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In contrast to a regular ccp/hcp metal arrangement where all metal-metal distances are equivalent, in a metal-centered icosahedral shell arrangement of Ih symmetry, the three tangential metal-metal edges in shell 1 are geometrically imposed to be ∼5% larger than the three radial edges based upon angular strain considerations of the identically deformed 20 tetrahedra within an inner 13-atom centered icosahedral shell. 16a This uniform contraction of the radial vs tangential edges is in complete agreement with the experimentally observed value of 5.3, Table 1) for shell 1 in 1 {i.e, 2.78 Å, 2.64 Å/2.64 Å] x 100, 5.3, as was also previously found in 2. A similar 5.2% contraction is also observed for shell 2 in 1 {i.e, 2.825 Å x 2, 2.64 Å, 2.73 Å, 2.64 Å, 2.73 Å, x 100, 5.2
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16a This uniform contraction of the radial vs tangential edges is in complete agreement with the experimentally observed value of 5.3% (Table 1) for shell 1 in 1 {i.e., [(2.78 Å - 2.64 Å)/2.64 Å] x 100 = 5.3%}, as was also previously found in 2. A similar 5.2% contraction is also observed for shell 2 in 1 {i.e., [(2.825 Å x 2) - (2.64 Å + 2.73 Å)/(2.64 Å + 2.73 Å)] x 100 = 5.2%}.
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