  By considering the effect of varying the target radii and detector aperture
width on the scattering angle in experimental Compton scattering, mathematical
models were developed and subsequently incorporated into Monte Carlo
simulations. By simultaneously varying both of the investigated parameters,
their optimal values were determined such that a minimum cumulative
experimental uncertainty would be produced, accounting for the width of
spectrographic photopeak and the number of detected counts; this minimum value
was concluded to be 2.35 keV. Recommendations for further adaptations to the
investigation, such as incorporating attenuation coefficients and generalizing
the simulation to three-dimensions are discussed.
