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Unity In The Theory Of Elementary Particles Through Group Theory, Douglas Karl Lemon Jan 1974

Unity In The Theory Of Elementary Particles Through Group Theory, Douglas Karl Lemon

Undergraduate Honors Capstone Projects

Science is the process of seeking unity in the diversity of natural phenomenon. The purpose of this paper is to demonstrate that group theory brings unity to the theory of elementary particles. The prime motivations are first, to find a quantitative representation of the Lorentz transformation, and second, to find a quantitative representation of angular momentum. Since both of these have continuous parameters, groups with continuous parameters, particularly Lie groups, are of interest.

The first portion of the paper develops the definition of Lie groups and their associated Lie algebras. The prerequisite definitions of transformations, groups, group representations, and continuous …


The Thermolysis Of Bornyl And Iso-Bornyl Acetates, Allen Reed Jensen Jan 1974

The Thermolysis Of Bornyl And Iso-Bornyl Acetates, Allen Reed Jensen

Undergraduate Honors Capstone Projects

Recent investigations in the area of acetate gas phase thermolysis indicate a mechanism which involves a similar transition state despite the acetate used. The reaction preferentially goes through a cis-elimination with the β-hydrogen atoms, proceeding through a six-membered ring transition state.

The purpose of this study is to examine the effect of a strained bicyclic ring system upon the mechanism of acetate thermolysis. Throuqh kinetic studies and product identification of the pyrolyzed products of bornyl and iso-bornyl acetate, an insight into the preferred mechanism can be obtained. A previous study (cited later) indicated that the accepted six-membered cis …