FIG. 5: “Magic” planar system of 13 resonant atoms for two different orientations of E$_{in}$ shown in plots (a) and (b). The inset illustrates the geometry of the system. structure. (Within the NNA, the LF zeroes out at the “empty” atomic locations outside the outer hexagon, so locsitons make a 2D standing wave.) In general, the zeroes (nodes) of that wave are located somewhere in between atoms, so at each individual atom we have a nonzero LF amplitude. However, in the magic atomic configuration at the precise atomic resonance, δ = 0, these nodes nearly coincide with the locations of the inner-hexagon atoms. Thus, we have a nearly ideal picture of a 2D standing wave, with large LF intensities at the antinodes (maxima), located at the central atom and the outer hexagon atoms, on one hand, and nodes (zeroes), located at the inner-hexagon atoms, on the other hand. To an extent, this situation is reminiscent of a 2D standing wave on a water surface in a round bucket with the first antinode at the center of the bucket, where some middle observation points are located at the nodes of the wave. Any symmetry distortion in this system (e. g., by attaching a foreign atom or molecule to it) would break the balance of the local fields in the system and bring back the resonant LF suppression, which is cancelled in the symmetric “magic system”. This effect could potentially lead to designing nanometer-scale sensors for detecting various bio- logical molecules, etc. For example, such a nanodevice may include target-specific receptor molecules that form a locsiton-supporting “magic” system. A localized locsiton then would get suppressed whenever a target biomolecule attaches to a receptor, otherwise the locsiton suppression at the electronic resonance would be “magically” cancelled. 21