  Electronic states are responsible for most material properties, including
chemical bonds, electrical and thermal conductivity, as well as optical and
magnetic properties. Experimentally, however, they remain mostly elusive. Here,
we report the real-space mapping of selected transitions between p and d states
on the {\AA}ngstr\"om scale in bulk rutile (TiO2) using electron energy-loss
spectrometry (EELS), revealing information on individual bonds between atoms.
On the one hand, this enables the experimental verification of theoretical
predictions about electronic states. On the other hand, it paves the way for
directly investigating electronic states under conditions that are at the limit
of the current capabilities of numerical simulations such as, e.g., the
electronic states at defects, interfaces, and quantum dots.
