N = 5 Spherical Code Structure
The N = 5 spherical code solution has a degenerate continuum of structures ranging from a square pyramid (SP) to a triangular bipyramid (TBP) arrangement of spheres. In reference [Phillips,Jankowski,Marval,Glotzer,PRE,2012] it was shown that entropically, the square pyramid is the preferred structure of the thermodynamic cluster. So the N = 5 spherical code cluster structure has symmetry C4v and ΛSC = 0.4142. The square pyramid structure is equivalent to the N = 6 spherical code solution, an octahedron, minus a single outer sphere. It is also equal to the N=4 transition structure with one sphere added.
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