Mass spectrometry is an analytical tool for measuring mass-to-charge ratio. Coulomb explosion is a process where a molecule is destroyed typically through a laser excitation leaving behind positively charged ions. We use data from mass spectroscopy to analyze the energy distribution from the Coulomb explosion. This requires solving an inverse problem for an integral transformation. In this talk, we introduce and explain the mathematics for the data analysis. This project is in collaboration with Wei Kong, Kim Tran and Steven Tran from the Chemistry Department at OSU. The talk is based on fist principles and only calculus background is assumed.