Physical Sciences and Mathematics Commons^™

One-Dimensional Three-Body Scattering Problem Used As A Testing Ground For The K-Matrix Method For Scattering Reactions Of Complex Systems, D. Rodjak, William Tobocman, Gaurav K. Tandon

Aerospace, Physics, and Space Science Faculty Publications

The scattering reactions of three equal-mass particles constrained to move in a straight line and interacting with each other via zero-range potentials have been analyzed on the basis of the extended R-matrix theory. The simplicity of the model facilitates an exposition of the complexities that result from the existence of rearrangement channels and from the possibility for breakup into three-body channels. The conventional expressions for the K matrix and the T matrix are derived on a rigorous basis. A practical method for approximating the continuum of three-body breakup channels by a discrete set is used to carry out a distorted-wave …

Air Bubbles In An Oceanic Mixed Layer: Effect On Gas Concentrations And Air-Sea Gas Exchange, Larry P. Atkinson

CCPO Publications

This thesis attempts to determine the effect of air bubbles that are entrapped into the surface layers of the ocean by breaking waves on gas concentrations in the ocean and gas exchange across the air-sea interface. N₂ and Ar data gathered during the Hudson-70 expedition produced indications of the magnitude and nature of the effect. A mathematical model is developed that equates the input of gas via bubble solution with the vertical eddy diffusion. Published values for bubble spectra and solution rates are used and assumptions are made concerning the effect of wind on bubble spectra. The model predicts …

A Gastric Battery For Fish, Earl R. Kendle, Larry A. Morris

Nebraska Game and Parks Commission: Staff Research Publications

We previously described, in Transactions of the American Fisheries Society (1965), vol. 94, p. 193-194 “A device for holding objects in the stomachs of fish," consisting of a 1/16-inch plastic rod formed to loop around the isthmus and extend down the gullet into the stomach. This harness was developed to secure an experimental gastric battery, not reported at that time. The battery was intended to power an ultrasonic tracking transmitter.

After 20-day trials of seven combinations of metals in an electrolytic solution of 0.5 percent hydrochloric acid, we chose gold and cadmium for the battery plates on the basis of …

On The Decomposition Of Asynchronous Systems, Robert M. Keller

All HMC Faculty Publications and Research

This paper reports of part of a continuing investigation of parallel computation, in particular, efforts toward understanding the nature of different types of parallel control. The first section defines an asynchronous system to be a simple type of state machine. This was arrived at in an attempt to generalize from the types of control in parallel program schemata and networks of asynchronous modules without bounded delays. Asynchronous systems with output are also defined in a familiar way. The deviation from standard work comes in the definition of a parallel decomposition of asynchronous systems. Some preliminary work on compositions of this …

Nebraska Tractor Test 1110 John Deere 4430 Quad -Range Diesel, Nebraska Tractor Test Lab

Nebraska Tractor Tests

All lest result s were determined from observed data obtained in accordance with SAE and ASAE test code or official Nebraska test procedure. First and second gears were not run as it was necessary to limit the pull in third gear to avoid excessive slippage. Fourth, tenth, eleventh, twelfth, thirteenth, fourteenth , fifteenth and sixteenth gears were not run as test procedure requires only six travel speeds. During maximum drawbar run in 3rd gear the transmission came out of gear twice making it necessary to hold the shift lever in place to complete the run.

Development And Testing Of A Double-Beam Absorption Spectrograph For The Simultaneous Determination Of Different Cations In Water, William H. Dennen

KWRRI Research Reports

Construction and testing of a double-beam absorption spectrographic analysis system using a d. c. arc multielement source has been conducted. An optical system design which brings analytical and reference beams together to illuminate the upper and lower portions of the spectrograph slit has been shown to be functional. However, ad. c. arc will not serve as a multielement source for the intended purposes because of excessive thermal broadening of emission lines.

A direct excitation d. c. arc method was reviewed which can be used for the rapid determination of some cations in water.

Existence Of The Dielectric Constant In Rigid-Dipole Fluids: The Direct Correlation Function, John D. Ramshaw

Physics Faculty Publications and Presentations

The question of whether the dielectric constant ε exists (is well defined) for a finite fluid system of rigid dipolar molecules is reconsidered and reformulated. It is found that this question can most simply be expressed in terms of the behavior of the position‐ and orientation‐dependent direct correlation function c(r₁,ω₁; r₂, ω₂). It is shown that ε exists if c satisfies the following two conditions: (a) c~–φ/kT for |r₁–r₂|>σ, where φ is the dipole‐dipole potential and σ is a length which is large microscopically but small macroscopically. …

Dipole Moments In Thomas-Fermi-Dirac And Thomas-Fermi Theories., Jerry Goodisman

Chemistry - All Scholarship

It is shown that the electronic contribution to the dipole moment, calculated from a solution to the Thomas—Fermi—Dirac or Thomas—Fermi equations, should be equal and opposite to the nuclear contribution. Thus, the Thomas—Fermi—Dirac and Thomas—Fermi theories predict vanishing dipole moments for all molecular systems.

Water Resources News, Volume 4, No. 7, September 1972

Water Current Newsletter

North Loup Project Approved
NWC Endorses Cost-Sharing for All Federal Water Resource Projects
Tuition for Training Courses Imposed by EPA
Water Problems Emphasized by EPA
Environmental Protection Agreement Signed by US-USSR
Hazards Linked with Large-Scale Water Developments
NWC Recommends Enactment of Waterway User Charges
Refuse for Recreational Grounds
Water Development and Population Dispersal
Engineering Short Course
Rare Breed of Fish May Get Dam For Home
World Record Flow Measured on Amazon
Dam Inspection Bill Signed by President
Flood Insurance
Characteristics of Water Resources Research Centers
Drinking Water Legislation

A Mathmatical Model Of Primary Productivity And Limnological Patterns In Lake Mead, Lorne G. Everett

Publications (WR)

The temporal and spatial changes in chemical and biological properties of Lake Mead have been investigated, thereby indicating the sources of water pollution and the time of highest pollution potential. Planktonic organisms have been shown to indicate the presence of water problems. Macro- and micro-nutrient analyses have shown that primary productivity is not inhibited by limiting concentrations. A mathematical model has been developed, tested with one set of independent data, and shown worthy of management utility. Although the model works very well for the Lake Mead area, the physical reality of the Multiple Linear Regression equation should be tested on …

Terminal Talk - The Wofford Connection - September 1972, Wofford College Computer Center

Terminal Talk

No abstract provided.

A Preliminary Bibliography And Lake Index Of The Inland Mineral Waters Of The World, D. B. Mccarraher

Nebraska Game and Parks Commission: Staff Research Publications

This preliminary- bibliography and lake index has been prepared by the author on the basis of information available in the Office of Limnology, Hastings College, Nebraska. Although all source material available there has been searched, it is recognized that many papers, especially those published in regional languages may have been left out. Readers are requested to point out such omissions and any inaccuracies that require correction.

This preliminary bibliography will be circulated among specialists in the subject for corrections to the citations and for suggested additions to the list. It is planned that the paper will then be revised to …

The Relation Between Soil Characteristics, Water Movement And Nitrate Contamination Of Ground Water, Grant W. Thomas, Matthew Mcmahon

KWRRI Research Reports

Soils from several areas in Kentucky were placed in columns and leached with Ca(NO₃)₂. Subsoils high in iron oxide were found to retard the leaching of nitrate very significantly. In other soils, the nitrate moved through as fast as or slightly faster than the water.

Field application of nitrogen to corn was most efficient when done in the spring or summer near the time that the corn takes it up. The one exception to this was a red soil, where fall application of nitrogen resulted in little loss due to the retarding effect mentioned in the …

X-Ray Diffraction Studies On Liquids At Very High Pressures Along The Melting Curve Ii. Sodium, Keith H. Brown, J. Dean Barnett

Faculty Publications

Coherent x-ray diffraction patterns for liquid Na have been extracted from measured patterns at 0.5, 7.5, 17, and 43 kbar along the melting curve. The experimentally determined liquid structure factor and resulting radial distribution function are given at each pressure. The position of the principal x-ray intensity peak is reproducible to within 0.5% and shows shifts of the order of 12%. The resulting nearest neighbor distance in the radial distribution function also shifts 12% but is reproducible only to approximately 2%. The distribution functions obtained at points along the melting curve suggest a simple dimensional compression or scaling; however, a …

X-Ray Diffraction Studies On Liquids At Very High Pressures Along The Melting Curve. I. Methods And Techniques, Keith H. Brown, J. Dean Barnett

Faculty Publications

A technique using the tetrahedral anvil high-pressure x-ray system has been developed to extract coherent x-ray intensity patterns of liquids near melting from measured scattering curves in the presence of high-background counts. Radial distribution functions for liquids along the melting curve to pressures of at least 50 kbar can be obtained. At each pressure scattering curves are recorded for the liquid and solid on opposite sides of the melting curve and a subtraction is made to eliminate background and incoherent scattering. Theoretical estimates of the thermal diffuse scattering from the solid are added to the appropriately corrected difference patterns to …

New Method For Generating Density Expansions, John D. Ramshaw

Physics Faculty Publications and Presentations

The calculus of finite differences is used to develop a new method for expressing the thermodynamic limit of a reasonably arbitrary statistical?mechanical average as a power series in the number density ?. The method is simple, straightforward, and purely analytic: it involves no intermediate expansion in powers of the activity and it avoids the use of graph theory. Moreover, the method is developed independently of the prescription for computing the statistical average, a fact which lends to the results an especially wide range of applicability. In particular, these results may be used in classical or quantum statistical mechanics, for intermolecular …

Raman Scattering From Zns Polytypes, J. Schneider, Roger D. Kirby

Roger Kirby Publications

The Raman spectra of the 2H and 4H structures of ZnS have been measured between room temperature and 60 K, and compared with the spectra from zinc blende ZnS. The observed phonons in each case are in good agreement with those expected from the known structural differences.

Frenkel Defects In Alkali Halides, Paul Schulze, John Hardy

John R. Hardy Papers

The method of lattice statics and the deformation dipole model have been applied to Frenkel defects in ionic crystals. For isolated interstitials, all short-ranged repulsive and Coulomb-defect host-lattice ion forces were evaluated at the relaxed configuration. The zero-order Coulomb force was allowed to act on the remainder of the host-lattice ions past first neighbors. We have calculated Frenkel-pair formation energies, ionic displacements, and ionic polarizations in the twelve Na, K, Rb halides. Our results show over all that, in ionic crystals of the rocksalt structure, Schottky defect pairs are more likely to be present than Frenkel defect pairs.

Terminal Talk - The Wofford Connection - August 1972, Wofford College Computer Center

Terminal Talk

No abstract provided.

Nuclear-Magnetic-Resonance Study Of Co2+ In Cds, David C. Look, Donald R. Locker

Physics Faculty Publications

Nuclear spin-lattice relaxation times, T₁, have been measured over a temperature range T=(1.1-300) °K and frequency range ν=2-15 MHz in a single crystal of CdS doped with 13-ppm cobalt. Minima in T₁ vs T are observed, and absolute values of the effective electron relaxation time, τ_e, may be calculated at the temperatures of the minima, e.g., at 14 °K, τ_e=8.0×10^-8 sec. At low temperatures, T≲5 °K, τ_e is dominated by a resonant Orbach process involving the two ground-state Kramers doublets (S=±3/2 and S=±1/2) which, according to our measurements, are split by …

Semiclassical Theory Of Inelastic Collisions I. Classical Picture And Semiclassical, John B. Delos, W. R. Thorson, Stephen Knudson

Arts & Sciences Articles

This series of papers is concerned with the derivation of the equations of the classical picture of atomic collisions, iℏddtdi(t)=Σjhij(t)dj(t), which describe the "time" dependence of electronic-quantum-state amplitudes as the nuclei move along a classical trajectory. These equations are derived in two ways. In the first formulation, which coincides with the intuitive classical picture of the collision, the nuclear part of the wave function is treated as a superposition of narrow wave packets, each traveling along a classical trajectory. In the second formulation, a semiclassical approach is used. The validity and meaning of the two formulations are discussed and compared.

Physical And Geological Studies Of The Proposed Bridge-Tunnel Crossing Of Hampton Roads Near Craney Island, C. S. Fang, B. J. Neilson, A. Y. Kuo, R. J. Byrne, C. S. Welch

Reports

Part 1: James River Hydraulic Model Tests

Part 2: Impact on Shoreline, Hampton Flats and Newport News Point Area

Part 3: Drogue Study, Hampton Flats and Newport News Point

Part 4: Hydraulic Model Test Results

The Reactions Of Sodium Naphthalenide With Carbonyl Compounds And Esters, Manhar Vora

Masters Theses & Specialist Projects

The purpose of this investigation was to study the reactions of sodium naphthalenide with various carbonyl and acyl compounds. J. W. Stinnett, Jr. investigated aspects of the reactions of carbonyl compounds and that study was expanded. The major emphasis, however, was to extend the investigation to the reactions of esters. With regard to the reactions of esters, it was thought that sodium naphthalenide might provide a synthetic advantage, as compared to the sodium metal solutions, in the reduction of the acyl compounds to their corresponding acyloins.

Location Of Solution Channels And Sinkholes At Dam Sites And Backwater Areas By Seismic Methods: Part Ii, Vincent P. Drnevich, D. Raghu

KWRRI Research Reports

Four seismic field methods and a laboratory method are used to determine shear wave propagation velocities and shear moduli for two sites. The four seismic methods are: standard seismic refraction survey, down hole shooting refraction survey, transient Rayleigh wave survey, and crosshole shooting survey. A torsional resonant column apparatus was used for the laboratory tests. The cross hole shooting method gave the best results because direct measurements were made. Criteria for using this method are given. Methods which measure compression wave velocity give inconsistent results because the conversion to shear wave velocity is very sensitive to Poisson's ratio. Laboratory tests …

Location Of Solution Channels And Sinkholes At Dam Sites And Backwater Areas By Seismic Methods: Part I, Vincent P. Drnevich, S. R. Smith, E. P. Cleveland

KWRRI Research Reports

The basic concepts associated with the sledge hammer seismic refraction survey are reviewed and a modified version called down hole shooting is discussed. The latter method has distinct advantages for rock surface profiling. These include: calibration at the end points of the survey, measurement of vertical wave propagation velocities directly, and having a refracted wave ray path for almost the entire survey length.

The down hole shooting seismic refraction survey has been simulated with the digital computer. The method can handle any shaped rock surface profile and generates corresponding travel time curves for the forward and reverse profile surveys. This …

Eikonal Approximation For Coupled Equations For Multichannel Scattering, Rung T. Ling, Joseph C.Y. Chen, Jerry Peacher, Kenneth M. Watson

Physics Faculty Research & Creative Works

It is well known that the Glauber approximation for scattering amplitudes is obtained by applying the eikonal approximation to the Fourier transform of the transition operator. The eikonal approximation can also be applied to the coupled equations of scattering obtained by the expansion of the state function in terms of a suitable set of functions. The scattering amplitude can thus be obtained by solving the set of eikonal coupled equations. The latter approach is analyzed for a special class of channel-coupling potentials. The first-order approximation to the derived eikonal coupled equations is the eikonal Born approximation. Numerical illustrations in this …

Semiclassical Theory Of Inelastic Collisions Ii. Momentum Space Formulation, John B. Delos, Walter R. Thorson

Arts & Sciences Articles

The time-dependent equations of the classical picture of inelastic collisions (classical-trajectory equations) are derived using the momentum-space semiclassical approximation. Thereby it is shown that the classical-trajectory equations remain valid in the vicinity of classical turning points provided that (a) the momentum-space semiclassical approximation is valid, (b) the trajectories for elastic scattering in the various internal states differ only slightly, and (c) the slopes of the elastic scattering potentials have the same sign. A brief review of the existing derivations of the classical-trajectory equations is given, and the general conditions for their validity are discussed.

Studies Of The Potential Curve Crossing Problem Ii. General Theory And A Model For Close Crossings, John B. Delos, W. R. Thorson

Arts & Sciences Articles

A unified formal treatment of the two-state potential-curve-crossing problem in atomic collision theory is presented, and the case of close crossings analyzed in detail. A complete solution for this case, including necessary computations, is given using a suitable generalization of the linear model originally suggested by Landau, Zener, and Stueckelberg. Our solution is based upon a hierarchy of approximations concerned with (i) choice of a discrete basis set for electronic coordinates, (ii) semiclassical treatment of the nuclear motion, (iii) an appropriate model for the two-state electronic Hamiltonian, and (iv) a complete solution to that model.

X-Ray Irradiation Apparatus In Which An X-Ray Source Is Energized Upon The Recording Of Irradiation Dosage Data, George S. Hurst, Norbert Thennard, Karl A. Schneider

Physics and Astronomy Faculty Patents

Apparatus for use in examining or treating patients with X-radiation or the like requires the making of a permanent record of the radiation applied. The operation of the radiation source is controlled in dependence upon the making of the record and the to radiation, or dose exposure is limited to a predetermined amount. A method is disclosed for safeguarding the patient and for producing a tangible record of the dose to which the patient is subjected.

Reducing Uncertainty, Richard C. Heyser

Unpublished Writings

Intended for audio engineers, Richard C. Heyser meant for this paper to bring attention to the misapplication of the theoretical concept, the Uncertainty Principle. Heyser argues that this concept has been "freely applied without regard to the errors which may result due to lack of understanding of its derivation."