Short Title

Simulation for Time-Series Analysis of Actinium-225


radioactive decay, time-series analysis, secular equilibrium, batesman equation, differential equations, monte carlo, python

Subject Area

Physics, Laboratory

Type of Submission



This report describes the development of a script programmed in the Python language designed to simulate radioactive decay using Monte Carlo methods. This is to conduct analysis on the equilibrium behavior of a specific radioactive decay chain, replacing the traditional method of deriving a mathematical representation via differential equations. The resulting script produces a stacked histogram illustrating the decay of Actinium-225 over time and more closely models the potential for irregularities in the natural phenomenon. The script has potential applications in nuclear imaging and medical physics.