In this review (see roadmap in Fig. ), we aimed to show the reader that the chemical implications of FOs cannot be appropriately considered without analytical, physical models (rooted in physics) and numerical simulations (rooted in computational physics and chemistry). As we have mentioned in the introduction, charge density oscillations are given various names depending on the field of study. We believe a unified terminology throughout the plethora of already-established descriptions is the first step to a new common theory that links chemical reactivity with the physical properties of the systems studied. However, there is an increasing need for an accurate theoretical description of FOs that can be readily transformed into working code. Unfortunately, reliable calculations using conventional techniques (such as DFT) on chemically relevant systems (such as catalyst surface) require prohibitively large molecular models (due to bulk cuts or large unit cells). Such calculations borderline the currently available computational power.