Physical Sciences and Mathematics Commons^™

New Superconvergent Dispersion Relations For The Forward Πn Crossing-Even Amplitude, David J. George, Barbara N. Hale, Arnold Tubis

Physics Faculty Research & Creative Works

A Liu-Okubo-type dispersion relation is derived for the crossing-even pion-nucleon forward elastic scattering amplitude T⁽⁺⁾. Two subtractions are made, one at the physical scattering threshold and the other at a previously determined zero of T⁽⁺⁾ on the imaginary axis of the complex ω (pion lab energy) plane. The dispersion relation is well satisfied over the whole allowed range of the Liu-Okubo parameter. Moreover, it is nearly saturated by low-energy scattering for a considerable range of the parameter. It should thus serve as an extremely sensitive test of the low-energy scattering data when such data become more accurately …

Associative Detachment: H+Hˉ→₂*+E, Joseph C.Y. Chen, Jerry Peacher

Physics Faculty Research & Creative Works

The process of associative detachment in the (H,H^-) collision system is investigated at energies below 12 eV. In this energy region, the interaction potential between H and H^- has recently been determined. The energy dependence of the cross section is calculated with explicit allowance for the production of "hot" hydrogen molecules. It is observed that associative detachment provides a possible mechanism for generating an inverted population of the residual molecule such as H₂.

Interaction Potential Between The Ground States Of H And Hˉ, Joseph C.Y. Chen, Jerry Peacher

Physics Faculty Research & Creative Works

An investigation of the interaction potential for H and H^- in both ungerade and gerade modes is carried out by a semiempirical method in which the recently observed isotope effect in dissociative attachment of electrons to hydrogen molecules is used. The interaction obtained is complex, and the imaginary parts of the interaction account for electron emissions during the course of the interaction. A comparison of the present result with other calculations is presented. The isotope effect in dissociative attachment is also discussed. It is shown that the ratios of the survival probabilities alone do not provide an adequate approximation …

Rings Of Continuous Functions On Open Convex Subsets Of R, Lyle E. Pursell

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Cell Model Of A Fluid With Hard-Core Repulsive Long-Range Attractive Potential, Ralph G. Tross

Doctoral Dissertations

"A model of a one-dimensional fluid is investigated in which the praticles [sic] are embedded in a cellular space grid and interact with a modified Lennart-Jones potential. It is shown that with an appropriate change in the potential function the model is also suitable for a two- or three-dimensional fluid with more restricted interactions. The man-fermion-like nature of the system resulting from the hard-rod repulsive part of the modified Lennard-Jones potential makes possible an isomorphism between occupation numbers (number operators) and spin states (spin operators) of an Ising ferromagnet, permitting a convenient mathematical formulation of the problem in terms of …

Inferences On The Parameters Of The Weibull Distribution, Darrel Ray Thoman

Doctoral Dissertations

"For the most part, solutions to the problems of making inferences about the parameters in the Weibull distribution have been limited to providing simple estimators of the parameters. Little has been known about the properties of the estimators. In this paper the small and moderate sample size properties of the maximum likelihood estimators are studied and their superiority is established. The problem of making further inferences which are based on the maximum likelihood estimates of the parameters is then considered. The inferences that are presented can be divided into those based on a single sample and those based on two …

Surface Interactions Between Nickel Ions And Sodium Dodecyl Sulfate, Ralph Edward Coleman

Masters Theses

"In this research the interaction of nickel ions with the surfactant sodium dodecyl sulfate at the liquid-air interface was studied. Surface tension measurements were performed on pure sodium dodecyl sulfate solutions, with and without the addition of nickel ions. Results of these measurements showed that the addition of nickel ions lowered the equilibrium surface tension values of pure sodium dodecyl sulfate solutions and shifted the critical micelle concentration to lower concentrations. The foam fractionation technique was used to determine if the nickel ions could be removed from surfactant solutions. It was found that the removal of nickel ions was influenced …

The Effect Of Impurities On The Time Dependence Of The Surface Tension Of Aqueous Surfactant Systems, Elizabeth Ann Munson

Masters Theses

"In this study surface tension measurements were made on tetradecylpyridinium bromide (TPB) solutions both in water in solutions containing various concentrations of impurities. Three impurities were studied, dodecyl alcohol, decyl alcohol and dodecylpyridinium bromide. Surface tension vs. time plots were constructed and show a definite dependence on the concentration of the impurity added. As the concentration of the impurity increases the equilibrium surface tension decreases. The decrease in the equilibrium surface tension is also dependent upon the concentration of the tetradecylpyridinium bromide. As the concentration of the surfactant (TPB) increases the effect of the impurity is reduced"--Abstract, page i.

A Study Of Solvent Effects On The Reaction Between P-Nitrobenzyl Chloride And Hydroxide Ion In Aqueous Dioxane Homogeneous Media, Ken K. Ho

Masters Theses

"The kinetics and activation parameters of the reaction between p̲, p̲' - dinitrostilbene quantitatively, have been studied in five aqueous dioxane solvent systems at five different temperatures between 20⁰ and 40⁰C. At any one temperature the second-order rate constants are minimum in the 30% dioxane solvent mixture, reach a maximum in the 50% dioxane systems, and fall off slightly in the 60% and 70% dioxane systems. The Arrhenius activation energies are highest in the 30% dioxane and lowest in the 70% dioxane systems. The free energies of activation change in the same direction but the magnitude of change is much …

Geochemical Abundance Of Iodine, Jane Hanisch Bennett

Masters Theses

"The research reported herein includes unpublished iodine and uranium data on a group of United States Geological Survey standards and on a group of ultrabasic rocks. Data are also included for the major rock types, deep sea sediments, and for graphite and troilite inclusions in iron meteorites. Tellurium data for the troilite are also reported. Appendix I is a literature article (Bennett and Manuel, 1967a) on Canyon Diablo Graphite. Appendix II is a literature article (Bennett and Manuel, 1967b) on deep sea sediments. The results of this study show that most of the earlier estimates of the crustal abundance of …

A Kinetic Investigation Of The Reaction Of Ethylenedinitrilotetraacetic Acid (Edta) And Cerium (Iv) In Acid Solution, Sahmia K. Al-Hashimi

Masters Theses

"The reaction between Ce(IV) salt solutions and EDTA solution was followed titrimetrically and spectrophotometrically and found to occur in stages. Four equivalents of Ce(IV) are reduced per mole of EDTA almost instantaneously at room temperature or even lower. With increasing temperature and reaction time an ultimate of about 14 equivalents of Ce(IV) is consumer per mole of EDTA. Formaldehyde, carbon dioxide, and other unidentified compounds are the products of oxidation of EDTA with Ce(IV). The kinetics of the reaction in aqueous sulfuric acid (0.09 - 2.95 M̲) was studied over the temperature range 11.7-40⁰ by a spectrophotometric technique. In the …

Sulfide Mineralogy And Fabrics Of The Iron Ores At Benson Mines, New York, Pedro Hugo TumialáN De La Cruz

Masters Theses

"The occurrence of sulfide minerals and their textural relationships to the silicate and oxide minerals in the Benson Mines, New York, iron deposit were investigated by ore microscopic and petrographic means. The Benson deposit is one in which the dominant iron oxides, magnetite and hematite, occur in a quartz-feldspar gneiss which was subjected to hornblende granulite subfacies metamorphism. Two hundred ore and country rock specimens were systematically collected from all parts of the open pit mine. Polished sections and thin sections were prepared from nearly all of the collected specimens. The oxide ore exhibits a granular texture in which isolated …

The Geology Of The Thayer Area Emphasizing The Stratigraphy Of The Cotter And The Jefferson City Formations, William Jesse Hedden

Masters Theses

"Detailed geologic mapping of the Cotter-Jefferson City formational contact in the Thayer, Missouri area demonstrates the feasibility of using this contact. This mapping also delineates significant faulting in the area.

The stratigraphy of the Cotter and Jefferson City formations in the Thayer area has been studied to find a mappable contact between the two formations. The contact was mapped in this area by using marker beds, the stratigraphic positions of which were determined by applying insoluble residue techniques to outcrop sections. Because the insoluble residue zones of the Cotter and Jefferson City formations are recognizable throughout the state of Missouri …

The Downhole Suspension And Testing Of An Electrodynamic Shear Wave Exciter, Robert Franklin Kehrman

Masters Theses

"The work in this research project was aimed at designing a Downhole Electromagnetic Shear Wave Generator capable of delivering a wide frequency band, random, continuous signal. This Exciter was built using a compressed-air driven piston assembly for downhole application. The device was tested in the laboratory in a concrete test facility. It proved to be capable of transmitting a continuous, measurable stress into the concrete in a 100 to 5,000 hertz frequency band"--Abstract, page ii.

Absolute Specification Of X-Ray Spectra By Laplace Transform Analysis Of Attenuation Data, Gerald Robert Lusk

Masters Theses

"A well characterized, variable plate separation ion chamber was utilized as a detector to collect x-ray attenuation data for generating information on the Laplace transform predicted spectrum of a 50 KvCP conventional x-ray tube. The variable plate separation feature allows one to include a wavelength dependent correction to the detector response which is associated with the hardening of the x-ray spectrum as it traverses the attenuating material. With this correction, the conventional two-term Laplace transform was shown to approximate independently the bremsstrahlung and characteristic L radiation from the tungsten target. The detector provides an absolute statement of the target-referenced x-ray …

Analysis Of A Focus Log Electrode In A Non Homogeneous Medium, John Julian Zenor

Doctoral Dissertations

"The mathematical model presented for the focused logging system is applicable to any resistance logging tool of the electrode type. Horizontal or cylindrical resistance interfaces may be included in any combinations. The tool and its environment are compartmentalized, and the integral form of the condition for continuity of current is applied to each compartment. Acceleration methods are applied to the iterative solution of the resulting large-scale system of linear equations. Two specific models are presented, one for the study of the effects of invasion and the other for the study of the effects of bed thickness on the apparent resistivity …

Hrva - A Velocity Analysis Technique For Seismic Data, John Charles Robinson

Doctoral Dissertations

"A High-Resolution Velocity Analysis (HRVA) has been developed for the determination of the root-mean-square subsurface-velocity energy spectrum from gated seismic data which has been normal-moveout corrected. All calculations are performed in the frequency-space or frequency-wavenumber domain; seismic gates are transformed from the time-space domain via the Fast Fourier Transform algorithm. HRVA is not restricted to the investigation of apparent horizontal velocities which have associated stepout values that are integral multiples of the time sampling interval, as are the existing correlation techniques. The technique liberally exploits the inexistence of significant energy in the higher frequency harmonies of seismic data, resulting in …

Electron-Impact Lonization Cross Section In Cesium, Kaare J. Nygaard

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

The total ionization due to the passage of an electron beam in cesium vapor has been measured with a Tate and Smith-type apparatus. The retarding potential difference method was used in the electron gun to obtain energy resolution better than 0.1 eV. The density of Cs atoms was determined from the Taylor and Langmuir formula and also measured with a surface-ionization detector. The two methods gave the same density to within ±3% when the apparatus was in thermodynamic equilibrium with the Cs reservoir. The cross section for production of Cs+ has been determined from threshold to 100 eV. For energies …

A Comparison Of Three Numerical Techniques Used For The Solution Of The Two-Point Boundary Value Problem, William Richard Krall

Masters Theses

"Three numerical approximation techniques, called the Initial step, Shooting, and Direct Finite Difference Techniques, respectively, are compared and discussed as they apply to the solution of both linear and non-linear boundary-value problems of the form y"=f(x,y,y') with endpoint conditions y(x_o)=y_o and y(x_n)=y_n. The techniques are compared with respect to speed and accuracy by comparing the solution of each problem considered four times, each time for a different increment value, and comparing the errors at four pivotal points chosen at equally spaced distances over the domain of the function, to give an indication of …

Endogenous Metabolism Of Polyporus Sulfureus. : Utilization Of Exogenous Carbohydrates And Fatty Acids, Shu-Mei Wang

Masters Theses

"A strain of Polyporus sulfureus from the collection at the University of Missouri at Rolla was used in this investigation. Organisms of this genus have been reported to produce eburicoic acid in good yield and this was confirmed for the organism used in this study by the isolation and identification of eburicoic acid from the mycelium. Growth studies of this organism showed that 4% malt extract is a better medium than synthetic media containing asparagine, nitrate or nitrate plus 0.5% yeast extract as nitrogen sources. An examination of the pH of the culture medium led to the conclusion that regardless …

A Study Of Bismuth Ferrate And Bismuth Manganate In Solid Solution With Lead Titanate, Harris C. Jones

Masters Theses

"A new sample holder for measuring the high frequency dielectric constant of ferroelectrics at high temperature was constructed. The new sample holder eliminated discontinuities in the slotted line and improved the electrical contact between the ceramic and brass components. Measurements of the high frequency dielectric constant of an aged sample of 90% BiFeO₃ - 10% PbTiO₃ were made as a function of temperature using the slotted line technique. The dissipation function for the aged sample was found to have a more normal behavior near the Curie point than the virgin samples previously measured. Resistivity measurements were made as a function …

Current Density-Anodic Potential Curves Of Single Crystal Gaas At Low Currents In Koh, Martin E. Straumanis, J. P. Krumme, William Joseph James

Materials Science and Engineering Faculty Research & Creative Works

Single p-type, GaAs crystals of high purity, Zn doped, were used to determine whether or not the inverse octahedral {111} faces show potential differences and various rates of anodic dissolution. The Ga{111}, As{111}, {110}, and {100} faces, were polished, etched, and etch-polished with concentrated H₂SO₄ + H₂O₂, and immersed in IN KOH. The Ga{111} faces were found to be the most noble with respect to rest and anodic dissolution potentials. The potential difference between the inverse {111} faces was as large as 0.14v for the rest and 0.123v for the dissolution potentials. The …

Dielectric Properties Of Solid Solutions Of Bifeo₃ With Pb(Ti, Zr)O₃ At High Temperature And High Frequency, Robert Travis Smith, Gary D. Achenbach, Robert Gerson, William Joseph James

Physics Faculty Research & Creative Works

Solid solutions of BiFeO₃ with PbTiO₃, PbTi_0.5Zr_0.5O₃, and PbZrO₃ were prepared. The crystallographic data on these solutions, which are basically perovskitic, are given. The dielectric constants of the materials were determined at a frequency of 0.53 GHz and at temperatures up to 800°C. Dielectric Curie points were found in solutions containing up to 90 mole % BiFeO₃. These results leave little doubt that BiFeO₃ is ferroelectric or antiferroelectric. The extrapolated Curie point for BiFeO₃ is above 850°C. BiFeO₃ appears more likely to be ferroelectric than …

The Critical And High‐Temperature Behavior Of A Heisenberg Ferromagnet, Harry A. Brown

Physics Faculty Research & Creative Works

No abstract provided.

The Magnetic Dilution Problem, Harry A. Brown, William F. Parks

Physics Faculty Research & Creative Works

No abstract provided.

Cell Model Of A Fluid. I. Evaluation Of The Partition Function And Series Expansions, Ralph G. Tross, Louis H. Lund

Physics Faculty Research & Creative Works

The partition function of a one-dimensional system of particles with all interactions active is formulated in terms of Ising ferromagnetic spin states. It is shown how the partition function for two- and three-dimensional systems can be obtained from the one-dimensional one by restricting the number of bonds per particle. After writing the partition function in matrix form, the operator of interest is diagonalized and its trace expressed in the form of a convenient infinite series. The series is shown to be absolutely convergent and its analytic properties are briefly investigated. It is then applied to one-, two-, and three-dimensional systems …

Cell Model Of A Fluid. Ii. Thermodynamic Properties Of The System, Ralph G. Tross, Louis H. Lund

Physics Faculty Research & Creative Works

In Paper I of this series (preceding paper) the model was formulated mathematically, and the solution derived in the form of an infinite series. The convergence and analyticity of the solution were investigated. It was then applied to one-, two-, and three-dimensional systems with nearest-neighbor interactions, and low-temperature series for these systems were obtained. In the present article the thermodynamics of the model are investigated. The series solution of the partition function derived in Paper I is applied to systems with interaction potentials of increasing complexity. The validity of the model is established by showing that in the appropriate limits …

The Bethe-Weizsäcker Mass Formula And Lennard-Jones N-N Potentials, James Paul Wesley, Alex E.S. Green

Physics Faculty Research & Creative Works

An elementary derivation of the Bethe-Weizscker semiempirical nuclear mass formula which is in the spirit of current views of nuclear structure, is given. Lennard-Jones potentials are assumed to act between nuclear. Thus, the major interaction between nn, pp, and np pairs is taken of the form —g/r3+h/r4, where r is the separation distance between nuclear, and g and h are constants. An additional "symmetry" interaction of the form s/r3 is assumed for np pairs. Summing the potential energy over all nucleon pairs and using the Fermi statistical estimate of the kinetic energy, the Bethe-Weizscker semiempirical mass formula is obtained directly. …

An Experimental Determination Of The Homogeneous Nucleation Rate Of Water Vapor In Argon And Helium, Louis Benton Allen

Doctoral Dissertations

"An expansion type cloud chamber was used to measure the nucleation rate of water vapor in an atmosphere of helium and argon. A careful study was made of the thermodynamic characteristics during the expansion so that the nucleation data could be interpreted with reasonable accuracy and consistency. A fine wire thermocouple was used to measure the gas temperature during the course of an isentropic expansion in the dry chamber. When the finite heat capacity of the thermocouple is accounted for, it is found that there is almost perfect agreement with the temperature calculated from the equation of state and the …

The Lifetime And Effective Quenching Cross Section Of The 6²P₃/₂ State Of Thallium, Robert Charles Pickett

Doctoral Dissertations

"The measurement of the lifetime of the metastable 6²P₃/₂ state of thallium is discussed. Measurement of time varying optical absorption by time sampling techniques is explained for the study of the decay of the metastable atom concentration following a pulsed radio frequency discharge. The decay of the thallium radiation from optically allowed states terminating on the metastable state is measured at nine different thallium densities in the afterglow of the discharge. This radiation repopulates the metastable state and is displayed on an oscilloscope. The metastable lifetime is measured as a function of the thallium density at three different r-f power …