dipole polarizabilities of the homonuclear alkali dimers have been measured in an electric deflection experiment. The molecular results are normalized to the corresponding atomic polarizabilities by comparing deflections of atomic and molecular alkali beams passing through an inhomogenous electrostatic field. The average polarizabilities in units of 10-24 cm3 are: Li2(990°K), 34±3; Na2(736°K), 30±3; K2(569°K), 61±5; Rb2(534°K), 68±7; Cs2(515°K), 91±7. Copyright © 1974 American Institute of Physics.

Metal Salt Catalyzed Carbenoids Ii, Robert Stephen Mcdaniel Jr.

Doctoral Dissertations

"The interaction of diazomalonic esters with olefins in the presence of homogeneous Cu(II) catalyst species has been examined relating to olefin structure effects and catalyst structure effects using partial rate data as a method of determining the mechanistic aspects of the various reactions.

It has been possible to examine the mechanistic details of cyclopropanation, C-H insertion, and both "dimer" forming reactions.

Cyclopropanation proceeds via a transition state including olefin, copper (II), ligands, and carbene C-H insertion results from hydrogen abstraction prior to collapse of the transition state. "Dimer" is formed by the attack of diazo compound on the carbenoid carbon, …