An fcc gold icosahedral-twin bowtie, one tenth (not counting the icoshedral core) of a twenty tetrahedral-crystal cluster that shares a one or more sets of crystallographic planes. This small part of the icosahedral cluster therefore "lights up like a star in the night sky", in optical and digital darkfield images of the cluster taken under the right conditions. Which lattice planes are common to both tetrahedra, and therefore make this behavior possible?
Below find the lattice image of a metal nanocluster whose structure was unknown, until an icosahedral twin bowtie (see the image below that) was discovered to be hidden in the top image via some digital darkfield detective work.
Can you find that bowtie in the 1023 tiny experimental darkfield images below, calculated from the cluster image above, and how many times does the bowtie occur?
