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1966

Physical Sciences and Mathematics

Missouri University of Science and Technology

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Dynamics Of Disordered Harmonic Lattices, Daniel N. Payton Iii Jan 1966

Dynamics Of Disordered Harmonic Lattices, Daniel N. Payton Iii

Doctoral Dissertations

"Extensive numerical and analytic studies of vibrational spectra, normal modes, thermodynamic properties, and dynamical properties of harmonic systems with varying degrees of substitutional disorder have been made. The effects on observable properties of random mixtures of two or more species of atoms with differing masses and differing couplings to nearest-and next-nearest-neighbors have been investigated. Using the IBM-7030 digital computer, spectra for linear chains of 100,000 atoms have been obtained. Calculations in two and three dimensions have been limited to arrays of approximately 1000 atoms. Varying composition, mass ratio, and order affect the spectra in two and three dimensions in ways …


Stable Predictor-Corrector Methods For First Order Ordinary Differential Equations, Terrell Lester Carlson Jan 1966

Stable Predictor-Corrector Methods For First Order Ordinary Differential Equations, Terrell Lester Carlson

Masters Theses

"Because of the wide variety of differential equations, there seems to be no numerical method which will affect the solution best for all problems. Predictor-corrector methods have been developed which utilize more ordinates in the predictor and corrector equations in the search for a better method.

These methods are compared for stability and convergence with the well known methods of Milne, Adams, and Hamming"--Abstract, page ii.


Ecology And Distribution Of Foraminifers Of A Traverse In The Northwestern Gulf Of Mexico, Faiz Nassir Thomas Jan 1966

Ecology And Distribution Of Foraminifers Of A Traverse In The Northwestern Gulf Of Mexico, Faiz Nassir Thomas

Masters Theses

"Foraminiferal populations have been analyzed from five bottom samples along a traverse in the northwestern Gulf of Mexico, approximately 27⁰20' to 97⁰15' north latitude and 97⁰20' to 97⁰05' west longitude. Eighty-eight species and twenty-nine genera, belonging to eighteen families, were recorded. Species were identified and described.

Statistical studies indicate that probably five benthonic foraminiferal depth facies could be recognized in the area at the following approximate depths: 4 fathoms, 4-8 fathoms, 8-12 fathoms, 12-16 fathoms, and 16-20 fathoms. Determination of facies is based largely on the range of species. The frequency distribution of species of foraminifers was plotted against change …


Geology Of The Acari Iron Mining District Arequipa, Peru, Raul Alejandro Zevallos Jan 1966

Geology Of The Acari Iron Mining District Arequipa, Peru, Raul Alejandro Zevallos

Masters Theses

"The Acari Iron Mining District, part of a tilted uplifted fault block, comprises an area about 300 square kilometers, in the southern part of the coastal belt of Peru. It is in the foothills of the western range of the Andes and it is dominantly formed by granodioritic and granitic intrusive rocks which belong to the Andean batholith of Cretaceous-Tertiary age. The intrusive rocks are overlain by a central, elongated, northwest trending band, of metasedimentary and volcanic rocks

The magnetite deposits of Acari district are long, dike-shaped bodies, which fill two systems of fractures in the granodiorite intrusive, located in …


A Study Of The Development Of A Heuristic Program That Solves Symbolic Laplace Transformation Problems, Arthur E. Zackrison Jan 1966

A Study Of The Development Of A Heuristic Program That Solves Symbolic Laplace Transformation Problems, Arthur E. Zackrison

Masters Theses

"A medium-speed general purpose digital computer (IBM 1620 Model II) was programmed to solve symbolic Laplace transformation problems. Although the applied mathematician and modern engineer has many uses for the symbolic solution of a problem, the potential of symbolic manipulation by a computer has not yet been sufficiently developed to help them because of many problems. This paper discusses the program and based on the author’s experience with it’s [sic] performance, clarifies the position of several of these difficulties and reaches some conclusions concerning computer solution of such problems"--Abstract, page ii.


Two-Dimensional Seismic Model Studies, Joong Hee Chun Jan 1966

Two-Dimensional Seismic Model Studies, Joong Hee Chun

Masters Theses

"The purpose of this research was to design and construct apparatus suitable for two-dimensional seismic model studies.

A new technique for two-dimensional seismic model testing was devised which allows wide application of the equipment. This enabled the author to place the source and receiver in any desired position on the model, thereby permitting the recording of seismic events as function of distance and depth at any position

Two simple geometric models were tested to demonstrate the experimental range of the apparatus designed. The recorded data were compared with theoretical predictions and were found to be in good agreement"--Abstract, page ii.


An Investigation Of The Control Of Hydraulic Fracturing Through The Inclusions Of Prefractures, William Joseph Kabeiseman Jan 1966

An Investigation Of The Control Of Hydraulic Fracturing Through The Inclusions Of Prefractures, William Joseph Kabeiseman

Doctoral Dissertations

"Among the methods for determining the in-situ state of stress within the earth’s crust, hydraulic fracturing has been and is receiving much attention. This method, in principle, measures stress directly with no delicate electronic equipment required nor knowledge of the elastic modulus of the material.

This dissertation investigates experimentally whether or not control of fracture orientation can be achieved by the introduction of circular and elliptical prefractures along with sand inclusions into cast hydrostone blocks which are hydraulically fractured. A mathematical model is presented and analytically solved for the stress condition associated with a circular crack containing fluid pressure with …


Re-Evaporation Nuclei And Evaporation In A Wilson Cloud Chamber, James G. Smith Jan 1966

Re-Evaporation Nuclei And Evaporation In A Wilson Cloud Chamber, James G. Smith

Doctoral Dissertations

"Experimental techniques are developed for observing droplet evaporation in the submicroscopic size range. An expansion-compression cloud chamber with an atmosphere of tank helium saturated with water vapor is employed. This work was undertaken with the aim of examining submicroscopic droplet behavior and the existence of re-evaporation nuclei, a form of memory effect.

The theories of evaporation and nucleation on submicroscopic drop residues were re-examined, and alterations which appear to be consistent with the results of this work were incorporated into the evaporation theory.

The observed continually decreasing evaporation rate with diminishing droplet size confirms the existence of re-evaporation nuclei, but …


Cenozoic And Recent Lunulitiform Bryozoans Of The Gulf And Atlantic Coasts, Ronald Greeley Jan 1966

Cenozoic And Recent Lunulitiform Bryozoans Of The Gulf And Atlantic Coasts, Ronald Greeley

Doctoral Dissertations

"Free, cup-shaped colonies of cheilostomatous bryozoans, equipped with vibracula, are termed lunulitiform bryozoans. This group is found in sandy and calcareous Cenozoic deposits of the Gulf and Atlantic Coastal Plains. Cupuliform bryozoans are taxonomically distinct from, but in many ways similar to, lunulitiform bryozoans; the two groups are frequently found together.

Known lunulitiform genera of the Gulf and Atlantic Coastal Plains are diagnosed and their species described: Lunulites Lamarck, fifteen species, one new; Oligotresium Gabb and Horn, six species, two new; Discoporella d'Orbigny, two species; Cupuladria Canu and Bassler, two species; Selenaria Busk, one species; Otionella Canu and Bassler, four …


Calculated Cohesive Energy Of The Ordered Copper-Gold Alloy Cu Au I, Richard W. Hannum Jan 1966

Calculated Cohesive Energy Of The Ordered Copper-Gold Alloy Cu Au I, Richard W. Hannum

Doctoral Dissertations

"The ordered alloy CuAu is the fifty atomic per cent alloy in the copper-gold system. It was observed by Johansson and Linde(1) and was one of the first ordered alloys to be studied by x-ray diffraction methods(Z, 3). Two ordered superlattices of CuAu are observed. CuAu I exists below 380° C and has a tetragonal structure which is a slight distortion of the face- centered cubic. It is very highly ordered, with all copper and all gold atoms in alternate (002) planes, as shown in Figure 2. CuAu II, which exists between 380° and 415° C, is orthorhombic in structure(4) …


Upper Cretaceous-Lower Cenozoic Foraminifera From An Oil Well In Northwestern Iraq, Farouk Sunallah Al-Omari Jan 1966

Upper Cretaceous-Lower Cenozoic Foraminifera From An Oil Well In Northwestern Iraq, Farouk Sunallah Al-Omari

Masters Theses

"Twenty-five samples of well cuttings from the Iraq Petroleum Company Butmah Number 9 Well in northwestern Iraq, at approximately 36° 37' north latitude and 42° 41' east longitude, have been examined in detail. The boundary between the Upper Cretaceous and lower Cenozoic is recorded as closely as possible on the basis of the microfaunal assembalges. A unit showing equivalence to the Danian Stage also is recognized"--Abstract, page ii.


Structure Contours On The Top And Base Of The M Bed, The Relationship Of Mineralization To Structures, And The Variation Of The M Bed Thickness In The Tri-State District, Missouri, Kansas And Oklahoma, Arvind A. Desai Jan 1966

Structure Contours On The Top And Base Of The M Bed, The Relationship Of Mineralization To Structures, And The Variation Of The M Bed Thickness In The Tri-State District, Missouri, Kansas And Oklahoma, Arvind A. Desai

Masters Theses

"Regional structure and thickness of a single horizon, the M bed, have been studied in the Tri-State district by picking the top and base of the M bed in the logs of 557 selected drill holes and contouring this data together with the aid of local detailed structural information available for individual mining fields. Structures determined from these data were compared to the positions of mined mineralization to determine the control of regional structure upon the localization of ore. Variations in the M bed thickness were compared to the positions of fields of mineralization to examine possible spatial relationships which …


A Comparison Of The Lr And Qr Transformations For Finding The Eigenvalues For Real Nonsymmetric Matrices, Susan Clara Hanson Jan 1966

A Comparison Of The Lr And Qr Transformations For Finding The Eigenvalues For Real Nonsymmetric Matrices, Susan Clara Hanson

Masters Theses

"The LR and QR algorithms, two of the best available iterative methods for finding the eigenvalues of a nonsymmetric matrix associated with a system of linear homogeneous equations, are studied. These algorithms are discussed as they apply to the determination of the eigenvalues of real nonsymmetric matrices.

A comparison of the speed and accuracy of these transformations is made. A detailed discussion of the criterion for convergence and the numerical difficulties which may occur in the computation of multiple and complex conjugate eigenvalues are included.

The results of this study indicate that the QR algorithm is the more successful method …


Absolute Soft X-Ray Dosimetry For Radiation Chemistry Studies, Howard Sajon Joyner Jan 1966

Absolute Soft X-Ray Dosimetry For Radiation Chemistry Studies, Howard Sajon Joyner

Masters Theses

"A homogeneous, variable plate separation ion chamber consisting of a polyethylene body and employing flowing ethylene as the cavity gas has been designed and tested for the specification soft x-ray (<75kV) energy deposition in typical hydrocarbons. The variable plate separation feature provided primary data on the differential specific ionization originating within the cavity gas occupying the effective collector volume which is independent of inherent chamber inhomogeneities associated with the electrically conducting films comprizing the chamber electrodes. These data demonstrated that charged particle equilibrium is established within the first few ten thousandths of an inch in typical solid hydrocarbons irradiated with this class of sources. Comparison of this type of chamber with a fixed plate separation, static cavity gas mode of operation showed that the latter may predict dose rates with inherent errors exceeding 100%. With the quality of electronic readout accessories presently available, the variable plate separation chamber yielded dose rate data exhibiting a probable error of 3.8 percent (plus the unknown uncertainty in the literature data on the energy required to form an ion pair), and an ultimate limiting error of less than 2 percent appears feasible"--Abstract, page ii.


The Activity Of Succinic Dehydrogenase And Indole Acetic Acid Oxidase In Cell-Free Preparations Of Hygrophorous Conicus, Jagdish M. Mehta Jan 1966

The Activity Of Succinic Dehydrogenase And Indole Acetic Acid Oxidase In Cell-Free Preparations Of Hygrophorous Conicus, Jagdish M. Mehta

Masters Theses

"The enzyme indole acetic acid oxidase is produced by the fungus Hygrophorous conicus when it is grown in the presence of indole acetic acid (IAA) or tryptamine. The IAA acts both as an inducer and a substrate for this intracellular enzyme. The product of the oxidation catalyzed by the IAA oxidase is oxindole acetic acid (OIAA).

The rate of growth and the rate of formation of the enzyme IAA oxidase by H.conicus were studied in different media. Of these, a nitrate medium containing 0.5 per cent Yeast extract (Y.E.) was found to be the best for the production of H.conicus …


The Mössbauer Effect In Bismuth Ferrate, Bruce A. Banks Jan 1966

The Mössbauer Effect In Bismuth Ferrate, Bruce A. Banks

Masters Theses

"The magnetic hyperfine structure of the Fe⁵⁷ nuclei in bismuth ferrate was investigated using the Mössbauer effect. A Mössbauer effect spectrometer was built with consideration given to the elimination of vibration and the optimizing of the source, absorber, and detector geometries to produce the largest fractional Mössbauer effect per fractional standard deviation. The internal magnetic field at the Fe nuclei in BiFeO₃ was determined to (482 ± 9) kilooersteds at room temperature"--Abstract, page ii.


Heat Flow In The Boss Deposit Of Missouri, Don Stainbrook Jan 1966

Heat Flow In The Boss Deposit Of Missouri, Don Stainbrook

Masters Theses

"Values of heat flow through a Precambrian mineral deposit were determined in the Boss area of Missouri, where 350 meters of Paleozoic sedimentary rocks overlie a complex series of rhyolite flows which have been altered and contain a copper bearing magnetite deposit. Geothermal data were obtained from a closely spaced grid of 17 diamond drill holes penetrating to depths of 1000 meters below ground surface. Temperature measurements were made at 5 meter intervals in the Precambrian section of all holes. These and thermal conductivity measurements made on representative core samples from 300 to 400 meters below the top of the …


The Faraday Rotation And Dispersive Doppler Effects In The Ionosphere At Oblique Incidence, Charles Roland Baugher Ii Jan 1966

The Faraday Rotation And Dispersive Doppler Effects In The Ionosphere At Oblique Incidence, Charles Roland Baugher Ii

Masters Theses

"Integral equations for the isotropic and anisotropic ray path of a radio wave propagating through the ionosphere are developed. These equations assume a spherically stratisfied ionosphere and are equivalent to a detailed ray-tracing process. A method is devised to utilize these equations in the evaluation of combined Faraday rotation and dispersive Doppler data from earth satellites for subionospheric electron content. The method, which corrects for horizontal ionospheric gradients, is applied to data from the Explorer 22 satellite and some preliminary results are discussed"--Abstract, page ii.


The Construction Of A Multi-Threshold Foil For Fast Flux Measurements, Michael Henry Holkenbrink Jan 1966

The Construction Of A Multi-Threshold Foil For Fast Flux Measurements, Michael Henry Holkenbrink

Masters Theses

"The construction of a multi-threshold foil for fast neutron flux measurements is investigated. The factors governing the selection of the materials are the energy response of the given reactor, the half-life of the daughter, the prominent gamma ray emitted during decays, the power level of the reactor, the availability of adequate cross section data, and the alloying properties of the composite foil. A ternary system was chosen as a compromise between the difficulty of fabrication and the amount of information gained from one foil. The particular system chosen was In- P- Fe. The threshold reactions of these elements are In¹¹⁵ …


A Simulation Study Of A Proposed Computer Installation, John Edward Hawthorne Jan 1966

A Simulation Study Of A Proposed Computer Installation, John Edward Hawthorne

Masters Theses

"The operation of a data processing center has been studied with the objective of investigating the effect of various facilities, job loads, and operating policies as measured by job turnaround time. The mechanism for study was digital computer simulation.

This thesis purports to review the technology of simulation and the associated computer techniques, defines the problem and the alternatives available, and analyzes the results derived from the experiments.

Conclusions drawn from this study support the current practice of a functioning data processing center"--Abstract, page ii.


A Mathematical Study Of Voigt Viscoelastic Love Wave Propagation, David Nuse Peacock Jan 1966

A Mathematical Study Of Voigt Viscoelastic Love Wave Propagation, David Nuse Peacock

Masters Theses

"This research is a mathematical investigation of the propagation of a Love wave in a Voigt viscoelastic medium. A solution to the partial differential equation of motion is assumed and is shown to satisfy the three necessary boundary conditions. Velocity restrictions on the wave and the media are developed and are shown to be of the same form as those governing the elastic Love wave"--Abstract, page ii.


Comparative Analysis Of Numerical Integration Techniques, Edward Lee Sartore Jan 1966

Comparative Analysis Of Numerical Integration Techniques, Edward Lee Sartore

Masters Theses

"When integrating numerically, if the integrand can be expressed exactly as a polynomial of degree n, over a finite interval; then either Simpson's rule, Romberg integration, Legendre-Gauss or Jacobi-Gauss quadrature formulas provide good results. However, if the integrand can not be expressed exactly as an nth degree polynomial, then perhaps it can be expressed as a function f(x) divided by √1-x 2, or as a function g(x) times (1-x)α (l+x)ß , where α and ß are some real numbers >1, or as a function h(x) times one. If this is the case then the Chebyshev-Gauss, Jacobi-Gauss, and …


Origin And Factors Affecting Distribution Of Solid Oil In Mid-Western Missouri, Rafid Abdul-Halim Jasim Jan 1966

Origin And Factors Affecting Distribution Of Solid Oil In Mid-Western Missouri, Rafid Abdul-Halim Jasim

Masters Theses

"A textural analysis was made of the heavy oil-bearing sandstones in the Middle Pennsylvanian (Desmoinesian) Warner and Bluejacket formations of mid-western Missouri in order to determine and compare their depositional environments.

Grains of the Bluejacket sandstones are smaller and more rounded than grains of the Warner sandstones. The Bluejacket sandstone is also better sorted than the Warner sandstone.

The Bluejacket sandstone is thin-bedded; the Warner is mostly massive-bedded. These differences in bedding between the two formations have affected distribution of oil in the area of study.

Both the Bluejacket and Warner sandstones are better sorted than the Warrensburg sandstones; the …


Geochemical And Petrological Study Of The Precambrian Iron Metallogenic Province Of Southeast Missouri, Geza Kisvarsanyi Jan 1966

Geochemical And Petrological Study Of The Precambrian Iron Metallogenic Province Of Southeast Missouri, Geza Kisvarsanyi

Doctoral Dissertations

"The general purpose of this dissertation was to investigate and establish petrological and geochemical relationships, if any, between the Precambrian iron deposits and associated host rocks. A more specific objective was to determine the distribution of some significant minor elements in the rocks and mineral deposits and to include specific mineralogical and petrological studies of the iron deposits and country rocks important to a better understanding of the genetic and geochemical relationships ... A primary task in the investigation was the study of the trace element population of individual iron deposits and establishment of differences, if they exist, between the …


Error Analysis Of Rational Approximations Of Functions With Emphasis On Minimax Techniques, Mary Frances Good Jan 1966

Error Analysis Of Rational Approximations Of Functions With Emphasis On Minimax Techniques, Mary Frances Good

Masters Theses

"This study examines the various considerations which are made when a function is approximated by a rational function. None of the four approximations considered here gives both a rapidly calculated approximation and one in which the maximum magnitude of the error function over a given interval is a minimum.

The second algorithm of Remes produces a sequence of rational approximations which converge to the rational approximation that minimizes the maximum magnitude of the error function for a given number of parameters to be calculated if the initial approximation in the sequence is chosen properly. Several rational function approximations are investigated …


Tectonic Analysis Of Mare Humorum On The Lunar Surface, Adnan Said Abul-Husn Jan 1966

Tectonic Analysis Of Mare Humorum On The Lunar Surface, Adnan Said Abul-Husn

Masters Theses

"Morphology and internal structures of surface features of the Mare Humorum area were interpreted from photographs and topographic maps. The postulated origin of certain features is based on analog comparisons with known terrestrial features. The laws of crate ring and a newly developed computer program were applied to two representative classes of craters to determine the possibility of a meteoritic impact origin. Some of the craters formed by meteoritic impact and others, including those with a radius larger than 10 Km, probably resulted from volcanic activity.

Mare Humorum formed from centripetal subsidence followed by extensive lava eruptions. Spacially related rilles …


Theory Of The Lunar Photoelectron Atmosphere, Hal Emerson Mccloud Jr. Jan 1966

Theory Of The Lunar Photoelectron Atmosphere, Hal Emerson Mccloud Jr.

Doctoral Dissertations

"By considering the mechanics of an electron projected into an arbitrary potential field together with Poisson's equation it is possible to set up a differential equation for the electrostatic potential. The equation may be integrated and the photoelectron density found as a function of height for four approximate models. A simple model based upon monoenergetic photons and monoenergetic electrons ejected vertically upward yields rough estimates of the parameters of interest. Another model takes into account the fact that the photoelectrons are ejected at all angles. A general model takes into account the illumination of the lunar surface by solar (black …


Some Geological And Magnetic Characteristics Of Buried And Resurrected Precambrian Hills Of Southeastern Missouri, James Edward Palmer Jan 1966

Some Geological And Magnetic Characteristics Of Buried And Resurrected Precambrian Hills Of Southeastern Missouri, James Edward Palmer

Doctoral Dissertations

"PURPOSE AND SCOPE OF INVESTIGATION The major purpose of this investigation was to determine by a comprehensive study various geological and magnetic characteristics of buried and resurrected Precambrian hills of the Central Ozarks. A second important objective was the determination of characteristics which might aid in the location of buried Precambrian hills. A final objective was the testing of the magnetic surface integration method for identification and determination of depth of buried Precambrian hills.

This investigation is limited to buried and resurrected Precambrian hills of the Central Ozarks. It is concerned primarily with the structure and stratigraphy of sediments adjacent …


Diffusional Drop Growth In A Supersaturated Atmosphere, John C. Carstens Jan 1966

Diffusional Drop Growth In A Supersaturated Atmosphere, John C. Carstens

Doctoral Dissertations

"The effect which a growing droplet has on the supersaturated atmosphere surrounding it is analyzed by assuming a macroscopic diffusional growth mechanism involving both heat and vapor. The problem is solved, for cloud-chamber conditions, first for very short times assuming a fixed radius, and then for longer times assuming the establishment of "quasi" steady-state conditions. Knowledge of the way in which droplet growth affects supersaturation is important in the evaluation of nucleation rates"--Abstract, page ii.