Transition metal compounds show many fascinating properties that can be exploited in sensors,
next generation electronics, and in catalysis for chemical reactions. Bulk materials exhibit high-temperature superconductivity, colossal magneto resistance, metal-insulator transitions,
and many more exotic properties. Nanoclusters, surfaces, and interfaces provide us with the
opportunity to combine and tune these fascinating properties, in obtaining novel functionalities.
This is also the case when transition-metal ions are introduced in an organic molecule,
as beautifully realized in nature with the active role Mn atoms have in the fundamental process
of photosynthesis. The astonishing electronic and magnetic phenomena stem from the delicate
interplay of the spin, charge, and orbital degrees of freedom associated with the open-shell
transition metal ions. Their understanding and exploitation embody the central scientific
questions challenging the field of condensed matter physics. The development of novel computational
approaches, as well as the deeper theoretical understanding of modern electron spectroscopies, has
recently enabled us to disentangle the role of these different low-energy degrees of freedom.
In this talk I will illustrate - with a few selected examples - how theory is contributing to the refinement
of modern spectroscopic techniques and to the furthering of our microscopic understanding of the spin, charge, and orbital interplay in complex materials.