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Full-Text Articles in Physical Sciences and Mathematics

Separation Of The N-Sphere By An (N - 1)-Sphere, James C. Cantrell Dec 1961

Separation Of The N-Sphere By An (N - 1)-Sphere, James C. Cantrell

Masters Theses

In this thesis we consider certain (n-1)-spheres embedded in S^n (we will frequently use the fact that S^n is topologically equivalent to the one point compactification of E^n). The problem is then to establish the existence or non-existence of certain topological properties of the two domains into which S^n is separated by the given (n-1)-spheres.


Buttressing Effect In 3, 3' -Disubstituted-2, 2' -Three-Carbon-Atom Bridged Biphenyls, Yunn Hui Chiang Sep 1961

Buttressing Effect In 3, 3' -Disubstituted-2, 2' -Three-Carbon-Atom Bridged Biphenyls, Yunn Hui Chiang

Masters Theses

Introduction

The configuration of biphenyl has been the subject of much investigation and many recent reviews (1, 5, 6, 7, 8, 17, 21, 22). Of particular interest has been the configuration of 2,2' -bridged biphenyl derivatives. The preparation of an optically active 2,2' -three-carbon-atom-bridged biphenyl having an ultraviolet absorption maximum at 250 mμ, has been recently described (14). Although the compound was easily racemized, this property requires that a non-planar configuration be assigned to this biphenyl (I). Furthermore, this ultraviolet spectra indicates that inter-ring conjugation must exist in the non-planar configuration.


The Reaction Of N, N-Disubstituted Ketohydrazones With Lead Tetraacetate, Elisabeth Cerda Jun 1961

The Reaction Of N, N-Disubstituted Ketohydrazones With Lead Tetraacetate, Elisabeth Cerda

Masters Theses

Introduction

The reaction of lead tetraacetate with compounds of the following general structure (not able to enter here) was first reported by Iffland and Criner (12). In the case of ketoximes (A = oxygern), a nitrosoacetate was produced which was oxidized to the more stable acetoxy-nitrocompound as follows: (not able to enter here)

The generality of the reaction was established by preparation of a series of acetoxy-nitrocompounds from alicyclic and aliphatic ketoximes. The apparently similar reaction of cyclohexanonephenylhydrazone (A = N-¢) with lead tetraacetate was reported, but the reaction product was not identified.


Quantum Kinetic Equations For Plasmas And Radiation; Part Ii. Cyclotron Instabilities In A Bounded Plasma, Philip B. Burt Jun 1961

Quantum Kinetic Equations For Plasmas And Radiation; Part Ii. Cyclotron Instabilities In A Bounded Plasma, Philip B. Burt

Masters Theses

The procedure for obtaining "kinetic" equations for internal distribution functions of a system was first developed by Bogoliubov* (1) in his study of.the properties of un-ionized gases. Bogoliubov also indicated some of the problems which would be encountered in a similar development for systems interacting through long-range Coulomb forces . Born and Green (3) , Kirkwood and collaborators (13, 25) and Yvon (37 ) also studied classical and quantum systems, using techniques similar to those developed by Bogolilibov. However, they too were primarily interested in un-ionized gases and liquids. Recently, Rosenbluth and Rostoker (26) derived kinetic equations for a classical …


Geology Of The East-Central Portion Of The Nelson Quadrangle, Clark County, Nevada, Tedral Kantor Jan 1961

Geology Of The East-Central Portion Of The Nelson Quadrangle, Clark County, Nevada, Tedral Kantor

Masters Theses

"The purpose of this investigation was to determine the unusually complex geology of a little-known area south of the Eldorado mining district, southern Clark County, Nevada. The area, mapped at a scale of 1:24000, comprises a segment of the northerly-trending Eldorado mountains in the southeast corner of the Great Basin. This rugged desert area is on a drainage divide between the Great Basin and the Colorado River. The rocks of the area consist of Precambrian gneisses and schists invaded by successive generations of Upper Cretaceous (?) - Tertiary igneous rocks. The older rocks, mainly biotite-chlorite gneisses, have resulted from high-grade …


Evaluation Of The Force Constants Of Non-Polar Gases From Viscosity Data, Kei-Sin Wei Jan 1961

Evaluation Of The Force Constants Of Non-Polar Gases From Viscosity Data, Kei-Sin Wei

Masters Theses

"The analytical expressions for the transport coefficients (i.e. viscosity, thermal conductivity, and diffusivity) of an ideal gas can be derived from the kinetic theory of gases. It is also possible to make these analytical expressions adequate for real gases if the intermolecular forces of attraction and repulsion for these gases have been taken into consideration.

The intermolecular forces have been studied by many investigators. The Lennard-Jones potential is one of the most realistic semi-empirical statements which represents particularly the intermolecular forces of attraction and repulsion for non-polar gases.

The values of the Lennard-Jones potential parameters or the force constants of …


Certain Trace Element Distribution In The Searchlight, Nevada Quartz Monzonite, Clark County, Nevada, Jai Nandan Shrivastava Jan 1961

Certain Trace Element Distribution In The Searchlight, Nevada Quartz Monzonite, Clark County, Nevada, Jai Nandan Shrivastava

Masters Theses

"The once prosperous gold, silver, copper and lead mines of the Searchlight mining district, Nevada, are situated along the south and western margins of a large quartz monzonite body. This intrudes the Precambrian gneisses and younger lava flows. Associated mineral veins show an eccentric type of zoning around the intrusive.

Seven rock samples of the quartz monzonite representing different parts of the intrusive were analyzed petrographically and spectrographically. Modal analyses and various types of rock alteration were investigated petrographically. Spectrochemical analyses of the rock samples and their major minerals were carried out for certain trace elements. A semi-quantitative method was …


A Theoretical Investigation Of Periodic Precipitation, Jack M. Scrivner Jan 1961

A Theoretical Investigation Of Periodic Precipitation, Jack M. Scrivner

Masters Theses

"The problem of periodic precipitation in solution or gel is considered from the standpoint of supplementing the simple diffusion equation with chemical reaction rate terms. This addition has the effect of making the differential equations of the process non-linear.

The system of equations admits of a periodic, steady-state solution under certain conditions, but lack of experimental values for the parameters prohibits a definite statement as to whether or not the model is valid"--Abstract, page ii.


The Magnetic Monopole, Thomas E. Kemple Jan 1961

The Magnetic Monopole, Thomas E. Kemple

Masters Theses

"Since Dirac has shown that the concept of a magnetic monopole follows from the fundamental laws of quantum mechanics and that it imposes quantization of electric charge, one has reason for taking the magnetic monopole seriously. Such particles, if they exist, would also give symmetry to Maxwell's equations.

A comprehensive review of the literature is presented and all known properties of magnetic poles are discussed. Scattering of mono- poles by heavy nuclei is analyzed in detail and definite mathematical relations are established. All previous experimental work known is outlined and discussed. Definite criteria for identification of monopole tracks in a …


Normal Incidence - Grazing Incidence Spectrograph For The Vacuum Ultraviolet, J. Kirston Henderson Jan 1961

Normal Incidence - Grazing Incidence Spectrograph For The Vacuum Ultraviolet, J. Kirston Henderson

Masters Theses

"Presentation of Design.

This thesis presents the design for a combination normal incidence - grazing incidence spectrograph for use in the vacuum ultra-violet and soft x-ray portions of the electromagnetic spectrum. The instrument described was designed and constructed as a partial fulfillment of the requirements for the master of science degree from The Missouri School of Mines and Metallurgy.

Design Details.

Included in this thesis is a complete set of all detailed drawings and information required for either effective use or duplication of this instrument. Complete discussions of the design, operating procedures, difficulties encountered during construction and suggestions for future …


Certain Features Of Alteration In The Michigan Lavas And Their Genetic Interpretation, Peethambaram Doraibabu Jan 1961

Certain Features Of Alteration In The Michigan Lavas And Their Genetic Interpretation, Peethambaram Doraibabu

Masters Theses

"The origin of the alteration and copper mineralization in the Keweenawan lavas of the Upper Peninsula of Michigan is one of the well known controversial topics in Economic Geology. The literature on this problem is most extensive and an attempt was made in this thesis to first review as many aspects of the discussion as appeared to be necessary. This portion is necessarily extensive, and it is hoped that some new light has been thrown here on some patterns of approach or thought which, today, can hardly be called scientific.

Next, the observations made in the field, on hand specimens …


Sedimentary Features And Geochemistry Of The Sulphide Facies In The Transition Between The Lamotte Sandstone And The Bonneterre Formation In The Fredericktown Area, Madison County, Missouri, Farouk El Baz Jan 1961

Sedimentary Features And Geochemistry Of The Sulphide Facies In The Transition Between The Lamotte Sandstone And The Bonneterre Formation In The Fredericktown Area, Madison County, Missouri, Farouk El Baz

Masters Theses

"SCOPE AND PURPOSE The Lead Belt area of southeast Missouri, which is nearly 40 km. long and 10 km. wide, is considered, at the present time, the most important lead district in the world. Lead has been mined in this area by the natives prior to 1720, and almost continuously up to the present day. A variety of sulphides are mined from different places in the district.

The sulphide deposits in the Lead Belt are considered to be typical examples of the Mississippi Valley Type Deposits, which are distributed all over the world. As in practically all the Mississippi Valley …