| In the last decades, the quantum mechanical modeling has moved from isolated molecules made of few atoms, to large supramolecular aggregates embedded in complex environments. This has been made possible by the important progress achieved by multiscale models based on the integration of QM methods with classical descriptions. One of the first example of this integration is represented by continuum solvation models that starting from the eighties of the last century have been largely and successfully applied to predict properties and processes of solvated molecules. Almost in the same years, another alternative classical description, based on Molecular Mechanics (MM) has been coupled to QM methods to give the hybrid QM/MM approach. Since their first formulations, these QM/classical models have seen an enormous development in terms of accuracy, robustness and generalizability. This progress has allowed their application to systems of increasing complexity and to processes never faced before within a QM framework. An important example of such an achievement is represented by the novel insights reached in the fundamental understanding and the possible exploitation of photoinduced processes in biomolecules, nanomaterials and, more in general, composite systems where different "objects" of molecular, nano and mesoscopic scale are coupled together. In this review, we highlight the potentials and the limitations of such modeling, thereby showing which developments are still needed to definitely make the QM-based multiscale strategy the gold-standard for explaining the outputs of novel advanced spectroscopic techniques and predicting the outcome of light-activated events in composite systems.
The multiscale strategiesIn the years, two main strategies to combine QM descriptions of the target and classical models of the environment, have been proposed. Interestingly, their first formulations date back to the same years, namely the end of the seventies of the previous century. [8][9][10] The two strategies refer to continuum and discrete (or atomistic) descriptions of the environment, respectively. In the latter case, the atoms of the environment (or group of atoms in coarser grained versions of the model) are treated through a Molecular Mechanics (MM) force field (FF). [11][12][13][14][15] In the former case, instead, the atomic nature of the environment is lost and a continuum description in terms of macroscopic properties is introduced instead. 16-18 Despite this huge "modellistic" difference, the two formulations present important common elements when reconsidered from the point of view of the QM target. In any case, for simplicity's sake two separate presentations will be given. QM/continuum. If the environment loses its atomic nature, an effective description has to be introduced which is based on some macroscopic properties. This is exactly what is done in continuum models where the target sees the environment as an infinite dielectric medium characterized by a (generally) frequency and position dependent permittivit...