Physical Sciences and Mathematics Commons^™

A Determination Of The Speed Of Light By The Phase-Shift Method, John Rogers, Ronnie Mcmillan, Robert Pickett, Richard A. Anderson

Physics Faculty Research & Creative Works

A low-frequency, phase-shift method for the measurement of the speed of light has been developed. This technique gives results commensurate with other advanced laboratory methods. One advantage of this technique is that the apparatus is of reasonable size and most of the circuitry involves widely known amateur radio techniques. Furthermore, our use of a low modulating frequency permits use of the solid-state, electro-optical light shutter. This eliminates the rather dangerous liquid Kerr cell, thus making our apparatus more acceptable to application in the undergraduate advanced laboratory. From a pedagogical point of view, the student is allowed to use and become …

Mixed Magnetic Systems: A Model With Application To (1-X)Cdcr2s4 · Xcdcr2se4, Harry A. Brown

Physics Faculty Research & Creative Works

The Curie temperatures and asymptotic Curie temperatures are calculated for mixed magnetic systems by a semi-classical Bethe-Peierls-Weiss cluster approach. The systems are typified by (1-x) CdCr2Se4 · xCdCr2Se4 in which the substitution changes the anions but not the magnetic cations. It is found that next-nearest-neighbor interactions are needed to match the data but that, with them, excellent agreement can be obtained for a reasonably unique choice of the exchange integrals. © 1969.

Semiempirical Determination Of The Hydrogen Bond Energy For Water Clusters In The Vapor Phase. I. General Theory And Application To The Dimer, Richard W. Bolandee, James L. Kassner, Joseph T. Zung

Physics Faculty Research & Creative Works

A simple semiempirical method is given for determining the hydrogen bond energy for water clusters in the vapor phase. This method is based on a general statistical-mechanical theory of clustering. The partition function for a system of clusters is used to determine the equilibrium distribution of clusters. In conjunction with available thermodynamic and spectroscopic data, the cluster equilibrium constants can be used to calculate the cluster potential energy and the hydrogen bond energy. Results for the water dimer agree quite well with other reported values obtained either by quantum-mechanical calculations or approximate thermodynamic estimates. A correct temperature dependence of the …

A Five Parameter Study Of Spherical Transient Waves In A Generalized Voigt Model, Liang-Juan Tsay

Doctoral Dissertations

"Transient spherical waves in a generalized Voigt model were investigated in this study. Both Laplace and fourier transform solutions of the spherical wave equation for a generalized Voigt model were obtained by means of the correspondence principle. Laplace transform solutions were inverted numerically into the domain for the study of the characteristics of the wave forms, and Fourier transform solutions were utilized for the analysis of frequency dependency attenuation in the models. Generalized Voigt models A and B in which a dashpot is connected in series with spring and dashpot components were unable to represent a solid which would simulate …

A Study Of The Energy Loss Spectra Induced By Impact Of 23-125 Kev Protons On Helium Atoms, Franklin Dean Schowengerdt

Doctoral Dissertations

"Results of a study of the inelastic energy loss spectra induced by the impact of protons on gaseous helium at energies of 25 to 125 keV are reported. The spectra were obtained by sending an accelerated beam of protons through a chamber containing the helium target gas, mass-analyzing the forward-scattered beam, then decelerating the beam to a low, well-defined energy for energy analysis and detection. The accelerating potential was varied to produce the spectra. An energy resolution of 2 eV was obtained. Apparent differential cross sections and absolute total cross sections were obtained from the spectra. Total cross sections for …

Statistical Inferences For The Cauchy Distribution Based On Maximum Likelihood Estimators, Gerald Nicholas Haas

Doctoral Dissertations

"Various estimators of the location and scale parameters in the Cauchy distribution are investigated, and the superiority of the maximum likelihood estimators is established. Tables based on maximum likelihood estimators are presented for use in making statistical inferences for the Cauchy distribution. Those areas considered include confidence intervals, tests of hypothesis, power of the tests, and tolerance intervals. Both one- and two-sample problems are considered. Tables for testing the hypothesis of whether a sample came from a normal distribution or a Cauchy distribution are presented. The problems encountered in finding maximum likelihood estimators for the Cauchy parameters are discussed, and …

The Statistics Of Finite, One Dimensional Lattice Fluids, John Roger Glaese

Doctoral Dissertations

"A one dimensional lattice fluid in which particles are allowed to assume only discrete positions is proposed. Particles are free to move from one lattice site to another interacting through a variety of potentials, including the Lennard-Jones type. The model allows the partition function to be evaluated as a discrete sum over the allowable configurations. Both the canonical ensemble and grand ensemble are treated by computer and a third, the pressure ensemble, is considered and shown to be useful in the theoretical treatment of lattice systems. The thermodynamic behavior of various systems is investigated in both the canonical and grand …

A Low Frequency Phase Shift Method, Ronnie Carroll Mcmillan

Masters Theses

"The phase shift method of measuring atomic lifetimes is particularly useful because it allows us to make measurements in the steady state mode instead of in the transient mode. High frequency phase shift techniques cause many problems. The equipment, which was designed and built to make low frequency phase shift techniques possible, is shown schematically and discussed. The new experimental techniques employed in our apparatus are a phase multiplier and a unique method of using a photomultiplier as a mixer. In the photomultiplier the final dynode is used as the grid of a triode. The next to the last dynode …

Vertical And Lateral Variations In A Welded Tuff, Ted Richard Dinkel

Masters Theses

"During the Tertiary period, nuée ardente type eruptions spread large deposits of welded tuffs over southwestern Utah and southeastern Nevada. The Wah Wah Springs Tuff is a member of one of the most extensive of these units, the Needles Range Formation of Oligocene age. Its known outcrop area is estimated at 13,000 square miles. Relief was slight in the area during the time of eruption to enable the flows to spread over so large an area. In an effort to analyze the lateral and vertical continuity of the member, a petrographic study was undertaken. The average composition of the Wah …

Thermochemical Investigations Of The Methanol-Isopropanol System, Elmer Lee Taylor

Masters Theses

"Heats of solution and partial molar excess volumes at infinite dilution were determined for n-butanol, acetone, chloroform, and water in pure methanol, pure isopropanol, and several mixtures of the two at 25.0⁰C. The partial molar excess enthalpies of methanol and isopropanol were also determined and were combined to obtain integral heats of mixing. All heat data were obtained using a calorimeter of the heat-leak design, containing approximately 300 ml of solvent. Sample sizes ranged for 0.1 to 8 ml. Individual heat measurements were reproducible to 0.05 calories and reported values are considered to be accurate to 1% + 0.5 calorie …

Isotopic Anomalies Of Noble Gases In Natural Gas, Garry A. Bennett

Masters Theses

"This investigation of the abundance and isotopic composition of noble gases in helium-rich gas wells was undertaken in order to obtain new data which might be used to elucidate the origin of isotopic anomalies of noble gases in the atmosphere. Since noble gases are presently leaking to the atmosphere (Damon and Kulp, 1958a; Bieri et al., 1967-) the isotopic composition of the present atmosphere is not static. The direction of change, and ultimately the origin of anomalous noble gases, might therefore be discovered in studying the noble gases presently leaking from the earth. Since the two major noble gas isotopes …

Stratigraphy And Economic Geology Of Uranium-Bearing Sediments In The Poison Spider District, Natrona County, Wyoming, Carlos Enrique Reijenstein D'Acierno

Masters Theses

"Geologic, stratigraphic, and mineralogic characteristics of the Eocene Wind River and Oligocene White River Formations were determined for the southern portion of the Poison Spider District, Natrona County, Wyoming. Sieve analysis and heavy mineral techniques were used to recognize stratigraphic units, determine their environment of deposition, obtain a better knowledge of the grain size distribution, and to identify a possible source area for the sediments. Particular emphasis was concentrated on the evaluation and interpretation of the available geophysical data (gamma ray and resistivity logs), and geological information which had led to the establishment of several relationships between the local geology …

A Theoretical Study On The Interpretation Of Resistivity Sounding Data Measured By The Wenner Electrode System, Siew Hung Chan

Doctoral Dissertations

"This thesis deals with a theoretical study on the interpretation of resistivity sounding data measured by the Wenner electrode system. The objectives of this investigation are twofold: (i) to derive from the apparent resistivity data some suitable functions from which the resistivity and thickness of each member of the sequence of layers composing the earth may be determined, and (ii) to devise suitable methods for analyzing the resulting functions. In this investigation it is shown that the solution of the boundary value problem associated with an n-layered earth model leads to an integral equation for the Wenner electrode system. This …

A Geochemical Study Of The Maquoketa Formation In Pike County, Missouri, John Siegfried Trapp

Masters Theses

"Statistical interpretation of geochemical data was used to determine the environment of deposition of the Maquoketa Formation in Pike County, Missouri. A cyclic sequence was noted which can be best explained by cyclic climatic changes. During the study it was found that elemental relationships which would be expected in a freshly deposited sediment can be found in core samples. In samples from outcrops and quarry faces these relationships have been destroyed. As these elemental relationships reflect mineralogical relationships, serious doubts have arisen as to the validity of petrographic studies of samples taken from outcrops. This study indicates weathering may be …

The Background Concentrations Of Copper, Lead, And Zinc In Streams Of The "New Lead Belt", Missouri, Nicholas Howard Tibbs

Masters Theses

"This study was initiated to determine the background concentrations of copper, lead, and zinc in the streams of the Viburnum Trend or New Lead Belt of southeast Missouri. Analytical methods were developed for atomic adsorption spectroscopy. These methods initially consisted of coextraction of cooper, lead, and zinc using the APDC/MIBK system, and finally of extraction of copper by APDC/MIBK and direct analysis of lead and zinc using the newly developed "Sampling Boat" technique. The data obtained from these analyses were arranged in histograms and critically analyzed. The background concentrations were established to be 4-6 ppb for all three elements. Methods …

Rotational Excitation Of Polar Molecules By Electrons, Marvin H. Mittleman, Jerry Peacher, Balazs F. Rozsnyai

Physics Faculty Research & Creative Works

Rotational excitation of polar molecules is calculated in the approximation that the electron transit time is short compared with rotational periods with the result of an E^-1 behavior of the cross section. Diffusion cross sections are calculated for Δl=0,1,2. Significant corrections to the Born approximation are obtained for large dipole moments. The range (in energy) of applicability of the result is discussed in terms of the energy dependence of the corrections, and a novel energy dependence of these corrections is encountered and explained.

Measurement Of Positron Annihilation Line Shapes With A Ge(Li) Detector, H. (Henry) P. Hotz, J. M. Mathiesen, J. P. Hurley

Physics Faculty Research & Creative Works

We observed that the annihilation radiation photopeak in a Ge(Li) detector is considerably broader than that of a γ ray of the same energy. It seems reasonable to assume that the increased width is the result of the Doppler broadening of the annihilation photopeak, i.e., the longitudinal Doppler shift of the radiations is measured, while the transverse shift is measured in the usual angular-correlation experiments. By using a computer stripping program to remove the distortion produced by the finite energy resolution of our detector, we obtain momentum distributions in agreement with those which have been published. Only one detector is …

Longitudinal Optical Phonon-Plasmon Coupling In Cds, Robert John Bell, Thomas J. Mcmahon, Donald G. Rathbun

Physics Faculty Research & Creative Works

The longitudinal optical phonon-plasmon interaction theory of Varga is shown to be applicable to Gadoped CdS through the region of the first reflectivity minumum (2.5 to about 30 μ). The theoretical reflectivity vs wavelength for several concentrations of Ga-doped CdS are compared with experiment. The agreement between theory and experiment is particularly good for high dopant concentrations. A plot of the wavelength at minimum reflectivity vs impurity concentrations shows that the Varga theory does well in explaining the data. When phonon damping is introduced into the Varga dielectric function, the reflectivity over the whole region of resonance is more realistic. …

Modified Phase Representation And Effects Of Inelasticity In N/D Calculation Of P-Wave Pion-Pion Scattering, Barbara N. Hale, Arnold Tubis

Physics Faculty Research & Creative Works

An N/D formalism based on a modified phase representation is used to study the effects of inelasticity on the ρ-wave pion-pion amplitude. The effects of high-energy inelasticity are introduced in terms of the assumed behavior of the high-energy phase (not phase shift) of the partial-wave amplitude. Using a ρ-exchange input force with the experimental ρ mass and a ρ width of about 100 MeV, and the assumption that the average phase is (1/2)π, for total c.m. energies greater than about 8M_π, we find that there is no appreciable reduction in the width of the calculated ρ-wave resonance. We …

Critical Assessment Of The Polarized-Orbital Method In Atomic Scattering, Marvin H. Mittleman, Jerry Peacher

Physics Faculty Research & Creative Works

The method of polarized orbitals used in calculating electron-atom scattering amplitudes has two obvious flaws: the wave function is discontinuous, and the method is not variationally based. These are corrected in a somewhat arbitrary manner, and it is found that the results then depend upon a parameter of the theory sufficiently strongly that there are serious doubts about the predictive nature of the theory.

Modified Dispersion Relations And Π Π Scattering, David J. George, Barbara N. Hale, Arnold Tubis

Physics Faculty Research & Creative Works

The ππ S-wave scattering-length predictions of Weinberg have been tested by using dispersion sum rules for the infinite-energy cross section. Reasonable agreement is obtained with the infinite-energy cross section (≈15 mb) estimated from the factorization theorem for the Pomeranchon Regge residues. Experimental phase-shift data of Gutay et al., Walker et al., and Baton et al. are used in estimating the dispersion integrals. The analysis seems to rule out an I = 0 S-wave scattering length ⪞0.4μ^-1.

Preface, Paul Dean Proctor

UMR Journal -- V. H. McNutt Colloquium Series

The distinguished authors of these tectonic studies, which span the United States from the Atlantic continental shelf margin to the Pacific coast, need no introduction to the geologic profession. Each was selected as a participant in the V. H. McNutt-Geology Department Colloquium because of his intimate knowledge and thorough research on the tectonic development of the area on which he reports. The authors publicly presented their papers during the Spring of 1966 on the campus of the University of Missouri at Rolla (formerly University of Missouri School of Mines and Metallurgy). The colloquium volume is unique in that such a …

The Atlantic Continental Margin, Bruce C. Heezen

UMR Journal -- V. H. McNutt Colloquium Series

Turbidity currents, surface, and subsurface currents carry detritus from the land across the continental shelf to the adjacent continental slope where slumps and turbidity currents transport the sediment downslope for hundreds of miles to greater depths, and deep geostrophic contour currents transport it thousands of miles down-current in a direction parallel to the bathymetric contours. The combined effect of these processes has been to create a wide, thick, geosynclinal apron of sediment at the base of the continental slope.

Subsidence of the continental shelf has continued since mid-Mesozoic, carrying down Lower Cretaceous reefal limestones to depths of 5,000 meters off …

Tectonic History Of Midcontinental United States, Frank G. Snyder

UMR Journal -- V. H. McNutt Colloquium Series

Metasediments of Middle Precambrian, and possibly some of earlier age, form an arcuate trending belt across Missouri, Kansas, and Nebraska. These were intruded by granites of several ages that appear to be part of a continuous wave of Late Precambrfan igneous activity. Late Precambrian events that can be delineated include, besides the igneous activity and formation of iron deposits, development of a Keweenawan basin that extended from Lake Superior into eastern Kansas; igneous activity and metamorphism of Grenville age in the eastern Midcontinent; development of a major fault lineament extending northeastward from northeast Arkansas into the Canadian shield outcrop area …

Umr Journal: A Coast To Coast Tectonic Study Of The United States, University Of Missouri--Rolla

UMR Journal -- V. H. McNutt Colloquium Series

The UMR Journal publishes scholarly papers of scientific research and humanistic studies. These publications are distributed from Rolla, Missouri, as exchanges to scientific and humanistic institutions and libraries throughout the world.

Major Structures Of The Rocky Mountains Of Colorado And Utah, A. J. Eardley

UMR Journal -- V. H. McNutt Colloquium Series

This paper describes the major structures of Colorado and Utah and presents a theory of origin based on new knowledge of the layering and constitution of the upper mantle and lower crust. It proposes that the Ancestral Rockies and the more modem ones of Cretaceous and early Tertiary age of both the shelf of Colorado and eastern Utah and the miogeosyncline of western Utah are the result of vertical uplifts of the silicic crust. The uplifts are caused by the rise, from the upper mantle, of basalt in scattered places to the base of the silicic crust. This rise domed …

Profile Of The Folded Appalachians Of West Virginia, Byron N. Cooper

UMR Journal -- V. H. McNutt Colloquium Series

The Appalachian folded belt of southwestern Virginia exemplifies most of the structural and stratigraphic features that are considered typical of the Appalachians as a whole. The folded belt which is only 36 miles wide along the valley course of New River is generally well-defined on the southeast by the western foothills of the Blue Ridge and on the northwest side by a sharp structural front beyond which the beds are relatively gently folded.

Despite the fact that Paleozoic shelf successions of the Central Interior region are known to have controlled the thickness and facies of sedimentary formations within them and …

Geologic Structure And History Of The Sierra Nevada, Paul C. Bateman

UMR Journal -- V. H. McNutt Colloquium Series

The Sierra Nevada is a huge block of the earth’s crust that has broken free on the east and has been tilted westward. It is composed chiefly of Mesozoic granitic rocks and Paleozoic and Mesozoic metamorphosed sedimentary and volcanic rocks. The granitic rocks constitute the Sierra Nevada batholith, which is part of a more or less continuous belt of plutonic rocks that extends northward from Baja California through the Sierra Nevada at a small angle to the axis of the range and into western Nevada. The batholith is localized in the axial region of a complexly faulted synclinorium. It is …

Tectonic Framework Of The Great Basin, Ralph J. Roberts

UMR Journal -- V. H. McNutt Colloquium Series

The Great Basin is bordered on the west by the Sierra Nevada and on the east by the Colorado Plateau and Rocky Mountains. These tectonically different provinces are genetically related; basin and range structure evolved as part of the tectonic development of western North America.

The Precambrian framework here is not well known, but northeasterly geosynclinal trends, east- west orogenic trends, and northwesterly fracture zones can be projected from the craton or inferred.

Sedimentation in the Cordilleran orthogeosyncline from Cambrian to Devonian time was characterized by an eastern miogeosynclinal (carbonate) and a western eugeosynclinal (siliceous and volcanic) assemblage. In latest …

The California Coast Ranges, John C. Crowell

UMR Journal -- V. H. McNutt Colloquium Series

Western California between the 37th and 40th parallels is part of an active mobile orogenic belt in which sedimentation, deformation, volcanism, and plutonism have been intimately associated since the mid-Mesozoic. At present, the region is still undergoing folding and warping as shown by data from geodetic triangulation networks and geomorphology, and several major high-angle fault zones are seismically active. These faults continue to acquire displacement both suddenly during earthquakes and slowly by gentle creep with no recordable shocks. Pleistocene beds and terraces at places are steeply warped. Strong deformation occurred during the late Pliocene and early Pleistocene. Most of the …