Physical Sciences and Mathematics Commons^™

On The Ising Model For Amorphous Ferromagnets, Harry A. Brown

Physics Faculty Research & Creative Works

A calculation is made of the effect on the critical temperature of a ferromagnet whose exchange integrals are taken to be random variables. The Bethe-Peierls-Weiss approximation is used to find the partition function, Z, for an Ising system and then a configuration average is taken to find (InZ), from which the resulting decrease in the critical temperature can be found. Other results are discussed, and comparisons made with the present result.

The Michigan Basin, L. L. Sloss

UMR Journal -- V. H. McNutt Colloquium Series

The Michigan basin is widely acknowledged to be the archetype among those basins of cratonic interiors whose subsidence is dominated by flexure rather than faulting. Broadly ovate in plan over an area of some hundreds of thousands of square kilometers, with a preserved Phanerozoic sediment thickness exceeding 4 km accumulated during distinct episodes of subsidence over a 500-million year span, the basin is endowed with significant fossil-fuel resources.

The basin area is crossed, from north-northwest, by a rift zone filled with mafic igneous rock and great thickness of sedimentary rock resting on Archean and Middle Proterozoic crystallines. Rifting is presumably …

Geology And Energy Resources Of The Arkoma Basin, Oklahoma And Arkansas, Boyd R. Haley

UMR Journal -- V. H. McNutt Colloquium Series

The Arkoma basin is a structurally defined basin that underlies an area of about 13,000 sq. mi. It extends from Little Rock, Arkansas, to Atoka, Oklahoma. The rocks in the basin grade upward from dolomite, some limestone, sandstone (Upper Cambrian to Upper Devonian) to shale and limestone (Upper Devonian to Lower Pennsylvanian) to shale, limestone, and sandstone (Lower Pennsylvanian) to shale and sandstone (Middle Pennsylvanian). The sediments that formed rocks in the lower part of the Atoka formation on the south side of the basin were deposited in a deep-water environment. All other sediments in the basin were deposited in …

Basement Rocks Of The Main Interior Basins Of The Midcontinent, Edward C. Lidiak

UMR Journal -- V. H. McNutt Colloquium Series

The basement underlying the deeper basins in the Midcontinent is not well known because of the considerable thickness of overlying sedimentary rocks. However, gravity and magnetic surveys and sparse wells to basement suggest that deeper intracratonic basins are characteristically underlain by denser and more magnetic rocks than in adjacent areas. This correlation has important bearing on understanding the tectonic development and geologic history of Midcontinent basins.

The Michigan basin is underlain by prominent, linear gravity and magnetic highs that extend across the southern peninsula. A recent deep well to basement encountered basalt overlain by red clastic sedimentary rock. The combined …

Umr Journal: Selected Structural Basins Of The Mid-Continent, U.S.A., University Of Missouri--Rolla

UMR Journal -- V. H. McNutt Colloquium Series

No abstract provided.

Geologic-Tectonic History Of The Area Surrounding The Northern End Of The Mississippi Embayment, H. R. Schwalb

UMR Journal -- V. H. McNutt Colloquium Series

Since Precambrian time, zones of weakness have been repeatedly but infrequently reactivated in the Mississippi Embayment area. All of the major folds and many of the minor anticlines caused by this activity are associated with faults in the basement rocks. The latest occurrence of major tectonic activity (perhaps Early Cretaceous), however, not only affected the old fault zones but also created a vast new feature, the Pascola arch, which has no Paleozoic antecedent. Severe erosion and subsequent Tertiary subsidence associated with the Pascola arch indicate that this structure alone is the locus of present-day major earthquake activity. Until the time …

Structure Of The Salina-Forest City Interbasin Boundary From Seismic Studies, Don W. Steeples

UMR Journal -- V. H. McNutt Colloquium Series

As petroleum exploration efforts in the Midcontinent become directed toward smaller fields and the search for minerals is extended into new areas, the edges of the Salina and Forest City basins will become of increased interest to industry. The principal boundary feature between the two basins is the Nemaha ridge, a linear feature that extends from near Omaha, Nebraska, to near Oklahoma City, Oklahoma. Recent seismic studies at the Kansas Geological Survey have revealed a complex array of faulted and folded structures in the vicinity of the Humboldt fault zone (the eastern flank of the Nemaha ridge). Faulting of both …

Geological Evolution And Energy Resources Of The Williston Basin, Lee C. Gerhard

UMR Journal -- V. H. McNutt Colloquium Series

The Williston basin of North Dakota, Montana, South Dakota, and south-central Canada (Manitoba and Saskatchewan) is a major producer of oil and gas, lignite, and potash. Located on the western periphery of the Phanerozoic North American craton, the Williston basin has undergone only relatively mild tectonic distortion during Phanerozoic time. This distortion is largely related to movement of Precambrian basement blocks.

Sedimentary rocks of cratonic sequences Sauk through Tejas are present in the basin. Sauk, Tippecanoe, and Kaskaskia Sequence rocks are largely carbonate, as are the major oil and gas producing formations. Absaroka and Zuni rocks have more clastic content, …

Electron Drift Velocities In Xenon, H. L. Brooks, M. C. Cornell, John L. Fletcher, Ian M. Littlewood, Kaare J. Nygaard

Psychological Science Faculty Research & Creative Works

The electron drift velocity has been measured in xenon over the range of reduced field strength 1 Td

Preface, Paul Dean Proctor, John W. Koenig

UMR Journal -- V. H. McNutt Colloquium Series

The UMR Journal has had an interesting but somewhat sporadic history. The topics of papers that appeared in UMR Journal 1 in 1968 under the general title of “A Coast to Coast Tectonic Study of the United States” covered the major tectonic features of the contiguous United States from the margin of the Atlantic continental shelf to the Pacific coast. Each paper was authored by a recognized expert for the specific province reviewed. UMR Journal 2, which was published in 1971, related to “Alaska—Its Mineral Potentials and Environmental Challenges”. This UMR Journal 3 emphasizes the geology, genesis, and energy resources …

Isotope Effect In Electron-Capture Differential Cross Sections At Intermediate Energies, Eduard P. Rille, Ronald E. Olson, Jerry Peacher, D. M. Blankenship, Thomas J. Kvale, E. Redd, John T. Park

Physics Faculty Research & Creative Works

The isotope dependence in the angular distribution of electron-capture cross sections for protons and deuterons with equal velocity (E=40 keV/u) colliding with atomic hydrogen or deuterium targets is predicted theoretically and observed experimentally. A projectile-dependent effect is observed at small scattering angles. No target dependence was detected in the differential cross sections. A scaling relationship is determined which permits the prediction of differential cross sections for hydrogen-isotope projectiles.

Electron Capture And Ionisation In H⁺, He2++Li Collisions, Ronald E. Olson

Physics Faculty Research & Creative Works

Single electron capture and ionization cross sections have been calculated for H++Li and He2++Li collisions at energies ranging from 50 to 400 keV amu-1. Double electrons capture cross sections are presented for the He2++Li system. The classical-trajectory Monte Carlo method and the independent-electron model were used to calculate the cross sections. In the energy range investigated, the ionization process is dominated by electron removal of the valence Li(2s) electron, whereas the single and double electron capture processes are the result of capture from the K shell of the lithium atom.

Angular Scattering In Slow Multiple-Charged Ion, Atom Collisions, Ronald E. Olson, M. Kimura

Physics Faculty Research & Creative Works

The C6++H system is used to illustrate the importance of large-angle scattering in collisions between slow multiply charged ions and atoms. A quantum mechanical description based on a diabatic formalism of the collision system is used to obtain differential cross sections for electron capture in the relative velocity range nu =1*107 to 3*107 cm s-1 (Ecm approximately=48 to 430 eV). The threshold for angular scattering is at E theta approximately=0.2 keV deg which correlates with the curve crossing between initial and final molecular states located at Rx approximately=8a0. The centre-of-mass acceptance angles required to observe fixed fractions of the total …

Nonlinear Anelasticity Of Magnesium, Alexander Aning, Tetsuro Suzuki, Manfred Wuttig

Physics Faculty Research & Creative Works

An approximate solution of the equation of motion of a nonlinear anelastic reed at or near resonance is presented. The steady state solution reproduces the well-known nonlinear resonances. The solution also predicts the existence of auto modulations, i.e., self-excited modulations of the amplitude and phase at constant power of excitation of the reed. Numerical examples of such auto modulations are presented for an antisymmetric deformation potential. Experimental studies of finite amplitude oscillations of a magnesium reed vibrating at 72 and 431 Hz at room temperature confirm the existence of auto modulations. The experimental results can be semi quantitatively described in …

Elastic Differential Cross Sections For Small-Angle Scattering Of 25-, 50-, And 100-Kev Protons By Helium Atoms, Jerry Peacher, Thomas J. Kvale, E. Redd, Paul J. Martin, D. M. Blankenship, Eduard P. Rille, V. C. Sutcliffe, John T. Park

Physics Faculty Research & Creative Works

The first measurements of elastic differential cross sections have been carried out for 25-, 50-, and 100-keV protons scattered through very small angles by helium atoms. The University of Missouri Rolla energy-loss spectrometer provided the required high angular resolution and also separated the elastically scattered ions from the inelastically scattered ions. The data are compared to our Born, Glauber, and classical calculations as well as a four-state calculation. All of the measured elastic differential cross sections are more sharply peaked than theory for the smallest scattering angles. At the larger scattering angles all of the measured elastic differential cross sections …

Selective Deposition Of Sio2 Thin Films In Acid Baths, M. A. Smith, L. L. Levenson

Physics Faculty Research & Creative Works

We report observation of deposition of SiO₂ thin films on a variety of surfaces in nitric acid and hydrochloric acid solutions. Scanning electron microscopy shows that the films are composed of closely packed spheres 1000 Å in diameter. Chemical identification is made with Auger electron spectroscopy. The films are generally between 1000 and 2000 Å thick and are possibly hydrated. Deposition occurs in either acid for molarities in the 1-8 M range and at temperatures between 80 and 100 °C. The effects for molarities greater than 8 M and temperatures greater than 100 °C have not been investigated. Materials …

Monte Carlo Studies Of Water Monolayer Clusters On Substrates: Hexagonal Agi, Richard C. Ward, Jon M. Holdman, Barbara N. Hale

Physics Faculty Research & Creative Works

A Monte Carlo procedure is used to study the stability and structure of small water clusters adsorbed on model basal and prism faces of hexagonal AgI. Effective pair potentials for the H₂O-AgI interaction [B. N. Hale and J. Kiefer, J. Chem. Phys. 73, 923 (1980)] and the revised central force potentials for the H₂O-H₂O interaction [F. H. Stillinger and A. Rahman, J. Chem. Phys. 68, 666 (1978)] are used to determine average internal cluster binding energy and average cluster-substrate binding energy for water clusters containing 6, 24, and 44 water molecules at temperatures 240, …

Binary Collision Dynamics And Numerical Evaluation Of Dilute Gas Transport Properties For Potentials With Multiple Extrema, James C. Rainwater, Paul M. Holland, Louis Biolsi

Chemistry Faculty Research & Creative Works

Prediction of gaseous transport properties requires calculation of Chapman-Enskog collision integrals which depend on all possible binary collision trajectories. The interparticle potential is required as input, and for a variety of applications involving monatomic gases the Hulburt-Hirschfelder potential is useful since it is determined entirely from spectroscopic information and can accomodate the long-range maxima and minima found in many systems. Hulburt-Hirschfelder potentials are classified into five distinct types according to their qualitative binary collision dynamics, which in general can be quite complex and can exhibit “double orbiting”, i.e., a pair of orbiting impact parameters for a single energy of collision. …

The Subjective Nature Of Programming Complexity, Daniel G. Mcnicholl, Kenneth I. Magel

Computer Science Faculty Research & Creative Works

One of the more difficult problems confronting software engineers today is the construction of accurate predictive models of the software development process, [21,[8] and [93. It has long been recognized that one of the most essential elements of any successful model of this process is a quantification of the complexity of software systems. During the past several years a great deal of work has been performed by researchers such as Halstead [3], McCab [5], and others in an attempt to develop metrics which adequately capture the complexity of software systems. Yet one very important aspect of software development complexity seems …

Structural And Magnetic Properties Of Y(Al₁₋ₓfeₓ)₁₂, Ying-Chang Yang, Gary J. Long, William Joseph James, R. Yeh

Chemistry Faculty Research & Creative Works

In order to investigate the magnetic behavior of 3d atoms in the ThMn₁₂‐type structure, the structured and magnetic properties of Y(Al_1-xFe_x)₁₂ were studied by Mössbauer spectroscopy and magnetization measurements. The Y(Al_1-xFe_x)₁₂ intermetallic compounds crystallize in the ThMn₁₂‐type structure for x in the range of 0.3-0.5. The results can be explained on the basis of the preferential atomic ordering observed in the ternary compounds. The compounds are ferromagnetic with Curie temperatures of 130, 170, and 280 K, respectively, for x values of 0.3, 0.4, and 0.5.

A Theory Of Small Program Complexity, Kenneth I. Magel

Computer Science Faculty Research & Creative Works

Small programs are those which are written and understood by one. person. Large software systems usually consist of many small programs. The complexity of a small program is a prediction of how difficult it would be for someone to understand the program. This complexity depends of three factors: (1) the size and interelationships of the program itself; (2) the size and interelationships of the internal model of the program's purpose held by the person trying to understand the program; and (3) the complexity of the mapping between the model and the program. A theory of small program complexity based on …

Stochastic Modeling Of Individual Resource Consumption During The Programming Phase Of Software Development, Daniel G. Mcnicholl, Kenneth Magel

Computer Science Technical Reports

In the past several years there has been a considerable amount of research effort devoted to developing models of individual resource consumption during the software development process. Since many conditions affect individual resource consumption during the software development process, including several which are difficult if not impossible to quantify, it is our contention that a stochastic model is more appropriate than a deterministic model.

In order to test our hypothesis we conducted an experiment based upon several student programming assignments. Data from this experiment is used to demonstrate that the two parameter Log-Normal distribution is appropriate for describing the probabilistic …

The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

A method is given for generating random intermediate points for a sequence of partitions. For the corresponding random Riemann sums it is shown that they converge almost surely to the Lebesgue integral. © 1982 American Mathematical Society.

Tauberian Conditions For V-Convergence Of Fourier Series, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that Fourier series with asymptotically even coefficients and satisfying (formula present here), for some 1 < p < 2, con­verge in L1-norm if and only if (formula present here), where En(t) =Σk=0neiktRecent results of Stanojevic [1], Bojanic and Stanojevic [2], and Goldberg and Stanojevic [3] are special cases of some corollaries to the main theorem. © 1982 American Mathematical Society.

A Note On Fixed-Point Theorems, Troy L. Hicks, M. D. Humphries

Mathematics and Statistics Faculty Research & Creative Works

In an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces. © 1982.

Conjugate Type Boundary Value Problems For Functional-Differential Equations, P. W. Eloe, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Class Of L¹-Convergence, R. Bojan1c, C. V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that if the Fourier coefficients (an) of /E L!(0, ir) satisfy (*)L" kp\Aan\p = o(l), for some 1

< 2, then \\sn- f\\ = o(l), if and only if a" lg n * o(l). For cosine trigonometric series with coefficients of bounded variation and satisfying (*) it is proved that a necessary and sufficient condition for the series to be a Fourier series is (an) E 6, where G is the Garrett-Stanojevic [4] class. © 1982 American Mathematical Society.

The University Of Missouri-Rolla, Absolute Aitken Nucleus Counter, John L. Schmitt, James L. Kassner, Josef Podzimek

Physics Faculty Research & Creative Works

The authors discuss the expansion cloud chamber system known as the University of Missouri-Rolla-absolute Aitken nucleus counter. A review of the properties of an expansion chamber and how it creates a supersaturation are given and a critical examination is made of the assumptions in its operation, e.g. adiabaticity of the expansion. The design of the chamber is described in detail and an analysis of the propagation of errors is given for quantities measured and calculated. A short review of the performance of the chamber and some general comments relative to comparisons with other Aitken nucleus counting instruments are given. The …

A Study Of The Critical Cluster Size For Water Monolayer Clusters On A Model Agi Basal Substrate, Richard C. Ward, Barbara N. Hale, Sergio Terrazas

Physics Faculty Research & Creative Works

We present a formalism and estimate a critical cluster size for water monolayer formation on a (rigid) model AgI basal substrate. The formalism is modified from that developed for vapor clusters [B. N. Hale and R. C. Ward, J. Stat. Phys. 28, 487 (1982)] and uses a Metropolis Monte Carlo method developed by Squire and Hoover [J. Chem. Phys. 50, 701 (1969)] to determine (Helmholtz) free energy differences for clusters containing n and n-1 molecules. Calculations for clusters of n=1, 2, 3, 4, 6, and 24 water molecules on a model AgI basal face at 265 K are …

Homogeneous Nucleation Of Ethanol, John L. Schmitt, G. W. Adams, R. A. Zalabsky

Physics Faculty Research & Creative Works

The authors have used an expansion cloud chamber to measure homogeneous nucleation rate as a function of temperature and supersaturation in ethanol. Nucleation rates from 102 to 105 drops/cm3 sec were measured in the temperature range 252-272 °K. An empirical functional fit to the data is used to extrapolate for comparison with other data in the literature at a nucleation rate of 1 drop/cm3 sec and to compare with the predictions of the classical Becker-Doring homogeneous nucleation theory. A full listing of the data and thermodynamics constants used in the reduction of the data is given in an appendix. © …