TSH is a very popular method for the investigation of photoinduced dynamics. The advantage of TSH is its on-the-fly character, i.e. potential energy surfaces (PES) don't have to be known in advance. This feature is shared with Gaussian-type wave packet propagation, but TSH comes at a considerably reduced computational cost. However, given the intricacies of the electronic structures of transition metal compounds and their substantial size, low-cost approximations to the PES enjoy popularity.