Chemical applications of topology and group theory. 11. Degenerate edges as a source of inherent fluxionality in deltahedra

  • King R
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The 5, 8, 9, and 11 vertex deltahedra containing the minimum number of tetrahedral chambers are inherently fluxional since certain possible diamond-square-diamond rearrangements can lead directly to a polyhedron identical to the original one except for interchanges of some vertices. By this criterion the 6, 10, and 12 vertex deltahedra are inherently rigid. The 7 vertex pentagonal bipyramid is also inherently rigid but can stereochemically non-rigid in cases where a capped octahedron is an accessible intermediate. These topological observations are consistent with known information on the stereochemical non-rigidity and hydrolytic stability stability of the delta-hedral borane anions BnH2-nand the stereochemical non-rigidity of MLncoordination complexes. Thus the stereochemical non-rigidity of all ML7complexes investigated as contrasted with the stereochemical rigidity of B7H2-7can be related to the energetic accessibility of capped octahedral species in ML7complexes but not in B7H2-7. © 1981.

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