This document discusses temperature programmed desorption (TPD) experiments on TiO2 surfaces to study the behavior of subsurface argon atoms. Scanning tunneling microscopy images of the TiO2 surface are shown at different scales. TPD experiments are performed by heating a sample with buried argon atoms while monitoring the desorbed gas with a mass spectrometer. Sharp TPD peaks indicate argon is desorbing from subsurface sites rather than just the surface. The results are modeled using equations that include argon diffusion and an "attractive force" between argon atoms and the lattice. Increasing the strength of this attractive force in the model better matches the experimental TPD curves.