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Physical Sciences and Mathematics Commons

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Selected Works

2014

Ronald J. Duchovic

KINETIC-EQUATIONS

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Full-Text Articles in Physical Sciences and Mathematics

The Analysis Of Muonium Hyperfine Interaction Measurements Of Thermal Rate Constants For Addition Reactions, Ronald Duchovic, A Wagner, R Turner, D Garner, D Fleming Oct 2014

The Analysis Of Muonium Hyperfine Interaction Measurements Of Thermal Rate Constants For Addition Reactions, Ronald Duchovic, A Wagner, R Turner, D Garner, D Fleming

Ronald J. Duchovic

A new model is developed for the analysis of muon spin relaxation (mu-SR) measurements of muonium (Mu) reaction rates with other chemical species. The kinetics component of the model is specifically developed for addition reactions but can be extended to direct reactions. The polarization component of the model assumes that the adduct formed possesses a single, effective spin precession frequency. The complete model is solved to obtain an analytic expression for the mu-SR signal as a function of time. Both a time-ordered sequence method and a Boltzmann spin equation method give equivalent solutions. These solutions are analyzed under various kinetic …