The output of the simulations are time dependent 2D distributions of temperatures, whereas the temperatures characterised from experimental data represent an average temperature across the probed region. In order to allow comparison between these different types of data, the simulation outputs were converted to a single spatiallyaveraged temperature for each time point weighted to account for the variation in probe intensity across the probed region (ESI, Section 11). Finally, to validate the entire model, T-Jumps in water sandwiched between CaF2 windows, and in freestanding Mordenite pellets, were simulated and compared with experiments/simulations reported in the literature (ESI, Section 12 and 13).