  With an expected energy of 7.8(5) eV, the isomeric first excited state in
$^{229}$Th exhibits the lowest excitation energy of all known nuclei. Until
today, a value for the excitation energy has been inferred only by indirect
measurements. In this paper, we propose to use the internal conversion decay
channel as a probe for the ground-state transition energy. MatLab-based Monte
Carlo simulations have been performed to obtain an estimate of the expected
statistics and to test the feasibility of the experiment. From the simulations
we conclude, that with the presented methods an energy determination with a
precision of better than 0.1 eV is possible.

Instrumentation and Detectors;Nuclear Experiment