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Full-Text Articles in Physical Sciences and Mathematics
Implementing Quantum Random Walks In Two-Dimensions With Application To Diffusion-Limited Aggregation, Colin Frederick Sanberg
Implementing Quantum Random Walks In Two-Dimensions With Application To Diffusion-Limited Aggregation, Colin Frederick Sanberg
Undergraduate Honors Thesis Collection
This study simulates random movement and aggregation of particles in two-dimensional space based upon both quantum and classical mechanics. Using an original computer program to perform the calculations, the objective is to compare how quantum effects influence the random movement of a particle in comparison to the classical random movement. These effects are further studied by analyzing how the amassing of particles around a "seed" is affected by the differences in the random movement. Using the classical models that were generated as the basis of comparison, the initial results show that the quantum model aggregate grows at a slower ratc …
Synthesis Of Hydroxycyclopentenones Via Titanium Complexes, Joeseph David Frasca
Synthesis Of Hydroxycyclopentenones Via Titanium Complexes, Joeseph David Frasca
Undergraduate Honors Thesis Collection
The electronegativity difference in the titanium-carbon bond has provided a synthetic framework in the formation of a wide range of organic products. Hydroxycyclopentenones are examples of such products and can be synthesized through a titanacyclobutene intermediate via a one-pot procedure. The process involves the incorporation of carbon monoxide into the titanacyclobutene ring with a concomitant addition of an alkyl halide in the presence of samarium diiodide. The synthetic utility of this reaction was explored by varying the alkyl halide. The results of such explorations show a variable tolerance for particular alkyl groups. The details of this project will be discussed.
Nontraditional Synthesis Of Organometallic Compounds And Allylic Alcohols, Andrew J. Hesse
Nontraditional Synthesis Of Organometallic Compounds And Allylic Alcohols, Andrew J. Hesse
Undergraduate Honors Thesis Collection
One of the central dogmas of chemistry is the use of convection heating to increase rate and yields of reactions. However, other methods for the impartation of energy do exist. Microwave irradiation uses high power waves to directly excite molecule into higher energy states. This speeds up the kinetics of the reaction and thermodynamically favorable products are formed at a higher rate. This project successfully uses microwave irradiation to perform organometallic syntheses of iron based compounds such as ferrocene and iron diene tricarbonyls. Another alternative method involves using mechanical energy as a substitute for thermal energy. By rapidly colliding reactants …